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g, I nc. QUALITY D / '/ (r .- TR-75-74 SEISMIC ANALYSIS _____ ____ -OF A SHUTDOWN HEAT EXCT1ANGER TYPE CEU FOR THE SOUTHERN CAL IFORNIA EDISON COMPANY 1 ' S -SAN -ONOFRE UNITS NO.2 AND NO. 3 PLANTS Revision #2 Prepared For: Engin-eers and Fabricators, Company P.O. Box 7395 Houston, Texas 77003 NUS Technical Report No. 1514 10 February, 1976 2'rere By: J. W. Culley Approved R. A. Weiler, Jr. P. T. Balamotis 14 anager Eng. Mech. Dept. Boston Office Engineers and Fabricators, Company Purchase Order No. 64087-D NUS Corporation 400 Totten Pond Road Waltham, Ha sachusetts 02154 89108060
Transcript
Page 1: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

g, I nc.

QUALITY D

/ '/ (r

.- TR-75-74 SEISMIC ANALYSIS

_____ ____ -OF A SHUTDOWN HEAT EXCT1ANGER TYPE CEU

FOR THE SOUTHERN CAL IFORNIA EDISON COMPANY1' S

-SAN -ONOFRE UNITS NO.2 AND NO. 3 PLANTS Revision #2 Prepared For:

Engin-eers and Fabricators, Company P.O. Box 7395

Houston, Texas 77003

NUS Technical Report No. 1514

10 February, 1976

2'rere By: J. W. Culley Approved R. A. Weiler, Jr. P. T. Balamotis 14 anager

Eng. Mech. Dept. Boston Office

Engineers and Fabricators, Company Purchase Order No. 64087-D

NUS Corporation 400 Totten Pond Road

Waltham, Ha sachusetts 02154

89108060

Page 2: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

RECORD OF REVISIONS

.'ision No. Date Page Description Author

1 2/10/76 Title Page J. Wawrzeniak

Record of Revision Page

A-1 - A-3 Addition of Addendum #1 - Foundation Loads .

Page 3: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

ADDENDUM #1

FOUNDATION LOADS

A-1 Recv. 11 2 / 10/76

Page 4: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 5: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 6: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

TR-75-74 SEISMIC ANALYSIS

OF A SHUTDOWN HEAT EXCHIANGER, TYPE CEU

FOR THE SOUTHERN CALTFOR IA EDISON COMPANY'S

SAN ONOFRE UNITS NO.2 AND NO. 3 PLANTS

Prepared For:

Engincers and Fabricators, Company P.O. Box 7395

Houston, Texas 77008

NUS Technical Report No. 1514

27 October 1975

Prepared By: J. W. Culley Approved By:/, R. A. Weiler, Jr. -11flliam -t. McPherson P. T. Balamotis < Manager

Eng. Mech. Dept. Boston Office

Engineers and Fabricators, Company Purchase Order No. 64037-D

NUS Corporation 400 Totten Pond Road

Waltham, Massachusetts 02154

Page 7: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

TABLE OF CONTENTS

on Title Page

1.0 INTRODUCTION 1.0-1

RESULTS AND CONCLUSIONS 2.0-1

ANALYTICAL METHODS 3.0-1

4 . REFERENCES 4.0-1

MATERIAL PROPERTIES 5.0-1

DEVELOPMENT OF STARDYNE MODEL 6.0-1

63.1. Plots 6.1-1 6.2 Beam Pro-erties 6.2-1 6.3 Nodal Weight Distribution 6.3-1 6.4 Support Configurations 6.4-1

7. 0 DEADWEIGHT PLUS NOZZLE LOAD ANALYSIS 7.0-1

7.1 Deadweight plus Nozzle Load Analysis 7.1-1 7.2 Local Stress Analysis of Nozzle to Shell Junctions 7.2-1

&.0 SEISMIC ANALYSIS 8.0-1

S.1 Frequency Analysis 8.1-1 8.2 Seismic Loading 8.2-1

9.0 STRESS CALCULATIONS AND RESULTS 9.0-1

9.1 Summary of Beam Stresses 9.1-1 9.2 Local Support/Lug to Vessel Stress Analysis 9.2-1 9.3 Support and Support Weld Calculations 9.3-1 9.4 Bolt Stress Calculations 9.4-1

AP1PIENDIX A STARDYNE Computer Ouput

A.1 Geometry A.2 "HQR" Output A.3 "Static" Output

APPI .';DIX B COMBINE Output

11.1 COMBINE Abstract 13.2 COMBINE Output

APPINDIX C SANSAR Output

C.1 SANSAR Abstract C.2 Local Nozzle Stress Output C.3 Local Support Stress Output

Page 8: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Section 1.0

INTRODUCTION

1Ie rngineering Mechanics Department of NUS Corporation received

tie Purchase Order No. 64087-D from Engineers and Fabricators, Co.

to perform the seismic analysis of a Shutdown Heat Exchanger to

be installed at the Southern California Edison Company's

!an Onofre Units No. 2 and No. 3 Plants.. The above analysis is

included herein and conforms to the requirements of the governing

Combustion Engineering Specification, Reference 1.

1.0-1

Page 9: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Section 2.0

RESULTS AND CONCLUSIONS

This section presents a summary of the heat exchanger results

as calculated in this report. The results include the effects

of deadweight, seismic, nozzle and pressure loading on the

supports and seismic lugs, support and seismic lug welds,

support and seismic lug bolts, and local shell junctions. The

analysis performed consisted of a worst case loading combination.

W'hen applicable, an upper bound for stress value was calculated.

The calculated natural frequency for the Shutdown Heat Exchanger

was found to be:

48.5 Hz

The calculation of this natural frequency may be found in

Section 8, beginning on Page 8.1-1. Flow induced vibrations

are not a problem.

From a review of the summary of stress results, no failure areas

were observed and,.therefore, the heat exchanger meets the

seismic and nozzle load requirements of the Combustion Engineering

Specification, Reference 1.

2.0.1

Page 10: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

I...t f t S o Sore . L n MaxiImum Str:ss Va~lue A1: l

Nozzles N,,NZ Primary Nozzle Loads Local

Vessel Membrane o9136 28,000 (1) Nozzle 7220 26,730

Tubesido Primary Seismic Membrane + Deadweight 12156 19,250

Plenum + Nozzle Loads 13043 19,250 (2) Outlet + Pressure 13043 19,250 Inlet

Sh1lls ide Primary Membrane

Inlet Plenum 6756 19,250 Inlet Nozzle 4651 16,500 (2) Outlet Plenum 6729 19,250 Outlet Nozzle 4987 16,500

Shell Primary 6832 19,250 (2) Membrane

Support/Vessel Primary 5630 28,800 1 Seismic Lug/Vessel Local Membrane 5037 28,800

Support/Vessel Primary + 7856 52,500 Seismic Lug/Vessel Secondary 38078 52,500

Support General Membrane 1439 17,500 (3) Gcneral Membrane 4639 26,250 (4) Plus Bending

Support Weld Shear In Fillet .2142 21,000 (1) Weld

Support Bolts Tension In Bolt 15848 40,000 (6) Ac

Page 11: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Locat ion Typ of Stress Loading Maxirnuin Stress Value AllowbleStrs

Scismic Lug General Membrane Seismic 3363 17,500 (3) General Membrane + Deadweight 12546 26,250 (4) Plus Bending + Nozzle Loads

+ Pressure .

Seismic Lug Shear In Fillet 6784 21,000T7F Weld Weld

Seismic Lug Shear In Bolt 13911 15,390 (6) Bolts -

Page 12: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

MAXIMUM STRESS VALUES

NOTES:

1) Primary Local Membrane Stresses are compared to 1.65 S, Reference 1.

2) Primary Membrane Stresses are compared to 1.1 S, Reference 1.

3) General Membrane Stress are compared to 1.0 S, Reference 9.

4) General Membrane plus Bending Stresses are compared to 1.5 S, Reference 9.

5) Primary Membrane plus Secondary Stresses are compared to 3 Sm, Reference 1.

6) Bolt Stresses are compared to Limits of Para. XVII-2460, Reference 9.

7) Weld Stresses are compared to 21000 psi shear, Reference 9, Table NF-3292.1-1.

jC>

Page 13: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Section 3.0

ANALYTICAL METHODS

A fillite element model of the type CEU 'heat exchanger was developed

U-Sil,: Control Data Corporation's STARDYNE computer code, Reference

10. This model included the major load paths, flexibility members,

M-ass of the unit.

Th trequency analysis was performed using the Householder-QR

option of program STARDYNE. For this analysis the units weight

as jistributed among nine (9) node points as described in

Section 6.3.

The liozzle load analysis, deadweight analysis, and seismic analysis

were performed using the STATIC option of program STARDYNE. The

dea&deight and seismic analysis consisted of inputing concentrated

forcs at the mass points equal to the mass times the respective

9n loadings. The nozzle loads were applied to be consistent with

the *cismic loading per Reference (1), Paragraph 4.1.3.

The final total stresses on each component were determined by

abs' lutely summing the effects of nozzle, seismic and deadweight

lozzds. NUS Corporation's computer codes PRECOM and COMBINE were

used in the summing of the stresses.

A local shell analysis of the nozzle to shell junctions and

sup-rt, seismic lug to shell junctions was performed using the

3.0-1

Page 14: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Welding Research Council Bulletin, Reference 4, as coded in the

SANSAR computer code.

Program abstracts of the NUS Corporation programs PRECOM, COMBINE,

and SANSAR are presented in their respective appendices.

Standard engineering mechanics of materials formulae will be

used to calculate support and support lug stresses.

3.0-2

Page 15: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Section 4.0

REFERENCES

1. Combustion Engineering Specification No. 1370-PE-301,

* Rev. 03-1/27/75, Project Specification for a Heat Exchanger.

2. EFCO Drawing No. CD-16645, Rev. D

3. :,US Corporation Proposal No. 7507041 (P-421).

4. -K. R. Wichman, A. G. Hopper and J. L. Mershon, "Local

Stresses in Spherical and Cylindrical Shells due to External

Loading," Welding Research Council Bulletin, August 1965

and Revised Printing, December, 1968.

5. Telecon with D. Ringo of EFCO on 9/17/75.

6. Chi-Teh, Wang, Applied Elasticity, Mc Graw Hill, New York,

New York,.1953.

7. Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965.

S. ASME Boiler and Pressure Vessel Code, Section II, 1974,

American Society of Mechanical Engineers, New York, New York.

9. ASME Boiler and Pressure Vessel Code, Section III, 1974,

American Society of Mechanical Engineers, New Yorlk, New York.

10. MRI/STARDYNE Structural Analysis System, Mechanica Research, Inc.,

Los Angeles, California, 1970.

4.0-1

Page 16: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

DATE - . CT ... -.....-**.* *... . ; **. . .... SHEET N O . . ...... OF .

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Page 17: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Section 6.0

MODEL

Prescnted herein are the model CALCOMP plots, nodal coordinates,

element connectivity, element flexibilities, and nodal weights

for the mathematical model used in this analysis.

This finite element model was developed with the use of the

Control Data Corporation CDC-6600 STARDYNE computer code,

Reference 10.

6.0-1

Page 18: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Section 6.1

Plots

Iresented herein are CALCOMP plots of the model together with

sketches illustrating the node and element numbering schemes.

Also shown on the sketches are the dynamic "principal" mass

6.1-1

Page 19: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 20: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 21: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 22: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 23: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 24: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 25: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 26: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 27: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 28: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 29: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 30: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 31: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Sect.ion 6.4

Support and Seismic Lug Details

6.4-1

Page 32: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 33: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 34: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 35: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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CHKD. UY /" DA , .. ........... 2 .................. .JOB NO .........................

-L~~~~- L--A7,r -7

A Lc-crrzA-T1 17cGJ FORC-~E 0 KJ T 111~ /L~ 04-L It A57

TILIC -$ 1-1

A T 51 /c4

Page 36: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

BY ~ - ATE I 'I / . SU JECT .......................................... :............................. SHEE:T N O ......... O F .....

CHKD. 13Y / DATE/ 2 > . .. ....... ............... .... ............. ..... J~t3 N O...... ...... ...........

I~i P L-.7c

13

FA 56377I47~

ri T1- 2o 3c~l -7 X 1 -4 .7o7)e, 2-.

-....-. -. ~707'i -7 xZ

107O~ -17c'7 1

rl t3 7 0 640 T707 -- 7i

Page 37: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

.... ..... ...O.......

..O..........................................................

.............. .... . ........ . .. i..T .......

(3 2YisZ ~C?9030C - y

5 6 47010 0 7

- v~sz +~ 0 vy3~-9z

AI cT(~ 11 4c-A C/A'- LL

216 -L96. 3t -t o2 -.-1 >'

7. 1- 3

Page 38: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

C H K D. 1.y Y '.. DATE. ..... :1i- / L ~ ~ A'<+!,' ~ JGN

.... .... .... ... ... .... .... ... .... .... ...

A G 4-' ZLL-0

:El I

TR -. ;) Z

__ S- k/T! 17 iV4

- AxIALD TIZ (L0 7-0 .1 v . 5

IJ-O.E~Ld3 r-7

7~~~>j,~~ C1r~~ / ZS

Z-1 0 D

({ 47~

Page 39: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

C H K-D B, I Y / -' D.. ATIE / .. / .. 1 . f . *f1... ... : 1 . ....... ..... 'n '.. .. . ..............'...........

[G o a L, v E 'S L Ua.S'I 'a. . . . . . ..T

No itE / \S EL R 4lc1 TV PA 0h $

/ . . - .3 I

I .... -A-PL Ao J90A

N-1 i5OO L5E V2- t

0 9 o & o

o 77 0

S-- p: u L o ca s o

TLEO L t 05 AAP A.PPL1EDP Tc NA.a' ZE LT RcssES

I A1o07-7-2E. VE7sd'L Juive-floy

thE.F~ (~es) F (d F~odes_ 4, am l P'1rued) 11

- 1.9S z 2. Oc + 'i c

CASO + l7 Z. + to52 7o3co 9a3o O

CAS - +3o -- 2/0o6oo

C/HEL 0+ 2--3 4E 33 . 1030'0 -1/o3 oo a

Page 40: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

.. . . . . .. . . . . .. . . . . . I .. . . . .. . .. . .. . .. . . .. . .. . .. . .. . . .~ .d . . ....J.... .. . .

......................~~b~ . .. A.Y..~ .I~ JOD NO........................

............... T ........... ....... .-.. ....... ....... ............ .................... ................... . .. ...... ...... ... . .

j=,:: LT L C? 7.' I C-7 2o

tIA rl Lr7AX I I l tic I .- L L L P~

L1670 CAE f

?&LE - .77 Z-9730

73~~

7. 7

Page 41: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

~~.. . . . . . . . . . . . . ............. . ........... I ............ . ....... j~ . . .........

* ~ r- 714>/ TIAJ. C ii77/h1&. S A iF~ o0

A?"'4 9" D 1)e~yAD ~~f

7~/l9 fic-PRir~Oe

c A* /Z77 -71.,TPIA l~

8.1-1

Page 42: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

.... .... .... .. .. .. .. .. .. . .. ... .. .......... .. ..

fO I

AT .[. ~I...

:z r-1 Z-LFOt v

A ~ P 117V ~ C D"11- T I:-

Page 43: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

DBY . ......... ...D ATE 7 ' U.J C. T............................................ . S H EL . .. ........

CHIKD. DY ... .. . DAT. . ....... -- ...... JOB NO. .....................

* .P-r. . I Is rc L or on C-)

SEI/ ri11C ZAD 0 n.I LFQI - 0/

A1 f-/ L-1 5S

Covoin . . 11 ROC

OT3E ,

1.&7 T1, T F E f FLC.Ti/MV of 7-f I -- DEJS/AP

cP THLE reny'sT NJA7dL r/'ELAc7y AS iT -rACTE F qc- T- - f h7P0

77//$ 0/4EC77lOSA/ /ST/ 0 F FL~ iL

/} WE OF 7/1E .1 ;J/7 'T7-iEU bJT toL.L i3EA41.vA LY. CO) LI/)70

CMrLPAOAiscus Mt'EDJ To 08E 57E5TR

OD P A I P3 . L 71D/ 5 iS/ & I.D Sr S Tr kLY ZD

8. 4,-1

Page 44: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

13Y. IV-) ( .- . . DAl( L ... ...........................J............... .. SH UET *N O f. ........

10 ~'L DALms FO.I f;Z~~)) i..

1. L. lFi'cri C19. 4- r- A.C /?RT1 A r;0

ii~~~~~~~ Pi~~L~T. FC RboJ4 U

0~~~~ ~ r- B. LP,('.rJ J' r-7.xSf~rLU A~

VC :lA L C-, -L -RA

LCA D CA[ I Tri ST'- FOP(.L

FO~R L 0 A/D A S 2 T14F FA 7'1C. F4I9a

F D Pc FR oPV i-hL To 7hC /1S74vCJ

IZ r-, -r ( 7C).2-2

Page 45: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

DATC 'oC 7 t; Q 1-C ............/.................. ................ ....... H E T N O . . .....O . . F .........

DHK . By ... -' I ... JON

L0AL) C/\$0/) R71~

_ ~ ~ AVQm .. R lzv.. .0 Fc2~V'" I r,~

C- C-,- 5' (IEU

(~. . %Z -31--3 32-A -4

12. /cz- b3c2 -1077/

I L.Z, -. 1 2 103% '5 -13,477

17 72) 1 -P,6 6 le 6182. DIC'S7

- - (~ bP.~ t~ ,f-fiCD TU... Q(r L,T t

-r-B. ~ '-sItCI.T LOAD

Page 46: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

C H4 KO. BlY ' - D ATL ...... ........................................................ JO Ul N O .. .....................

S tjPP r.'-' C-Z ro1s) A

0 - -.r 1

S i~jP P0 -r ILA. N xJ2( -5,

IL~ L659) k3oe ~

-2- -. 5 . .. 7 - -- -.

~b*- F.= A 13 P IVA, -7 LO ALI6

8.2-4

Page 47: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

CIIKD. L:'Z . DAl C/A ....... JOB N O .....................

-Sclo Uy~ r.A - 2 Ar PO

A.PPFI

1,, 7,Ei.-v Nt-r-A - f?- 7-7:. r l

S. 0 V T1.1- --s

2-'a 13~1.

fJL - V -f4 Iq6 14 1 - .!o

v..l- 6-7 611 I q L '

, ZJ SHII 7 cf .

A "- .

Page 48: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

_.%uCr. .... A .I U J C ........................ ..............................C.. Sti r CT N O ........ O F . ......

CHKYO. fl ' 1CDATE............... ............................ . ..... JO B NO .............................

5WL C) r-AL 1"I Or.)- 1C) PF ._ 7 u'-rTo- 0

Sv,?PorjLu C7 / /S- ;-L Li rT* 1 1

CKIr~1 (PS) CQ____ _______

U P PD r.,T/75- 1 07C

VF 32 S

t II A P P L i L11- jWD 'PA' THIrKNESS9 U ZiE /j PnI6I;'iF

0 1. kc. A.C - 7

-~~rf Xr i '12 .' I~~- A ~t

19vD V; .4/C)U/) L-L 0/ L 7/ rf0A:-j 'o4' rlj e.,rAH< jr

/IF / -

Page 49: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

.......................................... ...............................O... ........ ............ ..........

K> .~s UU'--S)

v~v2 p 1 r1 -5 ...

Ti- 7 3 S U217 143 t 70310 714.jiIQ - 70, -45- -49 c)4

-4 M- - -

19-7 7213

TOi'V( . 0"U - 2Ie 4&~ 3, z0 -S- - ,

7 ~ ~ ~~~~) M Z Y2lV .26CNL,/

Page 50: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

SDATE ./S UDJ C ............................... SHELT N O .... ......

CIIKD. D DATE '/ .... .... ................ ..............JO O................. .....r :,- ) ,

LUC -T V> -S5E

L-U

r 1I2. p p * . ifl

Page 51: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

C HI4 . BY > . DATE! ............................... -..........I......I......... J O O ...N.......... ............

* .. *2SuPPORIt /%i'-'O. WELD STrNC-SS "---'*A 4,L.V%~2

O(?c-5 <C--T-TAJ' C -rfF r!oi-T &McL

.45.

A ri ~ 1 r**~~ . Aj v 7 C, -7./- 5=

Page 52: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

.................................................................. .. ... .............. .................... k ~~..~

c f1

*POLAR r ?A 0 M ;0 r~

IJE ,, '7

S75 (4L(11.) L 6a-6h)l

-. ~~P ...... gi .. i

-Z3 )

z -2L~z~") ZIJ

Page 53: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

fCPi "Po..o pu c.i r~ru f-

P 'vi rl

'3 Ofz 0 (7 j5)

- .

76.4. 2 ..........

93.~~~ 35~ F(

Page 54: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

............ ..... .... ... ..... ..... ......... ... .... .. ... ...... .. .. .... ... ... ... ... ..L... f ? ..... ..... ........ .. .

Ll Pi- L

.3- P- t'1 L T-R-F

3~~I7, p9

c-f;kJ1~* 7 f%~/A6,~T ~ '(P5Lp

.. ~ ~ R.. t 65J.271A

Z7~ 7PPSI

z 2/

0'PS -z p~ Jz~ S'

9.

C~~~. ......... C/

Page 55: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

7.,5

77-7 2.t

19.7.

Page 56: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

X 2

7

* . ~ ~ 223,S (8,L/ri)- /O,?V1( ) 7.'~f

7 G)- 15.z-a~I F76c7 IIL _.7

z7~ (.14.5

e7) 7 -'J:5(I' Vt

* ~ 1- L4

A~~~~~. ~, fjLL~c*- c71s * F4- . r/LAI £2i ~ - 7 7

-79 1I

..... ..... .......... .. -7 5. . . ...t. . .. . . .

Page 57: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

I 7

A 4, A

/47- qn7 d//t~~I

(A~ Y./

A4/(~ Y~' 7L' /~ + 98

~~Ac'efrej,

Page 58: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

. ............ ... . .... . . .......

CHK~.. .. .......... o...........................................

...... DY ~ A T E .~ ......... L .. vL " .. . . .............. . . . . . . . . . . . . . . . . . 0 .

............................. . . . *,

.. .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. ... ... .. ........ ......

'4IfitiC L' 7 C-0 ' - Y IoQA' '

tv/ v-rIt,.ATO - 719. ,C~vfI

,;Uo T~F''~ LIJ/I S . 76 Ir H

IM .1 -LA 150../

Oj5 -Fl-(e DTCT/ PUl 1 c0 lSf0

L~~iC ~ ~ ~ 1 / 4-ru

$~frl PI f-T N I

r- 7

9. 3 3

Page 59: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

... ..............-. ; I, t 1 ..... .. ............................. JO L N O

-f A.

A~A

PO A /v* .

a 3-T7

2.2.

760 .7z/3 . 26703, zJ 3

9.3-9

Page 60: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

---~ R --------$ ---- --- -4 ----------- ._ .............. ... -... ..... ..... ..................

7z, 3 -7

C-711~ PSI

~~7/IIILt.E

2 . 5- - ,

-9. 3- 103

Page 61: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

D. E-PHIIB JO O N O*

,~~ ~ ~ , ).oi ' .............. O N ........... ... ......

... ... ... ... ..

- -p s

... .. ...

Page 62: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

CHKD. BiY O h i V . ....... . r. -- .. JOB] NO .........................

.. .. .... . ......... -L -.- . -.......... .. .........

p 70op/t

115

L. 27.23f L ,A

Az A A.

NiA tor L

Z7. 7- - 3

110~~ ~~ f- t A- 0tr

Page 63: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

17

31dC o T.6

7-1- 0 T Ne (7 K"- 70-rnE rff Z 4

-~ - .~A 3-L~. PA..

77tt~~ c 4' 2D ~ ~ '

,-7707

___ 77 1c198 ;,II -< op5z~

FILL F7- L.4LL tS fQIr 1>c tir 7-r

Lyr$ s~A 17rI Lij C.' L3 e ~',- ?F(

.j'~ ~J(? s's- '-70

Page 64: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

8 5234. -ll48. -650.

10 3056. -12523. -650.

11 16552. 11305.

12 14954. 11297.

13 3062. -11953. -650.

14 3053. -11845. -650.

15 15773. 112d2.

16 15738. 11316.

TMiL RESULTING STRESS INTENSITIES ARE

LOCATION 512 523 S31

I 8225. 1415. -9639.

2 8221 1417. -9638.

3 3605. 2773. -6379.

4 2838. 5059. -7897.

5 10716. -1889. -8827.

6 10713. -1888. -8q2s.

7 5401. 1544. -6945.

8 6312. -498. -58e4.

9 14229. -10523. -3706.

10 15579. -11873. -3706.

11 5246. 11305. -16552.

12 3656. 11297. -14954.

13 14915. -11203. -3712.

14 14398. -11195. -3703.

15 4491. 11282. -15713.

16 4422. 11316. -15738.

~I7.i[I7C_

Page 65: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

NOZZLES N3 *N4. LOAO CASE 2

-. OPT '(TYPE K83ETA KE

KEY! KEY2 KEY3 KEY4 KEY5 Sm I S142 p TN TV R4 1750CO. RMV 5.~37O1SO- OOz.,c

GAM4-A BETA 18.a3 .2478

x y .0300 ~T 7.50 -- 0000

- ~ ~ A A3 A4- .' A5 6 7. . . . . . .4.094-J5 .01266 .854 .08500 e.05920 .0312?3

Z 31 82 83 84 35 4

.. ..... S..

.. ~~i ... ...

Page 66: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

- OPTION THREE OF PROGRAM NOZZLE

STHE Fo.d.CES(POUNOS) AND 40MENTSWIOUND-INCHES)

FY.........................MY M .. 5523. 5523. 210300. 210300.

-T.4E. PR14ARY STRESSES- IN THE VESSEL -AND NOZZLE ARE

LOC:ATION .X so . 5 TOX

1 -125. 7396 . -75. 495.

2 -125.........7396.- - 73i. 2021 ..---.

3 464 50;3. -75. 349.

4 7270. 1881......-75. 349..................

6 -125. 7346. -t). 202.

7 8a. 508. -5. 349...................................

8 - 7270.......181.......75;- 39 . .--.....-

9 S383. 6309.......7ti 1461.

10 -1655. 6309. -75. 1461.

1153aO.' 6309. -- 75..- 14t1 -~ . .. . . . . .. -. .-

12 -1655. 6309. -75. 1461.'

13 - 1'63. 6309. -75.-- 6.

-1.1863.-~ 6309........75........861........

~15 1863. 6309. -75.- 2062.

16 1- C363. 6309. -75.- 861.

TH.'-t RESULTING-PRINCIPAL- STRESSES AWE--. .

LULATION SI S2 53

I7429. -158. -75o .

S ~ ~ .7402.--.-131........75m. .....

3 4911. 480. -7)..

4 7292. 1859. -75.

5 749. _58o -75.

6 7402. -131. -7,.

7 441 4130. -7S.

3m9 -7S..

C7

Page 67: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

7 7292. 1854. -75. ,%

5 7?4e3. -158. -75.

6 7402. -131. -75.

7 4911. 480. -7S.

9 7379. 4311. -75.

10 6569. -1915. -75.

.-7378. 4311. -75.

12 6569. -1915,75.

13 7118. 1054. '-75.

14---- 6470. 1701. -75.

15 7118. 1054. -75.

16 6470. 1701. -75.

TN RPESULTI NI STRESS INTENSITIES AHE-------

LOCATION S12 523 S31

1 7586. -83. -7504.

752 -- 56. --- 7477. ..... ... .

3 4431. 555. -4986.

4 5433. 1934. -7367.

5 7 ..-... 3. -7504....

6 7532. -56. -7477.

7 4431. 555. -4986.

8 5433-- 1934. *7367.

9 . 3067. 4385. -7453o

10 8484. -1840. -6644.

11 3067. 4386. . 7453.

12 8484. -1840. -6644..

13- ~ -6064. 1129. -7193.

4769. 1776. -6545.

15 6064. 1129. -7193.

16 4769. 1776. -6545.

-. ji

Page 68: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Tnt: TOTAL STRESSES IN TiE VESSEL AND NOZZLE ARE

Lt -ATION Sx SO SY TOX

1382. 8729. * 495.

2 1382. 8729. . 202.

3 1588. -5743. . 349.

4 12355. 12023. . 349.

5 -1633. 6064. -150. 495.

6 -1633. 6064. -150. 202.

7 8179. 6758. -150. 349.

8 2184. -8250. -150. 349.

9 -8708. 2108. -150. 1426.

i0 -15575. 2108. -150. 1426.

11 19469. 10510. * 1497.

12 12264. 10510. * 1497.

13 -1214!. 2108. -150. 2026.

14 -12141. 2108. -150. 826.

15 15866. 10510. * 2097.

16 15866. 10510. * 896.

THL RESULTING PRINCIPAL STRESSES ARE

LOCATION S1 S2 S3

1 . 8762. 1349.

2 8735. 1377.

3 1604. -5759.

4 12515. 11803.

5 6045. -1664. -150.

6 6069. -1638. -150.

7 8260. 6677.. -150.

8 2196. -8271. -150. C -(

9 2293. -a8-3. -150.

10 2223. -15i6dY. -150.

11 19712, . 10261. *

Page 69: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

-AZ iZ. 01

13 2391. -124e4. *150.

14 2156. -1219. -150.

15 16599. 9787.

16 16012. 10364.

The ESULT!NG STRESS INTENSITIES ARE

LOATION S12 S23 S31

1 7413. 1349. -8762.

2 7358. 1377. -8735.

3 7364. -5759. -1604.

773. 11803. -12575.

5 7760. -1514. -6245.

6 7707. -1488. -6219.

7 1583. 6827. -8410.

B 10467. -8121. -2346.

9 11186. -8743. -2443.

10 17912. -15539. -2373.

11 9445. 10267. -19712.

12 3469. 9653. -1312e.

13 14815. -12274. -2541.

14 14345. -12039. -2306.

15 6802. 9787. -16589.

16 5648. 10364. -16012.

Q.~- )C

Page 70: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Appendix C.3

LOCAL SUPPORT STRESS OUTPUT

Page 71: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

-- S-.,PpO.T/VESSEL JUNCTION ..

rOPT. K TYPE .. iK8ETA - KOF ......... ---

:3 :3 0

KEYI KEY2 KEY3 KEY4 KEYS

sy ~ R4 T.. . TWC..-..df2

17530. 1S0. 22.5600 .8750 15.0000 15.8750 .. ~. ..

C.AwuA IecTAI BETA2 tETAl/8ETA2

25.78 .3324.- .3518 .- .9449 ...

~~ ---.- ---------..

Al A2 A3 A4. AS A6

1.5Sl-2 .040C2- 1.06291 .0671S5 .63 .11

2.94407T .0)1808 2.41481 .02949 1.02545 .03076

. . . . ............

Page 72: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

o4

S)ELL STPESSES DUE TO FORCES A0PLIEO TO A RECTANGULAR ATTACHMENT AND INTERNAL PRESSURE

THE TOTAL APPLIED LOADS ARE

-x FY rz MX MY Mz 38144. 7979. -1816. Id653. 70. -195490.

VESSEL PRIMARY STRESSES

LOcATION sx So SY TAx

1 2184. 5629. -75. -69.

2 2184. 5629. -75. -69.,. ----.---

3 -696. 884. -75* 69.

4 -696. 8d4. -75. 6 9.

5 1065. 3410. -75. -1373.

6 1065. 3410. -75. -1373.

7 423. 3103. -75. 1373. .....

8 423. 3103. -75. 1373.

THE RESULTING MEMBRANE PRINCIPAL STRESSES ARE

OCATION SI S2 S3

1 5630. 2182. -75.

2 5630. 2182. -75.

3 87. -699. -75.

O 887. -699. -5..

5 4043. 432. -75.

6 4043. 432. -7S --.

O 7 3682. -156. -75.

8 3682. -156. -75.

THE MEM RANE STRESS INTENSITIES ARE

LOCATION Sl2 S23 S31

1 3448. 2257. -5705.

2 3448. 2257. -5705.

Page 73: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

148 2257. -5705.

2 3.44a. 2257. -5705.

31587. -624.. -962.

4 15e7. -624. -962. 5 3611. - 507. -4118.

6 3611. 507. -411d.

7 38337. -81. -3757.

8 3837. -81. -375F.

..... ... .........

-----------------

----------------

-----------------

Page 74: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

SnELL STRESSES DUE TO FORCES APPLIED TO A RECTANGULAw ATTACHMENT AND INTERNAL PRESSURE

PRIMARY PLUS SECONDARY VESSEL STRESSES

LOCATION SX SO SY ToA

1 6809. .. 6824... . ..... ...- 69...

2 -2442. 4433. -150. -69.

3 -7583. -5391. .. . 69.

4 6191. 7159. -150. 69.

5 419. 2099. * -1373.

6 1710. 4721. .- 150. -1373.

7 __ -1194. -666. * 1373.

8 2039. 6872. -150. 1373.

