Dl STRl BUT10 N SHEET To Di 1 I 1 I EDTNo.

.
Dl STRl BUT10 N SHEET To D i stri but i on 1 ;:aging Engineering
I Page 1 of 1 I Date May 26, 1995
Project Title/Work Order I EDTNo. 608489 Sodium Loop Framework Structural Analysis
Name MSlN I
P . M. Nguyen 62-02 Central F i 1 es L8-04 F i 1 e (WHC-SD-TP-ANAL-003) 62-02 OSTI (2) L8-07
. Text With All Attach.
X X X X
DISCLAIMER
This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government nor any agency thereof, nor any of their employees, make any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or
. any agency thereof.
DISCLAIMER
~~~ ~ ~
5. Proj./Prog./Dept./Div.: 6. cog. Engr.:
8. Originator Remarks:
84100 P. M.* Nguyen k LO
For Approval OM& f b \ e a s
Packaging Engineering
11. Receiver Remarks:
15. OATA TRANSMITTED (El T i e or DesMiption of Data
Transmitted
(C) (D) Sheet I (B) DocumsnVDrawIng No. I No. I ",".'.. I
No. .
1 WHC-SD-TP-ANAL-003 . 0 Sodium Loop Framework St ruc tura l Analysis
I 1 I I
I I I I
~~~~~
9. Equip./Component No.:
NR
14. Required Respons'e Date: May 26, 1995
(F) (GI (H) 1 (:r) Approval Reason Origi- Receiv-
Desig- for nator nator Trans- Dispo- DiSpO-
mittal sition sition
..-. I V.
(SEE WHGCM-3-6, 2. Release 5. Post-Review 2. Approved wlamment 5. Reviewed w/amment
- . - . PM Nguyen
BD-74b0-172-2 (04/94) GEF097
Approved Approved w/comnents
Document Number: WHC-SD-TP-ANAL-003, Rev. 0
Document Title: Sodium Loop Framework S t r u c t u r a l Analysis.
Release Date: June 6 , 1995
.This document- was reviewed following the procedures described in WHC-CM-3-4 and is:
APPROVED FOR PUBLIC RELEASE
June 6, 1995
TRADEMARK DISCLAIMER. name, trademark, manufacturer, or otherwise, does not necessari ly constitute or imply its endorsement, recomnendation, or favoring by the United States Government or any agency thereof or its contractors or subcontractors.
This report has been reproduced from the best available copy. Available in paper copy and microfiche. Printed in the United States of America. Available to the U.S. Department of Energy and its contractors from:
'
U.S. Department of Energy Office of Scientific and Technical Information (OSTI) P.O. Box 62 Oak Ridge, TN 37831 fetephone: (615) 576-8401
Available to the public from: U.S. Department of Comnerce National Technical Information Service (NTIS) 5285 Port Royal Road Springfield, VA 22161 Telephone: (703) 487-4650
A-6001-400.2 (09/94) WER56
DECLAIMER
This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government nor any agency thereof, nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Refer- ence herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, rewm- mendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof.
1
4 . Rev No.
0 2. Title
Sodi um Loop Framework S t r u c t u r a l Analysis
Sodium loop, sodium metal 5. Key Words
7. Abstract
Name: P. M. Nguyen @5123/% P’@t-YW
Signature
Organitation/Charge Code 841 00/B6012
.
3.0 REFERENCES . 2
i i
1.0 INTRODUCTION
The Sodium Loop framework is scheduled t o be . t ranspor ted from the Hanford S i t e near Richland, Washington, t o LM Manufacturing, Ltd.? i n Marysvi l le , Washington. the U.S. Department o f Transpor ta t ion requirements. However, t e s t i n g i s not economically f e a s i b l e ; t h e r e f o r e , an ana lys i s has been performed .to determine the structural i n t e g r i t y o f the framework i n a drop a n a l y s i s similar t o the . one requi red f o r ~ Packaging Group I packaging.
The framework is requi red t o be t r anspor t ed i n accordance w i t h
2.0 SUMMARY OF RESULTS
The drop test required ' f o r Packaging Group I is def ined t o be a drop of 5.9 f t onto a r i g i d , n o n r e s i l i e n t , f l a t and horizontal su r f ace . engineer ing c a l c u l a t i o n results :how t h a t the Sodium Loop framework can su rv ive the 5.9-f t drop, a s descr ibed above, using a wooden box made out o f . white f i r a c t i n g a s an overpack ( see Appendix, "Calcula t ions") . eva lua t iqn is based on the conserva t ive c l a s s i c a l l i n e a r e l a s t i c methods, which addresses the dynamic loadings r e s u l t i n g from the drop as s t a t i c equ iva len t loads . I t is assumed that . the time of the loading is r e l a t i v e l y long, as compared t o the na tura l per iod o f the package. In add i t ion , the eva lua t ion assumed t h a t a l l packaging metal ma te r i a l s a r e d u c t i l e , i s o t r o p i c , homogenous , and f o l 1 ow Hooke ' s 1 aw.
The
The '
-
The a n a l y s i s was performed f o r the package only i n the f l a t bottom drop s i t u a t i o n . This pos i t i on is determined t o b e the most unfavorable o r i e n t a t i o n f o r the package i n accordance w i t h the Shock V ibra t ion Handbook (Harris 1988). The s tudy analyzed the cri t ical structural components. The components are .
evalua ted wi th the dece le ra t ion loadings from the drop. The stresses a r e eva lua ted a g a i n s t the dynamic y i e l d values f o r the materials. Accep tab i l i t y of the structure is es t ab l i shed from a p o s i t i v e margin o f s a f e t y r e l a t i v e t o the stress value.
Based upon the design conf igura t ion and o r i e n t a t i o n o f the drop, a por t ion o f drop loading energy is absorbed by the wood being crushed; i .e . , the energy i s absorbed by the crushing ac t ion o f the wooden box. The crushing load is obta ined by r e l a t i n g the wood deformation t o the crushed volume and the drop energy. The load is t r ansmi t t ed t o the framework l egs . The l e g s a r e eva lua ted by modeling them a s Euler columns. This determinat ion is based on the r a t i o o f the length of the column w i t h respect t o the r a d i u s o f gy ra t ion of the l e g . The margin of s a f e t y o f the l e g s shows t h a t the l e g design is, sufficient t o withstand the drop loading.
contained. o f the p ipes w i t h i n the framework, i t i s assumed t h a t there is banding a t each
. I
!
, I The eva lua t ion is performed f o r the p i p e i n w h i c h the sodium is
Based on the r e s t r a i n i n g method employed t o minimize the movement
WHC-SD-TP-ANAL-003 Rev. 0
of the pipe bends. from the drop. s t a t i c f l u i d weight. design i s adequate f o r the loading s i t u a t i o n .
The loading f o r the pipe is the reac t ion loading produced The pipe i s modeled a s a c i r c u l a r r i n g loaded by an i n t e r n a l
The margin of s a f e t y f o r the pipe shows t h a t the p i p e .
The a n a l y s i s i s a l s o performed f o r the Sodium Loop without the wooden box overpack. The eva lua t ion method is s i m i l a r t o the one performed f o r the framework w i t h the wood box overpack. The drop dece le ra t ion va lue i s obtained i n accordance w i t h the Shock V ibra t ion Handbook (Harr i s 1988)'. The eva lua t ion result f o r the Sodium Loop without the wooden box overpack shows t h a t the framework . legs will buckle under the load, and the pipes conta in ing sodium will y i e l d wi th , the loading from the drop. t h a t the wooden box absorbs the major i ty of the drop energy, and as such, the framework and consequently the sodium pipes will no t be damaged due t o the loading from a drop he ight descr ibed above.
The framework is scheduled t o be shipped one-way only; hence, the expected c y c l i c loading on t$e containment pipings i s less than the c y c l i c lo2ding f o r mater ia l w i t h 10 cyc le s . 10 cyc le s ; t h e r e f o r e , f o r component w i t h loading cyc le of less than 10 , a f a t i g u e a n a l y s i s i s not requi red .
The sodium pipes a r e expected t o experience condi t ions well w i t h i n the design pressure; t h e r e f o r e , p re s su r i za t ion ana lys i s i s not requi red .
I t i s recommended t h a t the wooden box overpack be u t i l i z e d f o r the Sodium Loop t r a n s p o r t campaign.
