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Steel Structures 10 - 1 Instructional Material Complementing FEMA 451, Design Examples NEHRP RECOMMENDED PROVISIONS SEISMIC DESIGN OF STEEL STRUCTURES Context in NEHRP Recommended Provisions Steel behavior Reference standards and design strength Moment resisting frames Braced frames Other topics • Summary
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Page 1: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 1Instructional Material Complementing FEMA 451, Design Examples

NEHRP RECOMMENDED PROVISIONSSEISMIC DESIGN OF STEEL STRUCTURES

• Context in NEHRP Recommended Provisions

• Steel behavior

• Reference standards and design strength

• Moment resisting frames

• Braced frames

• Other topics

• Summary

Page 2: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 2Instructional Material Complementing FEMA 451, Design Examples

Steel Design: Context in ProvisionsDesign basis: Strength limit state

Using the 2003 NEHRP Recommended Provisions:Load combination Chap. 4Seismic load analysis Chap. 5Components and attachments Chap. 6Design of steel structures Chap. 8

AISC Seismicand others

Page 3: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 3Instructional Material Complementing FEMA 451, Design Examples

Seismic Resisting SystemsUnbraced Frames•Joints are:

Rigid/FR/PR/Moment-resisting

•Seismic classes are:Special/intermediate/Ordinary/not detailed

Braced Frames• Concentric bracing• Eccentric bracing

Page 4: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 4Instructional Material Complementing FEMA 451, Design Examples

Monotonic Stress-Strain Behavior

Page 5: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 5Instructional Material Complementing FEMA 451, Design Examples

Bending of Steel Beam

M

Strain slightly above yield strain

Section near “plastic”

Extreme fiber reachesyield strain and stress

φ u

ε y

Strain Stress

φ y

εy < ε < εsh σy

σy

σy

εsh

Page 6: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 6Instructional Material Complementing FEMA 451, Design Examples

Plastic Hinge Formation

Page 7: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 7Instructional Material Complementing FEMA 451, Design Examples

Cross - section DuctilityConceptual moment - curvature

M

yφ′

Mp

My

yφ uφφ

u u u

y y y

φ φ εφ φ ε

≤ =′

Page 8: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 8Instructional Material Complementing FEMA 451, Design Examples

Moment CurvatureLaboratory Test -- Annealed W Beam

Page 9: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 9Instructional Material Complementing FEMA 451, Design Examples

Behavior Modes For Beams

OLM Elastic lateral tors. bucklingOHI Inelastic lateral tors. bucklingOJG Inelastic lateral tors. bucklingOJE Idealized behaviorOJK Strain hardening

Mr

Page 10: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 10Instructional Material Complementing FEMA 451, Design Examples

Flexural Ductility of Steel MembersPractical Limits

1 Lateral torsional bucklingBrace well

2 Local bucklingLimit width-to-thickness ratiosfor compression elements

3 FractureAvoid by proper detailing

Page 11: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 11Instructional Material Complementing FEMA 451, Design Examples

Local and Lateral Buckling

Page 12: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 12Instructional Material Complementing FEMA 451, Design Examples

Lateral Torsional Buckling

Page 13: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 13Instructional Material Complementing FEMA 451, Design Examples

Local Buckling

ycr tbEk σ

μπσ ≤

−= 22

2

)/)(1(12

b

t

Classical plate buckling solution:

Substituting μ = 0.3 and rearranging:

yFkE

tb 95.0≤

Page 14: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 14Instructional Material Complementing FEMA 451, Design Examples

Local Bucklingcontinued

0.38y

b Et F≤

With the plate buckling coefficient taken as 0.7 and an adjustment for residual stresses, the expression for b/t becomes:

This is the slenderness requirement given in the AISC specification for compact flanges of I-shaped sections in bending. The coefficient is further reduced for sections to be used in seismic applications in the AISC Seismic specification

0.3y

b Et F≤

Page 15: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 15Instructional Material Complementing FEMA 451, Design Examples

Welded Beam to Column Laboratory Test - 1960s

Page 16: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 16Instructional Material Complementing FEMA 451, Design Examples

Bolted Beam to Column Laboratory Test - 1960s

Page 17: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 17Instructional Material Complementing FEMA 451, Design Examples

Pre-Northridge Standard

Page 18: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 18Instructional Material Complementing FEMA 451, Design Examples

Following the 1994 Northridge earthquake,

numerous failures of steel beam-to-column moment

connections were identified. This led to a multiyear,

multimillion dollar FEMA-funded research effort known as the SAC joint

venture. The failures caused a fundamental rethinking of

the design of seismic resistant steel moment

connections.