THE RESULTING PRIMARY PLUS SECONDARY PkINCIPAL STRESSES ARE

LOCATION SI . S2 S3

1 6886. 6747.

2 __...4434. -2442. -150.

3 _-5389., -7586.

4 - 7164. 61d6. -150.

- 5-- ----- 2868. - -350. *

6 5253. 1178. -150.

7 468. -2328.

8 7235.. - 1676. -150.........

THE PRIMARY PLUS SECONDARY STRESS INTENSITIES ARE

_LOCATION. S12 S23 S31. . .

1 139. 6747. -6886.

2 6876. -2292. -4584.

3 . 2197. -586. 5389.

4 . 979. 6336. -7314.

5 3219. -350. -2668.

6 4075. 1328. -5403.

Page 75: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

1 27lo6. -23zA. -4611 .

8 . 8e6. -73i.

*. 1.5 Sf4 262!A. 3. 0 SM a oso .

SEIS-41C LUG/ VESSEL JUNCTION

KOPT .. KTYPE. KBETA . KOEF

3 3 0 0

KEYI KEY2 KEY) KLY4 KEYS

P,.S N ..4 T . TWOCI TvUC 17500. 150. 28.0000 1.0000 4.0000 13.000o

GA!U-A BETAI BETA2 dE7AI/tjETAZ -- 28.00 .0714 .2321 .3077

Sy...... z .........-- - - -.

-. 0000 -.0000 -.' 00O

Al A2 A3 A4, As A6 3.42188 ... 13118 .. 78337 .09439 3.11599- .04217

1 8 ~2 3 3 E4 R6. ...... .. . ... .....

4.b2331 .06432 1.10776 .04494 1.00449 .05379

*/~c -'

Page 76: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

SwELL STRESSES DUE TO FORCES APPLIED TO A RECTANGULAR ATTACMMENT ANU INTERNAL PRLSSURE

TmE TOTAL APPLIED LUADS ARE

F9 FY FL Mx __ MY MZ

41878. -7213. 26705. 362. -235.

VESSEL PRIMARY STRESSES

LOCATION SX SO SY TOX

1 -4835. -914. -75. -902.

2 -4835. -914. -75. -902.

3 -4840. -922. -75. 902.

4 -4843. -922. -75. 902.

5 -4644. -827. -75.

6 -4644. -827. -75.

7 -5031. -1009. -75.

8 -5031. -1009. -75.

THE RESULTING MEM8RANE PRINCIPAL STRESSES ARE

LOCATICN Sl S2 S3

1 -716. -5032. -76.

2 -716. -5032. -75.

3 -725. -5037. -75.

4 -725. -5037. -75.

5 -827. -4644. -75.

6 -827. -4644. -75.

7 -1009. -5031. -75.

8 -1009. -5031. -75.

THE MEMBRANE STRESS INTENSITIES ARE

LOCATIOJ S12 523 S31

4316. -4957. 641.

2 4316. -4957. 641.

3 4312. -1.962. 650.

Page 77: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

2 4316. -4957. 641.

3 4312. -4962. 650.

4 4312. -4962. 650.

5 3817. -4569. 75e.

6 3d17. -4569. 752.

7 4022. -4956. 934.

8 4022. -4956. , 934.

1.r v .

Page 78: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

SHELL STRESSES DUE TO FORCES APPLIED TO A RECTANGULAR ATTAC14MENT AND INTERNAL PRESSURE

PRI4ARY PLUS SECONUARY VESSEL STRESSES

LOCATION SX SO SY TOA

1 -20981. -33859. * -902.

2 11312. 32032.. -150. -902.

3 -21015. -33898. * 902.

4 11336. 32053. -150. 902.

5 -19361. -29679.

6 10C74. 2M026. -150....

-22636. -38078.. . . .

8 12574. 36060. -150.

T7E PESULT!N3 PR14ARY PLUS SECONDARY PRINCIPAL STRESSES ARE

LOCATICN- St S2 S3

1 -20919. -33922. .

2 32071. 11272. -150.

3 -20953. -33961.

4 32092. 11297. -150..

5 --- 19361. -29679...

6 28026. 10074. -150.

7 -22636. -38078.

8 .26060. 12574. .- 150.

-THE PRIMARY PLUS SECONDARY STRESS INTENSITIES ARE

..LOCATION . S12 .. S23 S31

1 13003.. -33922. . 20919.

2 20799. 11422. -32221.

3 13008. . -33961. 20953.

4 20/95. 11447. -32242.

5 10318. -29679. 19361.

6 - 1,952. 10224. -23176.

Page 79: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

3 13008. -33961. 20953.

4 2079S. 11447. -32242.

5 10318. -29679. 19361.

6 .-617952.. 10224. -28176.

7 . 15442. -38078. 22636.

9 23486. 12724. -36210.

1.5 SM = 26250. 3.0 SM S 52500.

Page 80: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

* - . .... .~ EA .Tri PJA(E 2 N.iOZLE. LUAL'S * ZEA9.EIGrIT EFC%;2

SEA M E L LmE N T L UA DS

.. . . NO LZ. L E .L U A 0J S k. E A k I H A U A I E N JO 1 0 L. AD, W ElI (P-H T - -...

I I JA .I0/7.0O: .1i40E-O'* .43S40E.04 .0 .0 .0 ... 1. 4. JU~. -. ~~ U .J ,L.' t).I .43!?b'vJf -04. . 123'.,OE.0o .-. 12300E.00 -.0...................

2 . jJA . .2v'(urFo.. . -*0 - . 29i?0E-04 - 2674,iE.05 .90300E.5l-, .9u3'JoE.05

- 3 3 .)A .2dJ4*i4 .. 042?-idE.0'. 3 .90300E-05 *qO2300E0Q5

4 jA ... )......-.29520E+1)4 .9t*F- .9C3'J0EU05 - .)3rJOE.05......... . ...

4 . J6 c5?[0 I,.:: '0.(- .) .13~' 14 0 3 0 u E C5 .9036-AE.05

.. '4 -,A I - . J 05I.0. C~-ECt. .36 -fb0L. 0'a .3903',E~ .CJ' 6, 7 1q I ; 1 -. 1.?P- t.0 I'e59~E-U5~ .I02dL.:, *i,. 31 tL.3Jb U .53 1 'eL. t) .0

'1 7 1 jA .2,O O .13167E-03 1 *Ift7E.0 .- t 4. .53I84E.0'a 03

. 1--,. b.-J3 2J-,2 13 ___.1?E .1S.757E , )4?h U6..Y,42HE' - .0,

d d~- a .JA .. .3 1 2-JE......6L0 -- 0'S.~. b,?~.J 64d.~ .

0 11 4j ~ 7~'-O .157,j5E-Oz OI,940 4)E) .0

10 . U'jA D... 0 - Of .0 --. ...... 5520E-0, .431 69E0 .210Li0 .. 1l~.6................

10 11 iJ ~ mi~eo.04 .0 .5530E04 *1qB(e4E-06 *210 .Ob0 .?10e9E.06

11 11 JA .jluI;E-5 I L7 ? 7 -w .16s1Ie.05o .7110/E-07 .8739,.E.06 .,263E+06

~~~~~~~,9I, t .... 5 9EA 5.....±7LO. .. 5 EIdET ~.6~95uE~. i263E.O .

S12.12 JA .5.e191E-05 .14,3L- .. ~~0 . 04. .12.6-ObUL06

-o616j*b............- - ...

12 14' id -. 5e'4If.C5 .i)14'j.OL*U .12e,4u>05 . 33624E-06 *26'ThoE.U . 126J3E*06

K) 13 1.1 JA .3nl44E.Cb .14d-IG.lJ ll2VO0E-OJ .t370E-0J -.205364.E06 .75970E.-04.

.14 .. SIISOL 0

i'4 1A J - C. -.ituI14I4.UD * I210CE+03 .75Q,'7E+04 .1ii*U 66d HE - .02

:3 j1 .7,, "jE)U4 -. I 4E + tl' .7o1uOE.04 I I9',i4qE.0 - - 5,O)

.... ... -jo0/ .4, "1 C .I32

.-.-

Page 81: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

_____________ - ----. ~E-A.--E-L E M4 E N T..- L-0 A D) S -...

N 0L Z LE L LUA 0S E A R T H tU A E NO 0 1 OE A 0W E I G HT

.~L~4 ~~3E...-.-.-. AI~i -. SHEAR. ---------- -- --- ENDING_-- S. END ING~ TORSI ON_ .. _ _

V2 Vi 1-12 M43 '

*16 16 JA . . 7/elfjE.C4 . J14!9.i -S..__._14J0E+04 . 45994E*O5 *'5620E*06 .SOOOOE.02 - . . . . .

16 17 Jti -. 7fH10CO'. -. 31'.S9E.Oi .143OOE.04 .13BOIE.05 -.148336E.06 S~OUOE-02

11 1- JA .7feloE.G4 .31459E.Oi .14300E.04 .1J3l01E.0i .148J4E-06 .500uOE.02

Id 1,0 JA . .31459E.0:. -.*1721O0EO __..14J00E-04_ .7190i3E.04 ..- 1644SE *06 . *74.70UE+03...... ..

1I j , ji J*.~.. -. 11IOE-04 .14300E-04 .5000L#E.(2 *l5989E.Ob *747C,'E.03

1) PO j .s10olot!.04 .440DE-03 .21920E.04 -. 15020E.Ulo .950)30F-04 I'l ~ . -__21O 0......7cuEu~ 160d9E6.__.___..950.UE.-04......

-0__ 2,) 22 .JA- til.e* E-G4 .'09;L-.os._.44lG0E*0J..S2SIOE.04. ....... 0 ........... 0-.20 21 JL3 -. 51u_-UE-0. -Jo(,94E.*i .44100E403 .95I0JuE-04 *16089L.0b .700U0E.02

21 2e jA .510 3DE.0 -.30C99E.0i .'4100E.03 .52570E+04 .13b'.6E.Ob .7fl0()Eo0

---.... ~~~~~~~~~ 2E. .''J %lO.4..*b#4.J . 110~' .56414.E-05 .10112E?#07 . 7PO00OE+02 . . . .

22 21 J-3 -uj 1) 4 -.- 3.,764L-*U5 .ll3IbOE.04 .15554E-05 -. 1835bE-Ob .700E0.02

- ~ 23 23 JA .5AiIOOE.04 *J6784L-Oi .I1ilbOE.04 .lSs'.E.Osi .18356E.Ob .70000E*02 * -- 23 - 2S. 10 .-.UiE -j U4,-.---U .L 181 bjo E .. __.I69cj0E-U,4_ .1658m -u6----....7 0 0 UE 02._________ ___

24. .6 JA . .Jb/d4.E-05 .20700L-U.-. Id.E.'. 911vUE-U'. ..- 19 13 9E -0 6 .169dQE.04 ... __

24 24 JH -. 4'.)7:i4E.0S -io0l30tE.O. .18160E-04 .70000E.0d *16511tE.O6 .169d0E.04

7 5 3ts JA n>c.O / . -05 e27oE.-o4 .50840E+04. .12011E+06 .6376dE.0ti .231U15E-05 2S....-5 ~ i. ~270E.O._.50d3')0E*O... 2269uE.6.. .12896E.6. .23105E.0 _________

3 -26- -26 JA.. .J'_E06 .47 1 tOE.04 .22690E+06 . ... .12P596E.0b . 23106E-05.............. . ~ .. _

26 21 jil *J3.b7_-Gt e~4 ibE-04 .4/I180E04 *421n'.E.Ob .15u1jE.06 .?3l0oE.OS ~ 0 27 2?JA -. 16±SE-.) b44L0 .92060E-04 4;.16'EO, *5~J.o .3OE0

27.3j.~...1j...'Q .' 4 .14E0 .15331.E:06 ...2310.oE.0..___________

23 2 '. JA .. 5.s)ee0Eo. U4 S23EQ .0 ..0 *293'.9E1.O .21O?9E.0.. 21 !,J' .55420f-.04 .s6230L.0. .0 .0 .2109E.Ob .21029E+0(3

oA s,)ee. uE-c4. .:,5ei0L.U'. .0 .0 .2349E*Uot .210'.E-06 C i...0E0.. -,- - .011O.... ?0eVE-06 - ______________

Q 3-) .3U JA . .12,.J.~ L ). _..10940E.0'. *2b859F.U5 . 43000E+02~ .I 9'1OE -03 - -. .0 10 31 j 3 ..iE0 .0 .16q4'0E+0. *SS9boE.04 .43000E1.02 .19700E.03

Page 82: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

H iE AM E L E .E -T L UA D

N 0 Z Z9 AkTH UAKE 0 0 W EC I *i H 7

t;'AM NODE .. AAIAL . . mEAR - SHiEAR_ .. BENDING BENDING. r ORSLtJN.

J .) V3 M2 M3-- - - - - - - -MT _ _ _ _ _ _

31 31 JA . .eM3E.O -. 05 - .Iv'.CE.04 .559oOE*04 . .'300UE.O2 .1 97UOE-03 .~-. .-.--...

31*2j3 l 33F iIO0~E.04 140E0 *43000E.O2 .1%ITOUE.03

C 2 3o JA .1I.0 . I3320E-04. .3451JE-05 .12Ii00E.U3 .670OUE-02

33 .~ _33 JA-.. . .11,.12E.05 .3 .130EO . .4671OU.0.. . 12siooL.oi ..67000E-02 .. ~ *33 3'. JN .9 . 13JOE.0. .80960E+04 .12d~uL.0S .67t0uuE>02

- 34 3(; JA -1 .,.i E.-CD *.bJtiE.04 *.tOSOE-o'. .1 l2tsE.0b .IldeH b .0 __4 25 .jl .. :. .3 0->;, OF#04L0...'6~Q.'. .4793'.E.U5.. 3 4E*0.. - .0________________

O .. 35 3:i JA . -. 4eOI7E.3. . 17040E-U4 . 17tu'.GE.0. _-.'79j'.E.0 .47934E-05 .0-. 35 36 -, 4 .4'./IOE'p. .1'104;t-04 .17040E.04 .0 .0 .0

o ,6 37 *A .b I'1E-i. vli460E-U4. .1249oE.05 *J36,?4E-06 ,26980E*00 .12b33E+06 ...25~1 6.1 L- 0 1 ebL .i' 0 : - 0ti .I IQ-.eEt06 -. 1 *119.:06.. 1 e633E~o _______ 06.,_

27 16 JA. -.5O~o . .5*06iiOE.0'. .17701E-06 .95367E.(05 .2310-5E-05 3? 36 Jrd .55131E.05 .2t 270E.0. *Sf0d9UE.04t .iIIE+OLti *6376dE*05 .?3106E-05

o 3~JI A *J16j~.j, .42~iE~s * 2-04 .810iJ9E.0t .12449E-05 .482O03

.34 3,o ,1AA ..Jj 1tbcE .05 .0.ULu .......30uE.0 .90-0.4 *17dOE*-0J..8OE 3______ ___

.3 10~ JA .331,54E-05 .') .32tuOE.0 .23005E.03 .I7BOOE-0i .362uU.OE3

'. 0 11- JA E i: *.9200F.-03 *7030OL0E.o .21]U,.E.O6 *I3li6Eo0 *hl5UOE-03 ---.

4---- 41 _J~ -..-..J43E.Gj~ .-_'.920CL-U3J J0*4 £StU.J .23S0UL*0J.. ____________________

j . 1 . 41 JA .3t~i47EU.... .. U . ..OOEo. .25526E-0t) . .23SOOE.OJ .27,tu03 . . .. 4 '1 42 _:3 .Jbd4.7E+O0i .0 .10300E+04 .139263E-05 .23StIOE.OS .274UOE.03

Page 83: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

EARTrt)UAKE 2 * NOZLLE LOADS . -DEAO4EIGHT EFCu-2

d1AM ELEM.E.1 T ST E ESSES ... .*. .4 * * ** .. +.** * *

-NOZ . LE .LJ0A 0S-*EART I . UAK E NO .. * * 0 EA 04 EI.4HI T- ..- -- - *

e N:ODE AAIAL WE A SHE A HENDING MENDING TORSION ... VZ/A V3/A-- Md*C/12. M3*C/I3 T*C/J

1 I JA .6Ue97 *Oe .'4365E*02 .24365E*02 .0 .0 .0 1 .:- -. 6uc7. .24265-L*. 2 36E*0 .62134C+02 - .62134E*02 .0 . .

2 3 JA .21904 . . .22919E*0s .6862tSE*0J .23170E.04 .115SE*04

2 e - iiGE*cJ .i .22919E03 .0 .23170E*04 .11585E*04

3 3 J A .5ovoE*01 .U .59940E*01 .668bE-01 .22575E*00 .2257E.00 . J 3 1 - ... 59 ' 0 1 ....... .. 59040E*0L . 2416E*U0. .2_2_5_7E*00 0. 2_25i:*00-.

- -4 4 JA .5 00 . . -- - .5i0'o+F.-01 .24109E*00 .22575E-00 .2.2575E*00.

4 5 J .t904JE*-1 .0 .S9040t*01. .6bdE-u1 .2257E'00 .225,000

- 5 J .2391 0 . 19E.F-03i .b5>E*J3 .23170E*04 .I11S.04

- 5~. .4 b.JA .2...3 . 219*3 . .... 3 b --3.2S37E*03 .1155 . *0.... . .. . .

6 .4 .,,A .0e0f 7 0d .!7403E* .5740:3E*02! . 1533603 153E*03 .0 6 7 Jd -.t047E*Ud .57403E.ud .57403E+U2 .26866E*03 .26856E*03 .0

7 7 JA .3U/G3C+03 .19695.-0J .19695E*o0 .69150E0U3 .69150E.03 .0 7 .- .J ~ .3Jfs>E*J..... 95L*.0J..196E01 ~3.6UE*01.... .8637UE*03 .0 -- ___________

-! JA- .24097E*3. .- 14503E* .14503E03. .446,54E.U3 . .44624E*0J .0 ........

11 J -. ,ue .*0E*0J .14S.03E.0J .594Il103 .59.tIE.03 .0

10 J. .22ol7G1 J .0 .22632E+0i .47205E*03 .2298SE*u4 *11492E*04 -J . J * .2 * .0 75 - .22985E*04 .11992E+04

10 -.10 JA .111'E+0C .. . . 110.bE+02 .1079tE*00 .52573E*00 . .52573E*00 19 11 Jb .11) 4.4* .2 u .11046E*02 .49711E*00 .52571E*00 .52573E*00

11 11 JA .evj7F*OJ .11754E*GJ .1199E*03 .7839,E*03 .57lI1E*03 .42434E*02 11 <-.. -. 2997E*0a.. 1175'E*u3 . .15199E.OJ. .628e*03, . .46694E*0

3 .424j4E*02.

12 12 JA . .7-065E*0J .1364E.Q3 .16441E*OJ .12165E*O' . .90:77E*O .H2132E*02

12 37 Jd -. 7401.5E*0j .I3O4EUJ .18441E*03 .4371-IC.03 .35079E*0J .A21J2E*02

13 13 JA .7odb E*02 .13I76E+.u .256j0E.00 .I592tE-02 -. 51411E*OU ,18992E-01 13 14 j.J- -7.7oeobEu2 -. I1,376L*.02 .25tOOE*OU .. 12500E-0J. .41720E*00 .1992E-01

1 15 JA .2?,21EU3 .11124L.04 .37329E*01 . .. 2?i:JE*O2 . .120e1L*D'* . .5976i3E*01 ......

14 14 Jo .221*3 -. 11124E*04 .3732e9E*01 .24?22E*02 .10262E+04 .S97odE?01

15 1i JA IJb, l02 -.d- U t .25000O00 .17S2E-h 1 .4'31iE*00 .12500E-03 15.. . 16 J~.J .,.1537tF.0/. . .1628E .25)00E.0u . .140D0E-ul . -. 25343E+I01 .125UOE-03 .. -

Page 84: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

N U ZZL E L IA 3 S E AR T H1U A KE N 0. 1) L A DW E I H T

:AM lOE AAIAL 'aI1EA R SH1EAR . END !.., BENO I e~ TOR 5 UON * 0V21A V3/. "2*C/I2 .43

41C/13 T41C/J I

*16 15 .jA. .... -13442E.04 .1 918L.04 .2bSUoE.oi .11')E.00 .*21405E*01 .12500E-03 16 17 ji3 -. 15442E-02 -.6291ae.u2 L'8600E-01 .34502E-01 -. 37095E+00 .12590OE-03

11 17 JA *24-aIF-ji .']744E.03 *.Il03E*Oe .44008F--02 .9124.,3E-03 .9976dsE.01 1?. Id .Jt4. .2:-1 E-03 . -.c.174-.oJ . ..7.E.2... .3e.UE-1 ... 9532LIE.03 . .-. 97----- ________

1~ 1- .5 -.1.6. -. 1~'44.&Lvu .2?.*u0E.01 .125G0L-03 .39973E-00 .1661? -02 2' "' ?C' JA . 1J2Lu *94'.OE.Ou s~480GE-02 -.37i50it#00 .237 i7E-o

...1i.-...? 1 .3~_ .(iE0 -.102o'.L+Ue- 8' .0 E. 0 .1 75)uEC-0J . . 4022JE#00.--..237t 1L-01 _ _______

20 .22 JA....j7 , .. 3 1 aE ,- 13o35E*oe -1676-,E+0 .831'14E.03 .86E0 20 21 1 4.'j 7.. - i 1.3 + uj .1J0J6E.0e *Jo3U3E.02 .9.,3,3iL.03 *'3367'jE.01

2! 22 JA .!G0'.4E-0 -.OvA.j .89400E-UO .1314dE-01 *34 11:IE UO .17500E-03

22 15 JA ... j114UE-re - 3bEu ..3b3t20E.01 . .*1..lJE.*oo .252830E+01 . .17-OiIE-03 2e 24 JB -. III'JE.(,e -.I4'3b3L+Je .JbjeOE-01 Jt4' pE-01 -.45491E-00 .175OOtE-03

23 24 JA *141tUE.03 .l0?a7L-34 .:i960E.Oe .4,9H-o .1i.'bdE.o' .)7-'E-01

. 24 24 l. JR. .73t~b,!E.U -. Ij1'i0r.ue .3bluE.01 .175COE9?-ui . .4147OL-EUU .42'.50!>02...........~

J 25 3D JA -.?7c,' 1E-03 *-04'.3E-e *72M) 4E -02 .15A17E.03 H~291E.0e .15022E.02 - 2 ?J?- 7..? o 7E. u -- 04e4.-.. 7..29Sv.e-.-04..161bd-t+oJ .150OeE-02 -______

- .. 25 26 JA. .. ~U0. . .J5136E+U, . b7496E-U,! . 295U.dE.03 .. 1-56,LJE .150e2E.02........... 2'3 21? c J-: I4dJED .13oF~ue .b?'. CE.Oe .5'#e21E.U3 .20300t.0J .150e."'.02

27 21 JA -.16?u2E.013 o .tit.. 2E.oi 64'ZEo .2M324C.03 .lO1+b8E.04 .77609E+01 .27 -30-j ! ..IJ4692uJ.,.4..369t3j-L.4. .17u1l9E..UI.. .77o091E+.01 __

-..2d -2-Y JA- .- 22)iLmEuj .42d?L33 .0 . .0 276.. ..1'9E0 2i 2dId .27~~o ~*~.0 .229btiE0 .114-jE.04

2v 2,-, 1. .14 5 E -jU .0 .0 .63372E+00 .52573 >oo -2) 3D ...i9 O- - I. .101,5E.0 ..0.........u I10o?29E - 01.*525/iE'co-...____

3) 3u JA e41), oe vu alet0E.0i .72147C-61 .10 1Oi-03 *492iuE-03 10 31 jts J , .21jdoE~oI .1399vF-01 io?50E-u~j 42uE0

Page 85: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

A- ML~ E L EM LN T S r RESE S

a 4)EA 4E * 4)4 4 ) 1.144) *EI 4)4)ORS4)

- 0).A *..A AVdAA .?*C IHA ~ fi ME*U1Nu T0N',1i

31 '1 JA I *I.E*O04 12 ltb *iI J~o .,)7 i~jE-0 .30'i69E + j .,375JOE02 31 3 2 Jd .XJ~j el lel~oE-OJ .I Of tE-Ue *30oS-)6,E -3 .i-P5j 3E -0 2

32. . 3.3 jt .2'.-3- .2bo,4[lE*01... 1 it) fii-ol .320OUoE-03 ..16I60E-C3 .

33 .33 34 1I eF> )E.04 .0J .14HOUE.O0J .8109'.E.Ul .9049tic.03 .27o E 33 3'. J-31c:3i, u4.4 O E O 4U- -0e 9u v' ~ 3'. 30 JA -.~/.J .'-E4oE.Oe .42e,4UQ.Oe .75741E.02 .757'ilE.02 .0 .34 .3 j' 11oe IE OJ .,;,h43C 00 -46 OE - .4 .3,'o It .O2 .(0.............-..-______

3'i 3 3? JA -. s.F. e437JE'~u2 .2437E-oe .6?32'.E.O2 .6~2324E.02 .0 S 35 :3) ij -, n.37 s - .?4J16E.02 .0 .0

3t 37 .JA .30',1OE-C-i o"ISH20 *'j1p1E.a2 .216(01E.UJ *1733?F.I)J *40574E-02 35- -1 JJ- 61 H- J -6b 2L- 4 .911bOE.04 .~1.611 L02.. .7!-49c'-32 .4051')E-02 . . .

21 7 1b JA .30 -37O *1 93it*je *3b90E.IOe . 113 11 E.o. .6126tE-Ue .742IIE.o1 37 3a j-10jv.O . 19993L.0 .ofO .77164'Eo02 .409)66E.0. .7',21e6E.0i

31 3s JA . .3t---E.' . .04 V 30 11 .blE J . 1S~rh,-Ev2 I etS4L -o .160O44E-o3

41 ' 41 JA, '4. ... fIlllE+OJ. .4'.31LL.2 .16706E-04. t.lt(4E-03 41 42 iti J' 4 E4. . .78111IE.0- .241r!Eui! j1f?0tq:+u4 .121?4'.E.03

.. .. ....

Page 86: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

EAPT-,21AKL e s uOULE LUAt)S *DLAU4ElGT EFCU-e

cLM~ TJTAL bJ*RESS M.'U 'AA1N4Ji4 INTFENSIIY

- . - .4,. #ZZLE LU-[)S + uEAUv-1rll EAk.TIUUA'\t IYU 1 1

bLA'4 % 10E k4L 69 4 E S UR E P :iS ' T 0fA L TOTAL TOTAL 'AA X IMU M *AAI;.L . rjUP . r<A']1AL IA I AL sH-EAk AX IAL . INTENS ITY

I I .541SIDE-04 I*I 430. )' -.3,130r'E-i33 *,'UI !:3E-04 *J47E02 *514 47E.04 .1215iE.O5 1 4 .. ..,.E0. .11 ,30E-ut> -.J,OO30E.Ui .0J2EU4 .34L.h1E.Q2 *.1t7E.0. .121bn'E.O...:

2.. 3-----.~Ii.' ..I .YLS -.JeiJoE.'J l.7611L-04 .A617E*04 . 34707E-04 .. 34E0 . .___

2 2 6 1 :iE -U4. .12?232C.Us -.:ldSo'E.03 .I16(',e1L*U' .13871E+U4 .3tib-i'E.04 .1J0z33E*O5

3.3U .0 .0 .59U0'iE.UI .6129/lE-01 -. 5'4040E-01 .13Afn7E-02 3 U.0 0 . .5'9U'.E+Ul..61291L*01 - .P4Q04 0E -0 1 .136~07E-02 .

4_. 5904G 0 I .19EU . -.5144E-0 1 . 1361)7E-02___ 4 .j J U *S9U40UI0 619Lu -.590.0E.01 . 13f07E'02

,i 5 t. I 1,,9E -04 .12,d3tE.js -. jzbooE.LJJ AftIIE-04. .138s7/t+04 .341U7E.04 .13043E*05

- 5 6- - -.- a.. j."iJ4 . 1~ J * S -. .5) SE+u3 eo. 2 -u .1381/E-u4 . .3617E-04 . .13C33E-05 --

6 . -- .. E-U' 1.4 30E -45 .- 32i GE -0 3. .611I3E 4. 8 118 10 E . 56 337E -04, 1_ 21hE0....__ 6 7, .b-11,iUij'. .118).,-E-J -.J,?t00E.03 .63 h43E.U *.SldIE-02 .547,7E +04 .12 1 ,thE 05

7 7 . IIJ5r'14 . -,5L -150E0 .46S22E*04.:278S3L:03 .20263E#04 .671177E+04

...... . Jj,u'E . 4 45,)E -U4. -.75003E.i02. .4.2445E #0. *oIf.03, .240U5E04.--673'.E.04-__________

8 11 JJ2 2',E-04. r545OLti4 -. 71306GE-U2 .44to35t. 04 .?05111.03 .21915E.04 .67J9'jE.04

11 .1111iE.U' ie3?SUF,-04 -. I,1000r.U2 *31JS3E.U. *I17*UE.04 -. 14!03F..04 .46513E.04 .. 4 -. 1itrc . . 3oF.04 -.?SUooE*Qe .3*b.l3.0'. ..137c)UE.04 -.Iioj23E.0 .461 65E - . -.......

10 -. 10 .-..- . ........ 0 -.. .11 .44E*0d .1157,,E-02 -. 11044E-02 .2 5 6 44 E # 0_2.. lii 11 .0 .. .0 *12044E.02 .1151

2L+~02 -. 12U-14E.02 .2b040E.02

11 11.ie2~Eu4 .u"5~.)' .-.)o0oE0. .4S9d5 .o4 .234tIE.J3 .20t 25E-04 .67465E-04 11 . 12...........-o .66450jt-.i4.-(buoE -02 .43965t:4 + U4 .2j467L.03 .224d5E.0. .67442E.' - -

..1? .12 --. J7E-UA .6 */S5jtu4 - .h.iUD0OE+0 - .5*S%092E.0. .3Cd?4E,.03 .107AE04 .... btd321E-o. -- ___ ___

12 if .3j31-3E-U4 b~6tLF.J4 -. lS~oUE-02 .442E.U4 .3tob2'.E-u3 i.03UaE-04 *679SIE-04

13 13 .j . .0 .769e8t iJ2 1:i39/E-02 - 76,..29E.02 .422,39E-02 13 .. 14 .0 ..0 .0 .762dFSE.I2 .1339?1E02 - lo2i E - 2 .82269E-02.............

14. 1.- . J. .. .0 . .0 .14',-2E+04 . 11 014C 0 04 -. 1442f-.04 ... b4E0

15 15 .j . .0 .IS 3 ffE o d .1 t.-1'E -2 - 1 5316E -2 1533SE 03. . . . .

1: It 0. 1.........0 . 0 . 1J6.~ .762 39E02 -. 17376E-02 .15356'E+03..........

Page 87: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Al-tK e~ *'uiLLE LUAUS~ OE0AUW.06Hi~T Eftcu-2?

totA ! rJTAL ST.4t.SSES AN,) .AA!MU.4 5 ~SS INTENSI r

NUZZLE LUADMS 4ULAftIAElGrT*Y EAUV1..JUAfA 1,4U

ot A A NO2LE OrS S1frt PR.E S~~vULOE To fAL TuTAL TOTAL M4AXIM UM

AA -. ~o -. RnP......AOIAL AAIAL SH-EAR AXIAL .INTFNSITY

l b..*j .0 .0 *I7's.2E.Oe .624,013.2 -. 1144'2E.02 .12717E-03

1lb 17....... U U .t .42E+Ue . *?9bJE #0 2 -.J'i'42E+02 *12691E-03..............

---. 17 7--~. . .O -0 .- -. 0 . . .. IliZEIJ' *92436E*03 .11(31ii2E+04 .~..2193'dE 04.

1T Id V. . .0 *I~lIeE-U4 .9P4.15E.03 -. l.e!02E.O4 .2?0lJ'tE.0'

Id '.4 .0 .0 U.0'v . E1*E0eZ .157uoc:.02 -. 62413E-02 .7032'.E.0Z

.:3 16 .0 0-~ .15706L+02 -. 62918E+02 .70324E32.......-.----.

-9..20. ~---.UJ -.. 0..........0. ... .. 60 198iE'.!. Il0.t7E-V2.-.01*iE.02.. .63o')'.E*02..-__

lv 21 V ~ .0 .U tovdt*Ue I.!)e5,1 - .I' ) U18f:.Eo-0 *b.604.E-0?

29 22. .0 .C .100301--U4 . 38'2'.L.03 I. lU OE.04 .20370E-04

23. el........... ...... .0 1..1) IdE: -U .936i2'*L,03 I-I l IE. 04 - .212?f)E#04

0 --------0........ ..., .~...-. .. u.106E e...602 USE -02 --. 10204E-02 ---- .. 12064E.03

j2i 16 .0 .0 . ]iI2v.E-ud ..b620b1.-U2 -. 1l2e04.E-02 .12103E#03

22 IS .0 .0 .0 *l2i'0E*02 .73b-idE.02 -. i1l'.OE.02 .l'.7,IE*03

2 2 le3 U- -..-. u......U- . .~ .1014(0... .7*3oiciE-02 *-.10140t.02. .1476t)E.03-.

-.-. i 2... ., .0.. - .------...... 0.- --.. ..3e9LU04. .08e~4fU4 -.1.32 9E0 .

23 G' .u. 0 .112'Edk$, .10d2'E04 -. Il'29E-04 .24621E#04

24. 2s .3. .0 .13thOHE*) 1l07 fiE-tJ2 -. 73Si,6E.-0e .761)5E-02

24. -2.. ... U . .0 . . .73,boE-02 .1077tjE.u2 -. 13J,'.e.2 . .7h659E-02-------

___ -- .i3Eo.. tf)75E:,U4 . .-.7ioooE.02 .3014 .9.'30E.02 t! .23 .)46E

25 L . .3J375E.0. .b6-SUE-U -.7SOOOE+U2 4'4 1J 4E0. .9-005E-02 .22?016E#04. .67544-E-04

2) 2 ..i3375c .04 o7l5QC*J4 -.7-.000E.02 .4 .13 IE - U4 .91116E-02 e~l')9E*04 .67t533E.04

S25 .- J..... 337SE+G4' .bb?5UE0* . -. TS0'0E.O2. .'a~EU ~ 1b>2 .?27-E.04.. .6753biE.04-------

S.0a'.50E.,4 .-. ?5000EtO2 .3?-.ISE.0. I I .1d4E.03 . 2d-i35E.04.... .6721-5F-04.--.. -

27 'i *-3~k~ V. 7,03F-cioVi.i- 4 . ,14 -''L03 2* .dE.0. .6724.7E-04

12,3~ .1.3LU' I, i0*~' N.~oouF*02 .41l)93E+04 .l31160L+04 -. 1NJ'.)E.04 .49473E.04

2, L'3. . .. .11621,E.V e- .32it: - .-. l:)o0EL.'j 36.3t -ku' 13:760L -u4 -. 13023E-04. .46l1b5E *04.