Clear ly , the result demonstrates
The f a t i g u e d a t a f o r mater ia l st2rts a t
3.0 REFERENCES
Committee of S t a i n l e s s S tee l Producers - American Iron and S tee l Insti tute, 1977, Designers' Handbook on Stain7ess Stee7, Washington, D. C.
Ha r r i s , C. M., 1988, Shock k b r a t i o n Handbook, Third Edi t ion, New York, New York.
U. S. Fores t Products Laboratory, 1974, Wood Engineering Handbook, Engl.ewood Cliffs, New Je r sey .
WHC, 1971a, Drawing No. H-3-35473, HTL #1 Transient B-Pass Loop Arrangement, Rev. 5 , Westinghouse Hanford Company, Richland, Washington.
WHC, 1971b, Drawing No. H-3-35477, HTL #1 Transient By-Pass Loop Enc7osure Frame, Rev. 5, Westinghouse Hanford Company, Richland, Washington.
Young, W . C . , 1989, Roark's Formu7as f o r Stress & S t r a i n , 6 th e d i t i o n , New York, New York.
2
I.
If.
111.
' Drawing H-3-35477, Doc. No. WHC-SO-TP-ANAL-003 P gel- of 2 Bui 1 ding Rev. 0 Job No. Subject O r i g i n a t o r T. M. Kaufman H. Date 5/03/95
Weiaht and Center o f Gravitv o f Sodium Heat Transfer LOOO
. .
0b.iecti v e s :
The o b j e c t i v e of this a n a l y s i s i s t o determine t h e weight and c e n t e r o f grav i ty of the Sodium Heat Transfer Loop, S e c t i o n 111.
References:
1.
. .
ASM I n t e r n a t i o n a l , Metals Handbook, Volume 1, Tenth Edi t ion, 1990.
2. Beer, Ferdinand P:, Johnston, Jr., E. Russell, Mechanics of Materials,
3.
McGraw-Hill , Inc. , 1981.
WHC Drawing No. H-3-35473, "HTL # l Transient By-Pass Loop Arrangement,'' H-3-35476, "HTL $1 Trans ien t By-Pass Loop Enclosure," H-3-35477, "HTL # l T r a n s i e n t By-Pass Loop Enclosure Frame," and .SK-3-16218, "HTL $1 Transient By.-Pass Loop Piping Details: I'
2nd Edi t ion, CBS Publ ishing, 1984. 4. Gai ley, K. D., Whitten, K. W., General Chemistry with Qualitative Analysis,
Resul t s and Conclusions :
The weight and center o f g r a v i t y ca lcu la ted a r e es t imates and a r e t h e bas i s f o r o t h e r engineer ing eva lua t ions appl icable t o t h e Sodium Heat T r a n s f e r Loop. Center o f g r a v i t y values a r e a l l r e l a t i v e t o Figure 1. piping is assumed t o be f i l l e d with sodium.
For conservatism, a l l the
T o t a l weight of t h e s e c t i o n ( includes t h e frame, panels, piping, sodium and o t h e r miscellaneous i tems):
4,600 l b (2,087kg)
Center o f g r a v i t y (x, y, z coordinates) : cg, = 4.76 f t (1.45 m) cg, = 7.93 f t (2.42 m ) cg, = 3.26 f t (approx. 1 m)
3
IV.
ENGINEERING ANALYSIS
Drawing H-3-35477 Doc. No. WHC-SD-TP-ANAL-003 Page;! of 24 Building Rev. 0 Job No. Subject
Checker P . M. Nauven ohhd Date 5/05/95
Weiaht and Center o f Gravity o f Sodium Heat Transfer LOOD Originator T. M. Kaufman 1711% 'Date 5/03 1%
i
(Front)
/ (Right Sfde)
I 14'0'
C4x5.4 (3 each): wpf,, = 5.4 - Ib L = 114 i n f t
wfi = 3wpf,,L -
Weight of Enclosure Frame: (Refer t o Reference 3)
Elevation (front): . .Ib ft
wpf, = 9 . 4 -
L3x3x1/2 (3 each): . L = 14 f t L = 1 6 8 i n
w f l = 3wpf,L wfl = 394 .8 lb
L1 1'/2x1 1/2x1/4 (3 each):
L = 8 2 h lb f t . wpf;., = 2 . 3 4 -
wf, = 38.7 lb
Elevation E-E ( l e f t side): C4x5.4 (3 each) :
L l 1/2x1 1/2x1/4 (2 each): . .
L = 6 f t
4
wu. = 97.2 Ib
Drawing H-3-35477 Doc. No. WHC-SD-TP-ANAL-003 Page2 o f 24 Building Rev. 0 Job No. Subject
Checker P. M. Nauven O l h nl Date 5/05/95
Weiaht and Center of Gravi ty o f Sodium-Heat Transfer LOOD Originator T. M. Kaufman j7n T(J Date 5/03/95
C4x5.4 (1 each) : L = 8 2 b w, =.wofcaL w2 = 3 6 . 9 Ib
w,.= w, + WIZ + w u W, = 166.08 Ib Total weight o f l e f t side:
Elevation F-F (right side) : C4x5.4 (3 each) :
L1 1/2x1 1/2x1/4 (1 each):
L1 1/2x1 1/2x1/4 (2 each):
C4x5.4 (2 each) :
C4x5.4 (1 each) :
C4x5.4 (1 each): '
.
L = 6 f t WI1 = 3wpfc4L WII = 9 7 . 2 Ib
L = 6 f t W,Z = wf,.sL wZ2 = 14 .04 lb
L = 5 2 . i n . WI3 = 2wpfLl.SL wIa = 20.28 Ib
- L = 8 in wr4 = Zwpf,,L
Wrs = wf,,L
* w14 = 7 . 2 lb
L = 1 6 h
W, = 182 .82 Ib
E7 evati on G-G (back) : C4x5.4 (3 each) : L = 114 in
L1 1/2x1 1/2x1/4 (2 each):
L1 1/2x1 1/2x1/4 (3 each):
L = 7 2 h '
L = 8 2 h
L3x3x1/2 (1 each):
C4x5.4 (1 each) :
C4x5.4 (1 each) :
L3x3x1/2 (2 each):
L = 1 4 f t
Total weight o f back side: wb a wbl + wb2 + wm + wb4 4- wbS + wbS wb7 + Wb8 W,, = 634 .65 Ib
Plan C-C ( top): C4x5.4 (4 each): w, = 4wpf,,L C = 6 f t wu = 129.6 Ib
5
Drawing H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 Page2 of 24. Bui 1 di ng Rev. 0 Job No. Subject
Checker P. M. Nauven P W J Date 5/05/95
.. ~.
Weiaht and Center o f Grav i tv of Sodium Heat Transfer LOOO Originator T. M. Kaufman IM HI Date 5/03/95
C4x5.4 (1 each) : L = 3 f t Wz = wpf,,L wt2 = 1 6 . 2 Ib
C4x5.4 ( 1 each) : L = 5 7 i n w= = wpf,L wu = 2 5 . 6 5 I@
C4x5.4 (1 each) : L = 1 8 i n Wt4 = *fC&L w,, = 8 . 1 Ib
C4x5.4 (2 each): L = 2 1 i n wts = wpfc,L wts = 9 . 4 5 Lb
Total weight o f t o p side: w,_= wu f wtz f wu f w:, f w- W, = 1 8 9 ' I b
P1 an A-A (bottom) : C4x5.4 (1 each):
P1 an B-B (hori zontal m i ddl e) :
L2x2x1/4 (1 each):
C4x5.4 (2 each): L = 6 f t
Total weight of horizontal middle section:
PI an D-D (verti cal m i ddl e) : L3x3x1/2 (1 each) : L = 14 f t
L2x2x1/4 (3 each):
L2x2x1/4 (2 each):
C4x5.4 (2 each):
LZx2x1/4 (1 each):
L = 8 f t
L = 6 f t
L = 6 f t
L = 6 f t
Total weight of vertical middle section: w, = w, w, f wv3 + wv4 + w,
W,,, = 32.4 lb
w, = 19.14 lb
w, = wu f w, wh 83.94 Ib
w, = wpf,L
w, = 3wpf,L
wv3 = 2wpf,L
WV, = Zwpf,,L
wv3 = 38.28 Ib
Wv = 330 .38 Ib
WHC-SD-TPTANAL-003 Rev. 0
Drawing H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 P a g e 2 of 24 Building 6 Rev. 0 Job No. Subjec t O r i g i n a t o r T. M. Kaufman Date 5/03/95 Checker P . M. Nauven $? Date 5/05/45
!