~~~~I44 .U.......0........O........ .1 151leE2 .-. 110J-#4F.02 - 26,02 ..

,~30 .U.0 .0 lU44.Ue .I fe -. -1 20-44E o2 .2b1)O~.02

*J3 ~ 9. j .24.,6,E - ? .I -5iIE - U -~2t)bE + 2 .24656E.02

33 ii .U.. .0 .2 tet~E -u e .2 t1 80 UI j4etbE. 02 .2L.5AE-02

Page 88: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

EA:4Tr12,UtkFt L NOZZVLE LOAIfl I)Eit.LItGH! Ercu-2

fLEME~jT TrAL b.TKE~SSS ANLJ AAIM9UM Slktt I', 1NT714ITY

-4OLZLE LiJ-DS + OLA04.EI~imr E Ai'TTr1JUAc NU) I

V-!Lno~t' . A ItAAL A A.i, I-Lr AXI4 INTENS ITY

31 ... 32. -.. 0 .U U .. .!604!Lc'04 *e VUIL.03 -. 16641E-04 .171SdE-04

. 30- v__ .u .0.*32EU 26b42E*U1 -.2?dr?4F.02 .. 2343'iE-02 .

32 33 .i.0 .0 .2LeLo .664eE*01 -. 22d24E.02 .248-L

33 :3 1.'. .0 .2jdL5;_-0' * 17717F.3 -. 2.±IoE.04 .?211.7E-04 23 34. u U .39CEU I.. .. .. .. * o .I0~4 .l'?03 -. 210'0. *222'ThE.O4

3" *3J?2..F ,-J4 .664

.1;ri'0. -. P300*o0 .35'.)7f.0'. .601o.2E-02 .30+ ,3E.04 .67?LE.04 __

34, 35 .J ):J4 .645.'O.U4 -. 7b0 0E-0,e 346 It -O32EL#3~3E .67211E-0.as .ii~h~j. .~.o~o -.~ooE~o *4~~t)4 *.fUe 2 .31bl'w2E04

.35 . 5 .. 33 J7-.Ej' .) wl'~5l-04 -.75oDOE-u .JZ05aL 04. .34.'. (:LU2 J . dv12E-04 .6.7514.E-04 .