Encl osure Pael s : (Refer t o Reference 3 f o r t h i s sec t ion)
Thickness o f panels: t = 1 & 16
Ib in3
p = 0.284 - Density of carbon steel (Reference 2):
West El evati on : w-1: L = 4 2 w, = p L h t w, = 6 4 . 1 1 Ib
w2 = 51.9 Ib
w-2: t = 3 4 in
w-3: L = 38
W-4: L = 42 in w, = p L h t
w-5: L = 4 f t w, = p L h t
w, =. p L h t
ws = 69.86 Ib
Observation window:
h = 13.5 in G 1 a s s : L = 17.5 in
Carbon steel : wSe = p L h t wse = 4.19 Ib
Total window weight: wv, = wglass + Wst WV, = 5.36 Ib 1
~t d2 4
wbh = -Lp Bar handle: d = 0 . 5 in L = 6 i n wbh =.o .33 Lb 4
Total weight of west e leva t ion : W" = w, + w, + w, + w, + w, + w, + w,, + W, = 339 .82 Ib
South Elevation: s-1: L = 6 f t h = 5 2 h
h = 6 f t
h = 6 2 h
s, = 66.46 Ib
s, = 43.45 Ib
s-3 : L - 3 8 h
7 I
ENGiNEERlNG ANALYSIS
Drawing H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 P a g e 1 o f 24 Bui 1 d i ng Rev. 0 Job No.' S u b j e c t Checker P . M. Nauven O W J Date 5/05/95
\
Obse rva t ion window: L = l 8 &
s, = Lhtp
h = 6 2 i n
h = I O i n
T o t a l we igh t o f sou th e l e v a t i o n : ws = SI + s, + s, + s, + S,h
East E1 eva t ion : E-1: L = 4 2 . 5 in
E-2: L = 6 ft
E-4: L = 6 ft
E-5: L = 4 ft
E-6: L = 45 in
h = 86 i n
h = 2 f t
h = 8 2 i n
h = 8 2 i n
h = 8 2 &
e, = pLht
e, = pLht
e3 = pLht
e, = pLht
e, = pLht
e, = pLht
e, = pLht
T o t a l we igh t o f east e l e v a t i o n : We.= e, + e, + e3 f e, + e, + e, + e,
P l a n C-C: T-1: L = 3 6 in
T-2: L =36 in
T-3: L =36 in
s, = 37 .4@1b
h = 6 ft
h = 3 ft
h = 3 ft
e, = 35.78 Ib
e; = 30.67 Ib
e, =-43.45 lb
e, = 69.86 lb
e, = 65.5 lb
e, = 30.57 lb
t, = 4 6 . 0 1 Ib
t, = 2 3 Ib
t, = 2 3 lb
t, = 26.84 Ib
aGINEERING ANALYSIS
Drawing H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 P a g e l o f 24 Building Rev. 0 Job No. Subject. Originator T. M. Kaufman ' Date . 5/03/95 J rn'
P. M. Nauven a d Date . 5/05/95 Checker
Weiaht and Center o f Gravitv o f Sodium Heat'Transfer Loou
Total weight o f plan C-C: w,, = t, + t, + t;+ t, + t, + t, W,, = 145.69 .lb
North Elevation: N-1: L = 3 4 - i n h = 8 6 h n, = pLht Il= = 51.9 Ib
N-2: L = 38 in h = 8 6 h n, = pLht . n, = 5 1 . 9 lb
N-3: L = 2 ft h = 8 2 i n . n3 = pLht n, = 34.93 lb
N-4: L = 2 ft h = 8 2 h n, = n3 n, = 3 4 . 9 3 lb
N-5: L = 2 ft h = 8 2 i n n, "h, n, = 3 4 . 9 3 lb
Observation window: L = 17.5 in h, = 5.36 Ib h = 13.5 in . n., - -w-
Total weight of north elevation: W, = 4 + 4'+ n, + n4 + n, + r&, W, = 220.06 lb
Section 0-D: DD-1: L = 2 ft h = 8 ft dd, = pLht dd, = 4 0 . 9 lb
DO-2: L = 14.5 in h = 8 ft dd, = pLht dd, = 2 4 . 7 1 lb
00-3: L = 3 3 . 5 . h h = 8 ft dd-, = pLht dd-, = 57.08 lb
DO-4: L = 4 ft . h = 6 ft dd, = pLht . dd, = 61.34 lb
00-5: L = 2 ft h = 6 ft dd, = pLht dd, = 30.67 lb
Total weight for sec t ion D-D: .
W, = dd, + d& + dd-, + dd, + d$ W, =.214.7 lb
9
Drawing H-3-35477 DOC. NO. WHC-SO-TP-ANAL-003 P a g e 8 O f 24 Bui 1 d i n g Rev. 0 Job No. S u b j e c t O r i g i n a t o r T. M. Kaufman Date 5 /03/95 dM f, Checker .P. M. Nauven OMJ Date 5 /05/95
\
T o t a l Weight o f Encl osure Panels: Wzanels = W" + w, + w, + w,, + w= + w, W3anels = 1,454.22 Ib
TOTAL WEIGHT OF FRAME AND PANELS: Wf, = 3,721.46 Ib Therefore, W,, = 4,000 lb W t p = Wfx- + Wpanels
Weight o f P ip ing: ( R e f e r t o Refe rence 3 f o r t h i s s e c t i o n ) ,
lb in
Dens i ty o f s t a i n l e s s steel t y p e 304 (Reference 1): Pateel = 0 e 285-
Ib in
Pna = 0 . 0 3 5 - Dens i ty o f sodium (Reference 4, p . 920) :
T o t a l l e n a t h o f item 12 oiue:
L12:
14 8 22 8 - f - + - + - 1.2 [ 16 16 16 16 L,, = I I k
a 21 17 17 21 10 21 + - + - + - + ~ + - + - - + - + - ? - 16 16 16 16 16 16 16 &J
16 16 16 16 16 16 16 16
6 11 14 8 26 11 [ 1'6 16 16 16 16 16 16 - +1.5+-+- f - f - + A + - + 2
in + - + - + - - + - + 3 + - + - + - + - 15 20 10 20
16 16 16 16 16 16 16 16 28 4 12 8 I L,c =
18 34 66 34 43 5 1.5 + - 4- - + - + + 17-, + - + - 'xid = ( 16 16 16 16 16 16 16 1'6) in
L , ~ ~ . ~ = 71.69 in &scale = + L12b L U ~ L12d
3 1.1448 L u s d e L, = L, = 174.54 ft
1.066
10
Drawing H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 Page2 o f Bui 1 ding Rev. 0 Subject Checker P. M. Nauven b r d Date 5/05/95
Job No. ‘ Weiaht and Center o f Gravi tv o f Sodium Heat Transfer LOOO
Originator T. M. Kaufman m Y , Date 5/03/95 L
Outside diameter: o&-, = 1.315 in . Thickness: t, = 0.133 in
.Inside diameter: id, = 06, - 2%,,
id:, 4 Volume o f item 12 pipe: v, = n-L, V, = 1 , 8 1 0 . 1 4 in3
w,, = 63.35 Ib Weight o f sodium: Weiaht o f item 12 oioe:
odZz2 - idX2
L14:
Wl2,iue = x 4 L P s r e . 1 + w12na
2 8 33 LZdscale = (1 + g + 16 + 1 + - + - 16 1’6) in
3 1.144 8 Lidscale L,, = ia .4i ft L14 = 1.066
Outside diameter: o&, = 0 . 8 4 in Thickness:
Inside diameter:
id_,, Volume o f item 14 pipe: v,, = x- 4 L14
L14scale = 7.56 in
Weight o f sodium: wlm = vl4p, w,,, = 2.35 Ib
oGr2 - i&,2 Weicrht of item 14 oipe: Wl,pip. = n 4 L P s t E m L + W 1 m
- 42 Length o f item 13 pipe: LaSds - 16 ,in 31.1448Lmscale
I. 066 L13: L, =
Outside diameter: od, = 1 . 0 5 in Thickness: t, = 0.113 in
Inside diameter: id, = od, - 2 t ,
11
WHC-SO-TP-ANAL-003 Rev. 0
Drawing H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 P a g e 1 0 o f 24 Bui 1 d i n g Rev. 0 Job No. S u b j e c t
Checker P . M . Nauven ofid Date 5/05/95
Weiaht and Cen te r of Grav i tv o f Sodium Heat T r a n s f e r LOOO O r i g i n a t o r T. M. Kaufman 1 m70 Date. 5/03 I95
id,,, 4
Volume o f item 13 pipe: v, = ir-L, V,, = 40.9. in3
Weight of sodium: w,, = V,p, . w,, = 1.43 Ib
od,,, - idU2 a . Weiaht o f item 13 a ioe : W,,iu, = x L, Pstael * W u n a WUpioe = 8.7 Ib
31.1448 - 59
16 in Outs ide d iameter : od,, = 2 in 1.066 8 Length o f item 16 p i p e : L,, =
Thickness: tl, = 0.065 in
I n s i d e d i ame te r : id;-, = o&-, - 2t,, i&,2 Volume o f item 16 pipe: v,, = x- L,, V,, = 5.08 in3
Weight o f sodium: w,,, = v,,p, w,,, = 0,.18 Ib
Weight o f 16 p ipes : 04,~ - id,,"
Length o f item 29 pipe:
Ou t s ide d i ame te r :
Thickness: t, = 0.147 in .
h9 = (3) (2.3) in
04, = 0 . 8 4 in
I n s i d e d i ame te r : i 4 9 =Od29 -2t29 .