___ -7 .3 -.ISwj0')F-tie .23-he,,E.04 * I'i2JbE.0U3 -.. 1k0,4E04 1. .;'

37 1 10 -ii- + U4 * 3350t3ku4 . -. IioooE.oe .216LS4 -0 .'2 U? jP)4 6nE+04 .3' 520E.04

~~~~~t .0e ............ j5olIJLIol -.66J20F*02 .676nis.02_ __

.0 3 .0 u b6J?6ta.0e .trihI JE -0I -. 1 J.~ .676()'E-02

31 . .0 - .409 .0. -i~ 0'. 52 .'i?1 +,u 3 ~.~~ 04 .50979F-04.

I__ L.~ ~ ..............-. 0 . - .- -.. 73uotb.*ue 14 0 *O9 0 +U2.. 7 Jt6 E + 02. .788~95E-02 42) '1 . U .0 .0 .7 ltc1.6E-02 .14.0,16E02 -.7.Thd6E-02 .76Nq9.E-u2

41 41 .3.0 .0 .5!i0dIE*u0. .90245L*03 -.b'30jdIE+O4 .60.,k?JE.04 4 4 2 . .0 .. .0 .5106IE*0'. .9t1edDE+3 -. ,'1,161E.04 .60632E*04

Page 89: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Appendix C

SANSAR OUTPUT

This section contaiins the following:

C.1 SANSAR Abstract

C.2 Local'Nozzle Stress Output

C.3 Local Support Stress Output

o

Page 90: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Appendix C.1

SANSAR ABSTRACT

Page 91: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

SANSAR ABSTRACT

SANSAR is a multi-purpose computer program, written in Fortran IV,

and used in the evaluation of seismic and nozzle load stresses.

The program has been developed for various horizontal and vertical

heat exchanger designs but can be applied to tanks as well.

SANSAR is divided into two segments, NOZZLE and SIZMIK.

NOZZLE performs nozzle to shell stress analysis based upon the

combined effects of external mechanical pipe loads, (beam stresses

in the nozzle and Bijlaard stresses in the shell), Johns and

Orange pressure discontinuities influence, and pressure membrane

effects.

SIZMIK performs static equivalent seismic analysis of vessel

supports using "rigid" vessel and flexible support models. SIZMIK

accounts for both seismic and external mechanical pipe load effects

on the supports as well as considering internal pressure influence.

In determining vessel stresses in SIZ4IK, the methods of Welding

Research Council Bulletin #107 are used.

For both NOZZLE and SIZMIK both principal stresses and stress

intensities are calculated, thus stress comparisons can be made

for Class 1, 2, 3 or MC nuclear equipment.

C.1-1

Page 92: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

NozzIC Optionls

This segment of "SANSAR" is so written as to allow for the calcu

lation of allowable forces and moments as well as the evaluation

of stresses due to specified loadings. Due to the infinite

possible loading combinations, the allowable forces and moments

are found on an individual nozzle basis without regard to support

geometries. The possible options available to the user are:

Optibn #1

The calculation of maximum allowable nozzle forces and moments,

applied individually. (Since nozzle reactions do not occur as

individual loads in one direction but simultaneously with loads

in all directions, the results of Option #1 should be used for

information only.)

Option #2

The calculation of maximum resultant forces and moments, arbi

trarily oriented and applied together. (These results are

presented as resultant force over resultant moment ratios and.

are based on the worst possible force/moment orientation.) The

results of Option #2 should.be used for information only.

Option #3

The calculation of stress intensities for specific load cases.

(These specified loads are saved and reacted to the -support

locations to be included in the seismic evaluation.)

C.1-2

Page 93: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

The offects of pressure are taken into account in all three options.

The effects of shear stress are taken into account in Options #1

.JO and #3 but are neglected in Option #2.

For Options #1 and #2, the size of the allowable loads is based

on stresses calculated at eight (8) locations in the vessel and

eight (8) locations in the nozzle at the nozzle-to-vessel junction.

The stress intensity limit is 1.5 S in all calculations.

SANSAR Stress Output is presented in two subgroups: "Primary

Stresses" and "Total Stresses

"primary Stresses" are primary local stress results whereas "Total

Stresses" are primary plus secondary stress results.

For NOZZLE only analysis, a total of sixteen (16) positions are

reviewed for stress state; eight (8) in the vessel and eight (8)

in the nozzle.

Positions 1 to 8 are located in the vessel and are identified

using Welding Research Council Bulletin No. 107 nomenclature.

rPoitions 1 to 8 are identified as Aupper, Bupper, Cupper, Dupperi

B C rDo respectively. Alowerl lower, Clower' Dlower.

p,;itions 9 to 16 are located in the nozzle and although not

jn'cessarily aligned to the four vessel positions A, B, C, D, the

n.1e locations represent locations at the inside and cutside of

C.1-3

Page 94: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

the nozzle -- i.e., a plane passing through the nozzle centerline

and cutting through the nozzle thickness would contain position 9

on the inside and position 11 on the outside. The remaining

related positions are 10 and 12, 13 and 15, 14 and 16. Since the

positions at which the resultant stresses due to shear and bending

moments do not necessarily coincide, eight (3) positions around

the.nozzle (four (4) inside and four (4) outside) must be examined.

For both the shell and the nozzle, "Total Stresses" are calculated

first and then to establish primary stresses, common plane stresses

are averaged across the thickness; i.e.,

Aupper lower 2

or 2 where stresses are added on a component basis. or 2

For SIZMIK, eight (8) stress positions are reported for each support

and "load case"*. These eight (8) stress positions are identical

in definition to the first eight stress positions for NOZZLE.

."Primary" and "Total" stresses are similarly identified.

*The "load cases" considered in SIZMIK are"

1) Pressure loading

2) Nozzle loading

3) Deadweight loading (special case nozzle loading)

4) Static equivalent seismic "G" loads

C.1-4

Page 95: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

SIZMIK has the capability of commbining the above specified load

cases as follows:

1) Absolute sunumation of load cases 1, 2, 3, 4

2) Absolute summation of load cases 1, 2, and 3 plus SRSS of load case 4

3) Algebraic summation of load cases 1, 2, 3, 4

4) Algebraic summaticn of load cases 1, 2, and 3 plus SRSS or absolute summation of load case.4

Pressure stress effects for rectangular or square support attach

ments are based on "thin shell" pressure membrane stress theory.

C.1-5

Page 96: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

References

Technical Report R-103 titled "Theoretical Elastic Stress

Distributions Arising From Discontinuities and Edge Loads

In Several Shell-Type Structures", by Robert H. Johns and

Thomas W. Orange, Lewis Research Center, Cleveland, Ohio.

Welding Research Council Bulletin No. 107 titled "Local Stresses

In Spherical and Cylindrical Shells Due to External Loadings".

C.1-6

Page 97: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Appendix C.2

LOCAL NOZZLE STRESS OUTPUT

Page 98: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

NO/ILES NJ *N2 LOAD CASE I

:;a A T P i(ETA KOEF

KEy! KEYZ KEY3 KY4 EY -- - --.--.---

Sm4l SU2 p TN TV RN IPMV___ ______ ___-- ______

_ -i 500 -- 16200;:-- 650.---- -1430---11250-7-.-180--3.900-

GAMM'A- BETA -- . . - - . . - - - - - - - - - - . . . -. .

Al A2 A3 A4 -AS......A6- . . . . . . ..... . .

1.11050 .087 .24391 .96 .038 .04378 . .. ..... . ..... ....

91 - 9 2 H3 84 95 i lo8t 07325 -- .45475 ----. 05639----285---09-~-~

--- ------

Page 99: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

ORIION Tmz'cE Or PROGR~AM NIOZZLE

* F O- TH4E FORCES(POU'iOSI AND 043MENTS(P0UND-!r4CHES)

Q-2952. 2952. * 90300. 90300.

PRi Pb1 4AR Y STRESSES IN THE VESSEL- AND OZ-A------------------------- - --- -- ---- ------

LOCATON C LOA~~ X . SO SY_ - TO ~ -

-6 3 86 8 ' -32 ..-...- 9_

3 7 - 6449. 1897*. - - - a . 47. -- - -. - - -

4I 649----2 e

6 -24.' 9135 -35 - 8 --- .--.-..

**---~1------ 649 --- ,;318. -25i 475--

71,3204 -325.- ---- 285. - -

0 - 1 124. 7188. -325._ -285.-....

15 1904. 7183.' -325. '

o - 16 .1943.....7188........-325 -4 09...............-C

0 -ltRSL IGPIN IPL-TESS-AL LOCATION ...51 S2 Si

SI ~~8678. -'2 . -3 5 ~-. . . . . .. . . . . . . . .

- 2 - 9136.'-- ---- 499.- -2.- ------------. _ _ _ _ _ _ _ _ _

3 --- 6450. -- 1896. -. -32b.-------------------------

4 -. 4.......64-3 18 3. -. 325. .-- . . . . . . .

6 9136. -499......-325..t

7 64530. 1896. -325.

Page 100: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

8 6453. 1893. -325.

9 7206. 2665. -325.

10 - 7231- 1191. -325.

12 7201. - lil. -325.

13-------7193. - 1939.-.....-325.-~ ....................

- is 7193. 1939.- -- 325. -

167220. 1912 -25.*

THE 4ESUL IN77S STRESS -.EST S-AR -

LC.A O4 S1 S23- 7 8. - - - - -- -. . .

-~~~ ~9302.299 0 J . ..--- - -- - -- -- - . -- -. -. - - - - -.- - -- -

6264 -174. . - 417---- --- - . - . .

3 4554. 2221. -- -677b;. .

48 - -. 45b0. - - 2218. - -- 6778 . . . . . . ..... - - . . . .

696340. -151.4 . -756............. .-. .

94S41. -- 2990.- -- 7531-

10 6010. 1516. -752b6.

S1 -5541. - 2264.- 751 .

2 - - -- - - 63010. 15223 .- -75 26. - - - - - -- . . - --- - .... - -. -- . - - .

1 1......5254. ~ 2264. -751d..

16 53083. 2237. . -7545.

3

Page 101: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Ini TOTAL STRESSES IN THE VESSEL AD NOZZLE ARE

LOLATION SA .S SY TOX

1 554. 8908. * 89.

2 2279. 10366. 89.

3 7135. 3919. . 47

4 7135. 3919. * , 131.

5 - 1.00 8447. -650. 89.

.6 -3275. 7903. -650. 89.

7 5763. -126. -650. 47.

8 5763. -126. -650. 131.

9 -11168. 3052. -650. 260.

10 -12519. 3052. -650. 260.

11 16533. 11324. * 310.

12 14927. 11324. * 310.

13 -11843. 3052. -650- 136.

A4 -11843. 3052. -b50. 385.

15 15730. 11324. * 185.

16 15730. 11324. * 434.

THM RESULTING PRINCIPAL STRESSES ARE

LOCATION SI S2 S3

1 8909. 554.

2 10367. 2273.

3 7136. 3918. .

4 7141. 3913.

5 8448. - -1801. -650.

6 7904. -327b. -650.

7 5764. -126. -650.

8 5766. -129. -650. 7

9 3056. -11173. -65'.

10 3056. -12523. .-biO.

11 16552. 1130t.

Page 102: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

8 5766. -ld9. -b650*j

9 3056. -11113. -Usu.

10 3056. -12523. -650.

11 16552. 11305.

12 14954. 11297.

13 3053. -11845. -650.

14 3062. -11853. -650.

15 15738. 11316.

16 15773. 11282.

T t. LRESULTING STRESS INTENSITIES AHE

LUCATION 512 S23 531

1 8356. 554. -8909.

2 8089. 2273. -10367

3 3218. 3918. -7136.

4 3227. 3913. -7141.

5 10249. -1151. -9098.

6 11179. -2626. -8554.

7 5890. 524. -6414.

8 5895. 521. -6416.

9 14229. -10523. -3706.

15579. -11873. -3706.

5246. 11305. -16552.

12 3656. 11297. -14954.

13 1489d. -11195. -3703.

14 14915. -11203. -3712.

15 4422. 11316. -15738.

16 4491. 11232. -15773*

4 .- .- . - -- -- .. - ... . - .*

Page 103: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

NOZZLES N3 *N4 LOAD CASE 1

KiJPT KTYPE KB3ETA KOEF

KEYI KEY2 KEY3 KtLY4 KEYS

S"1 S112 p TN TV RN RMV 17500. 15000. 150. -J.750 1.5000 8.0000 28.2500

G~u1A BETA V kd.83 .2478

x Y z .0000 7.7500.'' .0000 - -- --.

AlI A2 A3 A4 AS A6 e.09495S .07266 .80504 .08500 2.05920 .03123

ql 2 3 94. PS 06

2.80574-.04293' -134830 -;.04346 .72;56~ - - . -. . . . .

.. ~c ......

Page 104: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

OP110a4 TmQEE OF- PROGR~AM NOZZLE

FOK THE FORCESIPOUNDS) ANO MOMENT5tP0UND-TNCHES)

-- ---- r--- FZ- -- X ~~MY,- Z........

-5523. 5523. .* 210300. 210300.

_TImc-!AQY- STRE5SES IN THiE VESSEL-ANO -NOZILE- ARE--- -.

LUCATION SO so SY -Tax

1 7s3. 5639.- -75.- 349.

2- ...... .533.- -- 9153. --- -7*----- 349;-- .....-- .-. -.-..----.---.-.

3 6077.- 1195.- -75e - 202.

4 6077. 1195. .. 7S -. 495...

- 6 533. 9153. -75. 349..

* 7 6077. 1195......-75. 22

- 607......11 45.. . ~75. ..*** 495*.- . ~ - . -.--..- .. . -...--.-.----...-..--

9 S3580. 6309. -75.- 1461 .

10 -1655. 6309. - 75 - 1461.*

11. 5380.~ 6309. 7 -75. 1461 .~~..........--.- - - - .--- ..---.-

12 -1655. 6309. -75. 1461.

13 -1863. - 6309). -75. h 6l.

'14 - 1863.-- 63U 9 -75. - --. 2062.. --- . .

is5 1863. 6309. -75. 861.

- 16 -1863.' 6309. -75. 2062.

-. ~t: RESULTU:S PRINCIPAL STOESSES ARE

LOCATION Si 52 S3

- 1 5658. -802. -75.

- - - - - 9168.--- 519. -75.

3 -- 6085. 1186 -75.

4 626 1145. -75.

5. -...... 5802. 75. r7?q

7 f, 11" -U) ..-

Page 105: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

** -7n.

7 60$5. 118i6. *>

d 6126. 1145. -7n.

9 7378. 431.. -75.

10 6569. -1915. -75.

.7378. 4311. -75.

12 6569. -1915. -75.

13 6470* 1701. -75.

7118. ..... 1054. -75.

15 6470. 1701. .

16 7118. 1054. -75.

'Tmt. ESULTNG STRESS-1JTENSITIES -ARE

LOC4TION S12 S23 531.

1 6460. -727* -5733.

2 849. 594- -9243.

3 4899. 1261.- -6160.

4 4981. 1220. -6201.

-6460. -727. -5733.

6 8649. 594 *9243.

7 4899. 1261. -6160.

-4981. 1220.- -6201.

9 3067. 4386. -7453.

10 8484. -1840. -6644.

11 3067,- 4386. '-7453.

12 8484. -1840. -6644.

13 -- 4769.- 1776. -6545.

14 .. 6064. 1129. -7193.

15 4769. 1776. -6545.

16 6064. 1129. -7193.

Page 106: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Tol TOTAL STRESSES IN TriE VESSEL AND NOZZLE ARE

LOCATION SX SO SY TOX

1 -4259. 3961. * 349.

2 7024. 13497. . 349.

3 6972. 3140. . 202.

4 6972. 3140. * 495.

5 2693. 7318. -150. 349.

6 -5458. 4809. -150. 349.

7 5182. -751. -150. 202.

8 5182. -751. -150. 495.

9 -8708. 2108. -150. 1426.

10 -15575. 210,3. -150. 1426.

11 19469. 10510. * 1497.

12 12264. 10510. * 1497..

13 -12141. 2108. -150. 826.

14 -12141. 2108. -150. 2026.

15 15866. 10510. * 896.

16 15E$66. 10510. * 2097.

THE RESULTING PRINCIPAL STRESSES ARE

LOCATION Si S2 S3

1 3,76. -4274.

2 13516. 7005.

3 6982. 3129.

4 7035. 3077.

5 7344. 2667. -150.

6 4821. -5969. -150.

7 5189. -758. -150.

8 5223. -792. -150.

9 2293. -8893. -150.

19 2223. -156W0. -150.

11 14712. 102t7.

Page 107: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

10. 11 19712. 102b7.

12 13122. 96t)3.

13 2156. -12189. -150.

14 23 -!2424. -150.

15 16012. 10364.

16 16589. 9787.

THt ,ESULTINf STRESS INTENSITIES A-E

LOCATION S12 S23 531

1 8250. -4274. -3976.

2 6511. 7005. -13516.

3 3553. 3129. -69d2.

4 3957. 3077. -7035.

5 4677. 2917. -7494.

6 10790. -5819. -4971.

7 5946. -608. -5339.

8 6015. -642. -5373.

9 11186. -8743. -2443.

10 17912. -15539. -2373.

i1 9445. 10267. -19712.

12 3469. 9653. -13122.

13 14345. -12039. -2306.

14 14915. -12274. -2541.

15 564a. 10364. -16012.

16 6802. 9787. -16589*

.~.V

Page 108: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

NOZZLES NI *N2 LOAD C ASE 2

Ki)PT KTYPE P'8ETA KtJEF

KEYI ,(EY2 KEY3 '(LY' KEYS

Si S142 p TN TV RN R'4V

17500-. - 1,520 0. 650. 1.1430 3.1250"--7.1880 23.b900

Ci-UJA H ETA 7.58 .2bti

- - .0000 -. 9.0600 - .0000

Al A2 A3 - A4 -AS.....A6

1.111,50 .O4807 .24391 .09464 .90938 .0437 8

A8 2 83 94 us 96

1;28264 .07J325- .45475 -. 05639 .24895- - 0699~5

Page 109: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

0I.'ONj THREE OF PfOG4AM NOZZLE

FUK THE FOiCEStPOUNDS) AND MOENTS5(OUND-INCHES)

X VFY MX- FY MYMZ 2952. 2952. 90300. 90300.

TH PRI14ARY STRESSES IN THE VESSEL AND NOZZLE ARE

LOcATION - SX SOY TOX

1 -560. 8906. -325. 131.

2 -5.- 8906. -326. 47. --

3 - 6335. 1835. -325. 89.

4 6564. 1958. -325. 89.

5-560. 890. 325*- -- '131 .

6 -560. 8906. -325. 47.

-7 6335. 1835. -325.-- 89.

8 6S64.' 198325.i-9

9 2683. 7188. -32t* 285.

10 1204. 7188. --325* 285.

11 ----- 2683.--- 7188. 32 .285.:

12 1204. 7188. -325. 285.

13 1943. 7183. -325. 409.

____14 1943. 7188. -325. 161.

15 1943. 7188. -32.. 409.

16 1943. 7188. -325. 161.

THE RESULTING PRINCIPAL-STRESSES ARE

LOCATION S1 S2 S3

1 8908. -562. -325.

2 8906. -561. -325.

3 6337. 1833. -325.

4 6565. 1956. -325.

5 8908. -5b2. -325.

6 8905. -561. -32S.

7 6337.. 1833. -325.

Page 110: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

.v0 0.

76337. 1833. -325..0

86565. 1956. .32S.

9 2t5:6z~.

10 7201. 1191. -325.

- 172065. 2665. -325.

12 7201. 1191. -2.

13 7220. 1912.

- -4 - -- 7193. - 1939. - j5 --- - -

15 7220. 1912. -2.

- 7193. 1939. -325.

-- TrIE RESULT INC, -STR~ESS INTENSITIES AKE - -*- -- -- - - - --- -.- -.

LOLATIO.1 512 523 531

1 9470. -237. -9233.

- - 9467.-, -2:J6. -- 93.------ - --. .-..- - . . . - -.--.---.

3 4503. 2158. -6662.----

4. 4609. 2281 I. -6!390. -

S5 9470. -237. - -9233.'~

6 9467.. -236. -9231 .

7 4503. 2158. -6662.

- 8- 4609. -- 2281. '-6890.----_ - ----- ---- - -- - - --.- - -

- 9 4541. - 2990. -7531. 10 - 6010. 1516. -7526.

11.......4541......2990.-- -7531.--- --

12 - 6010. - 1516. -7526.

* 3 5308. 2237. - -754b.

----14 -- ~ 24----2264. - -7518.

* 15 5338. 2237. -7545.

* 16 5254. 2264. -751d.

Page 111: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

THE TOTAL STRESSES IN TalE VESSEL ANU NOZZLE ARE

LOCATION Sx so SY TOX

1 1417. 9637 * 131.

2 1417. 9637. .47.

3 6376. 2775. . 89.

7995. 5062. . 89.

S *2538. 8175. -650* 131. 6 -2533. 8175. -650* 47.

7 6294. 895. -650* 89.

a 5233. -1146. -650. 89.

9 -11168. 3052. -650. 260.

lo -12519. 3052. #J50. 260.

11 16533. 11324. * 310.

12 14927. 11324. * 310.

13 -11843. 3052. -650. 385.

14 -11843. 3052. -650. 136.

15 15730. 11324. * 434.

16 15730. 11324. * 185.

TalN RESULTING PRINCIPAL STRESSES ARE

LULATION S1 S2 S3

1 9639. 1415.

2 9638. 1417...

3 6379. 2773.

4 7897. 5059.

5 8177. -2539. -650.

6 8175. -2538. -650.

7 6295. 894. -650.

8 5234. -1148. -650.

9 3056. -.11173. -t50.

10 3056. -12523. -650.

11 16552. 11305. .

Page 112: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

* ~ ~ ~ ~ ~ 1 0?.. - ~'**y.( -t 1 )OF.03 -. 9,77E-04'

EA-4TWW~A'E 2 .

-- 0 E-A ... L S F iOR OUTPUT VECTUP 6__________ VEA4 T -AS -ES-E -TO.--S1-0N A L -STRCESSES AT USER L6CAl IONS- -. AilMIA' ---- -- r4T~iMU CAN E

dE-m.LOAC)-LOCATIUN. SH A SHEAR~ (TOC/j) - A A C (P/A.MC/1) (P/A-MC/ I SHEZAR NJ ~(V3/tKe-A) 1 1JA 0.0 -4.0E-~01 -4.61L-~01 0. -319+1-.5L0 J19 - .IS4E01 -3.1t38E.0l -58E*01 PPE

12 . 7E6ci 13 -. 1-_--1.9E'Q.1.-E.02 2.Pt1E*01_________

-3 JA 0.0 .- 3.- SE-ll -1.E-0 -. 19E-11 *1.447E-Iu. 1.20,dt-10 6.177E-11 2.3093E-10 S.i3-i2E-II1 .16~E-10 PIPEG r 2 2 J'i IOD.o -3. ';,-1l-1 -1.1 -1.1 - 1 .447E-1tj I.9jt'E-I0 d.3583E-10 2.504SE-10 3.R!w7lE-11 1.26E-10

J1 3 JA 0.0 -b~2- e .6JE-11 0.i -~980E-11 -2.965E-ii.2.984E-11 -.9616E -11 -2. 9989E-I I 1.48E-11 BEANG . 98E-I-.954I -3.I055E-11 -2.9408OE-11 -3.069*6E-11 1.5-11)

..__-4..~ JA 9.0 -.i1 I .tdL-I 3.73E-13 -1.451E-11 -7.406t-II -7.493E-11 -7.3&JO.E-I -7.5381E-11 3.68E-II BEAMGi 4 5 Jlj 110.0 -2.j

3L-11I1.'dcL-II 3./3E-13 -1.4blL-I1 -7.3'.bL-11 -7.n36E-11 -7.26o6E-11 -7.640(,E-11 3.63E-11

5 5 JA 0.0 1.e4E-11 --. 69E-11 -d.'115E-12 -1.8O8E-lu -1.51IL-10 -1.987E-10 -1.4)99E-10 -2.1566E-10 7.35E-11- PIPEG----- 6 .,11- .l!E- 1 ? 8Q E-Iu1. :-1 -2.JOIE-10 -1.3154E-10_-2.30IIE-10 6.64E-11 _____

. JA -. 0.0 -4.d7E.1-ol.OE0 . E1 .-3S'.1 3.OS5E.01 J.O5SE.01 5.621i3E+01 -1.1946E-02 2.'n1E.01 PIPEG-.-- -0 7 J3 100.0 -4.87L. j -4.91E-01 4.70E-12 -3.159E-01 1.946E-01 ./.'94tIE.0 1.25i49E-02 -1 .8pi67E.O? 6.27E-01

1 7 JA 0. 0 --..<2 -2.2 02 2.j30t--it -1.769E-04' I.090LUc. 1.090E-02* 2.2744E-62 -5.8117E * ? 1.14E62' 'PIPEG

2074 -. . 366531'..02 .-7.206E02 -1.d3E#0 _________

8 0JA 0.0 -1.olE.02 -1.81t-02 7.51E-12 -1.524E.U2 4.615L+01 4.ol5E.01 1.28138E-02 -4.3312E-02 6.42E.Ul PIPEG 6 11 J3 100.0 I-.ilE.02 -I.dIE.02 7. IE-12 -1.524E.Oe I 1.3ci9E0e 1.389E-02 2.5454E+02 -5.64283E-02 1.30E-02

1~ 10 JA 0.0 -5.23E-11 -6.96L-11 -S.34E-11 -J.o55E-11 -3.708L--I s91 8.1445E-11 -d.25SE-11 I 545E-1 -- PIPEG-- .

.3JA.0..5.~*,1.*1I't.I -5.'4 .IjU5E1 E7I-12.~ .6713F11.0d?1 -.5.,S3E-1 ________

I1t 10 JA V 0. .tec:-11 4.1-IE-12 2.i24E- 1 5.9315F-12 5.531E-12 ti.97.E-12 6.371,2E-12 5.49'42E-12 3.20E-ILI REAMG

* 11 1 JA 0.0 1.,3E-l2* 1.43-E02 1.903E*01 -1.524E.0e 1.34'.L.02

1.J44E.0?2 .5314E-02 -5.5769E+02 1.29E-02 PIPEG

12. 12 JA. .0.0 1I.f02 1.1,jE.02 3.1'-E-01 -3.911IE.0e 2.2e.2ti,0 2.242F-01 1.9371F.02 -9.7591E-02 1.04E-02 PIPEG le 37 JIj 100.0 1.16E-.2 1.I8E-U2 3.14E-ol -3.911E.0e -22-t0 -2.079E-02 -1.6030E*02 -b.2190E.02 Bi.,4E#01

iU 13 JA 0.0 -4.61E-00 -1.6p E-ol 8.25E-03 -3.747E#01 -3. 77H.u1 -3.747E.01 -3.12 13E.01 -3.7714E.01 1.t36E~u1 BEAMG........ .~~1i2~~4J-__ !,.~~J.4.E.3.6.U.17:3.470-.7.5EP.O-3.7682E.1__ E6E.p1 ____j_____

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Page 113: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 114: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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* E~qTm'JAE 2

-,AAmIM STRESS SU:'r.A- Y FLI____ d E A M S T Q E 5 S E S FOR OUTPOT VECTOR 6

TQA".S'dEt~sE --- TOR61ONAL -SN.ESSES Ar USIN L(JCATIONS - MAXTHMU: MINIMUM4 COMAINED

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Page 115: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

d E G 1 14 INDUT LOA!) CASE NJ. I TITLE( NULE LOAJ CASE I

NdJUAL POINqT APPLIED FuLHCES' FU LOAU CASE WO. I

J~hEp. A3 X'. X5 . e.. . i2Oi. -d.9520OUE-03. -- 0.-----. -- 9.oJOOOO0tO'. -9.030000E-,04.-0...-. . _____-____

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14LUAL P~OINT APPLIED LUJsWS ANiUIOP UISPLACEIIENTS FINttL SU9*1ARY FOR LCAL) CASE NO. I

N'J E /.j Ae X3 A4 X X6

*riJfE* IF A FI.NAL S0mMAlY OF '.PPL!Eu 1NODAL LOADS ANti GE.NLRATLD LOAL)S IS V)EbIRED) AT THIS POIN4T. -COOE A.I- I.'J.COLUMI ?0 UF TIL STAT IC C4A U.-

- -- -.. ....... FORCE AJL) HCMtcNT SUMMATION ..

A4,u'.f AXES PA'(ALLtL TO SY'STEM AXES ~~ Ti-i UU~~0RliN'.. AT..r0INT..I09 G-.0 .... _________________

* SUAM.ATIOiv Ii'CLVjES LVwwS APPLIED TO ,ESTRAI;iEu DOF.

FAI 41-3089Oi31.00UE*O4

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Page 116: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

NW)ZZLE LOJAD CASt- I-I -- L -. AFU. OR UUTPtJT-.V-AZTOR- _ _________

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Page 117: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 118: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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.. .. . . . . ..

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Page 119: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 120: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 121: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 122: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 123: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

I JA 0.0 -5 . _U-1 1 E-01 I -.J.F-OJ ~.9a,4ui -,j d*0 1.aiu .o3.1 3~7Eo 2. 90E a E v4

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141ZLE LOAOu CASE~ I

U A X 14,Jl STRESS SUAI.A-Jf Foli

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Page 124: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

8 E 6 N v4PUT LOAD CASE NO. 2 TITLE( NOZZLE LOAD CASE 2

.du.jAL POINT !PPLIE') FUCES Fvjq LOAJ CASk NJ. 2

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NJOAL POIN.T ADPLIED LUAUS ANJ/UR UISP'LACEMNTS F~INAL SU ;MAINY FOR LJAL) CASE NO. 2

%0PE X1 AZ X3 A'. Xs X6

* f.'fE* IF A FINAL SU4.4M~tY O PLcUNODAL LUAUS AND GENERATED LOAUS IS ULSIREL) ATTISONT o .~.. C;DE-A .1 .IN C)LM if OF T.'t STATICCA~.....

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ABJOUT AALS PA4I.LLEL TO SYSTEM AXES

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Page 125: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

* -- - -NOZZLE LOAD CA L 2

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Page 126: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 127: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 128: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 129: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 130: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 131: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

- - ---- - - - --- -'~-.,. .. ;.- nt s L*r-se*U

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2 26 J4 0.0 -2. 91 01 -9.3DE*01 3*b8E*00 7.901E+01 1.461+O2 2.135E+02 2.8471E*02 -1.26o9E*02 1.42E*02 PIPEG 25 27 Jd 100.0 -2*1'001 -9.30E*01 3.9o00 7.901E*01 2.43 3t+02 5.88E.02 6.1439E*02 -4.5637E*02 3.07E*02

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Page 132: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

-' 41 A ~ I. ' L>-12 usft 3'..'U 1 1I 0 *3 42-3'.S .OJ 3.37t34E.03 1.15VIE.O3 1.h9E-03 BE A'4.1 42 JA 10J.0 9.fOL-12 6.4/E.02 -6.-uE.o1 2.264E.oi1 19 iL.OJ .e6EQJ. 3.3492F-0O3 1.ldb3E.03 1.8E0

NOIZLE LOA.) (JAIL 2

-' MAXIMUM STRESS SUAA~ry FOHI I8 E A A4 5 T E~ S S E S FOIk .)tTPUT VECTOR ?

--T44'jSVERSE TOqS!ONAL -STRE!SES AT 1J3LR LUCATLJIS M iAXIMUM M.'NIMU - COl' INE) Simft~ . SHEAH (Toc/j) A d C (P/A.NC,1.) (P/A-fAC/f II SrRESS

'IAA. HEA4 STPESSES=. 1.4.3E-02 b. 47t:-02 1.16E-03 2.269E+03 2.0$'IE.UJ 2.JOSiE.O3 3.3744E.03 1.1I3d3E.03 1.4~9E-03 8EA' \los. = 12. 41. S. 41. 5. 41. 41. 41. 2A.