Volume o f item 29 pipe: v,, = x - 4
Weight o f sodium: wZspipe =-VZgp,
V,, = 1.62 in
wlSM = 0.06 Ib
Weight o f 29 p ipe :
= x O 4 S 2 - idz92 L, pstael + Wzgna Wmpipe 4
12
Drawing H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 P a g e 2 of 24 Bui 1 d ing Rev. 0 Job No. Subject
Checker P . M. Nauven DMd I Date 5/05/95
Weiaht and Center o f Gravitv o f Sodium Heat Transfer LOOO Originator T. M. Kaufman Irn x, Date 5/03/95
t
Weight o f miscellaneous parts: (Refer t o Reference 3 o f this section)
.Pa r t $2: Heater
Outside diameter: 04 = IO i n Thickness: . t, = 0 . 2 5 in
Length: L, = 6 2 . 5 in'
Inside diameter: id2 = 0% - 2t ,
Weight o f heater: w, = 136.40 lb
. P a r t #3: Flow meter:
Outside diameter: od, = 1 . 3 1 5 in
Thickness: t, = 0.133 i n Length : L, = 1 ft
Inside diameter; id3 = od, - 2 t 3
od,, - id,' 4 L, P steel w, = x
Box:
W, = 1 . 6 9 Ib
Length : 1, = 1 3 . 6 i n Width: w, = 1 7 . 5 i n
Height: h, = 1 3 . 6 in Thickness:. t, = 0.125 in
w3box @b3 tb3)(Wb3 + %3)@b3 + - ((1%Wb3hb3))]Psteel w3ba 2 3 . 7 5 Ib
Total weight: w, = w, + w3- w, = 2 5 . 4 4 Ib
Par t $4: Flowmeter
Outside diameter: odp = r.05 i n Thickness; t, = 0 . 1 1 3 in
13 .
ENGINEERING ANALYSiS
Drawing H-3.-35477 Doc. No. WHC-SO-TP-ANA'L-003 P a g e 2 of 24 Building Rev. 0 Job No. Subject
Checker P. M. Nauven DM4 Date 5105795
Weiaht and Center.of Gravitv of Sodium Heat Transfer Loo0 Originator T. M. Kaufman m31/ Date 5/03/95
I
oda2 - id,2 4 L, Pstettl w, = x W, = 1.14 l.b
Box:
Height: h,, = 17.5 in Thickness: t,, = 0.125 in
wb4 = [[(Lb, +,tb4)(Wb4 + + tb4)] - {(Lb4WbOhbr)l]Psceel
Total weight: w, = w, + wu W, = 24.98 Ib
Part f 5 : Flowmeter
1 f t
Thickness: t, = 0.109 i n
oG2 - iG2 x 4 L, Pste*1 W, = 0.86 Ib
Width: wbs = & Height: Length: L,,, =.11.8 in
Thickness: tb , = 0.125 in
wb5 = [PbS + - hb43]Pstml wb, = 1 5 . 0 4 Ib
Tot a1 weight : w, = w, + wbs W, = 15.90 Ib
Part f6: Flowmeter
Outside diameter: 04 = 0.54 i n Thickness: t, = 0 .088 i n
Length: L , = l f t
14
Drzwi ng H-3-35477 Doc. No. WHC-SO-T.P-ANAL-003 P a g e 2 o f 26 Bui 1 ding Rev. 0 Job No. Subject
Checker. P. M, Nauven 1whj . Date 5/05/95
Weiaht and Center of Gravitv of Sodium Heat Transfer Loo0 Originator T. M. Kaufman f 9 M J Date 5/03/95
Inside diameter:
Box: w, = w, wb7 = wb6
w, = 0.43 Ib '
W, = 15.47 Ib
w, = w, W, = 15.47 lb '
Part 18: Anale Valve: (Cylinder Operated) (8 each) W, f ( 8 ) (1.5) lb w, = 12 Ib
Part 19: Anale Valve: (Diaphram Operated) (3 each) W, = (3) (1.5) lb w, = 4.5 lb
Part 110: Thermocouole: (7 each) .
P a r t $11: Thermocouple Connector: (7 each)
Part 117: Eccentric Reducer: (2 each)
Part 118: Eccentric Reducer:
P a r t C21: Elbow: (8 each)
Outside diameter: 04% = i.315 in
15
w,, = 2 1 Ib
Drawing H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 P a g e 2 o f 24 Bui 1 d i n g S u b j e c t
Checker P . M . Nauven o m d Date 5/05/95
Rev. 0 Job No. Weiaht and C e n t e r of Grav i tv o f Sodium Heat T r a n s f e r Lo00
O r i g i n a t o r - T. M . Kaufman I M X , Date 5/03/95
I n s i d e d i meter:
Weight o f elbow:
FG, = 04, - 2t,, Length : &, = (2 ) ( 1 . 8 4 ) * W,, = 4 . 1 4 Ib - i&,,
w,, = x L21 P steel8 4
P a r t $22: Elbow: .
04, ='1.05 i I i Thickness: t,, = 0.113 i n
Length: L,, = (2) ' (1 .84) in
Outs ide d iameter :
I n s i d e d iameter : i42 = 04, - 2t,,
w,, = x 0422 - L2,psrael . w,, = 0.35 Ib a Weight o f elbow:
P a r t $23: Tee BW: (8 each) :
Outs ide d iameter :
I n s i d e d i ame te r :
& = (3.58 + 1 . 2 3 ) in
o h a = 1 . 3 1 5 in
i%3 = 0 4 ~ - 2t,, Thickness: t, = 0.133 i n
Length:
P a r t $24: Tee BW:
Ou t s ide d iameter :
Inside diameter:
W,, = 0.68 Ib Weight o f elbow:
P a r t $25: Tee Reducina BW: W,, = 0.5 Ib
WZ6 = 2 Ib Part $26: Tee Reducinq BW: w,, = (4) (0.5) lb-
16
I
ENGINEE3ING ANALYSIS
Drawing H-3-35477 Doc. NO. 'WHC-SO-TP-ANAL-003 P a g e d o f 24 Bui 1 d i n g Rev. 0 Job No. S u b j e c t O r i g i n a t o r T. M. Kaufman I Date 5 /03/95 Checker P . M . Nauven h k r J Date 5 /05/95
\
P a r t 127: Cross Red: w,, = 0.5 Ib
. . P a r t $28: Vaoor TraDf
Ou t s ide d iameter : 04, = 4.5 in Thickness: &h = 0.237 in
I n s i d e diameter: i4, = 04, - 2t2, Length: h9 = 12 in
- iGa2 Weight o f vapor t r a p : w,, = x 4 L78 Psteel W,, = 10.86 Lb
P a r t 130: Pressure Relief: w3, = 0.5 lb ,
P a r t 131: 180 Return BW:
Ou t s ide d iameter : 04, = 1.315 in Thickness: t,, = 0.233 in
I n s i d e diameter: i4% = 04, - 2t,, Length: L31 = 2 in . -
od3,2 - Weight o f r e t u r n : w,, = x L31 Psteel W,, = 0.28 lb a
P a r t 133: Bulkhead Union:
I n s i d e diameter: id,, = 0 . 2 8 in 3 8 O u t s i d e d iameter :
Length: L,, f 2.45 in
04, = - in
P a r t $34: 180 Return: (2 each)
04,~ -.id,,' w,, = x 4 =33 Pst.s.1 W,, = 0.03 Ib
O u t s i d e diameter: 04, = 0.54 in Thickness: h, = 0 . 0 8 8 in
I n s i d e d iameter : id,, -= 04, - 2 t,, Length: L,, = 2 in
Od3d2 - id,,2 Weight o f return: w3, = x 4 L34 Pstee12
17
Drawing H-3-35477 Doc. No. WHC-SD-TP-ANAL-003 ' P a g e 3 o f 26 Bui ld ing Rev. 0 Job No. S u b j e c t O r i g i n a t o r T. M. Kaufman jmx/ Date 5 /03/95 Checker P . M. Nauven OAA nl Date 5/05'/95
\
P a r t i35: Elbow:
. Outs ide d i ame te r : od,, = 0 . 5 4 in Thickness: t,, = 0 . 0 8 8 i n .