M'4. 6,ELM STRESSES= -4.t.2'E~o2 -4.5 .-02 -1.16E*03 -1.8b)OE*OJ -2.544E.03 -1.852E.03 -1.1862E#03 ,2.6457E.03 6.283E-13.......- . .

2EAM Nos. . 39 2 8 3-) 39. ... s

Page 133: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

l ~ t.,tJT L-*)A)- CAX.-E i~u 3 TITLE( NUZLLE LOALJ CAbi. 3- MAXIMUM UVERTUNNU MOMENT

N'AL POINT APPLIED FUONC73 FU4 LOAIJ CASE NJ. 3

k:OE1 )12 3 X4 X5 X

_ -k 92L ~jE+ 0j . .952CO0E-03 "-------.-.030J000E-04- -9.030O0E0O4 -------------.... 6 -e,'JC.3 .952^,uuE-3 0. -9.03UO00E.J4 -9.0300'0E04 -0.

.... e1 J.ijSCO E.O -J.9v~f0~oL3 5SS3000E.03 -2.9?'40OOE.U5 0. -0. -.

9 0. 1 . ts IUO0.0 0. -2.9740OOE.uti 0. -0.

N-jJ±L PO!!4T 4:'PL!IEO LUA.)S A! U/Oq ,JISPLACEINTS t7INAL SUM~'AA-Y FIj' LCAL, CASE NO. 3

N rE X, Ae -xi A4 X5 X6 d

* *N4.jfE* IF A FINAL Stlr-IA4 Y OF APPLILU JDMAL LOADS ANU GE14ERATED LOAUS IS UES!REO AT THIS POINT,

-.. CODE A I IN CJLUPN ?o CF Tl!L 514TIC CA90.

.-........ 2cCt AN'O m0-JioNT. SUJ,44AT-ION

AR'J AA".S PAH ALLEL T'J SYSTEMN AXES

-- _____T 7!---.- - . : J.,I i~ A T Pl-JI~iT. (0.s0.,0) ... -. . .. . ...

SJ?-!f4ATIJi 1*40LU,)cS LOADLS APPLIEL) TO RESTRAI.tLd 0OF.

.FX2..- . . . . . . . .

I -. ?1.3'3C Uc -7

-. .........j . .... . . . . . .

~J..-. .... P.

Page 134: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

NOZZLE LOAD CASt 3- 4AXIMU' OVERTUNING MOMENT AXIA 4- EL E K., N. T. L 0 . .A..JS FOR UUTPUT VECTOR .- 3_ AXIAL . R SHEAR IokJ41IN dENO1ING nDNDING * EAM. .L(AU-L~r-tj.j . .e V3 :. r M2

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Page 135: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 136: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 137: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 138: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 139: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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L 1 11 j' 100.0 4. L9E- 12 -1.1Gt.0I -5.1ji I1.105E-01 I.052t.01 1.15!-E.01 1.2068E1.01 1.00?2101 6.0)bE.00

11 11 JA 3.0 8.11E-01 I.9n-E.02 2.276-01 -J.051E-11 3.u4E.00 -.. 37E+02 5.8111E*02 -5.8111E02 2.41E* 0 2 PIPEG

. 5-2. Ja 10 0.3- 8./IE-2ul 1.54 02 2.27E*01-3.051E-11 2.55L*03 '..e34E02 4.9472C-0 -4.9472E*02 19*.4 P02 .

1e 12 JA . .0 1.JtEGC2 2.61E*02 4. E-01 -4.16541-11 4.9513*01 8.19E+0? 9.573E*02 -9.57530E02 4.5E1*02 PIPEG

le 37 J- 1330 1.lE*02 2.2Dic*u 4..0E-01 -4.184C-11 1.S8bt*02 1.37E+02 4.0213E.02 -4.2213E02 2.061E02

13 13 JA 0.3 -3. -100 .0 3.12E-03 3.192E-0 3.45L*00 3.09E.00 3.2005E00 3.131E00 1.6000 BEAHG

1-, Jd -100.C -. u U* 2. - J1.*01 3..E- 0..-1912 0U 3.20-:00 J.9 U 3.2091E*00 3.1745E00 .. 60E*0 .

14 15 JA - 0.0 -4.SE . 0*1 4l.3a&0 f.'.E-01 1.124E-11 2.17'.00 1.047E01 1.2104FE02 -9.400E00 .75E*01 BE AG

4 1. J-3 103.0 -4.65E.02 0 1.14E-01 5.12IE-1I 9.842E01 3.07E+01 1.0876E*02 2.8605E00 5.441E*01

19 1 JA 0.0 3.1E-1-0 -. 5-01 -1.1E-05 3.28E.0U 3.07*00 3.526E*0U 3.3396E+00 3.7956E00 1.73E*0 PEAG

15 . 1 39. 1000 .3. - ) -11O 4 .5J3L-0 1. 15E. . 2.36?E2.U 3.71 IL-02 J.02*0u 2.923E.00 3.697'103 I .71E*03

15 10. JA 0.v -?.J7-0U 1.20d.001 -5./IE-Oz -3.123EUd -3.09t.00 -17E*00 -3.69*4.00 -3.9199E.00 5.46E*00 BEAMG

1t 17 J! 100.0 -4.JJL0' 1.1001 - I. IIF-O1 -. 15*0 1.0HIt* L 1.15*01 -J 1.798F.00 -3.0505E0o 1.40*00

11 17 JA O*G -3.-E.o1 1.7E*02 -4.16E-01 -J.7401E11 -8.33E0* -3..4.7E01 -6.8131E*0C -1.0464E102 3.51E*00 BEA G

1 . .J4-1 .. 7-.. 1.I -2i. 16E-01 -,.574E101 -I.5?3LEJ I -t). 02 -. 5753E*C2 -4.9297E.02 6.15E00

13 13 JA 0.1 .- 000 .2.0- t..3-03 ?.331E09 2.37e1000 2.33 00 2.23745F00 3.25331*00 1.10E00 BEAl.GM

13 19 JO 100.0J 3.o30_o 1.2u.01 ?.2.Jt-03 .3 1 0u 23.2060UO 2.31E00 2.34771E00 ;.3147E*0 1.17E0E0

1t 10 JA 0.0 3.1iE*00 L.7/t-01 5.7IEu-0 3.*?L00 3.1.30100 ..0964E00 3.73119.E0 3..6533E*00 B.H7C.00 '3EAMG

19 ?1 J 100.0 3.1P1. n0 .1.7L-t1 1.10E 3../02E*U0 3.7./L00 J0C.00 J.'T0200 3.6797E*00 1.8E*00

Page 140: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

1.3 J-4 1o).t -04.-,)1 uI,7.Fn -() 1 -19 o.,; n 1 0 1 SE . o

i' 20 J.l 0.0 3.XJE.3c !.It-oI -3. 3o 3.b92E.UU 3.730t-00 J.-9'.E.Uu J.7.411E'.UO 3.')53H3E.0o 1.1!7E-00 '3EAmG I 21 4.. 10'.C 3. i3E-fl(; I .7L-iL- 3. lI'L-u J .i)'F*>..3 3. , Iut*U0 3.W~eE.Uu 3.7k )eC.00 3.6747E-00 I .,16E.QO - . 22 JA .. 0.0 -5i.3 E.O1 2.5,5E-00 -3.15 - 01 -4.5i9E-01 -I .0 'E - 0 -3.174E-01 3.25IOE-01 -1.22mBE.'? 1.63E:-Ol I3EAM41 S 21 4t3 100.0 -5. J-:E -C I e.'5d.00 -.3.75,E-0 -4..S'9E-Ul -1.9'OE.00 -J442E.O1 9.j1iq'E-00 -1.oOOmt.o2 4.61E-00

* 1 22 J ~0.3 3."fE0 1.7hr-111 -7.85E -0 P -3.1?6E.Ou -J .15eE 0 0 -J.137E.O0 -.A'E0 -3.lh33E-oo .4u08u(,21- 16 .:1 100.3* J.tL E-00 7f--0 1-.~.o I.I - I /. :-06 -3.16E>Ou -J.?51,Et33 -j.142L-00 -e. 9A'jt'.1o V -3.27e2E.o 1.4.9E-00. __

ft J.1'4 0.0 -1 . r3[ -rC 1 -0 7.id.o , 3.131E-uu 3.074.E-00 4.l815.00 3.?4?4'.00 3.0202E-01) 1.62E.Oo SE4'1G . .

* j 23 JA 0.0 -2.01E-01 1.1L~ 3.i'.E-tjI 4.5it6E-0 3.16-L-01 0 o. 768F + 0 8 .I o7E 01 '.6?2sEf.00 4.09F-01 HEAM.

e-. 25 JA. 0.0 -3.13c-00 1.313L0OU 1.'- 1.831E-Ou I.PetLOU l.o33'9E-UO 1.91.2bE.00 1.811i5E.no 9.21E-01 BEAmG. .

16S 38J 0.0 3.,, *1 9 . '.u-0 1 7 . w- E0 0 -1.+)01E.Ui -2..431E-61 :).936E*01* b . 43 -7 E 0 1 -2.2h6E6C*2 3 .io 0 1 P I -E~j

if~ 27 J: 100.3 3.eL.o1 .',c.01 7 . 6 -o -1.901E+01 -2.40,jE.02 -5.$41E.0e 4.5 1.9 6 E -u -6.099 .E.02 .2 6E *u 2

e7 27 j4 0.0 2.1IE.flj 6.4u -. 01 3 .v~e'u0) -t).OdOE*01 -1.341.t.0e -4.1?!E.02 2.,?354E-02 -3.251.3E 02 1.12E-02 PIPEG L- _3-Ji2-1E..3- )0. 00.-S.bUiE0 .- 1,SL.Oe -J:448BE. e.58021E.0? -3.5961E-02-9E0 ______

zc .J9 0. 0 .. 2 2 1 1-l - I. I') -03 2.26,1F#Oe P2.99IL-03 2.26~,o 0 ? .9,)7'- 03 -?.5437F-03 1. 9E #03 PIPE5 f.~

-2 -J! C3-2. Jr-12 -5.. 6L-OL. 1.1O5LSLi- .U

7t:.01_.1.0E0 102E0

.tE -. -30 JA. 0.0 1-2.2.IoL.oa -,t I F-04 1.113E.Oi 1.1r.± 1.1.?OE.ai 1.1200F.01 1.10blE-c'1 5.60E-00 BEAMG

Li 3 4 0. l4-12 I.e0L.Oe -. J7t - o1 I -dE0 8.99QE.0e 6.171) -0? 9.0o)32E-O? 3 .33kiiE~ - S02 B EA4&j _1--2L 2- j!.i100 . u- . -' 2--,1.2ut-. 7E l.. 6. 131 Eo . ai9.L0 9.~. 91 E-0 6.9-O 9. 0 i. OE - 2 .3.2 7hE + 02- -4. o.. _____________

3? 3 Js 1.0.0. j.J13E-fl -1.Oet.o - I.~ -J -I.26IE-01 -1.261EiI+01 -I..?bbE.ol -1.2551E.01l -1.2h23E.01 6.30IE+00BE4 .--

.3- _34 '_.-3 -3.C ..3.24L-12 .2. /1f.-j -I.U7E+04 -I.SIIt.UJ -7.033E-Oi2 .1.7200E.02 -1:5735E-03 ...3Eo __

J., 3C JA .. .3.- 2.t~l-12 J.o7--ii 0. 4.26-3L-li- 4. 2,.3E~-I? -. 4~32E-11 4.4323E-11 -3.57!>8E:-11 2.22E-11. PIPEG

.36 35 J4 0.0 1.ohc-12 9.14#E-12 0. J.331F-le -3.019L-13 U.175&:-12 9.385SE-12 -2.7237E-12 4.:)9E-12 PIPEG 3, 3f.Jj I..0 . 1 .12 . Y9 iE -12. 0...... ...J33 1E -12 . 3.331 -1 3 .331E-12 .3.3309E-12 .3.3309E-~1712. ___

S.6b 37 JA4..0 6. YtE +i 1.11t-932 2.17Eo-0.35E 1.032E.02 1.t9E3F02 1.9466F-02 -1.YA63E.02 1.02E-02 PI PEG

.U I ' I44 0.0 1 .0 2j:.0I 4. . 9?c.Ul 3.,dOE.oo -3.907E+01 -5.795E+03 5.431W+Ul b.0fl62E.01 -1.3920E-02 3.03E-01 P10GL)....~ 4~130... 1 4. 41c:. 3.6UF..oo -3.901F,+Ok -I.'4r.Ul e. 930F. -01 . 3.3 + -1.Il87F.02 . I7 3E +0

.J 1 JA 0.0 4.j5E -0I1 -J1.'Adr..3 -7.e7L-'. -I. LOE -0 1 -3 .25)t. U1 -.3.2613E-U -3.21,4,2E-01 -3.?700E-01I 1.62E#O I EAmu.

J.) 3- J 0.0 -1.*''E-12 -2.Dlt.02 -1-IE-02 -1.810E.04 -1.I11E03 -l.30?E-03 -1.1431E-03~ -2.47t.2E.03 5 .A 0 E 02 BEAMG -- . 4 4?. 0..-1"12 -2.01E.O. J -1.~1>h l ~ iC0 11i.3 - I 3E - U J -I. 1 296t:.-03 -2.4W)4~E-03 Sj. 14E-02 . -

j!_ u 1 3 .~ 1) I. 0! -1 .0Eq ..~~y 99~'u 4E . u1 4 . 1 Oi>r - 01 3 . 9 0 iE - ~? . 0 E uI 3EAMG

-1 I. L' 6.21t.o -tLl. . -i JJL*ol ? . 1197L - ()J I . 14JL -04 J . J.)E.03 .3.2'i6or.03 1. 10hnE+03 1 tj4E:-03 E4

Page 141: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

'JkELOA') CA ,L 3- ~IA ~II9jti2 4~~I

dE A m~ S T R E s S FOtq OUTPUT VECTOR . rO-i IONAL -STHSSLS AT USLR LJCAfIOJ5 - m4AxImJm kiIN I MU4 C0~4PINED - '~A- (T C/J) A Iic (F/A-flC/I) (P/A-VC/1) STREsSS

MAA.- 3c-A -- PSSS 4.. .. '~A teto , O 2.197E-UJ$ 2.9flL.oj .?.e32tE+1 :3.?2863f:-03 1.1364E-!03 I .t9E -03. -.

E 5. ea 41.~ 41 41. 2

~EL Nis. = 7. 4. 2. 3 L). 2. 39. 39. S. 35.

Page 142: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Appendix B

COMBINE OUTPUT

This section contains the following:

.B.1 COMBINE Abstract

B.2 COMBINE Output

0

Page 143: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Appendix B.1

0 COMBINE ABSTRACT

Page 144: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

1IPROGJd! COMiLllNE

ABSTRACT

"COMBINE" is designed to talc beam element loads from a STARDYNE

model and combine these loads in the following manner:

1) Beam loads due to nozzle or external load cases are

combined in a square root of the sum of the squares

or absolute sum manner.

2) Beam loads due to earthquake and deadweight are used

directly from tape.

3) The program calculates stresses due to the above loads

separately and adds and subtracts the beam stresses

from cylinder membrane stresses (if the beam is a pipe

or elbow), calculates the maximum stress intensity for

both cases and prints out the absolute maximum.

4) The program also adds the absolute sum or SRSS of the

external loads from 1) with each earthquake and dead

weight and then adds in pressure stresses as 'in 3).

The primary use for the program is in making Section III comparisons

for faulted and upset conditions. A key in. the program allows the

external and earthquake cases to be multiplied by factors, thus

allowing, for example, upset conditions to be calculated from faulted

conditions. The program also has a key which allows the input of

beam propcrties different fro:, those used in the STARDYNE analysis.

COMBINE is written in FORTRAN 4 for use on the CDC 6600 computer.

-rificatiun prepared by John C. Minichielo.

B.1-1

Page 145: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

THEORY

The load and stress calculations for "COMBINE" are performed in

the following manner.

1) Assume for beam N in a STARDYNE model we have external

load cases which produce an axial force at node JB of:

Case 1, P = M

Case 2, P = L

Case 3, P = Q

then, in the external load analysis, the axial force used

at JB of beam N is

p = / M2+L2.+ 2

p SRSS

IF the beam has a cross-section of A, then the axial stress

due to PSRSS is

.aSRSS PSRSS/A

Similar treatment is givcn to the shear loads V2 and V3, the

bending loads M2 and M3 and the torsional load T with the

following results:

Ta(SRSS) = P(SRSS)/A

t 2 (SRSS) = Vz (SRSS)/A

T 3 (SRSS) =V 3 (S PSS)/'A

B2 (SRSS) = iM(SRSS) C3 /1 2

3 '(SRSS) = Mz(SRSS) C./I

t (SRSS) T(SrSS) CTORS/J 0

B.1-2

Page 146: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

where: .

A = Cross-section area

C3 = Half beam width in "3" direction

C2 = Half beam width in "2" direction

I = Mioment of inertia about "2" axis 2.

13 = Moment of inertia about "3" axis

CTORS = Torsional multiplier

J = Torsional constant

'If beam N is a pipe or elbow, the pressure stresses are:

o(AXIAL) = pR/2t

o(HOOP) = pR/t

o(RADIAL) = -p/2

where:

p.= pressure

R = mean radius

t = wall thickness

If beam N is a general or rectangular beam, pressure stresses

are zero.

The SRSS stresses are combined with pressure thusly:

a) If the bea-n is a pipe or elbow

o(AXIAL)TOTAL 2t (oa(SPSS) + B 2 (SRSS)z + B 3 (SRSS)

B.1-3

Page 147: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

b) If the beam i rcctaingular or general

o(AXIAL)TOTAL = o(SRSS) + B2 (SRSS) + B3 (SRSS)

The shear stress on the axial plane in the hoop

direction is found by

T(AX-HOOP)TOTAL o(SRSS) + / T2 (SRSS)2 + r3 (SRSS)

and the hoop and radial stress are as shown previously.

The maximum stress intensity for each total (pressure t

SRSS) is now calculated

oz = (o(AXIAL)TOTAL + o(HOOP) /2

+ ' (o(AXIAL)TOTAL - c0'!00) ) 4 p + TOTAL

02 = (o(AXIAL)TOTAL + a(HOOP) )/2 -/

.03 a(RADIAL)

Max stress intensity = absolute maximum of

((oI-aG, a2-o3 , C3-0 1)p +.SRSS, (oI-a 2, a2-0 3 az-a1)p-SRSS

Similar calculations are done if an absolute sum of the

external load effects is desired. Referring to the

previous discussion of beam N

P AUS, jMj + ILj + 1-QI

B.1-4

Page 148: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

The treatment or all renaining calculi 'ons is identical

with ALS replacing STRSS as a subscript.

il 2) For loads due to a static or dynamic (DYNRE4) earthquake

analysis, "COMBINE" roads the earthquake loads directly from

each of the earthquake files. If earthquakes (for example,

vertical plus north-south) are to be combined in an SRSS or

absolute sum procedure, this must be done before input to

"COMBINE". This is done internally in a DYNRE4 analysis.

For static seismic earthquakes, progran "PRECOM" does the

required manipulations. The method used in "PRECOM" is

identical. to that used by "COMBINE" for external loads.

The file output from "PRECOM" can then be used as input to

"COMBINE".

Stresses due to the earthquake loads of each earthquake file

input to "COMBINE" are now combined with pressure as in 1)

and the maximum stress intensity calculated.

3) For beam loads due to deadweight and other external loads

the sign and direction of which are known, "COMBINE" reads

directly from the STARDYNE output file which contains the

loads. The stresses due to these loads are then calculated

and combined with pressure as in 1) and the maximum stress

intensity calculated.

B. 1-5

Page 149: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

4) "COMB INH" now fin' the sum of the be am lov - due to the

SRSS (or absolute sum) of the external loads (1) + earth

qual (2) + deadweight and signed external loads (3) for

each earthquake file. Since the SRSS (or absolute sum)

loads and earthquake loads can be-either positive or

negative, the sum is made such that the sign of the dead

weight run load is used, i.e., if for beam N at node JA

we have

P(SRSS) AXIAL +10

P(EARTHQUAKE 1)AXIAL = +20

P(DEADWEIGHT) AXIAL -30 then.

P(TOTAL) = -60 AXIAL

Beam load stresses are now calculated for the total as in 1).

These stresses are combined with pressure as in 1) with the

following exceptions. If the axial and bending stresses due

to total beam loads are negative because of deadweight and

signed loads, the absolute value of the sum is added to and

subtracted from the axial pressure stress to obtain the two.

possible load cases. If the torsional stress is negative

for the same reasonr it is made positive before addition to

. the transverse shear stress. The maximum intensity is now

calculated as before.

B.1-6

Page 150: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Appendix B.2

COMBINE OUTPUT

Page 151: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

* - . ~~Ak'r1-UAK.. I14 OLLLE LOADS. +. OEADeEIG~ - --... - .

E A M E LE M EN T L 0A 0S

......... N0 LL. L- U A S -- E -A R T -IU A -.K -E -. N,.UO. I U. iE A D W.EI GT K -. . --.--.. T

AA I A!- SAAIR SH1EAR tIENDING 9EN.3 IN5 TURSI ON ...................--..2 Vi142..........3........MT..............

1 ~ 1 JA *IL,75F-05 .. 3540E.3'. .43540E-04. .0 . .

- 2 J J4 j 2".* o.04.......... .29Se0r,04 -26745EvO~i- .90300E+O5 .00300E*05............-.. --

2 2 Ji b.' .29520E-04 .3 *-9030i>05 .93J0UE-05

Ct 3 3 jA .2VD.1. .2950E+04 .267-#!:E-05 .90300E+0S .903'WE.05

.. 4 .)A ..... . ..- j--..29',eE*0'. .9667bE*t----.9C300E-US --. 90300E+05----------- .--- -0

4 5 .Ji3 e''ak;E04 .t .2)520E.O04 .2674":Eo05 .90300E-05 .9030--05

*0 5 5 )A .2-D2 E-0 .0 .2952CE*04 .2tbP6. 05 .1)0300E-05 .QO3OuE-05

o ----- JA -. i2-.~..12~RO..303'E.0b... 30360c.0 6 ..- .0 .. C

6 7 Jd 1 .I "-IE.o~ .10253E.ui .10 :5dE*0b .53I1'.E.O6 .53lb4E-0t) .0

O 7--- 7 JA .33.10 .1I,4EL)i .15441E-05 .531F;4E-Ub .53I184E-06 .0 . ~~~~~~OD-( ---- 68o3dEt06.....0_ _ _ _ _ _ _ _ _ _ _ _ _ _

-. b JA I e...1,dE3-14b4.0.164E'05 .6A8 8f: 0 .6803;JE*0b - .0.......... . .-.

6 1! ja -. l.!i.~ .d684E-03 .119,1'E.Ob .9419tE.0, .9419tEO06 .0

C' 9 10 JA .552>' U ~30E+04 .4318-9E+05 .2lo29E+06 .2l029E.06 .

-9 .,j-. idE+0 ..... t 5 0E t0 4-.. . *2006'.. .20 -106. _____-

O 10.i -- 10 JA .o...........5t)230L-04 .1# *3189E-05 .*21029E.06 . 21029E-06---------.-.-----.-----10 11 J~l .5S)2CE.O'. .0 S~be30E-04 .19884'E.Ob .21029E*Ca .21029E-06

11 11 JA .3 i C28E + t 15*8E U~o .18f21E*WD .12? fOE.07 .92Rt82E>00 .1394.3E-06 .1-..2.Ji.....-.31 .U.....d ..... ll1.5 .59'4E-0a-- .71059E+06.. . .1394JE-06

12... 12 JA ..... 5 2 1 1 - .. fi 79OJt'U....i'1Ei. )94E-06 . -. 15EOb . 13943E*06......-s. .

12 31 -. 5e I 9;-, 0i *?27901.0' .10412E.0 .475?18EtOo .37209E.IUb .139-.JE.06

13 1 J 3ec40 .I99YL.0'. .16930E*04 .855r.e0E,04 .-. 12733E-06~ .4628UE.040

__ -U5 -- 7990-0 ... E2c2A*0 163,-.00E0 162SE+06 .4620E+04_ ________________

14.. 15.JA .... 79 t9 UE.U4 - J2?24E-.U .. 159JOE-04 .186iE*05 . 14.357E06.. .270001>02.

14 14 jt3 -.7uI40E-04 -. 5a224EL.U .16930E-04. .4b2bUE-04 .16?b,'E+06 .27001)1>02

15 15 J ..7'1 /E .G, -. i7,14E-U: * 169.iOE-0t .1H6.E05 .14357E*06 .27000E>02 0 -. 15.~ ~~~ 7.) 36'Ij.' .YhE +0 t , 1 -j0 E 0 .2730 02......... E. 0_ -2

Page 152: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

.....-A.M,--M -E L E -M FEN T -L U A 0 S-

P.- N LLE L 1;A 0S +EA R T H UA KE NO. 1 E A DW EI G HT

b LAM4 NODE------AA I1 A L - SH-E AR .. S HE AR.--------D 1;G R END I NO. TORSIO-N....... --. . 'D V2 vi M-2 13M

is5 16 JA -. .7 0460E.0' . . * 7- j .9tb900E.0J -.. 24251E-05 .942'5iaE+06 .27000E.02..........- . . . . .. -16 17 jwl - .Jt7E*0: *)S9001 -0j le'597E-05 -.1643oE.-0 .27D0J0E.02

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Page 153: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

B 3E A M E L LA4EN I L 0A DS

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Page 154: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

- -- EAq~rr.'ulA~ 1...I NUZZLE LOALJS DE 0A U I 54T

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Page 155: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 156: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

~I LA M L L E A NT S T aL iS E

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Page 157: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

E;At(Trl)UAr. I * iOLLLL LOAUS DEADvEIGHT

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Page 158: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

~A-Oi.iA~I ULiLEt LOADS O LAI0.vtl(I1T

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S7.--.- .. ut)L3JE-U,4 .. ,.75)(0rFO,...... .379W0 .155'i3E.03 .. .*27,i5E,04 .,.6721..E 04____ 27 3IC .i e2.J;-' . U 4 n45JE04 -. 300Cj.u2 ''$.. 03,51 j .03 .21'.25E.04 .6726d. E.O'

2d 29 1 D D3t.?E '4 .f .ei2(UL 04 -. )OUDE-ue .4 1 ')3E-04 .I37hoE.04 -. 19343E.04 .49)873E.04. .. 2i.........11e,.-'s -. 1n0'JUE.UC . 36d6JE.Cp .137bU..4 -.13f02JE0. . 4 -o04

29 ...... q 6. . ... .l'.E.Oe .1lb72Ei2.. -. 11044E+02.-.2ti644E.02 __

29~3).) .0 U I2 -.'CU2 7E2 -. 12044'Fj>02 .26940E-02

3:0 2A . 1 .0 .31lOE.02 .?5 3.tL .01 -. 3127OE.o2 .3167,iE.02 30 . 1.......,. . .0 .31elOE0t2 . .i'.0-.U I -. 31?70t -02 .31I~E.02

r~

Page 159: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Lr'I~dA~ I *.JLE LUAL)a + DEAU4EIG11

LLMCUf1.AL STRE~.SSEs A14UL MAA.MJ, i.Qs

.4 LF I I); G ~~EA 33fiT *EACIrj.&jUrE...

lA' Nj E PP. W- So '4 Tor AL T) AL TIJIAL MA Xl IM hjup . .. 461AL . &!AL S. A ~AAAL INTEN~SITY . 31 ii . .0 .(1 *2?90 OeE. .?49~19E-03 -.229U2E.O4 .234.3E-04 31 32 u

1 .. .0 .g ?c:.304 .24919L-u3 -.2d'1 E-04 .2344H3E.O4

* 32 3 3 .0 !t? .211" ,iE - 0 2.9 1-2E.-02 .30?1E.O . 33.33 .... .0

.27 -0 f6 0'.. . *410.-3 -. 27PilbE+04 .. 2kil45E-04

._ J-11- _ 3 ~ .6540.-3 - 0 0 0E 0a .3t!/ -b - .. 6(,4uJ,L.u2 ..J0v 3E-04 .67214E______04-_

~ ~ ~ *3645UE-04 I7bo~OE.02 .24n4j0 ..4 .6b404E-c23 .i303-04~3 .3'6214E*.4 __-_

37 JJ75 .lt -.j' .6675uE.0. -. 76SOOE*62 .346!53E4 3441! -- JA~u *3l96LiE.03 .6750E-04 27~.-d.......~E .. ... .J luE5L .. bIU3OE+D2 .. 23~4i.0'- .1Y3oilL.02 .;Q'.7bE.0. .34 69 1E04.

.7360.E'.2.23 /t-0 3,)(SE - 0 11)',474E-04 .3-66/E-04 37 V, ~ Ij~v JJ5-EU .0 ao~ .24 1J4#+0. goudblE-u? -. 9617E.o4 *3P5o1E.04 37 id. .0/,uE0 NUUOEQ .235C17L+04 .900'31t.03 -. 1boI7tcE4 . .b37iE.0'

V /614. .e .614tf.Q- -. 767

4E.02 .779S oE*02 '31 '1U .0 .0 .5Sbo7E.u' b3U(32t-03 -.b3J21E.04 .5t)571E-o' 4* . u .. 0 *.ol 7EO'4 .530hiJE.03 -.63'.OIE.04 .5)3 7E_04

41 41U. 3,-E0 ?bEU3 -6,4E4 .64E0

41 4 U 63,t 1 04 .2joJE +3 -6340 E-0 51)9':E-0

Page 160: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Appendix A.2

"HQR" OUTPUT

Page 161: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

O ~ ~ NMr - iGEN AU- FtUECE - -FREQUENCY(F)

_________________- I *92765d),F_.O3 .4k47460057E*0248 76

.I0I~E06.5040173346E-02 __-- 50.4677_ _ _

3 .1527b8diE.06 .6eeU674513E*02 62.2067

____ 4 .1'3311241IE.06 _ __-.6i!21666134E-02 62.2767 _ __ ___ __ __

105 .219871d.SF.06 .74bL 53750EO0? 74.62)15

6 ____3 83 4 1,1'-4 4±6 ,945'.917177E -0 2 .9.*5492___________________

7 *523196Jo)E.06 .11"Sie0455!E-63 11I'.1205

80 t3 052,,i 1JE.06 _ 12Jd223216E-03 123.8223 _ 1 o9 d4l6euE-06 .149111~2557fE*0J 149.1113

JO.. .14-t____7 172 5 68E 0 11/7.2651 ______

1 ~ -1 10 . *43751JE.07 . .178Y7dbS0623103 _______ ___ ___

*~~~~~~~~~~ 8_________________ 16?1IE.07 .205191 U74.9E #03 - 2 20S. 19 19-______________________

13 .16b24'3dE.07 .205S06'.342E-03 205.2074

___ ___14 .169i~0jOE,07 ___ 207j9)24480C03- ___ -- 207.2924 _

1. __ 996E07 _tU603E0 319.7473

6_- ___ ___ 403620 71f -07__,___,.31,)74 12 740E.0 __1977_,

it *'7113zE.07 .3454ti43327E.03 34:j.'44,

_____________________ P3 ., 3j~UJE.07 __ 3 )67e73697E-03 .356.7274 ~ - ____________

19 .*>o2779JOE.01 .3td42jj 97EL03 364.2131

10_ .. *9 7) 2 2 0E -0 7 .3 d 04 53 9 6E -0 3 38i9. 0425____ 21 -t)9711dE.07 .3691047054E-03 36v.10J48

-. . . .e2 d 3 N' *~ 2 7 obF - .4 6 153251 E +0 3 __460.*3753- .--..-

c. 23 *d~bll9d-E07 .4 f 0 -tlJ 0 3E-0 3 .7.9~

_______________________4 10 0 3,15 J .l' El .504e94481 110 _____________ 501-.08345 _____________________

25 .139!2 HO E*38 353I~,~J5J~S

- 26 -0~,->'.8 4~169t. 13991E *03 81N4.9414

0 .-- ~ 43250312E+08 *1040b819J94L04 104b.6820

F -if-- N--.--.--.-- - .. dA.. . R- 5 TI Q .4- l-1

*0*POST-PROCESS FW4 ELEMENT LOADS LINK 04

.-.... .......... ..... ..-.. ...-.-------- --- ----..--.

Page 162: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

- .. _____- ~M0)E.$1-APE-(E.IENVLCLOR1-.. -__ _____ ________________

mJ.JE Num'iEk 1 Frt Fl/JF.NCY 48.474601 , GENCHALUED WEI64fT 12270.700 om AIIMUm kOTATIUN . . 15 AT NODE I *[)UF 4 VALUE = -. 117683E-01 . . ..0mlk/.Imu.4 rQA*4SLA11UN 15 Ar NODE I QDOF =2 VALUE = .100000E.01

90.000~9 T'ANSLATI.JN . 94994b0 RU.9*99NIATIONS (RADIANS) . -.-.--. .---..

xi A2 3 A4. X5

18.4'.4I *6J'4b?74e8 -. 37252586ti -. 0113I 74 t36 -. 011370036 .00182B604 3 -.677691'U64 . f.J4-b774?8. -. 2b,4o98S3i -.01IJ7'.836 -. 011314836 .001428604

4 -. 63437742d *64S.77428 .00000o000 -.o11374d3b -. 011314936 .0011b2b604 5 .-.591257191 . *63-774d kbq6qf?655.-.ol1374636 -.0113748316 __ .0016326604 6 -5 7459Uo3 *i4-:7 1428 .372525865 -.0113748j6 -.-)11374836 .001828604

7 .3~lJ.i~i19...oI~o7I% .0000030000__ -.oS105104t) -. 016511046___ .0019328604 ________ _____

9 -- 2?39J1.670 .22)'713310 .000300000 -.0090t!4.803 -.0690d4f803_ _ .OOHL28604 ..~......Dii1'l0........)Y77500.__ __-.000000000___ -.00*195s2114 ___ _-.0843?i1

10 -. Ua9t 5jI3 Ocve6S3'8 -.00O0000 -.00v'5eII' -.007952114 .0018?',;604 11...... 9.534.2 1e35 ___ o3 .13. .. 0cooooooo ...-. 014"ie14 -.007952114 . .0 0 l8004

. - 2 .0213tien7 -.041365:57 .ooucoooo .000764.658 -,006764.6S8 .001671774 1' ~ ~r.. I_ d01b 3I5.-..034l3J~ 7.. -. 00042 .c0o1. OOOOU004. 0395________________________ 15 .002.95 i -.0Ut0108798 -.0072789ba -000U35:tj -.000312362 .0001i6304

13 .1------.0070I-4zo___ - --- /1.6 .-.... 00000000O -__.7.00372d*i'd -.000312978 _ 000197760 _

17 .Ol10?2o -. 0010H794i .0372703965 -. 00'0365859 -.000372862 .000195779 18..........OC01.lo -.ts34L7 .00007b4t27.__. .. 0000014e8 ___ .000000331. 00009 _____

21 .000i.s'.±37 -.OO0)8633 . 0000lb427 *0OU0OO042 .000001428 .000000905

23 .00610dt1.d 0 1 ') hj i u 2 -. 00127b8905 -.00027et002 oo0o315869 .000185779 24 .00053'137 -.oooiU3A'418 --. 00.O07s>421 _.ouuooo3l . .000001428 _ -. 000000059 .26 .036287_237 -*0je2873371 .000000000 .000001946 *000OU7946 oon0094449 27 . 00,Q21o154. -.03d~27154 . - U.0000000 ___. .0004'44102 ___.000444102 ___-.000009516

28 00)O1Oto2O -.001056'.2 -. 02i15d681 . OUO454du5 .0004S4805 -. 000017675

30 .002b.2cz'.31 -.OOJo.'63I .000000000o .000454805 .0004t,4ti05 -.000017675 31. . C6.0S4jM43. .. VU.9j Oledi93471. .0004.54743 __ .00 4 S4 7 9 9 ~ -0 00 018 33 9

220600U0 .00Q0000Q0 .013ti7356J O6.OULC0oOGOO_"_ 0.000000000 0.000000000 3.......00005112 - .0 0Ji4s'J.3___ -. 012593471 . .0004547't9.- .O0454793 -.000018334 __ __

O34 0.6!'COOOOO 0.OOuOlUOOOo -. o135735bi 0.OOC00000'Jo 0.000000000 0.000000000 _ _ c -. 0P000___ 00493 00547 :000017675__________________

36_____54 Ol'40S .000000000 -. 00074/J -. 000743I7 ._000017117S'