I n s i d e d i ame te r : idz5 = od,, - 2 t3, Length: L,, = 1 . 0 7 in'
Weight o f elbow: od,,2 id,,, 4 w,, = x L35 Psteel2 - W,, = 0.08 Ib
P a r t %37: Surae /Mixina Tank: . O u t s i d e d iameter : od3, = 2 1 . 4 1 i n Thickness: t,, = 0 . 2 5 in
I n s i d e d i a q e t e r : id2, = odj7 - 2t , , Length : L,, = 3 5 . 0 4 i n
od,,, - id,,2 Weight o f t ank : w,, = x L37 Psteel' W,, = 165.96 Ib 4
P a r t $38:. Weld Conn: (2 each)
Ou t s ide d i ame te r : od,, = 0 . 5 4 in Thickness: t,, = 0.088 i n
I n s i d e d i ame te r : id,, = od,, - 2t , , Length:
L,, = (1.07 f 0.78) in
od,,2 - id3,, Weight o f weld conn.: w,, = x . h P s t e e l 2 W,, = 0 . 1 3 Ib
P a r t $39: Pipe Cap: (4 each) w,, = (4) (0.5) Ib w,, = 2 Ib
P a r t %40: P i p e CaD: (2 each) W,, = ( 2 ) (0.3) Ib W,, = 0.6 Ib
P a r t $41: P i p e Cap: w,, = 0 . 1 Ib
P a r t $42: Ball Valve: w,, = 5 Ib
18
Drawing H-3-35477 Doc. No. WHC-SD-TP-ANAL-003 P a g e 1 of 24. Building ' Rev. 0 Job No. Subject
Checker
.Weiaht and Center o f Gravitv o f Sodium Heat Transfer Lo00 Orig ina tor T. M. .Kaufman wl%) Date 5/03/95
P. M. Nauven OM d Date 5/05/95
Part 843: Union Tee:
Outside diameter: od,, = $ i n
Inside diameter: ia,, = 0 . 2 8 in Length: L,, = ( 2 . 4 + 0 . 6 6 ) is
. od,,2 - id,,2 Weight o f union tee: w,, = i c =,, Psceei2 w,, = 0 . 0 9 .lb 4
Par t C44: Bellow Valve: (2 each) w,, = (2) (0.5) lb w,, = 1 lb
Par t $45: Valve Stem Extension: .
od,, = 2 i n a Outside diameter: I
Inside diameter: id,, = 0.312 i n Length : L,, = 20.5 in
3
Weight o f union tee: od,,? - id,,2 w,, = x 4 =,,p , w,, = 0 . 2 lb .
Par t f46: St ra ine r : w,, = 5 lb
Par t 147: B u t t Weldino Hub: (4 each) W,, = (4) (0.5) lb w,, = 2 lb
Par t #48: Seal Rina: (4 each) W,, = (4) (0.3) lb w,, = 1.2 lb
Par t $49: Blind Hub: (4 each) W,, = (4) (0.3) lb w,, = 1.2 lb
Par t 150: Clamo w / Studs: (4 each) W,, = (4) (0.3) lb w,, = 1 . 2 lb
'19
ENGINEERING ANALYSE
Drawing H-3-35477 Doc. No. WHC-SD-TP-ANAL-003 P a g e s o f 24 Bui 1 d i n g Rev. 0 Job No. S u b j e c t
Checker P . M. Nauven D i u rJ Date 5 /05/95
Weiaht and Cen te r o f Grav i tv o f Sodium Heat T r a n s f e r Loo0 O r i g i n a t o r T. M. Kaufman im% Date 5 /03 /95
w = w, f w, f w, c w,, W = 490.3 Lb
T o t a l Weight o f P i p ing and M i scel 1 aneous Items: winside w>iping W,,, = 8 7 8 . 0 8 lb
TOTAL WEIGHT OF NA LOOP SECTION: WZoral = Wf=ame W>anels winside Wtoa = 4,599.54 lb'
20
* 5 7 0 . 0 51.3
Xi
102
114 .
Drawing H-3-35477 Doc, No. WHC-SO-TP-ANAL-003 P a g e 2 of Bui 1 ding Rev. 0 . Job No. Subject
Checker P. M. Nauven 9t -d Date 5/05/95
Weiaht and Center of Gravitv o f Sodium Heat Transfer Lo00 Originator T. M. Kaufman Imx, Date 5/03/95
Center o f Gravity Cal cul ati on:
Elevation (front & right side) Enclosure Frame:
i = 1..22
(1 57 I 86 I 0 ' I 51.3 114 I 168 I 36 I 32.4 11 1 7 I '8"," 1 1 . 51.3
131.6
42 84 0 131.6 114 I 52 I 36 I 14.04 11 131.6
66 127 15.99
j = 1..23
23
Drawing H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 P a g e 2 o f 24 . Bui 7 d i n g Rev. 0 Job NO. S u b j e c t
Checker P . 14. Nauven PFhd Date 5/05/95
Weiaht and Cen te r o f Grav i tv of Sodium Heat T r a n s f e r Loou O r i g i n a t o r T. M. Kaufman ?rn f / Date 5 /03/95
E leva t ion ( l e f t , bottom, h o r i z o n t a l middle, & v e r t i c a l middle) Enclosure Frame:
k = 1..19
Drawing H-3-35477 Doc. No. WHC-SD-TP-ANAL403 P a g e 2 o f 24. Bui 7 d i n g Rev. 0 Job No. S u b j e c t
Checker P . M. Nauven OM rJ Date 5 /05 /95
Weiaht and Cen te r o f Grav i ty o f Sodium Heat T r a n s f e r LOOO Q r i g i n a t o r T. M. Kaufman j r n N, D.ate 5 /03 I95
h
West, South , & E a s t E leva t ions ( f r o n t , r i g h t , & back) Enclosure Panels :
m = 1..22
,
Drawing H-3-35477 Doc. No. WHC-SD-TP-ANAL-003 P a g e 2 o f 24 Building Rev. 0 Job No. Subject Originator T. M. Kaufman - .?wxl Date 5/03/95 Checker P . M. Nauven a w l Date 5/05/95
Weiaht and Center o f Gravitv o f Sodium Heat Transfer LOOD
I
Top, l e f t , & half section Enclosure Panels ‘and Inside Piping &-Miscellaneous Items:.
n = 1..19
mn = 75,275.29
ywn = 157,000
mn = 62,887.61
Drawing . H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 P a g e 2 o f 24 Building Rev. 0 Job No. Subject Originator T. M. Kaufman j m. %/ Date 5/03/95 Checker P. M. Nouven ow4 Date 5/05/95
Weiaht and Center of Gravitv o f Sodium Heat Transfer Loo0
CENTER OF GRAVITY:
,
Drawing H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 P a g e l of 13 Bui 1 d i ng Rev. 0 Job No. Subject . O r i g i n a t o r P . M: Nauven PMN&.Afh Date 4/28/95
Droo f o r Sodium Heat Tr'ansfer Loou
. Checker S. S. Shiraaa r/P Date 5/05/95
I. Obdectives:
The o b j e c t i v e of this engineer ing c a l c u l a t i o n is t o determine if a Sodium-Loop framework package has s u f f i c i e n t structural i n t e g r i t y t o withstand a drop s i m i l a r t o t h e drop test required f o r Packaging Group I. The drop t e s t f o r Packaging Grbup I i s def ined a s 5.9-ft drop onto a r i g i d , non-res i l ien t , f l a t and horizontal sur face .
11. References: - 1.
2.
3.
4.
5. Committee of S t a i n l e s s Steel Producers - American Iron and Steel I n s t i t u t e ,
6 .
7. U. S. Forest . Products Laboratory, Vood Engineering Handbook.
H a r r i s , Shock Vibration Handbook, Third Edition.
WHC, Drawing No. H-3-35473, "HTL n'l Transient By-Pass.Loop Arrangement".
WHC, Drawing No. H-3-35477, "HTL n'1 Transient By-Pass Loop Enc7osure Frame".
Young, Roark's Formu7as for Stress .& Strain, 6th ed i t ion .
Designers' Handbook -on Stain7ess Stee7.
Young, Roark's Formu7as for Stress & Strain, 4 t h e d i t i o n .
111. Resul t s and Conclusions :
The drop test required f o r Packing Group I is defined t o be a drop of 5.9 f t onto a r i g i d , non-resil i e n t , f l a t and horizontal surface. The engineering c a l c u l a t i o n results show t h a t the Sodium Loop framework can surv ive the 5.9-ft drop, a s descr ibed above using a wooden bo% made o u t of White fir ac t ing a s an overpack. The eva lua t ion is based on t h e conservat ive c l a s s i c a l l i n e a r e l a s t i c methods, which addresses t h e dynamic loadings r e s u l t i n g from t h e drop a s static equiva len t loads. I t i s assumed t h a t the time o f the loading is r e l a t i v e l y long a s compared t o t h e n a t u r a l per iod of t h e package. In addi t ion , the eva lua t ion assumed t h a t a l l metal packaging m a t e r i a l s a r e d u c t i l e , i s o t r o p i c , homogenous, and fol low Hooke's law.
The a n a l y s i s was performed f o r t h e package only i n t h e f l a t bottom drop s i t u a t i o n . This p o s i t i o n is determined t o be t h e most unfavorable o r i e n t a t i o n f o r the package i n accordance w i t h , Shock Vibration. Handbook, (Harr i s 1988). The s tudy analyzed t h e cr i t ical s t r u c t u r a l components. The components a r e evaluated with the dece lera t ion loadings from t h e drop. The stresses a r e evaluated a g a i n s t t h e dynamic y i e l d values f o r t h e materials. Acceptabi l i ty of t h e structure is es tab l i shed from a p o s i t i v e margin o f s a f e t y r e l a t i v e t o t h e stress value.
Based upon t h e design conf igura t ion and o r i e n t a t i o n o f t h e drop, a por t ion of drop loading energy is absorbed by t h e wood being crushed, ie, the energy is absorbed by
27
Drawing H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 P a g e 2 o f 13 Bui ld ing Rev. 0 Job No. S u b j e c t Orou f o r Sodium Heat T r a n s f e r Lo00 O r i g i n a t o r P. M. Nauven O M ~ , W Date 4/28/95 Checker S. S. S h i r a a a ' l f l 2 Date 5/05/95
t h e c r u s h i n g a c t i o n o f t h e wooden box. t h e wood deformat ion t o t h e c rushed volume, and the drop energy. t r a n s m i t t e d t o t h e framework l e g s . columns, t h i s d e t e r m i n a t i o n is based on t h e r a t i o o f t h e l eng th o f t h e column wi th r e s p e c t t o the r a d i u s o f g y r a t i o n o f t h e l e g . shows t h a t t h e l e g des ign is s u f f i c i e n t t o wi ths t and t h e drop load ing .
The e v a l u a t i q n is performed f o r t h e p i p e i n which t h e sodium i s con ta ined . t h e r e s t r a i n i n g method employed t o minimize t h e movement o f the p i p e s w i t h i n t h e framework, i t is assumed t h a t t h e r e is banding a t each o f t h e p i p e bends. l o a d i n g f o r t h e p i p e is t h e r e a c t i o n l o a d i n g produced from t h e d rop . modeled a s a c i r c u l a r r i n g loaded 6y an i n t e r n a l s ta t ic f l u i d weight . s a f e t y f o r t h e p i p e shows t h a t t h e p i p e des ign is adequate f o r t h e l o a d i n g s i t u a t i o n .
The a n a l y s i s is a l s o pe r fo rmed- fo r t h e Sodium Loop wi thou t t h e wooden box overpack. The e v a l u a t i o n method is s i m i l a r t o t h e one performed f o r t h e framework wi th the wood box overpack. The d rop d e c e l e r a t i o n v a l u e is o b t a i n e d i n accordance w i t h , Shock Vibration Handbook, ( H a r r i s 1988). The e v a l u a t i o n result f o r t h e Na Loop w i t h o u t t h e wooden box overpack, shows t h a t t h e framework l e g s will buck le under t h e load , and t h e p i p e s c o n t a i n i n g Sodium will y i e l d wi th t h e l o a d i n g from t h e drop . Clearly, t h e result demonst ra tes t h a t t h e wooden box abso rbs t h e m a j o r i t y o f t h e d rop energy , and a s such t h e framework and consequent ly t h e Sodium p i p e s will n o t be damaged due t o t h e l o a d i n g from a d rop h e i g h t d e s c r i b e d above.
The framework i s scheduled t o be sh ipped one-way only , hence t h e expec ted c y c l i c l o a d i n g on t h e containment p i p i n g s is less than t h e c y c l i c l o a d i n g f o r m a t e r i a l w i th lo3 c y c l e s . The f a t i g u e d a t a f o r material starts a t lo3 c y c l e s , t h e r e f o r e f o r component w i t h load ing c y c l e o f less t h a n lo3, a f a t i g u e a n a l y s i s is n o t r e q u i r e d .
The sodium p i p e s are expec ted t o e x p e r i e n c e c o n d i t i o n s well w i t h i n t h e des ign p r e s s u r e d u r i n g t r a n s p o r t a t i o n , t h e r e f o r e p r e s s u r i z a t i o n a n a l y s i s is n o t r equ i r ed .
I t is recommended t h a t t h e wooden box overpack be uti l ized f o r t h e Sodium Loop t r a n s p o r t campaign.
The c rush ing l o a d is ob ta ined by r e l a t i n g
The l e g s a r e e v a l u a t e d by modeling them a s Euler The . load i s
The margin o f safety o f the l e g s
Based on .
The margin o f
Drawing H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 P a g e 3 . o f 13 Building Rev. 0 Job No. Subject O r i g i n a t o r P. M. Nauven %d Checker S. S. Shiraaa M
DroD f o r Sodium Heat T rans fe r LOOO Date 4/28/95 Date 5/05/95
. IV. Enaineer ins Evaluation:
Drop c a l c u l a t i o n f o r t h e Na Loop, t h e c a l c u l a t i o n accounts f o r t h e wooden box o u t s i d e o f t h e Na Loop.
Package weight (Reference Weight and CG calculation). : wpak = 4,600 lb
Largest framework (Reference ti-3-35477) :
Length o f framework:
la, = 14 f t
haox = 6 f t
14' x 9'6" x 6 '
a- = 0.24 p s i
Drop energy a t 5.9 ft drop height: h&op = 5.9 f t
Wooden box: Assume bottom drop, and wood box is made out of 2x4s and plywood:
* Number o f supports : n,,,d = 3 Support length: Load = 9.5 ft
Support width : wyood = 2 in Support height: bod = 4 in
Modulus of r u p t u r e (compression p a r a l l e l t o g r a i n ) f o r White fir (Reference Wood . Engineering Handbook, p. 4-12) :
EvNp = 280 p s i
Avail ab1 e wood volume: Vwood = n,,dwwdh,,dLo~
Wood energy absorpt ion: Enerrnod = L V n o o d EnernOod = 63 , a40 f t - l b
29
Drawing H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 P a g e 3 o f 13 Bui 1 d ing Rev. 0 Job No. Sub jec t Droo f o r Sodium Heat T rans fe r Loo0 O r i g i n a t o r P. M. Nauven DWJ Date 4/28/95 Checker S. S. Shiraaa /A' Date 5/05/95
c
S t r e s s : accordance w i t h Shock & Vibration Handbook, Crede and- H a r r i s .
Assume bottom drop. This pos i t i on i s determined t o be the worst o r i e n t a t i o n in
C r u s h volume from the package weight: . Ener,,
v-h - - - Vah = 1,264.29 in3 E L U P
Vcuh = 421.43 in3 - V&h vcxsh- n,,,, Crush volume f o r each support: .