3 8 .011 b4fl-a -1 0 11 8975b 7 .000000000 -.0o'03bt-070 -. 000366070 .000190174 39 _ .- .050'51oj'.0 . .004430096 _ -.220017765 -.00/951bb0 -. 001949304 .00193-3974 o'00.010030000 0.0030,0000o -.23i148S15 0.000000000 0.0000U0000 * 0.000000000

_____~~ *..048.....0~516P.0 ___.2e01 776 -__.001949304,. -. 0079516,..'i .. 001N38974 __________________

42 0.000000000 0.00u000000o .23714851!5 0.000000000 0.000000000 0.000000000

*40J.L 'PART1C1PATIOA FAC10R (XI) z -6.1181022E-0l '3EN.'1. __TIMES 14UL)AL P'ART. tACT. (XI) = -i.5073397E.03-----J0IJAL PA4T!CIP'ATI0'N FACTUR_ I X 2) 6 .I18 10 22 E - 0..... ..... T I M ES MOLI0A L PART. FACf. (Q2) = 7.5073397E-03 _________

14LAL. PARTICIPAr1OU VAC1LhR (X3) = S.78333d8F-13 rF.N.w.. TImES MOO'..PART. FACT._ (X3) = 7.0965617E-09

o ----------.........-. -.-...- . -..-........ .. - . . . --..--...-

__ . . . . . . . .. . -.-..-.-..-.-..--.- . -..--..-.----.-.- . -. -..--.--.-- . . . . ---.-.- -- - - ~ .. . ..-.0. .

Page 163: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

MvuJE NuM9E 2 Fke~uENCY 50.467733 ,GENEHAL1ALE WE[ "4T *12001.937 - MAXIMU14 ROTATION- IS AT NODE I . UF = 5 VALUE -. .1a074E-01 '4r4AJ(1t4UM1 TRAtISLAT ION IS AT NODE I *u0F = I VALUE IOOE0

TR~NLAVPNS * 90**4Oo~* MJAT IONS (HADIANS) -tlJ A, x3 1.45. - -1L J.Q~~Q3 2. '00 ..0Q0000 000 a__ -.10013 22074OCO3

2 .61940JI-31 .614.03937 -.385tS2734u -01 17dO9dd-- .0117C09,38 -.000000000 S3..........61903)~ .. .61403437..-.279U91599 ..- 0 1 7dU9dd . .0117809 18 00000...............

4 .619413,s33 .61'"403937 .000000000 -.0117809d8 .01176096~8 -.000000000 5------------.619,.Ojv33 .61')403937 . .2714U91599 ___ -.Ollld()98d . .0 1178098d 8 -.030,000000 6 .6194033i .61'J0393? - .3d5' ?7346 -.011i3P09dd .011780'eg -.000030000

-- _ _. 3 35 4 G.: e' .____ 3 J 5 40 3 20 7__ .0000000 0-0 i4 4 10U4- .010A 4 47' 4 -.000000000 _________-

a 18, 5 j3 6 6 29' h3 .0o0u0000000o u -. 6o')30 2 1b I . 0 U 930 27 , - .0J0 01)0300(0 q __ .1A~-I .01 O

13i5a10.__ -. 4117j9891 __ -. C0030836015 ____ OQBOb6OIS -. 0OOOCOOOO

10 .01733,')1jj .011335?10 -. 3223O85b4 -. 0O~d0ThUI5 -. 008066015 -. 000000-000 - 11 .017335til3 .. 0000 -iJ~1 ------O-.ui~ll .008006015 -. 000000000

12 -.0 720.!,1 -.0t)6/20451 .OCOuOoO0O -.O9boIi43ti5 .0bb14365 -.000000000 _______ ~. 0 0 903 1 -.-. 00 G0 6 122 6 -. 000053330 . 00001b?3 -.000000215 -.0o0130553 _________

is )9 7?56ubI3 -. 0t,11oJ5537 . -.0W3U81390 G.0Uoezf,,41 7 *0UC020;,t -.0'00005333 115G CQj . 1 )a or' 4 1,39 .00 00-.0 0 26 f)2 91 .0o020eo? ) -. 00 0 90 U 00

17 n.- . 6- -C 0 t. 13 ~-.0/0J6 .05856 - U441 .0e )0? 0 .0063 -----.000053000300.005

* 1 .~0 -.OOIjjoiojl -.00O53133 -.0o02n.d'1 .060060200 .000003603

23 Gf0ouj0* ? -.001550O613 .UOSU61396 -.o00250280 .000249417 -. 000006033 24 . -.00c,51,426 -. 0090031 .00U003330 .0(19)030215 -. 000001573 -. 000003.53 26 -C 326e'7 -. OiJ.20.')7 .000000000 .o00de12 -. 0000e1252 -.000000000

.- 27 _ -. 05 720,l1414.-.Ojlj I?14 -. 00000000. .0004!9018 -. 000419018 C.000O00O0) 2a -. 1100201i;1 -. flJ~e75239 .0003000C0 .00042'9ti9 -. 0004295A9 .0000.0000

3"- 112o 2 -. 0o0~z7Se:9 -. 000000000 0 .0 It 29b 139 -. 0004.299509 .000cooloC .31 n I d.6 u I1 -. 000050?245 -. 011895234 - O0042L)1,??.-.0004295;13 -. 0000019q33 __

32 0.03000u000 0.O0kooooooC -. 01d209833 0.000000000o 0.000000000 0.000000000 - - _33 Oooot3,e-6 ...-. 0'0186017 0 -. 11 895e3 - - 0042956J.-.U0t95 77 .000001833 __

- 34 0.0000O000 . 0.000000000 -. 01eB0'8 0.o00000000 0.000000000 0.000000000

________ .0624 Q..0~t~6O~00UU 00Q~. .0O4~" - -. 000444a87- - 000o0 O ____- -.-. ____ _______

36 Olq..0o37 *oii#01637 -.000000000 *o01'.q2j001 -. 00044.2901 .000000000 37 - -.0317 UJ u9a, -. Oil190438 .00O00000 --.OUU6OJl58 .000603158 - -.000000300 38 -.011797184 -. 0117S9769 .00j000 -. 0002bJO07 .000263o27 -. 000000000 39. .01-021-,oI9 .00t)410)37 .22J37L10 -.0OOB.00)4o8034931 .300179545

40 o.ooooOUoo 0.OUouboooC .21t03 .0000 .000000000 0.000000000

42 0.000000000 0.001U00000 .241d6023o 0.OOO0OOOU0 0.O0OU000O 0.000000000

"QAL PARTICIPATIOA FACTOH IXI) = .7535Jd6E-01 t'EN.W4T. TIMES MUJAL P~ART. FACT. I) = 6.9053607E+03 ---3JAL PAPTICIPAT!UN FAT-R (W) .= b .7535-386E-O1.GEN.WT. TIMES MODAL PART. FACT. IX2) a 6.9053607E-03

0. ATICIPATION FACTOR (X3) = 132dE-13 GEN.WT. TIMES M'JiJAL PART. FACT. (13o=I6353936E-09

-- -..-- - -- -- -- --- - - - .-.................

Page 164: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

! ____. 40!)E .'ARL!-EIGEN.VLCTOq.).-

NUJ NU8EI 3* F~EeENC *62.206745 *GENERALIZED WE14HtT o 24014.945 - MAX(!MUA ROTATION . IS AT NOUE -36' OuUF =5 VALUE . 14318OF-01. - MAAIMU14 TdANSLATI0N 1S At NODE b OO0F I VALUE .1000OOOE.01 S- 00?00*0ThRANSLAT1UtS 0 0* 0 ~ 4nQROTjAN~(10AS - dOCE Al 2 TI4 (ADIANS

2 .041262614 -. 04JI10555 .021673468 .01)084494 .000844991 .0085 U 3 . 0 ' . i ~ o 2 q . o ' i 1 7 q s ~ .O ~ o I 7 ~ - - * 0 0 8 4 9 . 0 0 0 8 4 4 9 9 1 . .0 0 0 0 5S d 2 5 8 4 .043170-35b -. 04317O~bS .60000000 0008o44991 000b44991 .00009b25R 5 - 0445U' .1,2 -.04-!170555 -.UdO 17840 -..*091Pi 4991) - OU0844991 .0019----- - --6 .04*0'S7-3Y? -.04_'jo555 -01?4d .OOi~d4Y91 .00084,4991 .00oocseasq

.03'0-~5 *0u~95S .0000o000o .0005733i.i .0U513341 .000058258-9 .036'.7 .003465481--.QOoOOOOOU .___ O044#124' 00..1'S .00is5 -10 OJ03'.s2143.P3321 -.000000000 .0004412'.5...000441245 --. 000S8258 -11------ -) -2Id244 . .00O'ye22.4 .00oo0t0c00 .000441l'.S . 000441245 .00ooSO2se - -.-12 -.014731t!32 .014731832 .000000000 .0uoe~1bI .o0u263161 .000050837

15S .o'.;iW,'. .011du165 1 -.04t696h2 -.0Ue3e9362 -.002503435S -. 0000031;?5 -' .16.......0 1i2e~l 46 _-0I'-5151#b .000000000 _-.001'5031543..-.002503543.-.00O18U~9jO 17 .017701-J03 l.01661,55 *O4t~d696d2 -.00O23d9362 -.002503435 -. 000032710 14 i . ouo299103 -. 0-J146,334 --. Odoti3331 _..0044bb.6 __ 00O0004fl7 -- f0(001363 .- 21 .0141j'.0 212?3 .0005133311 Oouooos ~ .0000U4486 .0000o01282 23 0 16 7O

66 j4 -. 01'170190~3 -. 04i8669682 .0 0e 0 J4 Js -.0023819362 -.00003210o-

-___ 21-~ _. 'OL11451334 -. OJ 20 7b9..-.00uoi331 _ O__U48 .0000? . 00044At)_ -.000001363 _ 26 1.0c300oo 1 -oocc.50no .00000000o -. OOub44f6 -. O064b~4736 -.000292862 - * 27 - ..-. 2~.21q2171 -. 94211?0 O.Juooooq . .10 0t8d2 *1320o0682 .. 000b6BS51. ~ ~ ~ -__ 2A .0io 3 -S439171 -.b95u2320J .01J661100 .013661100 .-000590187 0 ,15 .0 eo54-3i - *'*$314i ~ 0156110 0. 1 36b 10 0 00 05'107__ _____________ 30 .017913(04 0 -.1/PI' 3OU' .00003000d .01J6611uu .013b61100 -. 000590187 S1 .0

16056,-19 0 ___ o1.3,S 70 .372?9 J.a-so660729 ..O1J660915 -.00(0591075 ----- -___ 220.OC.O30ouCo 0.00U000uo .401712561 0.O0u0oOO)UU 0.ouOu0QO0 0.0(100000 .33 __-. *0 U13 5:)7 0 .-.01056219. _ -.378j273290 . .O1J~U915_ .013660729 - .000591075 - -34 0.033000000 O.OJU-)oouo0 -.4077125Co1 0.Ob)uooot -uOOOO OuOOOOOGOo 36, -.Si 01Jt,47 *6-S?)12'. 000.--.--.ol0318 .01'3U355 -000590 190 36

________e4 . 37 0_ 129SH O . uOuuuu .u1~s~ uLip OOOi~ .-01919 -. 01719 -..-- 000______530 38 .1-)027Y1d3 -. Iji2i9lcl3 .OOO0OOGOo -. OUJ614015 -. 003674015 -. 000039025 39 __ .001630j54 ..u1,39. .012223621 .00044124.2 .000441326 .000058794 __ 40 0.000000000 0.00200jooio .01.111467d 0.OvuOoOou 0.000000000 (.OOOoOouO -0Is3 .. 0 t 3 0 354 -0 1 ?.2 3b2 _0O441J4____ O00044?42 .. 0OO5794___ _______ __

42 0.OO0DOU0oo O.Ouuuuoooo -. 01J17467d O.OOuOoOOOO O.ououOOOO 0.OO0ooooo0 M4oJAL PARTICIPATIC~l FACTOR (XI) 4.5-5760E-01 GEW. .d.,TIMES MOJAL PART. FACT. (XI) . 1.0996636E.04.U03.L PAOTIC!PATIOJ FACTuw (x2) = -...5676oE-01 GEN.Wr * TIMES MOUAL PART. FACT. (X2) -1.0996636E 0 4__ 4' UJ.4L PAkTICIPATIW-; FACrU4 M)3 = 5i.005fad42EI1

2 GE-4.w. T!t4ES MaIJAL PART. FACT. (X3) 1.2051169E-07 -__.-

.......... ~ .. ..------

Page 165: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

____ MCL) SH~APE !fIGENECT3RI _____ _______

w~JJE NUMBER 4 9 Fp<El:UENCY =62.276661 ,GENEkALIZrO WEIGH-T a 47.9 -M'AXIMUM ROTATION IS AT NODE 36 *OiUF =4 VALUE = -. 145669E-01 *MAXIMUM TRANSLATION 15 At NODE 26 OOUF =2 VALUE = *IOOOOOE.01

------------ ~ ~ @TRANSLATION -O145'.* RO0*=0 ~TATIONS (RAOIANSI 0~oo* -

AlLI X A2 X3 X6 A ______~~1466 694t3_ B10q3 - 0000O.-0O 123 .000810123 .000000000 ___

2 *0'.)295011 .0'.~2'~S07 _.200SS00 ___-,00076J.01635OOCOO

3------.. 0295U 17 .04.-29toI7 -. 01H163943 *-.o00?6bb15 _.0001.673i .00000300 4 .040295611 .0.j295017 .000000000 -.0007664Its .000766?35 .000000000

-5 . 0'-029:iu17----------J501 7 - .0l'AI394J -. C007667.1t - .0U0166735. .000000J00 _

6 .04021)51)7 .04J0295017 .02'311055,1 -. 00U760ISS .000706735 .000000000 ____ ________ .02u0~'4S ~ IU0i6'. - .0030000 -. 0006 71473 .000611473 ___ .. ooooo0900000__ ___________

.O00413456 olv4'134.i6 .U000 00 ---. O0UA,4919 *----0005149i9 .000000000 9 -- -- -_ -.O00909~J30 -. 0I,496S73e -. 0uO3;21U0 :000392100 .000000000

10 -. C0390?-s00 -. 0Qj90U7300 _.0I15t.291 06 -. 0003';eI00 0oo3-)2ioo .00o0000o0 010 1.) ._ .QP0 13 00--. . J0 9073o00 _. 000 000000 -. 0003,2100 .__ 000.92100 __ .000000000__ __

12 -. 012LiuJO -. 013Z17307 .00000000o -.o0022:i6*5 *0'J0223675 .000000000 -_____ 14. .~'2I~d0 .o0472 001416 -. O()0004'.s0v .0O000505 .__._.00000 1332 __________

!5 Olt-zj2o30 .04.r~o03b83_ .0023Z~36144 -. 002SO0063 .00001454.2 16-0,3d13___..1Jej. -. 000000000 o__ e05oal7e -7.002500172 .00OO00U00

17 .01a224t)29 .01668203U -. 04H03883s .oo 3db'4 -. 002500063 -. 000014542 18 -Ooai0- .001417'. 2- .0s23 - 0t$o4

9 .0000ouos5o5.-.000001I332 ___

-' 21 .001'.77422 .0021696U .000512639 -.000000505 .000004509 -. 000001332 2 ? - . 31') 4j3 .0 1 -4 5 ,2 . O0 3o8 3.. 3 o 0 l 50 ou63. .__-.002366144 .0001454.2 _____________ ____

23 .0I6acfe430 .016224529 -. 0484i03883 *00e5oo0oj -. 002386144 .000014S42 2 4' .001471,.22 .0u.)16gdO -00o0612639 .-. 0000005u5 .000004509 .000091332

2) 1.00ooujo 1 Iovuoooooo -. 00OUo'Joo *ouut.ill2d -. 00U571128 .000000000 27 _ ___ .234251418 _.2J3e514l8 - .000000000 -0 13406tb- __ .013406696 .000000000 28 .00545S*I22 .005459122 .000000000 -. O1]ado2,e .013db0227 .000000000

____2 9.___ .00 5 45 11 .0i.)5 512 2 _____U0 0 0 0 00 0. 13 80?22.T .013 80d 7 2 2 0 00 0 r,0 () ~ _________ 0 0 3o .00'59Ie2 OU 45S91L2 .000000000 -.013?1 02el o04d4o2?7 OO0O0OUOOO 31 .004'ifl3?53 _001453270 - .38440690- - .1387,io-a 1 01386~0639. .00304d21l ____

22 0.00000UU30 0.Ouuu)o3000 .414?52374 0.00w 0.000000000 0OOO .000000000 -- 33 *001.5-i~7 0J~t3?53 - 384.340890 _ -. it!0039 - - .013679551 --. 0421

-- 34 O.0.OOu:T0 0.001000000o .14e52374. 0.OOOOOOOou 0.000000000 0.001)000000 _35- ___ . 172c5J3 .2 It 72?.3i.__.000 000000 ,0 14 1 ~~ 14 1 3 28ci6,..- -. .000000600_________________

36 6.87?3-,o4 -. bci;e35854 .U00O00000 -. A1456od~d .014506888 .000000000 37 - -. 01?01juv 3

-.oi4UIJ893 - -. 0011000000 - v0u95674 -.001968674 .000000000 3P.1jo0S13it .I0Uslslsl -. 000000000 oo03669bci6 -. 003bb9686 .000000000

39 -.-. 00066i1 0h -. 0002020.. .0108S9539 -. 0U03j2l6'.- .000392131 -.-. 000006732 40 0.00000cooo 0.o00cooo .01170458d 0.000000000 0.000000000 0.000000000

4 1- . .l.__.-. 0020 .4 - . 0 0 ,63 1so..0. oo 19 5 3, - !-.0 0 2JI jI . 0 U03 9 2164 -- . 000 0 0 67 32 ______________

42 0.00c00'v0Gu 0.0oouoo.000 .011704582 0.000000000 . 0.000000000 0.000000000

MOUAL PARTICIPATION FACIOR (At) 4.461380E-01 GEN.wT. TIMES NJML PART. FACT. (Al) x 1.0787096E.04 MOJAL PAP1.1CIPATIO'l FACTOR (X2) 4.4613800E-01 - EN4.Wr. TINES MODAL PART. FACT. (X2) = .1.070709j6E.04 -

M4OVAL PARTICIPATIO;N FACTOR (X3) = 3.1173oo5L-14 GEN.WT. TIMES NOUAL PART. FACT. (X3) x 7.S374L97E-10

Page 166: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

MUE N'J43ER 5 9 FKEIUENCY =74.628537 ,GENEWALIIE0 WEIGHT1 22900.282 -. . . . -. MAAMMU4 ROTATION . IS Ar NODE ?Z *0OF =5 VALUE = .312944E-03

OMAXIMUM TQA14SLATION IS Ar NODE 36 ODUF = 3 VALUE = .100000E.01 - 00*O0099900 TRAN5LA1IUjS - **9009--990990NTATIONS (RADIANS)

-,ODE X1 A2 A3 A4 X5 X ____ ___.OoooO ...Ouoooo ..841254e0 _ __'0U000000_ __-.,0000U0000_ __.-.000000000 _________________ 2 .000O0O.uqo -. 000000000 .473d82619 .000000000 -. 000000000 -.000000000

3 opaooa - OOOuO -.00D000000 -*..473882619 .OOOOOUOOO -. 000000000 -. 000000000 4 .0000O000O -.000030000 .473882619 .000000000 -. 000000000 -. 000000000 5 ..... *OoO . . .030u. o1) C C 0 0 ..473da2619.. .~~ -.000000000 .OOO -.000000000 __

6 .3000OU0O -.000300000 .413Ai82614 *ooUo~Uou0 -. 000000000 -. 000000000 7 .0002000 .00000 .63945 .000000000 _ -. 0000000_- -. 0001)00000

8 . *00000000 -. OJU0OO0oO .452e43694. .01)000000 .00001)0000 -. oOo0 .000,0 -. 9.. 0 ooOO uQ)o.- G0,jOf)O. .. 42 34755)8__ .000000000 __.1100000000 _.000000

t0 Oooou. Go -. 0000OOO0uO .433'./558b .000000000 .000000000 -. 000300000 --------1....... _.OOO0u(OOO ..-. 00C.000000 .. 334755i8d OOUOUUOOO .0OUooooo -. ooooo9foo

12 .00300oo -. OuO'000600 .4147074t01 .0000000 .OU00O -. 000000000 _______. O-jL~..0O0U7S____0l7751l7_. .000021 - 69 ___-.o0000 000_ 7.000000000_ __ ____________

is -. 00')0O0000 .00U00 l31 *2097b2160 -.00031294. .000000000 - .000000000 1b......-.000000U10.- ou-0O00000 .2ji~i27514 .00u00000 .000000000 -. 000000 _

*17 -.02000J000 -.000007089 .2091'52160 .0uU2I1.,s4 .00o000000 -. 000000000

18 .. .-. tOOOOOO - .00r, 1,0735 -,.00 17 750 87 .00U0,11695 -.-. 000000000. 00000 21 .coo07j35 .0u."00000)0 .0011760$T -.00u000OO *0o00?1695 -. 000000000 2_.______00007oJ..00000 e__ 97521b0..---00..O(VO O---. ..U0l3I2944_._-.0O000000__________________ 23 -. 03000ov .000000000 .260Y15216u .00000000)0 ... 000j12944 -. 000000000

- -24......-.0ao0~u?3t .0Uoooonoo0 ___ U.!715087 ..--. 0f00000000 ..-. 000021695 - .000000000 26 -. 000000000 .000000000 .bbg7b')99J oo00o000 .000000000 .000000000 27 .,.-.00000JOOO .00C000000. .. 951611972_. -. 000000000 -. 000000000 .000000000

28-.OOOO3uoo .000000000 .967490830 -. 000000000 -. 00000 .000000000 _____29 . .C0o0 .. 00 0000._ 6 490830. .. .000uu00._ __-. u000000 __, .00n0100000 - -___________

30 - .0000000 .00J000000 *467'.90810 -. 00000000 -. 000000000 .0000J0000 31 - -OO~~.00000u00 . f __0 .9u7I4,0430 -. 000000000. .0000, .0,30.

32 0.000000joo 0.00000001)0 .9611.90830 0.00U000000 -. 000000 0.000000000 -. .33 -. 000000000 . .000000030 .9674.90830._ -. 0.oooooo . .000000000 .000000000-------------

34 o.000ooooo 0.OuoO~U050 *967'.4Y030 0.0c000(0 0.000000 0.000000000 _25 - --. 00000060O !toouo00oo0 .9833o968)__-.O OOOoOO -----. 000000000..---.000000000 ____________________

36 .000000000 -. 000000000 1.000O00000 -. 000030000 -000000000. .000000000 -37 C .. 00000U00 -. 00300000...2t)1448541 O0U000O0U0 .000000000 -_.000000000

,;a.00000 .003000000 .2672S'5574 .000000006 *0OOoO0o -. 000000000 39 -.. 000050000 -. 0000000 00 ... 43347S)Sbd .000000000 .000000)000 -. 00000000f0

4 '0 0.OO0DOU0O 0.000000000 .4J347551n( 0.OUOOOOO 0.000000000 0.000000000 _____ L ____..000.00...~-0O0t~f00 '.3'7583 .00000 __ .000000000.. -. 00000010 ________ ___

'2 0.0000000 0.000000000 .43347SS88 0.000000000 o.00Oooooo 0.000000000

4UULPARWTICIPATION FACTOR (XI) =-1.53'.I/02-12 GEN.AT. TIMES 14DUAL PART. FACT. (XI) c-3.5133113F-08 M.3aAL PARTICIPATIONI FACiOR (A2) = .S13'./53E-12 GE.N.WT. TIMES MODJAL PART. FACT. JX2) .J. 46590 1 I-08__ __

.2 004L PAQTICIPATION FACIOR MX) = . 1.4833630E.00 GEN.wT. TIMES NOUiAL PART. FACT. (X3) = 3.3969432E-04.

- -. -- ~ i~ --------

Page 167: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

M E mq R 6 Fk400ENC 9SrA (E0EVETR - _---6--~iE~ WI H -_ _ _ _ _ _ __ _ _ _ _ _ _ 9 FN0uEc GENRALI5ED9E1I7

- .- - - --..-.. -*-M.~ 'AXIMUM1 ROTATIIN IS AT NODE IS 15 OF = 4 VALUE - -. 193Z13E-03 ~"MAX1mM- TRANSLAhTION 1S AT NOUDE I Or = 3 VALUE = .IOOOOOE.01 - -. -. - -. -00-00 XI-A2 A3'. A4 - R TATIONS (RADZANS) 0-*..0.*.

0 0 0 P A S L T U O OOS O o o o o o o o o o p - . 0 0 () 0 0 0 0 0 0 X 5 .. 2__ -.OOOO -.oouoooooo *--00000000.0 .Ooooo00oo ____-_________ 3 - . -. 0 0 0 0 0 0 0OO O - . 00 00 0 .9 70 )64 2 9 - .0 00 0 0 0 0 00 .0 ooO U oooo *Ooooooooo -4-.0ol8I,9000000000 .00000,m:00000

-. O00cOOOo -. OO.juOU000 .9701864.24 -.000000000 .*OOU0000 0OO0000oo 00 5 -. 00oriuu10 -. 06uu.uuu.901864 . 5 . - -. O O0.'O 000 .. t.O I u (o 0 o .9 0 8 4 9 .-. 00(j ouu uju *o0Oo U oooo 000000000 6 -. 0C'900J00 ~CUE~u00oo .9/Ulab4e9 .OUUOOUOO *000)'JooO *fOOO IS0000 .0000 000 00 -. 00j~ .00U000000 .62)b4 .0ouco0000 .Cooooooo_ __ a - o 'o.- 000000006 10 . .uooououco .ouooollo .deb175491 .oudoounoo .00060ooo .000000000 1! ... ...-. 0J0u~u0 Ouuucoooo .~.82bi/5c491 -- Oouooooooo__.uooo 00000__ *OuO~uoo .0uOOOuO .7514252 .ooooooo .oo00000o0 -000000000 ...- Jk ~ li ....-..' ~0o ____ OU 0jI3S .759405d -. 0001s008 -. OOuo(Ooo -00~'.000000_________ 15 -O000'U0G 00204d 1.9 7 8 1ij -00013 j,, -. O0000cJooo -. 00000J0000

A...............l~uo .:000)006000..14500992d ___ :00000000 ---. 000000o -. 0 01100)00___ --..- 10s.- ..- -. 30OVijO1jO - .. ). oJ135(,._.00109~7080 - ----.. .cuulj4ud-....-,-.-Ooooooo *Ooocoo 21 .0000313b6s .0U>Joc-co0 .O0lo')IO~o -. 0000000U0 *00OU13408 -. 00ctj000000 *O~oc!!-0G'3-'000000oO

0 U0 19 3413._____o___ooo_________ 23 -.000jt~jal .OK00jj *2o~N~ -. 000oo0o- -. 000193413 *O00000o00 24 -. 0Ooi3ji *OOkjO000 .001097080 -. 000000000 -. 000013408 *0C00 _ --. ---- '

26 *000'O0000 -OOoUtOo0Oo -. 29Idb275e -.00u(JOU 0O -uou~ O -.000000000 27 .Io 0h0jUjoo _.OIjuonOo6 . . .0 00000 -. 000000000 -. 00 00 00-C 0lO O l.eI7e.844 . 0 0 00 *uoioo~ q oooouoooo -.000000600 003:oto.,o -.0uOI)ODOO~ -. 631071449j OUO~UOOOu .000000000 -. Oooooooo 31 .O00t'uQ -. OoJ063000 .6. . 0.3I78449 Ooooo .0000oo00,0 -. 000009000 31 0uooO oiooo .3. 44 0.0000t00OU0 o.0000o0o00 0.000000000, 33 G. 0 U 1jCooo. -. 00OUUOOO . -.631U7844, .OOUOOuOrO .000000000 -.000lI00000f - .4 0.0Cooooc0o0 0.03000000o -. bJIO 18449 0.OOUOOOOUO 0.O00o0o000 0.000000000 30 ,0t)(o 0. .00C00000 ..-. '317444 .00U00Q000 .00O000000 __ -.000000000-______ - 4 07... .0000005 0 .00000 .6*310?704 -. 000000000O -. 00000o000 0.0000 * CJC OOL00 -. II3QO40 . 10o I . uo o o o . 0 00 0 0 -. O OOoooo 39 _____. - .OoOoo~osu_.826115497

* 35 -. 005000000000 00J000 -. 6840e 000000 000-37 -oooo) ,ag .01iu~ou -0000000 .00C09000 3 a C O O U 6 0 0 . 0 ' U lo o o0 o 0o3 * 2 6 7 4 9?j . O O aUO ,O o' o . 0 0 0 0 0 0 0 0 0 .0 0 0 0 0 0 4' .. oioh(c0 0U 0I00I.. i I~s 4 ____It - .OoUoOOOOOO ... .O Ooo oo ___ .000000000

42 0.00j- 0oouuOQOOUO *26 175497 .000000000 o..oo0oo ~ 0.000000000 4OULAL PARTICIPATIO'l FAtJO (XI) = 2.30.300i2E-13 GEN.wT. T1MrS MOUUL PRT. FACT. (Xl) z .931,7639F-04 -- U04L PA4TlCjPATiUN FACTQ~ (Ae) =-3a39552/7E-(J GEN,.wr. TINES MQLJAL RPT. FACT. (A;>) = .S~33Ec ~'ALPAT11AT0~ FC~a(X) .68U0E-j GENWT. TIMES MUOJAL PART. FACT. (x-) = 1.203 570E-04-

Page 168: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Appendix A.3

"STATIC" OUTPUT

Page 169: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

d E G I -N INPUT LOAD CASE NO. I TI ILL( UEAUWL14bT LOAU CASE

NJ.JAL POINT A0PLIEO F0,cCtS FUR~ LOAU CASE N6. I

-- NOVE Al X2 A3'X AS - A

7 -0. -0. -6.1u8OOOL.OJ -0. -0. -0. )3. -0 _ _ - - - -3 .82ZOOE-0 J -0 . _- - -0. - -0 ._

12 -0. -.- 9.792000E.03 -0. -0. -0.

-- - - 2 -0. -0. -1.0593OE-04 -0. -0. -0. __7_____0._J0. -0. ___ ______________

35 -' 4.OOOEO O -0. -0.

~ ~ ... -.-------~2.O~000E04 ~ - -0.---0.--

.) N0)AL_.P0INT__APPLIErJ LO~ESAU/)R.UL!P MLTS FINAL SUMARY FORLOAD._CASE N.1 I

COCE I IN. COLU'4N Z0 OF T-.L STATIC CAkD.

FORCE AND MOMENT SUMMATION A B-AOUT A AES. PAALLEL.To S.ySrEm-AAe _____ - ___

_' Ir UP-I,,IN AT P uINJT (0, 0,0)

____Al )_I.rLJ~i - D 0*L ED - - --R -- - - - - - - -- - - - - - - - - - - - - - - -

FX 0.

pmx3 = 0.

.. ...... . ...

_ _ _ _ _ _ _ _ __ _ _ __ _ _ _ r ~id

'-..........

Page 170: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

CEA54EIGliT LOAU CA SE -FA . _E LE M EN T 0ADS FOR OUTPUT VECTOR I

AXIAL SbEAR SHEAR fOSiN BENDING BENDING .. LOA -LOCAT IOu. P __. _v V3 Mr _ M2 __43

fi .N00E--PE4CE!NT.

I IJA 0.0 5.13100E*03 -1.2b'31E-13 1.89514E-11 2.48506L-13 5.5402SE-09 -5.38)04E-12. PIPEG - -1- Jq .10.0 - .- 5 131 * l 6E- 2.4 0Ezl3 -6.0762C-09 1.74673F-12

Z .3 JA . .3.0 1.76612E-11 8-2.821E-1. 6.27414E-3_.....4S81E-.13..-1.1372(-11 d.519AbE-10 PIPEG e 2 J4 100.0 -1.76612E-11 2.b9 621F-11 6.27 41j4t-13 4.45t81l-13 1.68216E-11 -1.61399E-09

1 C-3 JA 0.0 7.88,1,E-11 -4. 0417E-09 -1.501 49E-12 J.78424E -11 .499!4E-10 -d.99911E-08 bEA40 :i . 8.J 13 0 -1 26161-A A50417L1t3 1'.099-12 -3.78424.-11_ - 1.3b4(-1o -3.727Th-08o3_____________ ____

0.0 1.33t0'F-10 -1. 149E-09_ -3.34743-12 1.66-11.-7.3143E-12.7.20169E-O dEA G 1 4 5 J-3 10).0 -1.3te0CE-1O 1.bdl49E-09 3.34/13E-12 1.88d65r-lI 8.67320F-11 -1.01600E-07

5 JA 0.0 s.2?58iE-11 2.77eo3E-11 -I.153b9E-12 3.54d40-12 -6.60V78E-12 2.50R33E-11 PIPOG D J 1 P14 G -. 2 ?5:i dE1 -2.7.Z249 1-1 _--I -1.5309 .12 -3. 5 d40E-12 1.70612 -11 1.9 177E-10

b-.4 JA -. 0.0---. 5.13100E*0- _3.38-347-11 -1.3554.3-10 9.9,'2-11 -2.d4972E-08 -1.445%4E-09 PIDEG 0 7 J8 100.0 -5.13100E*0J -3.3d8327E-ll 1.35'54JE-10 -9*924eE-11 3.151JIE-08 2.19862E-09

1 7 JA 3.0 1.12390E.04 -2.915d1E-1 -1.177odE-10 6.50710E-11 -2.4150E-08 6.53934E-09 PIPEG P J ..110...0 -.1132.E.*0 Za.JL~iIAll . 17768E-19 -b.50710E-11 2.529i09E-08 -b.8191.E-09 ____________

8 JA 1.0 1.506h0E*CN -1.c7035.-11 -1.053bbE-10 6.39042L-11 -3.44169E-08 -J.9?603E-09 PIPFG b 11 J3 103.0 -1.50610'0 1.d70ti5E-11 1.053o6E-10 -6.390t2L-1I 3.58921E-08 3.66415E-OQ

10 JA 0.0 -8.73308E-lI -4.90035E-10 6.41944E-12 3.207148-10 -4.s0lbAE-ll.2.60274E-09 PIPEG 2-- S J± LQ . 0.7J3303L-11. 4.90 5L-10.-.. ' 9'.9 1 2.915Eri -1.0871E.1. .. 113Q.E09~~________________

10 JA -_ 0.0 2.29644E-10 4.852'.'*-09 3.25976E-11 2.57145L-01 -3.041SOE-10 -3.0801YE-08 HE4MG 10 11 Ji 100.0 -2.296V4E-10 -4.65248E-09 -3.269/8E-11 -2.5714iL-08 -6.1686SE-10 1.76260E-07

11 11 JA 0.0 1.50610E*01+ -6.933/3c-10 1.903d2E-09 -2.167e7t-09 -1.74384E-07 -b.24097E-0A PIPEG LL 2 J 1.. .5j6i10E.09A. A.911L3E. 11 -L.9 03dd2LrBS 2..157.71 L109 1..41149E-0. i.210 1 5F-08__________________

14 i 12 JA 3.0 2.40S30E*C-.. .6993331E-10. 1.,03u8E-09 -2.16721E-09 -1.41740E-07 -5.27003E-08 PIPEG 12 37 J3 100.0 -2.485J0E.04 6.93JJIE-10 -1.90308E-09 2.16721E-09 5.92406E-08 2.04604E-08

13 13 JA 0.0 1.524bE*04. 1.36,64E*01 b.26039c-11 1.59517E-10 -2.683,2E-Io -7.45180E*04 -BEAMG--L3_ LJ.I nA.La 1 2 * 36 7s'ttt. .2011.. 1- i.L ..7! 59.1 1 -l. -.. b 2i E-LL 7,45873E 0_

1. ..15 JA - 0.0 _1.3690.E*01 .1.52498E.04 5.bo2uE-11 -1.2J17tE-12 .-3.5b797E-l 7.02853E*04 BEANG 14 14 J3 100.0 -1.369o4E+01 -1.52498E+04 -S.602b9E-11 1.2317E-12 -1.764i8E-10 7.45873E.*04

1 15 JA 0.0 * 1.36964E*01 -1.52408E*04 S.53906b-11 -5.734lLO09 3.S7t7E-10 7.02853E*04 BEA-G 15 i 6 JA1Idt-0.9 6J-L-l599034E.*RI.O l__h____6E__94- 6 _10 9 3

10 --16 .JA.. --0.0 1 .36904E*0L-- 1.-. E*04.....-3.76973E-1I 9.1364eE-10. .101/8E-10 4.13405E*05 HEAMG O lb 17 Ji 1C.0 -1.3190.E*01 -1.52498E*04 3.769/JE-11 -9.13042L-10 -6.19881E-11 -7.02953E-04

11 17 JA 0.0 1.3n9f'L.0 .1.244iE*04 -J.701i9E-11 1.4410/E-12 6.14558E-11 7.02853E+04 BEAMG ...o..LI l..10. 1 0 -...9.1 + 3,10 1i9-11 -1.44101E-12 2.8416F-1Q 7*45873E*04

to 19 JA 0.0 1.24')E*04- 1.3f134E.*011 -3.3631-11 -2.6695L-10 I.72267E-10 -1.451HOE*04 AEAMG 18 18 J. 100.0 -1.52.98E*0' -1,36904E*01 3.3b395E-11 2.6boubt-10 -2.05115E-12 7.4587JE*04

1 20 JA 0.0 1 .52e49E*04 1.I690.E*O1 -4.75815E-li -3.36300E-0 2.46d40w-10 -1.451H0E*04 BEAMG IH 21 J- 100.0 -1 cnn.'-a. l.-lSl.nt 7''t'.-11 . -60774;*.-1. 7.45A7tr.i,

Page 171: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

II 1 JA 0. 1.0 0 *O 1.:> 14t.*0)4 -J 10oldt. -1 .4 41 0 rL-1 6.t4"k ' M -ItI 1GodreJtau -0 M.4MG P _ 1 J4 1 O _I * 1. _. .01 i . 10__-_2 .0 . S73E* 14

1 I" 20 JA 0.0 1.24Y3E*0 1,36904E*01 -4.75815L-1l -3.36300E-10 2.46840E-10 -7.45180E*04 HEAM6 1 21 JB 100.0 -1.524983E.04 -1.36164E*01 4.75d15-11 3.36JOuL-10 - 6 .07742E-12 7.45873E*.04

o -t -22-JA .0.0.- 1.36904E*01 1.b24 -*0-.7577-1 6./d-12 .1.1bbE-10 7.02853E*04 UANG eG 21 J- 100.0 -1.36964E*01 -1.b241)E.04 4.75177E-11 -6.0312JE-12 3 .36161E-10 7.45873E*04

ei 22 JA 0.0 1.3b90SE01 *1.529h6e*04 -5.83530E-11 -1.361bdE-O -1.4761HE-12 7.02d3F*04 13EAMG 0 -----16-JH 4).0 -1.3 - 01-.-- 1. 29i! t o 0 - .').83500E-11 11.j2.1.6odL-08a - _. j1448EnU 02 = .1403E*05_

e2 16 J4, 0.3_ .. 1.3690j4E*01 1 . t24 dE*-04_ 7.6291/5E-11 1.35t>79L-0f8 -2.014e7L-09 4.1340DE*05 HEA 46 ed 23 Jd 100.0 -1.369L0 E*01 I1. t2** 08E *04 -7.629/tbt-11 -1.35574E-08 2.97i/6E-10 -1.02853E*04

23 JA 0.0 1.36964E.01 1.20E04ao651J7E-11-6.04JOE-12 -4.034t1E-10 7.0285JE*04 HEAMG-23 J 2 Jo 10.0 .. -. 36 thvl. -L.. L-*E04 -t.U5131s.-1L [email protected] .. 1D.9E-19. 7.53(*o4 _________________

S 25 JA 0.0 j.29 * .:69'j4E*Ol S.(>S746E-11 2.?db7,jE-10 -3.4e942E-10 -7.45180E*04_ OFANMG e4 24 J-1 100.0 -1.S2,,.E*0 -1.J6904E*01 -65 7oLI -e?ddeE-10 b.0741E-12 1.4IF7E*04

) 38 J 0.0 -2.3 4 O *D0Lf -3.d2921E-11 9.727.U2L-10 -7.83J9S1L-1o -2.70188E-0 -4.3391E-10 PIPEG 5_/ -0 2-- 0-0LJ-k.0 -3*?397E-0 -e.17S75F-09