8,, = 0.91 i n Wood deformation: 6- - - in v-h 9.6 ft
E n e r d--p P, = - Loading on the framework leg:
Frame l e g d a t a :
P, = 387,072 Ib ' --h Number of l e g s :
Cross-sect ion a r e a (Reference AISC):
Moment of i n e r t i a (Reference AISC):
Radius of g y r a t i o n (Reference AISC):
nlag = 9 Length o f support between members: lleg = (7 ft + 2 in )
Ales = 2.75 in2
I, = 2.22 in4
I, = 2.22 inJ
Modulus o f e l a s t i c i t y : Elag = 30,000,000 psi
Pieg = 43,008 Ib p, pl, = -
n1eg Load i n each l eg :
Ra t io o f l e n g t h t o r ad ius o f gyrat ion: r a t i o = - 11, r a t i o = 147.26 fgyr
Rat io >I30 t h e r e f o r e use Euler CoJumn equation.
Use Case 7 , Roark's 6 t h e d i t i o n , p . 679: x2 EieqIn Pcolrrm = 88,874.48 lb pcOlrrm = h e 2
P C O l U m 1 1 Mieg = 1.07 OK Margin of s a f e t y f o r frame leg: MSleg = - Pleg
- 2h&, gpack - - Decelerat ion o f package:
6-h
30
Drawing H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 P a g e 2 o f 13 ' Bui 1 d ing Rev. 0 Job No. Sub jec t O r i g i n a t o r P . M . Nauven OMJ Date 4/28/95 Checker S. S. Shiraaa Date 5/05/95
O r O D fo r Sodium Heat Transfer LOOD
ft scale = 1.27 - in 14 ft scale = - - 11 in Drawing sca l e :
Length o f p i p e from s c a l i n g . o f f t h e drawing:
Pipe d a t a (Reference H-3-35473) : Pipe diameter: $ipsl = 0.54 in Pipe wall thickness: Ll1 = 0.088 in
Pipe u n i t weight: Ib wupiPel = 0.42 - ft
x Pipe c r o s s s e c t i o n a l area: hirer = z[%ipez2 (dPipe1 - 2tWal~)'l
x Pipe moment of i n e r t i a : q,,,, = z[%iw; - (%ipal - Wpipel = 5.14 Ib - Pipe weight: Wpipsr - Wupipel lpipei
Loading on p i p e from drop of package: - Ffipel = 865.86 Ib Fgipez - gp&Wpipel
304SS materi a1 da t a : U 1 timate s t r e n g t h : uuIuo4 = 84,000 psi Yield s t r eng th : uy304 = 42,000 psi
Constant where y i e l d i n g can be t o l e r a t e d (Reference Shock and Vibrat ion Handbook, Crede and H a r r i s ) :
c = 0.5
u*304 = 63,000 p i
Pipe stresses assuming banding is done a t t h e curve.of t h e pipe. Assume t h e pipe drops on i ts curve.
Length o f p i p e s e c t i o n between banding supports :
Dynamic y i e l d s t r eng th : udy304 'Y304 + c ( ' U I U O 1 uY304)
= scale2.5 in = 3.18'ft
ratio, = ratio, = 70.71 %ips1
Ratio o f l e n g t h t o height:
3 1
Drawing H-3-35477 Doc. No. WHC-SD-TP-ANAL-003 P a g e d o f 13 Bui 1 d i n g Rev. 0 Job No. S u b j e c t O r i g i n a t o r P . M. Nauven md Date 4/28/95 Checker S. S. Sh i r aaa '/&/ Date S I O S l 9 S
-,
Rat io o f l e n g t h t o h e i g h t is more t h a n 4, t h e r e f o r e maximum s h e a r t h e o r y can be neglec ted .
lb W a i u e l = 7 0 . 6 8 - - Linea r u n i t w e i g h t o f pipe: waiUel - gpackwLTiUef: ft.
P o i s s o n ' s r a t i o f o r s t a i n l e s s steel: v =0.3
Loading due to. w e i g h t (Roark's 4 t h e d i t i o n , Case 20): - Csinei
2 Radius o f p ipe : rpiPel -
e = 0 deg u = cos(x) , z = sin(x) x = 0 deg
Ib p, = 99.02 - in
- ' 'Dinel Load d e n s i t y : Pr - x rgiue12 ~ P l d X O U
1 1 1 4 2 2 Moment due t o weight : y = prrpiue2($ + -u - --xz + -xz) M= = 1.46 Ib in
Tangen t i a l l o a d due t o weight:
T, = p,rpiueLz(l c -u 1 - --RZ 1 + -XZ) 1 T, = 9.02 - lb 4 2 2 in
Radial s h e a r l o a d due t o weight: 1 1 1 lb 4 2 2 in v, = p,rpiue1z(l i. -u - --xz + -xz) v, = 9.02 -
Tota l moments and l o a d s on pipe: Mto, = ~ : l & o P = 4 .65 Ib-ft
vtoe = v,:1drOp
Ttoe = Trlpldzop
V,, = 344.52 Ib
Ttot = 344.52 a
S t r e s s e s i n t h e p ipe :
Bending stress: ubbepa - - Mtot=pine1 ubbend = 4,549.6 psi Ipiuel
urnend = 2 , 7 5 7 . 0 1 psi =tat . Tangen t i a l stress: = - %ius1
WHC-SC-TP-ANAL-003 Rev. 0
Drawing H-3-35477 Doc. No. WHC-SD-TP-ANAL-003 Page_Z o f 13 Bui 1 ding Rev. 0 Job No. Subject Originator P. M, Nauven P M ~ , Date 4/28/95 Checker S. S. Shiraaa A%/ Date 5/05/95
Droo f o r Sodium Heat Transfer LOOD
- -
I
- - - "tot . +'bapd = 2,757.01 pii Shea'r s t ress : % b e l
Total s t r e s s : amtl = u~apa + Qtbapd + 'tbend u%u = 10,063.62 pi
- Margin o f safety: - MSpiper - - - I UtOU
MSpipel = 5.26 OK
Load'on pipe due t o the Sodium weight: conservatively model Sodium as a f lu id in a pipe.
Due t o the Sodium relat ive lack o f strength,
Pipe outside diameter: op, = 0.54 in
Pipe wall thickness (Ref. Stainless Steel Schedule 40):
Pipe inside diameter: i P N a = OPUa %k
t,, = 0 . 0 8 8 bl
Pipe cross section area:
t y (MathCAD Standard Handbook) : Ib para = (0.97) (62.4) ftf
dium between supports: w,, = A - h p X a
Ib p- = 0.04 - in3
Sodium dens lb in'
pNa = 0 . 0 4 - Weight of s 'wsNa = 0.306 Ib
Stresses due t o Na, (Membrane theory, p i p e f i l l e d between supports):
Location where s t r e s s is determined: h a z= = - 2
I Angle of evaluation:
Tangential s t r e s s : ut = 48, a29 psi
33 1
Drawing - H-3-35477 Doc. No. WHC-SD-TP-ANAL-003 - P a g e s o f 13 Building Rev. 0 Job No.' Subject Or ig ina tor P. M. Nauven P ? A ~ . - Date 4/28/95 Checker S. S. Shiraaa // Date 5/05/95
Droo f o r Sodium Heat Transfer Loo0
Longitudinal stress :
Shear s t r e s s :
Total stress a t maximum def lec t ion : utof = ut + u1 +
- 1 MS,lW - "cot - ' d y 2 0 4 Margin of sa fe ty :
us& .= (9.35) 10-l~ p s i
No y i e l d i n g i n p i p e under t h i s loading.
Drop c a l c u l a t i o n f o r Na Loop without wooden box:
utOE = 51,270 psi
Largest framework (Reference' H-3-35477) : Length o f framework:
Width of framework:
h,, = 6 ft
ul = 2,441 osi
S t a t i c loading: 0- = w,,, A,,
= 0.24 p s i
Drop loading a t 5.9 f t drop height :
G-value f o r unyielding s u r f a c e drop:
Rise time f o r metal conta iner drop onto hard unyielding sur face (Reference 1): tr = 0.002 sec
Drop he ight : \ = 5 . 9 ft sec2 Constant: c = 0.0128 - in
' 34
Drawing H-3-36477 Doc. No. WHC-SO-TP-ANAL-003 P a g e 2 of A Bui 1 ding Subject Originator P . M. Nauven md Date. 4/28/95 Checker S. S. Shiraaa M Date 5/05/95
Rev. 0 Job No. Oroa f o r Sodium Heat Transfer Loo0
Accel e r a t i on :
Stress : Assume bottom drop.
Framework 1 eg ,data:
Number o f legs: nlW = 9
Length of support between members: 11, = (7 f t + 2 in)
Cross sec t ion Area (Reference A N ) :
Moment of i n e r t i a (Reference AISC):
= 2.75 inz
I, = 2.22 in4 1, = 2.22 in'
Radius o f gyration: rrn =. 0.584 .
Modulus of e l a s t i c i t y : El, = 30,0o0, ooo'psi
Load i n each leg: P1, = 264,433.33 Ib
11, r a t i o = - =rn
Ratio of length t o radius of gyration:
Ratio > 130, therefore use Euler Column equation.
Use Case 7, Roark's 6th edi t ion, p. 679:
XZE1,I,
11agZ Leg (column) c r i t i c a l load: pColUs =
P,lUI!l P1W
Margin. of s a fe ty for box leg: wleg = - - 1
The Margin of s a f e t y shows t h a t t h e legs will buckle.
35
PcolUs = 88,874.48 Ib
NO GOOD1 I
WHC-SD-TP-ANAL-003 Rev. 0
Drawing H-3-35477 Doc. No. WHC-SD-TP-ANAL-003 P a g e d o f 13 Bui ld ing Rev. 0 Job No. S u b j e c t Droo f o r Sodium Heat T r a n s f e r Loo0 O r i g i n a t o r P . M. Nauven OMAI, , Date 4/28/95
. Date 5/05/95 Checker S. S. Shi raaa A'A//
..
tdll = 0.088 in
scale = 1 . 2 7 - ft izl $ipel = 0 . 5 4 in
lb * Wupioel = 0 . 4 2 - ft
x Pipe c r o s s s e c t i o n a l a r ea : P$iuer = T[%ipe1* - (CSiuel - 2 t.ral~)']
x Pipe moment o f iner t ia : Ipiuel = =[Cbioel4 - (%ipel - 2t,dll)4]
hipel = scale($ + - + 1 + - + - + 2 + 2 + - + - 6 8 in 5 - 16 16 16 - 2 , 16
lpipel = 12 .2s ft
- x Vuipel - 4 [%pert - (dPipe1 - twaul,"] h i p e l vpipel = 18.37 in'
Wpipez = Wupipel h i p e x wuipl = 5 . 1 4 Ib
Loading on p i p e from d e c e l e r a t i o n : F~~~~~ = g ~ w p f U , Fpipel = 2 , 448.92 lb
304s ss m a t e r i a l d a t a (Reference Des igners ' Handbook on SSt):
U1 timate s t r e n g t h : uult304 = 84,000 p s i Yie ld s t r e n g t h : uy304 = 42,000 psi
Constan t where y i e l d i n g can be t o l e r a t e d (Reference Shock and Vib ra t ion Handbook, Crede and H a r r i s ) : c = 0 . 5
= 63 , 000 p s i Dynamic y i e l d s t r e n g t h : ady304 =I uy304 + c( 'U l t30b - 'y3Ob)
Pipe stresses assuming t h a t banding is done a t t h e curve o f t h e pipe. d rops on its curve .
Assume t h e p i p e
Length o f p i p e s e c t i o n between banding suppor t s : &Idrow = scale (2 .5 in) lPldtOP = 3.18 f t
. ra t io , = 70.71 R a t i o o f l e n g t h t o he ight : ra t io , = 'P~&OP %fuel
R a t i o o f l e n g t h t o h e i g h t is more t h a n 4, t h e r e f o r e maximum s h e a r t h e o r y is n e g l i g i b l e .
36
Drawing H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 Page11 o f 13 Building Rev. 0 Job No. Subject Or ig ina tor P. M. Nauven D~~ , Date 4/28/95 Checker S. S. Shiraaa 'A//// Date 5/05/95
.. Oroo for Sodium Heat Transfer Loo0
. Assuming banding is a t the curve o f the pipe: lb Wtpipel = 199 .9 1 - -
Wtpipel - gwawLvipe1 f t
Poisson's r a t i o o f stainless s teel : v = 0.3
Loading due t o weight (Roark's 4 t h edition, Case 20): - %ips1 -
*pipe% - 2 Radius o f pipe:
x = 0 deg 0 = 0 deg ' u = cos(x) z = s i n ( x )
Ib Load density: p, = Fpipel pr = 280..05 .
Moment due t o weight: '
r p i p e 2 S l d r O P lD.
= p r ~ p i p e ~ ( $ + 1, - A x z + :xz) 1 M= = 4.13 lb 4 2 i n
Tangential load due t o weight: . T, = prrpiue2(l + -u 1 -'--z 1 + -XZ) 1 T, = 25 .52 - lb 4 2 2 121
Radial shear load due t o weight: Ib V, = 25 .52 -
4 2 2 in . v, = p2Lpipe1'(l + -u 1 - -A 1 + -xz) 1
Total moments and loads on pipe: Mzot = Klpl&OP Mtot = 13 .15 Ib-f t
vtot = W 9 i d r O P vtot = 974.39 Ib
T t o t = T,lDl&O, Ttoe = 974.39 Ib
Stresses i n the pipe:
Mtot=pipe1 a- = 12,867.61 psi IPiue1
Bending s t r e s s : %end =
Tangential s t ress : atband - - APiWL
- T t o t atbd = 7,797.64 psi
rtbd = 7,797.64 psi - Vtoe Shear s t ress : reend - - %4ml
37
* . ENGINEERING ANALYSIS
Drawing H-3-35477 Doc: No. WHC-SO-TP-ANAL-003 P a g e 1 2 o f 13 Bui 1 d i ng Rev. 0 Job No. S u b j e c t O r i g i n a t o r P . M. Nauven smd , Date 4i28195 Checker S . S . . S h i r a a a /M . Date 5/05/95
-. Drou f o r Sodium Heat T r a n s f e r Loou
T o t a l stress: utocl = ahband + ( T * ~ + reend * umCl = 28,462.89 psi
Margin o f s a f e t y : MSpipe1 = % - 1 . MSpiPel = 1.21 OK utou
Load on p i p e due t o t h e Sodium weight: c o n s e r v a t i v e l y model Sodium a s a f l u i d i n a p ipe .
D-ue t o t h e Sodium r e l a t i v e l a c k o f s t r e n g t h ,
P ipe o u t s i d e d i ame te r : op, = 0.54 in
Pipe wall t h i c k n e s s (Ref. . S t a i n l e s s S t e e l Schedule 40): t,, = 0.088 h
Pipe i n s i d e d i ame te r : - iPm - 09, - 2 t&
Pipe c r o s s s e c t i o n a rea : h a = q(00,P x - iPxaz)
x Na we igh t o v e r t h e a rea : A,. =..q OPm2
Length between suppor t s : ha -= scale 2 . 5 i n L, .= 3.18 ft
Sodi um d e n s i t y (MathCAD Standard Handbook) : lb pNa = 0.04 -
ft3 i n 3
pNa = (0.97) (62.4) - lb
Weight o f sodium between suppor t s : wWa = A-&pMa wsNa = 0.306 Ib
Weight density o v e r t h e area: psm: = 0 . 0 4 - Ib . in3
S t r e s s e s due t o Na, (Membrane t h e o r y , pip.e f i l l ed between suppor t s )
2 Tangent i a1 stress: ut = g,,p,=xa (1 - =Ospxa)) u, = 138,103 D s i
tsk
Longi tudina l stress: simga, = g w p = (+)coS(exa) + vat u1 = 6,905 p s i tsk
Shea r stress: =sht = -gw ~m (+) sinpxal oh = (2.64) p s i tsk
38
Drawi ng H-3-35477 Doc. No. WHC-SO-TP-ANAL-003 P a g e 3 of 2 Building Rev. 0 Job No. Subject Originator P. M. Nsuven OM& Date 4/28/95 Checker S. S. Shiraaa ’/!, Date 5/05/95
.- Droo for Sodium Heat Transfer LOOD
- .
Margin of safety:
The Margin o f safety shows that the pipes will .yield under this loading!
ut,, = ut + uL + us,= ut,, = 145,008 p s i
MS,,l= = -0.57 NO GQOD I I OdV304 MS,~,, = - - 1
‘Jtot.
39

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