co 2% JA 0.0 - -1.33010E*04.-2.,dbe-lL 8.b08d2t-10 -7.jjb0n0-10 3.97086E-08 2.10303E-09 PIPEG eo 27 J3 104.0 1.33013E-0. 2.G86t-1l -d.608o2f-10 7.3106nE-10 -1.0346E-07 -3.64946E-09

7 27 JA 0.0 -6.015OOE*0J -2.39333E-l1 d.751Ji1-10 -7.21#234t-1o 9.44346E-0R b.7119AE-10 PIPEG e 3L1JS 10... 5..00000 2.2843E-11 -'.151 1-10- ?J.0A1..6691-Ero -000.vN-09

- 29 JA 0.0 - 414 E-11 -1.37 6E-.0q 4.b .2bE-12 -1.4361E-09 -2.25073r-11 2.27471E-10 PIPEG 2d 29 JH 100.0 4.41243E-11 1.37J:oE-09 -4.6922bE-l 1.4386tE-U9 -1.41891E-11 -1.01635E-08

29 *JA 0.0*- 676ou-11 -5.319iHE-09 -8.21542E-13 +d.1107*-0. -7.418783E-jI -b.53148E-08 HEAMG - 3 S100 A6.2EL 5.118- -. 1961 d101 0.1u & 9. 73942Ef11 I .*0t69E0 . -___________

.3v 30 JA 0.0. -3.3.1E-10 -8.J107C-09- J.37374E-10 -b.41134E-08 -1.018/0E-0A 7.90305E-10 9EAMG ii 31 JH 100.0 3.3i213E-10 8.JUJ?E-o9 - 3 .373/4E-I1 6.411JOE-08 d8.bl46E-10 -2.5S58bE-o7

. 1 31 JA 0.0 -2.d;30bE-10 -1.jo97E-1o 3.327t'AE-10 5.2277JE-11 -5.00391E-10 -2.61934E-10 BEA.1G -. 4L 322 Ja.Iso 0 5 .3Er E77lE--. -LL 0 . 3 7+ -. 1 E m21_LLm -*3J.d0 1 0 .693.Ejo01

_32 30 JA. 0.0 ____ 5.70242E-10 -1,1-0 -7.294061-10. 1.4/24L-08 _ 9 .33927E-09_ -1.98307E-07 6EAMG

* ! 33 J1 100.0 -5.73242E-10 17'87 VE-08 3.2940bt-10 -1.,.7724L-08 -2.18008F-10 -2.702h 1E-01

3 33 JA .. 3 -- .015IOE-IU 0. -3.06775E-10 -2.0247JE-12 8. 42080E-10 -5.82077E-11 MEARG - _z-J 1 0151E1 Q. __ ChilitalQ V_ - 0 1t-1 t .:00 21-10 2. 91 Q3dE-1.L

0 JA .0.0 _-o.015000 -2.89613E-24 1.72054E-C2 _ .. -6.77626E-21 0.. PIPEG 3- 35 J:3 100.0 6.010UE*O 2.89313E-24 -1.72034E-22 0. 1.3S525E-20 -2.11758E-22 O35 JA 0.0 -2.0coE*04 -1.b5436F-24 7.9093L-C3 2.04698L-23 -. 47033E-22 5.29396E-23 PI EG

-- 36 J- 1 d3 __2.__009 O-0. -5.24396E-23 .

o_ 37 JA .0.0 .2.850+0 -7.13llE-10 1. 916"9E-09 2. 1600c-09 -5.63757F-08 -1.32578E-04 PIPEG S 6 16 JA 100.u -e.48530o. 7.1397IE-10 -1.916/9E-09 2.10606E-09 2.41353E-08 1.249PIE-09

7. 16 JA 0.0 -2.3A9 0E*04 -3.317iUE-11 1.00646L-09 -7.73171 -lo -3.86366E-08 -9.50976E-10 IPEG L Lo J 1--3_Z0 Z J..QL.J*)Et-o 0 _L l l 006__l19 . 1.LT.--1 . 7.4uo__. 80079E-1 _________________0-S_ 0

3 11 JA .. 0.0- .910 -1.-2.3 01E-09 1 0- 7.d-08..6225E-08 39 J 100.0 -e.9103dE-1 2.930-'E:-09 1.168,3-09 1.65184E-.08 1.363-2E-09 -1.77456E-0i8

O l i 39 JA -. 0 1.121 t'3E-1 -8.73115c-11 1.0721 .E-09 S..,lI-.Ot-1I 2.OUU19E-04+ -2.32331E-10 1EA1G tA.0 Jd.03 . 21 .32'14.3E 10 -. 73115E-11 l.Ol1d-09?.-5.2?1Q~ut .. 2. 909. .03727710 -. _______

11 J 0.0 -. 13430-1u 9.08037E-09. ,91317E-10 -,.73311t-08 _-2.9461i0-0 -. 1.50118E-08 BEA'G _ C '.5 41 J-s 100.0 .31 Je3E -lo 9,. .Ho2,7E-09 -9.91317E- 10 2. 7ilLE-(08 2.0086E-09 -2.14843E-07

j 41 JA 0.0 -1. 14 /JE-0l 2.91ioddE-11 9.4717J-;-10 -1.01321L-11 -2.26558F-09 0. HFAMG

Page 172: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

.'A JA 0.0 1.<* ' *. l V4 .W-ls - l r s.t - o s.* s *mto v - - - .t st t *

00 A . 100 . Jl,? ll 10 I U.JLo: 1 1. /n it U I *io **. I~*ns't O I *0,tt- I I.l

40-.--11 ..JA 0.0. - 1e-9 3E133E-Iu. -9.0QW'7E-09 .91317-1 -. 7dt-08 -2.94b0f-04 -1.50118E-08 HE AG ') 41 J, 100.0 9.31Je3E-10 9.U1do7L-09 -9.91317E-10 2.72d47E-u8 2.00896E-09 -2.1484JE-07

-1 41 JA 0.0 -1.104-iE-0i 2.(,#1JsE-11 9.4717JE-10 -1.a1321E-11 -2.25558E-09 0. HEAMG 1 42 JR 100.0 1. 10 43E-ov -2.slU i.E-11 -9.47113E-10 1.67321E-11 -1.826/4E-09 5.82077E-11

OEAL.*EI^31t LOAu CASE

NAXiM4U- LOkd SUMANY FrO. H EAA ELE'ME NT LOA US FOH OUTPUT VCTOD I

A 1 AL SjMAR SHEAR rORhiN .ENDING dENDING P V2 V3 A dM

AAIHUM REA4 LOA:)S = 2.3 1.2*04 __ 1.91679E-09 8.101OIE-03 1.47739E-07 .1340E*05 BEA'4 NOS. = 3. 3t.). 11 16.

M-Mi BEA4 C = -2.a5sot 0'. -1 .52.s.aE*04 -1.9179t -09-a.1 iuItT-01 T.74384E-07 T3405E*05

- Ek4 NOS. = 36. 1. . 3. 29. 511 5.

-. . . . . .--..-----..--....-.-.--..-.-- . --- . ..... ...... . . . . - - . . - . .--.

Page 173: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

)EAU4E IGIT LOAu CASE ---- as- AL.M ..J.D. ..U .A-1 . .IN1 LOAL.1).Eftt JON UTPUITVEC!OR 1 ___. __

~'00 S - FAI FX2 FAJ MA1 MA2 MX3

JA I -. 124E-12 -. 1 1E-10 -.51JE*04 .!b4E-04 .539E-11 -. 24qE-12 J3 . .1E .1 1 .biE*.04 -. 60ft:-08 -. 1 7F.-11 ..249E-12

JA .. 62IE-12 117E-10 .49JI-10 ,b2E-09. .44Eal2 .1ill 10~~.________________ J9 2 -. '27E-12 -.. 177E-10 -. 290E-10 .161E-08 .446F-12 -. 168E-10

3 JA 3 -. 150E-11 -.In9E-12 .450E-06 -. 900E-07 .378E-10 -. 150E-09 JB 4- . .15uE-11 ,1i9E-12 *.0E-0 . -JId-07 .114.E-10-09

A 70E 07. .13W-1 / .743-11 JS3 5 .33:E-11 .14E-09 -.1khE-08 -.lu2E-06 -.149E-10 -.867E-10

SJA 5 -.I1lE-1l -. 3F-10 -,27E-10 . 1E-10 -.3i5E-11 .661E-1l 4 -6 .11-11...23E-10 .d?7t-10 .19dE-09 .355-11 -. 171E-10

JA -- .3de0 .3509 53*4 .850 145E-08 -. *992-10._ Jb 7 -.33aE-10. -.IanE-u9 .b13E04 J15E-07 -.2?OE-Od .992E-10

7 JA 7 -. 24E-10 .119E-09 -.11E*05 -.d42F-07 -. 6S4E-08 -.651E-10 J _ .292E-10 -. 118E-09 .11dE*05 .253E-07 .682E-0d .65I-10

JA . . -. 1 - .150.. . J45-.07 .393-08- - -. 639E-1.0 _

Jt 11 .181E-10 -.10I5E-09 .is1E*05 .J:9E-07 -.J66E-08 .639E-10

JA 10 -. 516-11 .392E-11 .490E-09 -.IbIL-od .207E-08 .430E-10 Ja.9 . .510E-11 -.32E-11 - 0-0. .........JdIE-08 -. 427E-08 .719E-11

10.__ JAL 10.. . -. 1 3Y-09 .. .1 6-09 -* E-0d8 E.t0Ei-07. .. 360E-0d... .35-9______________ J 11 .134E-09 .136E-09 .483E-08 .143E-06 -. 106E-06 .617E-09

11 JA i -. 6ijE-09 -. 1.0E-08 -.SIE.OS -. 174E-o6 .624E-07 .217E-08 J.12 ..6'JE-09 ... .. 0E -- ,SIE*U . .1E-06 -. 527E-07 ..---. 217E-08

17 !A 1 Z 9E0. -ai-L . 2 voExt05. .9L0 52 7Er .21 7E-0A JA 37 .693E-09 .110E-08 .24qE*05 .592E-07 -.205E-07 -. 217E-08

iJ JA 13 .52oE-10 -. 137E.02 .2E*05 -. 74E.05 .268E-09 .160E-09 ............ -. JU3 _ 1I. _ ..520E-10... .137E*02. -. .15tE*05 _ *P6E*05. -.217E-11 __-.160E-09

l J IA. 15 .56-.10.7 02 . E*05 123E-ll .350E-(9

J1 14 .560E-10 -. 1j7E+02 .15eE*05 -.14oE*05 .123E-11 .176E-09

JA 1 .i.4E-10 -.1J7+02 .1e*-05 .7OJE05 .573E-08 -. 358E-09 Jd. -. 5.,54E-10 .137F*02 I -.2E -05+ _.13E.06 -. 73E-08 .160E-08

IA-th -3llL -1Rg s5E*k9.E0 .1E0.910E-09JR 17 .377E-10 .1J7E+u .15E*05 -.703E*05 .914E-09 .620E-10

17 JA 17 -. 37UL-10 -.137E+02 -.1*05 .lu3L*05 -. 144E-l1 -. 675E-10 JB_ 1.. ..370-10 . .15-'e.+ ......5 _ .7 -t*05. . 14....._4E-11 -. 284E-09..

LJe .. IL...J.......335E-10 .......1JrE*02 .. .1.*0S. *.... *. SE*OS... .112E-0'9 ...... 267E-09.~ .3

JBi 13 -. 3Thr-10 -,1J7E0e -.kE*0S -. 1 bt:+OS -.205E-ll .267E-09

JA 20 -. 1.E*02 ./6E-10 .IL'E*0 5 -.e&E-09 .745E*OS -. 336E-09 J U 21 .13/E*02 -. ' 6-10, . .1det *05 .60M.-I1 .746E!05 .31ME-09 .

to .?? .13/I'E ? -. " /-1I0 -. 1LF 9* I *0F-l 70 16+05 -. 115! l

Page 174: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

-i IO' 01 3 T .~''U U..t*U5.14.-II H F

V H- I~ 1k3 -. itbr.- Io Ij7 -. 1Jf>O -. iL -1; 4 -. 20E-l1 .26 ?L-09

j JA 23 -.137c.02 .4 16E- 10 .1 E .05 -. e'.1E-09 .745E.OS -. 336F-09

IA 13 21 .3Eo -. 416E-10 -. 152E-05 t.Ot9- I .746E-0'5 -. 3I E -L,9

- o iA 00 e E - . I I et O -. Ii~ E .70 IFO6.OEO __ _________

21 JA k? .1i.O /neiO *bE.O0i .3bt1-0 -. 703.35 -. 14RF-1 jAi 26, IjltE.02 -.bo$E-I0.Ij -0 -.103F -05 13 -.

___,j~ 2 . 13I~0 ____ .b51-0 ___1bE*05 I.btPE-o 7 -. 41.06 .2201E-08.__

__. -.?75F-05 .. 229F-09_________________ J~3 24 13 1311.02 -. tobbE- 10 -IbdE -05 .boIE- I.I746E.05 -. 229E-09

jA 39 -. 3ds.,-I0 3.~E-09 e39'~E-05 -. 270E-07 .43SE-09 .7A44r-09 J3 2 . .363-0 Ev3-Q *.3-ES .. i-o .. 1-0 __-.M-I9__

.RU E-1.1F-09- , ..J E 05 .- S'I E -07 -. 2101-od .731F-09 ____-_______

jmi 27 .2Il .I,1-09 I-.j 1i.OS 1. 103-06 .. 365E-063 -731 E+-b§9

7 JA 27 .13b- SE-09 b 49.E07 -. 671E-09 -*.4-09

......_ 30._ . .2 3 i1- I ___ o.drSE-09 --------.n 1 .' -. 10 _ .. 00 -08 _ -. 724E-09

-.~*~.___ -~10L.i3Eo 1.sEG9__ .I114E-08 .22,E- 10___ _______

eo JA 2.) JJOE.-10 -. jc.5E-10 .:)3 eE08 -. 1aieE-07 .964E-07 .742E-10 .3. -30 -- ----. 3oE-10 J,5E 1 .. 1,1- 7 -. 973E-10 ----- -

___~i JA' J L -9-~7 9 .t-08 .I-.07 . .'1-09 *I~-0?_________ ____

jFp 3 ~ -. 3 3 4E-09 .3J7E-04 431E08 t-4 I E- 07 .255E-Ob 61.5E - o9

ji JA4 31 P509 -.3J3-09 I . 141-094 -.s251j-10 .262E-0. .50OF-Oy 1:3~ 3 2 __..? 8 E -u . __ _.3-33E-09 - .1311-09 t . e.3E-10_ .262E-09 __.934E-09

'. 33 3-)-0 ?Jo0 I ..?E.-07 -. 270E-06 ___.14dF-Q.I -.93'.-09 _______

J3 JA 33 -.3071E-9 -. 602E-09 0. -. e1 1-1 .202E-1I1 -. 842F-09 J3 __34 __..307E ..(-------.409 -09 . 1-10.....?.02E-1 1 .-. 48OF-09

J90 35 .29--23 I1121-21 -. oOlE.04 .156E-19 .21 2E-21 0i.

iso JA 35 -. 16t)E-23 1. 94E-22 i:OIE-04 -. tWIE-21 -. 529E-22 -. 265E-22 -. jB- - Jt......16,.-A-23 ... *~E2. ...0E0___0.. .529E-22 _.265E-22.........................--

J13 16 71EOy Iq;E0 4J 0 .2 1 ___ .- b4E,07.125iE-0 . 21 7E08. _________.-___

JI J 16 -. 33LIE-10 -. 1911-08 .,,3-0S -. 5ds6E-07 .9511E-09 .773F-09 j.j . -........ 3:j .. 33eF--10 y.. lI-Om4 -.-. 239vE-05 .,'74F-07.-.5s01-09 -. 7 13E-U9 _

j 4 L. -2 3 -i.. 7E - 0 .- 1- 0 16 1- 0 7,-,..- .4 62E -03 0 F.20i- 07_____ 16~ 3-) .25eE:-9 -. 17 E-0 8 -.,d9jE-oji tt ,bE-07 . 177E-07 -. 341F-09

9 JA 39 -1 3Z-09 I 0.4E-Od .d73E-0 -. n22E-10 .233E-09 -. 200E-08 ji 40 .13,~-, E- . Us~E -oi -. dISLIO0 .,J22E-IO .204F-09 -. 2f,5F-99

49 I__ C......--L......1-.t _;__4 .90lOd 1'3I0E-07...... J-7 .291E-o7 __

j-' *1 -. ILI-od -. vU7E-Od -.elt)i-06 -. ? 74E-07 -. 6-0

-1 JA 41 *9--/E-(9 .IiOE-08 -. eyIE-10 0. .167E-10 .226-E-08 __. . .. j 4-.,17-0 ot*Ok ,)I-1 5 -10 -. 167E-10 .1633E-U93

Page 175: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

JA74-0 41 I "-.w dE0 --

el 0 0 1 I ~~~~~~~~ ~1 A 4!. - f - 9.i E O 0..67E -I .22.5E-08

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I I JA 0.0 -1.1--E-15 2..j1 *6.'48E-17 -2.872E-01 -2.872tL.01 -2.872E 01 -2.8716E-01 -2.8716E-01 1.44E-01 'PIPE, -I_ __-2.8716E01 1.44E.01 -

_______ 2 3 3jA 0.0 -4.OC-12 -'I.7'.L-14 .?-5-1.372E-.e 2.049E-11 -1.096E-12 2.04'lE-11 -2.3235E-11 1.02E-11 PIPEv 2 2 jt 1-O.O -4-.)OE-I,> -9.74E-14 5./?E-15 -1.372E-12 4.004 L-jI -9I.405E-13 4

.004WJ-1I -4.2787E-11 ~?.O0E-11 15 3 JA 0.0 -%.a-2-3.OUE--I, -9.46E-17 -I.t 77E-1 -?.?6bL-IJ -1-952E15 2.2378F-13 -2.2693E-13 1.12~E-13 BEAHG 1--A Ao.9-_9 u I L 7,2. 0J.o L 7.1 -9.' 3? T.. E- 15 9. I61E-14_-i .863E-15 9. 1 99EI- 14 -.. S054 E -.. 4.9E1 -________ ) 4. 5 Ji. lcO.0 --. ih--12 -6.6it-15 4.'2E-l7 -?..574E-13 -1.336E-14 -e.671E-IJ -1.3144E..14 -5.213AE-13 6.57E-15

5 5 JA O.UJ '.. - 1. -1.7AE-13 -4.2'iE-j'. -4.059-I2? -3.415L-12 -.3o889E-12 -3-3930E-12 -

4.7?'.1E-12 1.10E-12 PI1PE6. -1 .7 7r--.3.-f4.bE-t4,7.059E- -9. 144C.-12.3 -21t;-h 1.J.0!+2E-l 4.-9.16?4t-I15?233___-

__

o-4 J4 0.0 .3..78Fl-13 71S~tI 2.51E-14 - .872E*01, -2.87?E-01 -2-t172E-01 -2.8716E-01 -2.8716E-01 1.44E-01 PIPE'., o 7 J-3 100.0 3.16E-13 -1.52L-12 -2.'iE-14 -2.87?E.01 -2.87eE.Ok -2.8s72E-01 -g!.8716E*01 -2.e7lhL*01 1.44E-01

a JA 0.0 -3.'4E-13 -1.94E~-12 -2-15E-14 -1.3835E-Oe -1.3851bL.02 Ii~~ -I.3A!32E,02 -1.3852E-02 6.'9sE.01 PIPEG S 11 J3: 100.0 -3.44.E-1.3 .)L -2.15E-14 -1.3JiSE.0I -1.35Eo -1>-3I~8tE0O -1.3Ni?E.02 -1.3-92EO? 6.93E-01 * 10 JA 0.0 -4.OZE-11 S.2/E-13 -1.75E~-12 3.58I7E-14' 2.Ri4dL-jj 5.060OE-IJ .487E-lI-2.415E-I1..44E-11 PDEG .

10 - 10..JA - 0.0 9.7UE-12 6.5 L-14 -.34. -4.594E-IJ 75,.364E-13 -4. -86E-13 -3.A16LE-13 -5.371SE-13 2.01E-13 BEAM'lU 1 11 JR4 100.2 9.- 12 6.5'L--I4 -- b.43E-I'. -4 .liWE - 13 -14.000t'-13 -'$.a0 9 E-IJ -1.7196F-14 -4. 0 1 bE- 13 6.49E-14_

11 11 JA 0.0 -I.ceo-ll 3.504E.-11 7.e~H1-13 -l.Hj5E.0? -1.385E-02 ~ -I-8:o 1.31z 2E.02 -1.3852E.02 b.93E+01 P I PE~ - - -~ ... J45E0i.04ii 3.3R~t-1. E..J7I $'I15E-04 -- I.e .71 .ii35?2 .~.9.!0 __

1 . 12 JA .2.0 -1 . -rE-I1 1, .4.t.-1II 1.41E-12 -3.5S53E.02 -3.55t)L+U2 -4.b5E.0e -3.5515E*02 -3.5555E.02 1.7.qEi02 PIPEG

13 13 j4, 0.0 2.?-.E-o2 .~1 -3.0-lb -3.050E-01 -3.069E-01 -3.056E.01 -3.0313E.01 -3.0666.01 1.52E.01 BEA4l----------

0-- 15_ i43JA .0.. ,4~' 1.6JE-12 .1.4-/E-13 -- S.,'94E-0I 4.318t..02 -3.994E-01 4.318F.o -4.32blE.02 2.16E.02 _ EAMG 14 14. J-1 l00-) 4.- 6t'Oe 1.6.5-12 1.4h1-13 -J.-f4E-01 -4.5c4IL.0 e -J.i994E-0I 4

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Page 176: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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19 JA 0.0 2

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di 22 JA 0.0 -3.5+.) -1.17L-13 3.40E-14 -2.739E-02 1.4,3L-01 -2.139E-02 1.4A32E-01 -2.0311E-01 7.42E-02 BEAM6 . -1 16-J. 1 0.0, J.a vEJ * - 1.10 / 13 . 3.** E-14 ..70 2 .*OU * Q 0-2..739 -0 . f 5 -o_ el 165 JA 0.0 3.j5E.o 1.q E-13 -J.J9E-1. -2.739E-0 I.006.000 -2a39-E-02 1.0061F-00 -1.0609E-00 5.03E-01 ~2 23 JI 100.0 3.9i5E.01 1's1J-.,>-?-.139E-UZ 1.'.MJE-0I -2.73)-02 1.44~32E-01 -2.0311E-01 7.4.2L-02

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1612-27IE-11 .nE-13.41E* 3.413l02 3.18E-02 3.41813*2 3.4130*2 1.71E.02

.26. J, 0.0 5'7-~ 2.4t)-11 4./E1.. .903E-02 1.903L-'02 I.-io3E.02 1.90283E-02 1.90?8HE-o2 9.51E.01 p IPEO 27 Jv 100.0 -597E-13 2.4(3 4.ISE-1j 1.903E.02 1.903E#02 1.903E*2 1.908E.02 1.9062E*02 9.51E-02

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dCI ?9 Ji% 0.0 - - - -i . I .3 E-z4 --..46E-14 .371 E-14 2.300 1 3 -4.4069E-14 2.33E-13 BEAMN 0 03eI .,v i2E.14-1 3 -. 377E7-1'. ).S-55ioUE- 13 -1 .6A4.6E-7!3 2.Q-13 ______

-' J6 30 JA1 0.U -1 :1 b1L-l 3 1.uOE-1s 6.7bi4:-1.J 6.80LO.-1 3 1 .0sE1 l.05,18E-13 6.5099E-13 3.88AE-13 BE amG Ed 31 J 100.0 -. otE-11 6. t-13 3.oOE-13 6.194E-- 1.31b-01 b-273E-13 1.32E-12 3..011E-14 6.7E-13 JI 31 JA 0.0 -1.'s--Il 3 IL-i1.2s Fj31IfOE-iI -1.630E -09.5lE-11 -1.9'447E-09 -1.8313E-09 9.4RE-10- BE.1Mu-. ,Le2E.11_3 1 v 9 +E-09A~oE. AE0 -1.3o-9 9.48iE-10 ___ ______ iSc 36 1A. 0. -3.d';-Il -b.'ivL-13 - - .142E-le -1.236E-12 -1.164E-12 -6.2137E-13 -1.607E-12 3.13E-13 PEAMG jc 3,3 jt3 100.c -3.iE-11 -b.')i3 -3.09E-14 -1.140E-le -4.64tE-I4 1.657E-12 -4.6424E-13 -1.8167E-12 2.35E-13 .3: 33 jA - .0 0. -..41L-1.9.UOE-IJ b.ba3E-11 -4406L-10 -:.30E-11 J.4643E-10 -4.8209E-10 BEAM

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Page 177: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

10' 11 it. :)I. 0L -(.,.'&-IU ./. -I I - I .ht.- I I - I .jJ-u 0) .1'tiF-L I I.640V-01) -1.7'' .6 ./?E-IOl o FIAM6i~

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CE A.).E I GH LUAU CaSF

74AXAPU- ST4?ESS SUI'.,14rlY FUR~ H~ E A M- s~ r~ P s j Es FUR~ OJTPUT VECTOR I T A VL( --- TORJ IONAL -STRESSiES AT U~tR LOCArIO14S- MAX I -[J- MINIjmuN CO'4AINEU n;-. ~'A . EAK-..-...(C/J)..A.iC . '.M/).(/-/! STPESS

~4AA. 9EA.. STuESSES= 4 1- 5E.0 2 1 .o0-E -10 7.dA6E-1e* 3.418E.0.e 4.318L-02 J.418EF.02 4.5s26E.02 3.4183E-02 2.29E 02

dEAM *%Os. d I . . a........-/. 25 25. - 20. 2b. 20. _

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Page 178: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

A ~ E rI N IN'JT LOAL) CASE NO. 5 TITLE( EAwirIUAKE L

NJLJAL P0!NT APPLIED FOR&CES FOR LOAU CASE &'J. 5

CNODE Al X2 X3 X4. Xt A6

7 -5.ld3Go0aE.3 ti.18300E-03 -6.7190OOE.O3 -0. -0. -0. o A- - --3.e4-31.AE.03 .J.2430 ,OL.O3 -4.20400E-0:3 -0.

b.6 u-0.______ -. __

fa -b. IV,2OE - 03 o.9t:Our3 -1.165200'.0-. -0. -.- 0.

J5 -3.4u0O0E0.3 3..32300L,03 -4.4tiOOQE+U3 -0. -0. .- 0.

P.10..)AL POINT APPLIED..LOAQ'S A14U104 d.1SPI-CE11tNTS Fj1rAL-SUM4.Y _FOR -LAAD CASE,.!4(Q......S

CODE A I I' CULU~ti ?C- CF T-it. STATIC CARDO.

Ft~ A~ 0,O'i- T J'MTION .. . -AduJT AAES. PAqALLEL. TO0_ SYSTEM A +XES

~4ITi1 URLUIN AT HJ1Nti (090,0)

F 1. F 1 - .. 517?59900U0 0 -05 ----.--------.-------------- __ _ __ _ _

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mxj . 1021tioU0400E+03

mX3 = .

-- ---------- - .....

Page 179: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

-~~ EAOTHOUAKE I _________ ___________- ~ EN ~ OA O FU~ UTPUT VECTOR 5__ _ _ _

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Page 180: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

.711 JA 0.0 -b.u4..fL OJ. I I .-LIt: - 04 -d.9?3 1 Or.L . 0 ?-.1 -4 Pti.6 .0 3 hF ~jAA6 _.J!!*-i _,d_4I.r..93etO 8 414*I 7idS.3.31047E-04____

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Page 181: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 182: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 183: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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Page 184: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

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11) 31 J,3 100.01-.0-1 i5L -1. )i1-0. -. 7'4E.U1 -e.744.01l -2.742E.01 -2.7424E.01 -2.74161.-01 .1.371E01 E4,....-~.

Js 33 JA 0.0 -3.-1 - 3L0 -2.o6E.01 -1.524E*0i -1.247L-03 -1.531.03 -1.23HSE.03 1.23.151.03 6.20E-02- BEAHM

3-. 35 Jit 103.11 -4.;I 9.-1. 10. fE0 2.744E'U1 e.744L1 2.745E.01 2.045E0121.7421E01 1.37L-01 RA~

32 33 JAi 10.0 -4.1ii-E-11 -.- l1.01 J.03 (E-03 2.744E0101 2.3931.01 2.7431.01 2.1q4E.L012 -.7424E-01 .1.E01 IPI

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t 35J 0.0 . . 5. I E +-1 -3 01t:001 J.u3E0 34.410E01 -4,4141.01 9-.3930E01 -4.4974E.01 -5.6 S3281E.o0I 5.99E.101 PIPAEG

Sd) 39 JA 100 3.vic1 -3.0,t.,00l -.5t01 -1.94L1.0 -5.4.'.Et01 -5.8411,01 -2.5013E.00 -3.8425E02 2.311>01 PIE 3O 16 JA 10.O3 -.O6t-1 -1.763.012 -.111101 -1.9461.03 -8.1.t-ol.U -d.r.'.E.01 -4.lti2E.03 -3.410319102 4AMG.

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j 0.1) 4.? ~ ~~ ,~41-0 .. 4 1 2..74h01 .0 49Pfl 4.8497L30 1.25SF.')) '

Page 186: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

EA/YRT1iJA'E I

4 E A M S T R E S i S E F'd tjaiP'JT VECTOP 5 TkrSFE T0,(-.I(.UN AL -STHESSLS AT &JSEN LUCAILONS - MA X I HUM M1NI4U4 COM41tNED

Sn A 5rAi I. *C/J) . A . . -I. . C (P/A..4C/1) (I'/A-MC/ I) s STLESS...........

OAA. -3A! STIESSES= 5.e:0 ?.OjEi-02 4..75E-01 2.4.SbE.03 1.a46L.03 2.479E-03 3.O.4H9E.03 1.U532E-03 I.SSE * 03 'tEAM 1.05 . '. . 1. 3. 41. . 41. 4'1. 41. 41 . 41..

_ _ _~ - ---- ----- .

'.'I4E.MTE SSS.-.3.2.~7LQ .-5.a1F-.01 -2.456E.03--l.84bE.UJ -2.44iC.03 -1.A.3t2E03 -3.038$9E*O3 2.71E-13_____. . t

23E %4 Nos.7 . 39. 39 9.3. :j9. 39. 3.

Page 187: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

o E G I N I.JDUT LoAI) CASE NU. IL(E-T9AIE2-- - - -~

N-J,;AL POIN.T AP 6IDUCFS FOR LOAL) CASE. NU. 6

WOE -- X2 3A4X

7 -3.50-600E.-03J .5Ui0G0EO03 -tb.719000E+Uj -0. -0. -0.

O4240E-03.- . -0. -0.

12 -3.t)Jl~QUE.O3 J.631000tL0

3 -l .U i.71OE.04 -0. -0. -n.

16 -3.3t CG E'32 3JouE0 1370E0- ._

e6 3.2 -3UOE' 0 0 0 t00L . -16t2ULA -0. -0. -0.

________________E_0 __ _ _ _--'~ 3-26 -03 -1iV~ OE0 -.-.-.'

3, 2.9.310'W.U-3 -4.'v3l0j0cr>03 -4.40t106EOJ3 -0. -0. -0.

. 704QUU -03- I 7C4G .--2 . 19000E- OJ -0_ -0._.

INA SUMMARY FO _____ CAS '---.

-i NJIQAL POINT APPLJEO L0AOUS AN*J.4. U IIA SPACMETS LUAF .A~ .....__ __

(- I -!!L -NOOLL O _A., .T EOJOO IS _E$I,9 ~ AIJ PONT Q?___

COOE 'k INP CO!Luv: 20 OF T-'L STAIIC CAR0.

FCE- AN! O-O-t4T SUA.miTION

ABUXJT AAES PA,4ALLEL TO SYSTEM AXES--------------.

w I Ti OR 11, 1 AT PO'INT i0.090)

c

Fxl . 14420000000E-04....... Fx2 . 1442000!OCOEO04

FX3~.. --- ---

PIX3 = 0.

------------------

Page 188: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

FAdOt,-'JA.(E 2 * _ _ _ _~ .. d E-A. M _ F--A-A .. ( J1PUTV CTUR _ __ _ _ __ _ _ __ _ _ __ _ _

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.8 _JA...C0 -. 1.6567-JE.0'.-.6-.E0-.6uL0 z2b1-a 2-5ipo ..5!4.5PPG__ d 11 Jp 100.0 -!.t65150E-O.. Y.8oh0E.03 9.tlo!00~*0 2.2351YE-08 4.3 573E*c,5 -4.33573E-05 _

10 JA 0.0 7.43932E-10 -b.'.2106E-10 -8i.47649iE-10 9.7 18 u9E-o9 4.07454Eo 2.b9-a PG lE-09 .4S629E-09 ____________________

. 10 JA_ 0- .0 -?.96'7-34~-- . 6.:341.13E-09. 2.0.954liE-k19 .d8.9C70--0l __1 .490l2E-13 -1.61289E-07 tiEA4G_____ 10 11 J-l 100.0 2.-9o7i.E.-o b -. 3 47 3 F.- 09 -2.09S4dE-0Q 8.94070E-083 -2.980e3E-06 3.49341E-07

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4 .D0340EO02 --. 519E-o'. BEAMO- ----- ..

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311 11 JA 0.0 -2.43493E.O3- -1.6 8E 04-'..11~1 -.70E 2.40047F-03 4.450 6E-04' HEAMG

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17 JA 0.0 2..,511E.03 1.411127E.04.6.26294L-02._ 7105L+01.-5.68U'5C.03.601?63E-04 tHEAMG _-2 - 46 51 E! 0 -. 71 .41' IE. 4 .- f(1 62v *U 2-. 8 16Dt o- 0 1'.44EtO2. h.05941E-04_ __2__

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Page 189: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Id~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~Z -' Ollu 10. -1'')L'E0 U24,1+3-.6~'Eo ~dIy.1 .$'3.4 -

19 JA. 0.Q ..... 1. :1: :1: .~:: ::i ;.: . 6 :62 :0 . . .:d 1:::0? -3 1:0:~. ; ~ :AI U7 .04 ::~:------------------ G

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0 3 23 J A 0.0 -2.'.3..EE0o -996,1EU 2.~o. Q 3 .ej o Y., I0n IV. 0,. HE~4 F A 14 21 JA .Jk 10.U__- .4~l... 6. 1 t.E. 0 j.6 7I.29 01 .02-2 -i.d ? i 10 u-2. 1. r .o 0 d. 03-4 1 1.4____________ 0 - .-25 JA- 0.0.. ?.d7355IE-o'. .--04Eo .6''L~ 26s.~.2-.1O3Eo 9S1~0 EM 24 I410. 11d~t.' 2.'3l7E. -9.42b2 .l. -2.dI4U-02 -2.4Ud115E0 e.1?6k2E. j A(

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A 0 ., 31 JA 0.0 1.0!2ilE-0. -I.16W13-L0 -1.2'sE+03 3.26b11-.0 .'.S148E.03 -2387E0 EAmG -i 2111aa a1 . . 4 . b .6liV I!0- -L.4 20 -. t-0 -12TJL0 351760 85 7d2E+01 Q_

3Z 30 JA-. 1 . 0.0 -I.012/:.o-. -2.3leE-08 .. -1.2'.?IE03 -3.620751L+0 -8.175(3E.03 2.358'37E00 tIEA.MG 0 -. .33 JAi 10.0 1.1/E0 - 2.e:46- IY.0 1 4

20tJ 02 -1 .628tti.00 3.b1468E*03 2.3585E-00 BEA1

Page 190: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

3Y# . ~ IJ---I. IiL-I0 I ..2O4,'sL -3 j-. 2'ib1kL.0 -'..t The6t-03 8.4?IOIE.O1 f1FAM4 02 e 100v~iI -. 04?L0 --. o;-U--IIt-0 9. 1 fI*0 3 .. -.421 lt - 01

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4.1 4 2 J,2 100.0 1 .q ? E 6 -di.7311E-11 1.2042'A.-03 -1. e.b511u 2 9.76716F-E03 8.42101E.U1

* EART.,VJAKE 2

.4A1'M LA3SUIAN F~ ~ M EL~M~JT LO~) FOR~ OUTPUJT VLCTOq 6

AXA SHdEk r(J~siot- tdEqo I~ K'GENDING

.4AA L4MM dEA*4 LOAD$ * .i~3'.o .60~03,--_.753TbL+O4 -- 4.33573E+05 b.160F30E.O5 HE1 NOS. =3. - 1 d. J6. 8.22.

M4 I L I MJ BEAM LOAOS = -2.733oGE.O. -1.873obE*0'. -9.8i6100E*0 3 -S.7537bE-04 -4.2683SE.05 -5.160B10E.05 BEAM NO.3. .... ) ~ . __J(._ _ 1 5 __ __

'0-.

Page 191: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

_________ ________ E.A,. .- , ok.. L LA S . IN, r'L OSAL. -YST M _ FO...OUTPUT vt:cro4 6 ___

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......L~ jA....i~------.~-".Q........E.0... 1. ~C0S .6eN1.OS __.-.314E.04 __ .269E-03 __ _____

-- 1 ~ ~ J ?I ?I h. +~ ()4 . .??> . - 02 1., c - -. ' E i ~ -. -0L 2 -. 40oJE.0S *vJOE+O . ----.------ - C-

Page 192: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

e I"'t E - f) 4'i1 S ri U tt -O~ 0* 1>.FO~ A 7 E - 0 I-l. E .. 33:0E*01

Iv ;ot 13 -. E 04 Z . . 7E* .14-!L*vi -*4*50003 . ,6I1E*-05 ~.330E*04

2 .24L*04 .-. 9 IE*02 -. 1cE*0i -. entE*02 -. 1100E*05 .330E.04

20 JA 22 .247E*04 -. 9-7E*02 -.14oLO -. 2a71+02 .601E*05 .240F*04 JB 21 -. ?4/E*04 .947E*02 .14dE*S .2d7L+02 .806E.05 -. 33OE*04

21 JA 22 -.247E*04 .9 7E*0 2 .146E*0S .2dIE*02 -. 601E.05 -.2.0OE*04 J. 16. .247E*04 . -.94 7E*02 1 b -.14E*0 5 -. 2a7E*02 .3)3E*06 .270F*03

SA -- 1 -- , -. .e E* 04 .- -026E*-03___ . ii -l _E*CS .. :. doE*0 . ".6166* 06 . 9 59 Jt 23 -.243E*J;'4 .626E.03 .181E.05 .dtfL02 .94.E*t0 -. 5eE*04

dJ JA 213 .243t:*04 -. 0e6F.+03 -. 18j7E*05 -. ?O/E*02 -. 1445E*05 .5404

j; 24 4 -.23E.04 .b26*0J . 17E* 05 .5 ddE*02 .63E*05 .260s*03

-Z2;- -JA_ 25 _ -. 24 lE* . U. e6L +0 1 /* 5 311*0 .95d8 i,05 .. 60E* 03 JS 24 243'*7 -. f'e6E+0 -. U187IE*05 2*dd/E* 02 .TEO .6E0

e JA 3d -. 1deE*04 .?12*04 e263E*DS ..b:005 .465E*05 .175F*05 .J 26 .1824104 . .1d2>04 _-,63t05 .7.74... 05 . 774F*05 -. 175E*0S

JA 1 5E*04--_- .14*05 -. 44E*05 .74E05- .1 75EoS J3 27 -. 14 t.E*04 .145E*04 -. 145E*05 -. ?9dE+05 -. 298E*05 -. 17SF*05

JA 27 .59QE*04 -.5)3E.+04 o6dE04 *2'-8E*05 .298E*05 .175E*0S . J...... .30. -. 59*0 _ .5-3E+04 .-. 662E*04 -. 113E06 -.113E*06 -. 175E*05

A 23 .3 0 .1 17E-0i .. ~~~ 297E-08...5. -. ~183E-08 -.31 3E-08 ' .4$E-08 Jd 2 .31 JE-39 . 117E-U3 -. 29/E-06 -*107E-07 -. 12dE-07 .233E*o04

e JA 29 .O47E-08 .15E-08 .11JE-07 .1boE-07 .1nOE-0b -. 373F-08 JH 3#'. -. ?47E-' . _ -.115E-08 .__...-.11JE-07. l.21E-06. .505E-07 . -.671E-07

_A 0 -- 10105 .4,2EF0 -.. 11 IE- 0. V .3b 3L-01. .. 236E*01 .h73E*04

Ji .31 -.101E*05 .4,2E.03 -.1loE-07 -. J.L.01 -. 236E+01 .351F*04

41 JA 31 .101E*05 -. 4?E..OJ .1b0E-09 Jt.3E01 .?36E*01 -. 351E*04 J. 32 .-. 101C+5 . .42E*...-.160E-09 -.36JE+01 -. 236E+01 .54?E*04

J. 30. - .2361E01 ... 363E*01 .73F*04_ Jd 33 -. 4 dE*03 .11*0 .d3jc-07 -. eJ6L*01 -. 363E-01 -.351E.04

33 JA 33 .442E*03 -. 1U1E*05 .128L-10 .2361*1 .3A.3E*01 -. 351E*04 Ji 34 -.4

4 2E*3 .1J1E*05 -. 1?HE-10 -. 2J6E*01 -. 363E01 .542E*.04

-. _A 3L _.. Lt.0 .t b.3 _E_04 beEt.04- ..113E 06 .. 113Eo06.- 0... Ja 35 .46-JE*04 -.46:3E*04 -. obdL*04 -.. ivE*05 -. 479E*05 0.

j5 JA 35 -. 170E*04 .170E*04 .221C*04 .IV9E*05 .479E*05 -. 466E-09 JO 3o .1.E04 . -. 1/0E*0 -. 221E*04 .406t-09. U. .466E-09

___ L .1404 .**14E*04 -. 2?305 -,120E*06. -126E 06.5 575E05___________ J1 16 -.414E*34 .414E*04 .273E*05 .5t29L*05 .5S9E+05 -. 575E-05

31 JA 16 -. 164E*04 .162E*04 .203E*05 .tbBE-05 .668E*05 .175E*05

.J 3E .12E*04 -. loE*04 _-.263E*05 -.405E*05 . -. 465E*05 -. 175E*05

.1 ... JA.. IL....-.. .. 16.E*S. .... .12. *94. ,0 E09... ..-. bE*03 ...-. 61E*.04 ..-. 288*05 __-___

J9 39 1-E0 -. 1d0E*04 -. b3t4E-09 .IJOE*03 .34;!E*02 -. 450E*04

JA 3- -. 164E*05 .120cE*04 116E-09 -.130E03 -. 842E*02 .458E*04 - .0 .1... -..I...*04 -. 1-0... .1JOt03 .842F.+02 -. 977E.0'4.

J -1 -.1-- E*'4 .1 .13t.-0.7 -..0E* . .-. 575IE03 . - -. 2hoE*05 J3 41 .12-A*04 -.1 +05. -..8 -07 .. ..dc*-02 .130E*03 -.45P8E14

1J4 I -. 12 E*P4 .1 U'.*05 -. d/> IE- 10 -d et it*02 -. 130F+03 .4SFE*04

Ot 42 . .?acE.04 1.io - OS .87aE-to .'-E-02o .130E.03 -. L'+7E-04

Page 193: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

CHK, b i.,~ (TEJ 12YU .J..<KO...........0 NO.-...............................

* ........ ....................

..... .... ..... .... ...... ~ ... ...... .. .... .. ... ..-.. .

ST 5 h-5S.flA

-72913 G~-fS 745-~

66 z~4L ~<

9.3-14

Page 194: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

.' L A TL .......................... . . . ............. ......... J0L 3 N o . ....... ..... .......

A I SmThIrc-r Tro -r-ftr. I- L. 0 .S.

0t ~

1, 2S'r~'.

.87 Lo..- - .47S-

SFORY~ $oL f_- L' flf

I* 9 E^. 35lizq

l 141Z 61.6t

/11,t~q I /~ I Lena ~ e~Ccii (5C'

Page 195: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

.....~ ..... .. A i[ L... ....... ~17 J JO Bl NO ................. ................

. ............. ............... ................... ............ .......................... ........... ....

c p.. - -5_ r 4-4

ly'1-7- rf "? . o

Aly . Sr? S . ...

A$qi 'A.T A ~~~ b Z

............. .

- . A~" Tj~-$"E $T3ES Q~ nF

-- -- - ~~Ir*~Z i~'~r 4

r2,. 2'Jq,

Page 196: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

C HIK D . (IY I'l . L)A T EC.................................... ........ - 1....................................

.... .... ..... ....... .. .... . .... ......... *" . ...

f3y 7/fe u C oc.4 P t-$ r4 S -SIO

- - -AS~cWL-r LIl""it

_______-- ZR

C-s)- 5

~ .- rlFL 2 375 +1 F Lz)J'

C, -o T- 4 1/1

Cr 13

C Y

-Toi-/7L CQAo rIe R.

0 t

.p F.-3

Page 197: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

ciy y DAIF j27 ) ~ 2 L ,i~i.j (..f- LL' ......... a013 NO- .......................

S-0Z ~ ~ L-,-,' 13'~ X- P

T- o .of TUE/r~ L:-c9,MriP, r - I srE -o

(f'c1-e y . 5 Z-:r1 p~,7 1 3 '12

IV60T 13e- ~~f.SP C C 0 "'S c LT A.0, . S

(3 -P c- oIL. v3 TJC oT 13 y 7f~. A -rr/? Clf flk,< PI-iOr7

-~.-E-qL 368-117 -7010 ~23,q,

-711 V?.1 r

1---~p c 2

IC, L-01)

'T-~- 07/)L psi 15Is 31 & ~J~~C 8 6 L75~~v'f

'?~?/, '/7(o70pi

.~v45-

Page 198: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Appcndix A

STARDY'XE CO>IPUTLR OUTPUT

This -section contains the following output:

A.1 Geometry

A. 2 "HQR" Output

A.3 "STATIC" Output

0

Page 199: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

Appendix A.1

GEOMETRY

Page 200: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

----- S ; TARDYNE 3.0 INPUT00

-CARO_).. WpAGE -- - - - - -- -- --------------.

-- -- 1---12-16 ---------3-- 36- 4 4'4 48 52 56' 60 64 68 72 76 80

CARD_ MO CARD TYPE

- 2 EFCO St4,UTOOAN PEAT. EXCHA-46E . TYPE-.CEU. . . . . . - M-- -- F.

3 MATLG ICS 250 F 27.55 .6, 'ATL

a. -. 2S >40or .26.b .MATLO---------------- -

5 3 CS 400 F 27.0 *6 MATLG

NDE

7 NUDE 1 0.0000 0.00000 361.00 ND

-- - - ..20.00 __ 32.7500 -- 32.75 - - - -NODE . ~ . ~ .

9 3 0.0000 2J.690 332.75 ND

10 4..- _ NODE . o ~ - 10 - - '. 0.0000 - .000.327

11 0.0000 -21.690 33Z.75 NODE

____ ___ 0 . 0 00o 7.5 0 - - -.332. 75 - 'ODE _______________

13 7 0 . )00u 0.00000 310.50 .NUDE

-~ ~ 0 ___ 1. .'!ood . ~ 000.. __ 0.8 ~ - -- - -. NODE-------- -

15 9 2 5. .0 25.346,00 286.88 NODE

_____ -16. 10, 19.94 j 19.93 ~ m - - . - - . - - - NODE...... . .

17 11 0.0000 0.00000 2843.88 -NODE.

________ 13 1L. 0.00a3 0 .0oG0 00 0 - , 72.88 -- ___________________ND. 19 1Ij 0.0000 32.0000 20.0NODE

0209.50, NODE.

o ~ --- 20. .14 0.0000-1 - 32.0000 0.6.ND

21 1i 0.0000 22.53000 209.56 .NODE -

22.___ .. lo 0.0000.. 0---00 2------ o. _____

o23 11 0.0000 -?ie.500 - 209.56 ND

25 IV 0.0000 -42.000 204.50 NODE

0~2 -26 ... 032.000 -.- * ~ no. ___.0.b .~-.-.-____NODE . ~ --.

27 e1 32.000 0.00000 2NODE

28,,-----------22 22.500 N.0DE0 e____ __-----.

924-22.ti0 0.00000 209.56 NODE

-. 32 '00 0 0 00o 209.5 6 0J 0E.

3 2 -32.00 0.00090 204.50 NODE 31 2tU E------------O-E

32..- 0 0.0000 NODE00...___ 1u1

's21 0.0000 0.00000 5b.1j0 NODE

34 d ?5-1-60..-~40. __ 42. 130..--, NO.

35 eq19.9j0 -1 1.930 42.140

17 ~~31020O b9 0.00000 '2.14l.._____________ UE._______________ - NODE

.3. 32 -32.00 -- ~ .00~~___4.3.NODE

39 33 0.0000 -27.690 42.130 ND

041 3,j 0.0000 ----- 0.00000 e8. 130 ND

.42~~ 0 o.o0U00-___ 0.0000- - - - 0000.-.-- -.. NODE-

43 7 0.0000 0.00000?2.8ND 43.. ___ NODE ___

45 3v -27.64 0.0000 281.i25 NODE

40 -3.00 00000NODE

O47 41 0.0300 -21.69 267.25 ND

_______41L..- -- M. 0.0000 -i~0-2L.25. - Q)F-

____9__END__ RE I

____ - 13. ... 1 1L - - --- -- . R__ PSG . . ___

SI 1 11111 .RESTG

53 25 111111 RET..c__________

Page 201: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

If 8I G4

S3 11 111

STARDYNE 3.0 INPUT ..-....-......-.-------------- CARD IMAGE ---

1 12 16 20 24 28 32 36 40 44 48 52 56 60 64 68 72 76 80.

0 o 0 0 * * * * * 0 0 0 0 0 0 * * * * 0 *

* CARO NO ***** CARD TYPE

55 34 11111 AESTG

5f 40 11 Ill PESTG

____ .57...---.42........ 11 111 -- __ ET

58 END END

59_.AGLt ..1.513L* 5.131, 1. 60 7 6108. 610U. 6108. WGHT

61 8 -3822* 38- 3822A.- -- - - ---- WGHT

62 '12 91;2* 9792. 9792. wGHT

63 1 12252. 122:2. .. 12252. GHT

64 26 10593. 10593. 10593. WGHT

Os 35 4307. 4001. 4007. wcHf

67 36 2008. 2000. 2008. wGHT

68 END END

___69 -P IREG I.. -- ---0.. 2..... ~ ~ .___ PIPEG_______

70 2 2 36 2 3 PIPEG

72 4. 4 5 36 1 1 AEAMG

73 PIPEG 5 . .6 .36 2 3 PIPEG

74 6 4 7 20 3 2 PIPEG

_ 1 0 36 - P 6PIPEG

76 8 8 11 20 1 5 IG

__ _ __ _ ___7... 10 9 6.....______ ________IPEG ________________

76 BEA4G 10 10 11 36 1 1 6EAMG PPIPEG_-_

79 P IPEG - . 11 - - 1 _ 12 - 20 1 .. ....... -- E ......

go 12 12d 37 20 1 4 PIPEG

81 BEA 'JG .-. 13 13 14 36 _.1 - - EA G

P2 14 15 14 36 1 7 BEAMG __I-_ __16 TA 1 _1_-_REAMG

84 16 lo If 36 1 1 8EAMG

17 I 36 1 BEAMG

h6 18 19 1t 36 1 1 BEAMG

87 19 20 21 36 1 BEAHG

88 20 22 21 3b 1 7 BEAMG

.A9. PL.22 .10 6- BE ANG_

90 22 16 23 36 1 1 BEANG

91 23 . 23 24 36 1 7 .... EAMG. '92 24 2! 24 36 1 1 HEAHG

93 PIPE .25.. 3d 26 20 1 4 94 26 db 21 20 1 4 PIPEG

______ 9 __s- 2Z.....7 30..20. 1 ~~5. -- _____ - P IPEG ___ __ ____

96 28 29 2d 36 1 6 PIPEG

97 t)EAMG. 29-- 29 30 36 1 1 BEAMG

98 30 30 at 36 1 1 REARG

99 _ _ 31 32 36 I 8 - BLANG

100 32 30 33 36 1 1 BEAM4G

I1a01 33 J3 3 36 1_ __BEAMGi..

102 PIPEG 34 Jo 35 20 1 5 PIPEG

103 35 ----. 20 -1. PIPEG _______ ___

104 36 .11 l0 20 1 9 PIPEG

105 37 16 _ 3d 20 1 9.PIPEG 106 dEAMG 38 11 39 36 1 1 BEAMG

3v-39 i3 40 36 . 1 EAMG

108 40 11 41 36 1 1 BE.AMG

Page 202: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

10 f lb Jd 40.~ 1t PIL

106 dEA4t 38 11 39 36 1 1 .BEAMG'

107 39..~ ~ 39 40_ . NEAC_____-36--_-_I -_____M6 lod 40 11 41 16 1 1 BEAMG

*'STAIR0YNE 3.0 INPUT *

1o-- 2-1-2 24 2 32 6 40 44 48 52 56 60 64 -68 7 6 8

110 END END III . PROPI . 1.500. . . .5. .. . ... ..0 ..... .1. 0 BRP ____________

S0 - -112 7 34.29 7.32 1176. 81O7. .338 .662 BPROP

-'114 dPRP2 1.0 1.0 1.0 1.0 1.0 BPROP 116 e 6.0 ..375 .75 1.0 1.0 PO

117 4POP .405. _ 75. .2 B~__ _ _ _ ___ ________ PROP -

120 5 Sik. .625 1PO

122 ENO. _ . _ ENO __

124 ENJGEOM ENDGE

-- ----- -- - ---. ..... _ _ _ _

Page 203: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

EFCO Sr1UTD04J ..EAl EACHA14GER TYPE CEU

Gtdl4ETRY PROCESSING OPTIONS--

GEu.ETRY INPUT PALE - NFILE)r 0 ACCtLLPATION OF GATY. -IG ) .8400.3_ - - - --- = - --- ---- UOIF PEP 'NUA (JDOF)

',EJ*,E;TPY PLOTS (IGEOMP 0

PLTVIWSLETR-- -P-w -.- 0 - -1 -~ - - -- ------ - -- 7

--- MATERIAL--- MOUULUS POISSONS Si1EAtR COEFFICIENT DAMPING NUM)3ER NA,-*,E OF ELASTICITY RATIO -- -MO U UENSITY - OF THERMAL. -CEFIIN

------ ------ -----. R-_ _EI/------- EXPAN4SION___

NA(L I CS 250 F 2.t5OE0 _____ALPH1ALPH-------------------. -- ----- -. 2.7

5oooE.07. 3.000000E-o1 .05965E. -0 -0.-0

MArL 2- SS 400 F 2.6 6 0 000E+ o? 3.000000E-Ol .201.7- -0. -0. -0._

2.600U0OE 07 3.O00000E-01 0. _ _

M4AI, 3 CS 400 F 2.700000E-07 3.OOOOOOE-01 1.03846 E+07 -0. -0. -0.

- 2.7 0 0 000E+07 -. 3.OIJOOOOF-01-0

Page 204: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

**NUiJAL COONOTINATE TABLE00

'SNODE Al X2Q

.NVUES -- A. . 0.. - 0. -.600E0 . O NuJJES 2 0. .3275000E*02 .332ISOOE.0J.

NJUE 5 4. 0. .3327500E.03 - ... ',.ES.. . 5 0. - .2369000E-02 ,, .3327S5003

'qJS6 0. -.3275000E.02 .3.i27500E+03 - ---

l* U'.J1 E . S 7 -0. - ... 0. . .. *JIOSOOOE-03 I

;4-E58 0. 0. .3008OO03

E- 5i~ 10 .19930U' L.O2 .1993000E+02 *26688O0E.03 NL; ES 1,__ -.....~l.. .- .- . - .2868 0 0 E. - 0. . . 3---.. . .. ..

S12 0. . 27edd00E.03 r~'joE S ... . 13 G. . .32000OOE-02 .. .045000E 03........

NQ.ES 14 0. . 32000OUE-02 .20-)600t.03

.I Z..0._ .. _ S000E.25E-02. .2 .2095uE+0J___ __ ____ __ _______________

113F l 0. 0. .20IJ500E.03 . 11 17 0.. -. 2250000E.02.. OL095605L-03 - . .. . . .

..'s19 0. -.3200000E*02 .2045boo0L.03 NuE .....19. 0. . ._-.3200000E*.__ .2045000E.03

* tuJES 20 ..3200000E*02 0 * 0'.5000E*03

N.js22 .225000.JE.02 0. .4095600E-03 N~1~ JOE 23 - --- -.225000eE-02 0.- __..095600E-03

'Nj - E S 2!. -.3200060E-02 0. .20956001:-03 -vj52 5 .-.J2(oo0u0.02 0- .. .2045000E*03

''~ JuuES 26 0. 0: .1301900E-03

N.JOES 28 .25460O0E.02 -.2546000E+02 .,.213000E-02 '40-.ES ... 29 ... ~.-93000E-02 -. 1993CO0E.0g.. .42130O0E*Oe N uES 30 0. 0. .,+k 1 3

0 0 E 02

I-___S ____3_3. _-.0 . __...-.-..a769000Et02 .-4l3o0IF.02.-.---__ ___ _________________

NU. E S 34 0. -. 32000GOE.02 *4.2i3000E-02

NuuES . .3-5 0. 0. 0. N.,VES........37 0. 0. .22638100E-03

N- 'ES3 '1 0. .*1983800FZ.03

N'joES 40 -. 3200000E.02 0 .2872500E>0j -- . N~S ~ '........0. -2769000E*02 _.820E0

N L) ES 5 42 0. -.3200000E.02 .28725ooI:--OJ

MAXIM.UM ALLO'AABLE NODE NUM4BER BY ANALYSIS TYPE------ STAR. STATIC. 2 50 0 ..- ____

STAR HMR 16o6 . ..----- ,STAR INV.ITER. 1300

STAR JBSTUCT. 2500 16ubDYRE I _______

DO('!4E 2 1300 L) .,?E 3 30U

flo4.E 4 6~ (Ypj4E S 130U

LARGEST NOO tU~l'WE t'JDED IN T I t MODEL 42

Page 205: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

L)Y' 4 E 3 300u

DYNRE 5 1 30' - ...

LARGEST NODE tNUMACH CODED I N IHlb MODEL 42

--- tT TA9LE mEAiE4N' 4HESIC,

7I

I . ~ .. :-. ..--- . .-..- . ..... . -.-...-.---.-..- . - _ _ ...-. . . . . . . . . . . . . .------- I

Page 206: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

0.NUDAL kESIRAINT TABLE - - --..---.---.-- _ __ .

140DE xi A2 X(3 A4. 35 3(6

- E>Tg AINTS , 3 . 1 1 . 1

1- I__ RA 1 *S I1

k fA rTS32 1 1 0 1 1 1 - _ _ _ _ _ _

dE:>(AINTS 420 1 0 111

_ _ - ~ ~ ~ ~ ~ ~ ~ -- ------------ --- - . . L L

Page 207: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

0* NP~UT NODAL WEIGHT TABLE00

NODE d 1 5W

W~E 164TS I *51410E*04 .51310E+04 .513I0E.O' 0. 0. 0. -. :I."TS 7. .__ ._. __ *6101lOE.04 -- _60 0 4 .6 0 0 -4 0 0.-.0 - -0

WE i HT S 8 .382i?0E.04 .38220E.04 *3d2 E-04 0. 0. 0. ~~LI'niT.5___E_ 047E0 . . - 0 04 .9792E-04 U. 0... _ 0. ___ ___

o- IuTS 16 .12et2E.05 .122,32E-05 .12252E-05 0. 00.

.A:1..J1TS. ~ 26 . .10:i3E.Ob. .10593E-05 . 10593E.05 0. _ _ 0. .... 0. . ~

.El .,TS 27 *72ouOE.04 .72860OE.04 .7486OE.O04 0. 0. 0.

WE I TS........35..... ....',o?OE.04. .40010E.04 .4*UO7OE.04 0. __ 0. . 0. WEIHTS 36 .200dOE-04 .20080E-04 *2(i0dOEU04 0. (3. 0.

f N.60,0"-E-05 *6099SDL>05 *bu999E'05 0. 0. 0.

~4tAT TABL ~EADE~0* PIPEG - . -- . ---- - --- -----..- .--..

Page 208: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

8o tEAP4 hCTI ON PRcO PENTY I AaLE . . .

SiPPORI= A J12 13S2SF - . UP4002. Ka ~ H3 . . CTORS. . .... SSF& - S73.DS WGHT

Hpoj co T RADIUS FLEX LA LIIO DENS DIST WG.HT R OFFA - OFA __ A ZOFFA XUFFO YOFFW ZOFrR

SYA SASY4 -- SZi SYC SZC

1 ~poopl 5.OOOQOOE.O2 4.OOOOOOE.O5 2.OOOOOOE*O5 2.OOOOOOE.OS 1.o00ob0EIbo I.ooooooE~OO 7 ti'j-I 1 . 3.4290 0 JE - 1 7.320 00OE +O 0... -1 .176000OE -03 .0 70T0UOE -O2 3.380000E-O1, 6.620000E-01 - .

a spp.OPI 9.000000E.00 1.6ts6OOOE*OO 1.080000E.02 4.2i2OoQOE-01 0. 8.330000E-O1 -.-- I 609CP2 .. . .000~C0O . 1.0u000E#00 1.000000E-00 ., 1.OOOOUOE*00 -. 1.000000E+00 -0. 7' b PPCP2 9.9250COE.00 r.500OUE.00 8.75OOUOE-O1 1.0000O0E.00 1.OOOOOOE.00 -0.

A- __wI?- - -P.UOOE0-.3.,0DC01--(500 0- 1.0COOO E00. ; 9,000E too-.- - ------ 0___________ 2 td iIe,P3 4.b75OOE.01 1.25o000E.00 -0. -0. -0. -0.

3.--.-- .d"Copi ...125O0.1. .3u00u0E-0i -0... ... .7-00 . . --.- 0............__- . .

4 bPkGP3 4.5000!:01 5.0ooO0oE-C1 -0. -0. -0. -0.

6.sPR0 1oooo 5.O000i0E.01-0. j-0..- -0.... .- 0.________________

- 9.6.P.R. . . ... .. 0-- . .. 0 .-- . . . . . . . . . .. . -. . . . . -- .

- ---------

Page 209: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

B0 EAM CONNECTIVITY aLt 000

NO JA J8 JC MAIL UPR PIN NZ/ H3/ LENGTH AREA -41;2 1 3 s Z SF3 - NO. NO .CODE 01). T

.4 2 3 200004.675E.01 1.250Ej.Oo 2.B2btE.01 1.787E*02 9.25SE.04 4

.627E-04 4.627E404 .511 .511 PZ'LG 2 3 -6 0001.7E6 .0E 4 .969E*02 .9E0248E2- 51 I- _ ' G__ -I _j4 4 - I 00000U 1.000F-00 -00B.0 -015,0 Z.85*2.1 01........

i,.MG~. __ 1, 0~ 0ouo 0. E.. _2369E.0 O OZ0 .4.000E.05 ?.00E05 2.000E-05 1.000 __1.000 ___ 4 4 J6OoooO .0ooE.0 1.Ooo .oo 2.369E-01 --.5OOOE.0,2 4.OOOE*05 2.600E-05 2.00E-0.5 1. 0 00 1-I. 000 o __ ~l'. 0 3 2000 .275E*01 3.300E-0 9.060E*00 1.288E-01 4

.969E.02 2.4aSE+02 2.465E-02 .511 .511 PILG 6 4 7 0 3 00004.67bE.01 J.2t~0E~o3 2,225E.ol 1.787E*02 9.25SE.04 4.627E-04 4.621E-04 - .511 -.511 1 7 9 2 0 1_4 000000 4.500E-01 5.000t:-01 9.620E+0U 6

.990E-01 3.461E-04 1.730E-04, 1.730E-04 .499 .499 -': 8 11 LO 1 5 000000 5-600E'01 b.2Z)UE-01 1.400E.01 1-081E-02 8.336E.04 4.168E-04 4..'6SE.04 .499 99 0--__ 0 9 6 1__ 0000,00 1.600E..01 5.OOOE-oi 7.d?10.oo 2.1,350.01 1.464E-03 7.319E-02 7. 3 1 9E 02 .515 .515 ____ 00A. 10 10 11 1'a 1 f 000000 '1 .CE00 E 1.0000.00 2.819E.01 S.00OE-02 4.000E-65 2

.OOOjE-05 ? .00E05 -I-ooo--y o-'?''G 1 11 -- 12 20 - COOOO 5.booO*O1 616.2t~oL-0j 1-400E-01 1.087E-02 8.336E.04 4.168E.04 4:168E-(,4 .499 .'49q I-3 12 12 37 20 1 4 000000 4.500E-01 5.0o0-01 4.6500.01 6.99oF.01 3.461E.04 1.730E-04 1.730F04 .499 .499 *E; 13 ~13.14 _36 1 000000 1.0000.oO I-OOOE-00 S.Ot'0E.00 S.0000.02 4.00.0-5 2.0000.oS 2.0000.05 1.000 1.000 t:LA IG 14 15 j4 36 1 7 000000 9.925E-00 7.5000.00 9.500E-00 3.429E-01 7-320E-00 1.17(6E-03 8.070E.02 .33R .662 9EA- * 16 16 1 0 0000 0. 1.000E.0 1 .o00o-00 2.2' -1. .5.0OOE -004ooo 5 2-OOOE-05 2.0300.05 1.003 __1.000 1E 5. 17 1 67 7 3 000000 1. OoE-06 . 0000.00 2.etOE -61 5-0 100+02 '4 .00E-05 .oo Fo 5~o 2.000E.05 1-l.0o0o . o a 17 ?-10 36 0 0 0000 9.923F00 7.50u-00 9.500E-00 3.4290.01 7.3?0E-00 1.176E-03 8.0100.-02 .3331 .66,? 04G 18 19 18 36 1 ooooj l.0oOE-;o 1.000L.Oo0 5.oboE0oU 5.0000*o2 4-OOOE05 2.OOOE.05 2.fmoE-0S 1.-000 1. 000 : E A-1C 19 20 .21 .J6 .. .0c000 1.000.00a 1.000E.00 5.060E.00 5.OOOE.02 4.0000.05 2.00('E.05 2.0000.oS.1 .000 .1.000 tIAIG 20 22 i!1 36 1 7 000000 9.92SE00 7.1OOE-00 9.' 'uF.0Oo* 3.429E-01 1.320E-00 I.17bE.03 8.0700.02- .338 .'

000010UE0 100E0 .SE+l5.000F02 e4.OooE+05 2.0000.05 2.0001>05 1.00 1.2 ___ d-G 22 16 23 36 1 1 006030 1.000E.Oo 1.000E00 2.2!>00.01 5.6ooEsu2 '.00oE*0to 2.0000.05 2.0000.05 1--.000o-- 1.000 jE~G 23 23 24 -36 1 . 7 000000 9.925E-00 7.500E.00 9.5000'o0 3.429E+01 7.320E#00 1.1760.03 8..0700.02 .338 :b62 6EtAG 24 25 24 J6 1 1000000 V.000.u 1.0000.oO S.0taOE.00 5.0OOOE02 4.0000.05 L .O0ooS0 2.0000.0 1.000 1.000 25 .30 - 26 0 -. 1 OO0000 4.500E'01 5.000E0 6.t8190.169900 3.461E.04 1.730F-04. 1.730F-04 .499 _.9 * PI.LG 26 26 2? 20 1 4. OOOOOU 4.500E01 5.0000-01 7.4060.1690.1341'4170.4170~4 .9 .49r4 - 7 3 0 5 oocOoU. 5.600E.-Of-6.250E-01 1.4000.0l1. .087E!02 .8.36F..04 4.16SE.04 .4.1(68F.04 .4Q~9 .47q ~1,rG 20 29 23 :36 1 6 000000 1.600E.01 5.OO'JE-01 7.813,0.E+00 L2.435E-O1 1.464E:.03 7.319E-02 7.319E.02 .515 ii 0AI, 2 29 3 36 1 000000oo I-OOOE-05 1.000E.00 2.111' E+Ol 5.oooE.02 4.0000.05 2-0OO0.05 2.00OE-05 1.000 .1.0o0

dA G 30 30 31 36 1 OOOOOU 1.000E-00 1.OO00O 2.7b9E*Ul 5.O000.02 4.000E.05 j!.0000.i 2.000F-05 1.000 1.00o aE-.'G .31 .31 32 .36 1 000000 6.00f00.00 3.7',0L-Ol 4.-410E.00 9.0000.00 1.69,AE-00 1.080E.02 4.22UE-0I 0.000 A 33 U 0~6 32 30 33 36 1 1000000 I.0000.00 1.000E.00 2.109E.01 5.00o0.o02 4.000E+ 5 2.0000.05 2.OOOE.05 1 .000 1 .000 EA".-3 -3 3 ] 3 4 -J 6 W...~.000 .o0o .T0-1~:1E0 .00o .8~~ 0 100.2420-1.0 _.3

I-LG 3 4 3 0 36 20 1 4 0 0 0 . 0 . 1 b 2 0 - o 1 4 0L 0 1 . 8 7 0 .02 8 3 3 6 E 0 4 4 .16 2 C .04 4 .16 9 0 .0 4 .4 9 9 .4 9 9 U~.3 3 3 6 2 00000 4.500E-01 5.0000-01 2.813E-01 6.990E-01 3.461E-04 1.730E.04 1.730E-04 -. 499 .4- 9-Ir'rG 26 37 165 L0o 9 000000 4.600E.01 1.0000.00 1.602E-01 1.414E-02 7.160E.04 3.58OZ>04 3.580E-04 -. 507 .507 £-.3.37 16.. 38 20 1. 9 oOU 00 4.bOOE-UlI 1OOOE.00 1.118E.01 1.414F.02 7.160E*04 3.580.04 3.560E:.04 .. 507 i07_ G-' 38 11 39 36 1 1 000000 1.00oO 0o 1.00'1E00 2?9.I5.0000.02 4.0000.05 2-OOOE-05 2.GOoE-05 '1.000 i.000 4 I 1 J6 1 1000000 1.OoUE>o 1.O0oE.Oo 2.t169E*01 5.0000.02 4.OOOE*05 2

.000OL#05 2.000E-05 1.000 1.000 '3 G 4j 411 42 36 6 000000 6.000f.+00 3.7SOE-0I 4.jIoE*00 9.0000.00 1.638E00 1.080E.02 4.2200-01 0.000 .1333 j

_ _ _ _ _ _ _ _ _ _ . . . . . .. . . . .

Page 210: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

8 AE-AM 0A TA T A )L E 2 -. . ~ ~L~0W LEXIBILI TY. EL83'w aEA4 XZ-OIR.COSINES __

No WJEIGH1T CTURS . SSF2 SSF3 RADIUS FACTOR~ ANGLE xi X2 X3

X'G 1 0. 2.337E-01 1.999E-00 1.9v9E*00 0. 0. 0. 1.000E-00 0. 0. Pi'-r.G -2-. 0. 6.375E.00-1.999E.00 1.999E+00 0. 0. 0. 0. -0. -- 1.OOOE#00

EAME A 3 0. 1.O0iiE*00 1.000E-00 1.O0OE-00 0. 0. 0. 0. 0. -1.O00E-00 d.M. ~ - -- ..... A .00 i00 . Q0..AOo-..00L..O.0. ~ . .....0,*.__ 0 - - -0 1. 1. 0 0 0 E 00.. ._

PIrLeG 5 0. 6.375E-00 1.999E-00 1.999E-00 0. 0.0'.0.-. E0O

le E -3 6 0..-- 2.337E.01 1.991E.00 1.999E+00 0. 0. 0.1OO.0 0. 0. PIlL6 7 0. 2.2SiOE.01 2.0ouE*00 2.OOOE.00 0. 0. 0. 1.OOOE.O0 0. 0.

P 1 8- 0.-. 2.'i0OE.01 if.OOOE.OO . 2.OO00000 0. - -. 0. 0 - 1.O0OE.00 0. -. 0. P, t, 9 0. 8.000E.00 I.q)9,IE.00 1.994EL.00 0. 0. 0. 0. 0. -1.OOOEO00

- ' P ..__ 1.OUE0'..1.00IOE-u0 - 1.000E"-0 0. -__ .OO.000i 11 0. 2.'-10)E.0k 2.000F-0O 2.OO00 0. 0. 0. 1.OOOE.00 0. 0.

r' 12 -O. 2.25UOE-ol 2.OOOE.00 ?.0001.-00 0. ---. 0. _ 0. 1.O0OE.00. 0. 0. -

~-~ 13 0. I.OC0E.00 1.OO0t000 1.00OE.00 0. 0. 0. 0. -1.OOOE#00 0. 'S A4 .. 0. ... 8.75OF.-01 1.000E-0-0 1.OO0E-00 0. ___ 0. ____ 0.......0. . 0. -1.OOOEo00 -AG 15 0. 1.00CE.Oo 1.0001>00 1.000E-00 0. 0. 0. 0. 0. -1.000E-00

- I~. 6 D.~ 1.00(01>00. I.00OL-00 . I .OOOE+00, . ____0~ 0. -0. ------ -I.OOOE.00.____ ~G 17 0. 8.731,-01 1.Oo0E-00 I.O0uE-00 0. 0. 0. 0. 0. -I.oooE-oa

0.I~,uEoo1ooE-0I.UU-0 .0. .0. 1.OOOE.00 0. *3,' 19 0. .. .1.OlUE.00 1.O0uL-00 1.OU0E+00 0........ 0. -.0E0 .0

20 0. 8 .75 E-01 1.00UE.O0 1.000C.00 0. -__ 0. . ---- 0., __00E0

0._0 -1.300OE-00 lA G 21 0. 1.OCoE*00 1.0ouE-0O 1.OOOE.00 0. 0. 0. --.OE0

G____-. 8.70E-ol .. '00 00 I.UE.00 0. 0. 0. 0.- 0. -1.OO00 _________

t Ai 23 0. 75u I.OOOE* 0O0 1.000E+000. 0. 0. 0. -1.000E+0 000 PlEA'4G 25 0. -. .000E*01 i.OCOE*00 .. 000100 0. - -0. - 0. ___1.000E+00 0. _ 0.--------__

P I.- .C 25 0. 2.25%'Eo0 2.00(if.0O 2.OOOJE-00 0., 0. .. 0000 0. 0.

1,t G 27 0. 2.80uE-o1 2.0001>00 2.000E#00 0. 0. 0. 1-000E.00 0. 0. ~~~~~~o E o. -1E 0.999E*00<--I.9149E.00-~0., - ____ __ 00 -1.0 0 E o ________

6 AG 29 0. 1.003E.00 1.0.OFuE00 I.OVOE.00 0. 0. 0. 0. .0. 1.O00 S30. .0. 1.00J)E-00 1.(0oUE.00 I.003E+00 -0. 0. __ _ 0. _ _ .01.0OOE:00 ___

.E GC 31 0. 7.59Ut.-ul 1.0011>00 I.oout<.00 0. 0. U. 0. 0. -1.000E-00 .3 -' 32 -0. 1.000E-o0 1.0OuE.0 1.000E-00 U. -- - 0. 0. - 0. 0. -1.OOOE-00

OL~AMC 33 0. 7.50CE-(,1 1.00OE-00 1.OO0E-00 0. 0. 0. 0. 0. -1.0OOE-00 ?__ I - - 2.rBOE.01- .. 003E 00-2.000 00 0-... -.... ____ . ______.OOOE.00.0.-0.. _____0.. ________

PI~ 2r.r 5 0. 2.250OE.01 2.00UE>00 2.000E+00 0. 0. 0. 1.0001>00 0. 0. p.. je','-G . 6 0. - 2.300E.01 I.949L .00 1.999E.00 0. 0. 0. I.OOUE.(o0 0 . 0.

P ItG 37 0. 2.30OC.01 1.999iE.00 1.99,iE.00 0. 0. 0. 1.000F.00 0. 0. AI6 9----- -1OODE-00 i.OOUE*00 I.000OE.00 0. 0 o 0. - -. J36E-0 0 . -.9E

6E Au 39 0. 7.500E-01 I . O0OE - 0 I.00tiE.00 0. 0. 0. 0. 0. -1.000E-00 -z~v G.-4OQLIE..0-.-.OOUEI00 l-0..A-.OO00 - 0. 0 .... ... .. 0 .1. 3 -. 99-9LE __-_0__1

d I 41 0. 7.900E-01 I .0 0 U E*0U 1.0JOOE+00 0. 0. 0. 0. 0. -1.0O00E-00

*0NOT [CE* a DJEFAULT LOCATIONS FUq STR~ESS PopiTS ki AND C

D. tAY.-E-.dEEN. CriANGEDJ.ROM TtOSE .t!4' PAGE.. 61-120 - TO.-~_______

0 (h120 FOR 8 AND (0.113/2) FORL C. FOR PIPES* . . . . . . . . . . . . . . . . . .

IS1EJ''fA f 2AN 3

Page 211: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

0 E A M A TAd

_----.--.-j-SENI. OFSLYS_ .. HQMki NUE SA..6LAL)._ -~USE R--$PE CIFIED STRESS LOCAT IONS (ELEMENT)

-- OFSET AT, A ENU - - OFFSET AT 8 END - POINT' A'---- POINT 0 - - POINr' C

PI-___o . . . . ... ._0 , - ._ .0. 2 _ .337E-01 0..0..4E0 PljcG 2 0 0. 0. 0. 0. 0. 0. 0. 6,375E600 0.,0 6 33E.00

~~G 4 0. 0. . .. 0. 0. 0. 0. 0. 5.0001l-01 0. 0. 5OOE-01 I . ~ .. PI.G 5 0.--------.. 0. 0. -- 0. .0 0..__ 0. __ 6.375E.00 0.......0. __ 6.E.o0

6 0. 0. 0. 0. - . 0. 0. .. 0. 2.337E-01 0. 0. 2.34E-01 G 7 0. 0..._ 0. 0. 0-(. -0. 0. 0.. 2.3371.01 0. 0. 2.2tif1.0 1

a 0. 0. 0 0. .0. 0. 0. 0. 2.800E-01 0. 0. 2.80E-01 ____.6.. . 0.Q 0__ 0. 0. E,____ 8.01 0. 0. 4,00__'3OE.O _______

_-*' ID 0. U. 0. 0'. 0. 0. 0. 0. 5.UUOE-01 00.5-OOE-01 _.'I~cG . .11 0. -- _0 __.......0 __0. . _0. 0. _ __0. __ .2.800E-01 0.: 0 . 2.-IE0

;',,r G 12 0. U. 0. . 0. 0. 0. 0. 0. 2.23.>E.01 0. 0. . iEo 13- - * A3, 9.0 - 0 0. 0.- 0. .___ 0. 5. OE 1-0 1 0. _ __ 0. S-OOF-01

-,_ 14 C. 0. 0. 0. 0. 0. 0. 0. 4.93E-100 0. 0. 3.75E.00 o...... .c...... 0 0. . U.0. _ _5.o001-01 .0._ 0 5.00E-01 _____

3 1A 0. . 0. 0. 0. 0. 0. 0. 5.0001-01 0. 0). 5.001-01 -- Ii .50 - 1- . 0. . . .0. - 0.. .0. 0. 0. 4:963E-00 0. 0.- 3.75E.0f

6- G 1ig 0. . 0. 0. 0. 0. 0. 0. 5.0301-01 0. 0. 5.001-01 ::- .19 0. . .0 . o- . 0._. 0.. -- 0. 0., _0 5.000E-01 0. 0. 9.00E-01 __

-2E-.V5 20 n~. 0. 0. 0. 0. 0. 0. 0. 4.963E-00 0. 0. 3.75E-00 "71 ._____0 ____0 . ~ .0 _____0 ~ .____ 0. _ __5.000E-0 1 0. - -___ 0._ _ __S________

-3> G 2 0. -U 0: 0. 0. 0. 0. 0.........S.OE-01 0. 0:..~CO 0. . 23 0 _-.0 o . 0 4.963E-00 0. 0. 3.75E.00

'~24 0. 0. 0. 0. 0. 0. 0. 0. 5.0001-01 0. 0. .5.001-01 P I G 2-, 0. . 0. 0. _ _ 0. __ 0.- - 0. 0. _ 0. 2.250F-01 0. 0. 2.25E-01

C1 25 C. U. 0. 0. 0. 0. 0.0. 2.250E-01 0. 0. 2.25E-01

P. G___ 800 . .0 2.qOE-l _______ ~I-'G 2R 0 0. 0. 0. 0. 0. 0. 0. 8.0001.00 0. 0. 8.0-)E-00 ~AG 214 c.. 0. 0 . - 0. __ 0. 0.- 0. 0. 5.0001-01 0. _ 0. __ 5.001-01 .3E-''G 30 0. 0. 0. 0. 0. 0.0. 0. 5.0001-01 0. 0. S0E1

E . ,3 31 0. - 0. -0. 0. _ _ 0. - 0.. 0. 3.00EQ.00 0. _ 0. 83E0 .3A 3? 0. 0. 0. 0. 0. 0. 0. 0. 5.0001-01 0. 0. .00-01

_____..0.______ .0.._____ 0 ____ 0..~ .0, ... 3.UOEQ0.-0.____0 __ Id1 GI~L 34 0. U. 0. U. 0. 0. 0. 0. 2.810E-01 0. 0. 2.80C-01

PI'rG 35 0. 0. 0. 0. 0. 0. .. 0.............2_2 iE.01 0. __ 0. __ 2.25E-01 Pi-LG 36 A. - 0. 0. 0. - 0. 0. 0. 0. 2.3001*01 0. 0. 2.30E-01

p I -.G 37 (1.------0. -U. - 0. . 0.-_ 0. 0. . 0. 2.300E.01 0. 0 . 2. 3 0E 0 1

330.0_ 0. . , 0 _ __ _ 0.. ____.0. _____3.000E*000 - -8.E-0___

6Ek G 43 0. 0. 0. 0. 0. 0. 0. 0. 5.0O0E-01 0. 0. S.OOE-01l

Q0.~LAT TA9LE HEADER*.*- CLND4O

AAAAKXX(XXAXAAXAX LNO OF tEOMEfRY DATA XXAAAXAXAXAxAXX.

Page 212: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

0*o FINAL UWEI'HT SUMMARY *o_ - -- --. .. (INCLUUOS LLEMENT AND N)ALWEI TS .

77 kmT .51.71:: E;L7.- 530*4 .-.-.57;:Q E 404 0. 0.- y W ~ - ~.6 .- .-.

WE oq 7. l d E 0 . 10 0 04 . 1 8 E 0 0. 0. -

-FjfT _ .3'7~ -0 . ? ~~ E . - *722160E04 ... U .7 N60. 0. 0. 'OE ~0. 0 WEIU.4TS 12 .970iQE a04 .9070E:04 .9427E40'. 0. 0. 0.

I -E,"T 2 6 . - * 9c'E.O4 . .0590E.0's .10593OE-05 0. .0. - - 0 f ~ ~ ~ W I j:.Ai l _ _ __ Z__ - -. .. * 670' 9E - . 0 . 7286~ 00 .760t -04 0O . 0.__ _ 0. _ _ _ __ _ _ _ _ _ __ _ _ _

- - -. ~CENTE R OF (.RAVIT.y dASEO UN X1 WEIkiHTS ONLY. *.----- ---..-- -- -----. (WE I GiTS I N NN-GLOHAL 0 1c.CrL; 114 WILL I NVAL IDATE IL SUL TS5).-

Al =0.

A3 = .197-3o62o6E,~,3 -------- ---- -- ___ _ __________

CENTER OF GRwAVITY .4ASED UN Q WEIu'ITS_ ONLY ---- . (WEIGHTS IN NON-GLOBAL DI.LLCIJONS WILL INVALiOATE.RESJLJSI _. ~

A2 = 0.

-- . .~ .CE'JTER -F _GRAVI TY .1ASED ON 13 WE IONTS. ONL.Y. .. . . . . .- . - .-. .- .- -- _ (wEIGHTS IN NUr4-(L04AL DIRECTIU14S WILL INVALIDATE RESULTS)-4

Al= 0.

0.4 A3 .1736626E*.

Page 213: P. T. Balamotis 14 · Gere and Weaver, Analysis of Framed Structures, Van Nostrand Reinold Company, New Yorlk_,New York, 1965. S. ASME Boiler and Pressure Vessel Code, Section II,

4

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