Page 19: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 19Instructional Material Complementing FEMA 451, Design Examples

Bottom Flange Weld Fracture Propagating Through Column Flange and Web

Page 20: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 20Instructional Material Complementing FEMA 451, Design Examples

Beam Bottom Flange Weld Fracture Causing a Column Divot Fracture

Page 21: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 21Instructional Material Complementing FEMA 451, Design Examples

Northridge Failure

• Crack through weld

• Note backup barand runoff tab Bottom flange

of beam

Beamweb

Page 22: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 22Instructional Material Complementing FEMA 451, Design Examples

Northridge Failure

Columnflange

Backup bar

Beam flangeand web

Page 23: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 23Instructional Material Complementing FEMA 451, Design Examples

Northridge Failures

Column Flange HAZ Lamellar Tear

Weld Weld Fusion Column Divot

Page 24: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 24Instructional Material Complementing FEMA 451, Design Examples

Flexural Mechanics at a Joint

12

12

Beam Moment Fw

Fy

1 2w yF Z F Z⋅ > ⋅

21 1 2

Cross Sections

Fw

Fy

Page 25: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 25Instructional Material Complementing FEMA 451, Design Examples

Welded Steel Frames

• Northridge showed serious flaws. Problems correlated with:

- Weld material, detail concept and workmanship- Beam yield strength and size- Panel zone yield

• Repairs and new design- Move yield away from column face(cover plates, haunches, “dog bone”)

- Verify through tests• SAC Project: FEMA Publications 350 through 354

Page 26: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 26Instructional Material Complementing FEMA 451, Design Examples

Reduced Beam Section (RBS) Test SpecimenSAC Joint Venture

Plastic Rotation (% rad)

Mom

ent (

MN

-m)

-4 -2 0 2 4-4

-2

0

2

4

Graphics courtesy of Professor Chia-Ming Uang, University of California San Diego

Page 27: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 27Instructional Material Complementing FEMA 451, Design Examples

T-stub Beam-Column TestSAC Joint Venture

Photo courtesy of Professor Roberto Leon, Georgia Institute of Technology

Page 28: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 28Instructional Material Complementing FEMA 451, Design Examples

T-Stub Failure Mechanisms

Net section fracture in stem of T-stub

Plastic hinge formation -- flange and web local buckling

Photos courtesy of Professor Roberto Leon, Georgia Institute of Technology

Page 29: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 29Instructional Material Complementing FEMA 451, Design Examples

Rotation (rad)-0.06 -0.04 -0.02 0.00 0.02 0.04 0.06

Mom

ent (

k-in

)

-7000-6000-5000-4000-3000-2000-1000

01000200030004000500060007000

Mom

ent (

kN-m

)

-700-600-500-400-300-200-1000100200300400500600700

FS-03 - Moment/Rotation

T-Stub Connection Moment Rotation Plot

Graphic courtesy of Professor Roberto Leon, Georgia Institute of Technology

Page 30: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 30Instructional Material Complementing FEMA 451, Design Examples

Extended Moment End-Plate Connection Results

Photo courtesy of Professor Thomas Murray, Virginia Tech

Page 31: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 31Instructional Material Complementing FEMA 451, Design Examples

Extended Moment End-Plate Connection Results

Total Plastic Rotation (rad)-0.08 -0.06 -0.04 -0.02 0.00 0.02 0.04 0.06 0.08

Mom

ent a

t Col

umn

Cen

terli

ne (i

n-ki

ps)

-25000

-20000

-15000

-10000

-5000

0

5000

10000

15000

20000

25000

(b) Moment vs Plastic Rotation(a) Moment vs Total Rotation

Total Rotation (rad)-0.08 -0.06 -0.04 -0.02 0.00 0.02 0.04 0.06 0.08

Mom

ent a

t Col

umn

Cen

terli

ne (i

n-ki

ps)

-25000

-20000

-15000

-10000

-5000

0

5000

10000

15000

20000

25000

Graphics courtesy of Professor Thomas Murray, Virginia Tech

Page 32: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 32Instructional Material Complementing FEMA 451, Design Examples

Ductility of Steel Frame JointsLimits

Welded Joints- Brittle fracture of weld- Lamellar tearing of base metal- Joint design, testing, and inspection

Bolted Joints- Fracture at net cross-section- Excessive slip

Joint Too Weak For Member- Shear in joint panel

Page 33: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 33Instructional Material Complementing FEMA 451, Design Examples

Multistory FrameLaboratory Test

Page 34: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 34Instructional Material Complementing FEMA 451, Design Examples

Flexural DuctilityEffect of Axial Load

0.10 ==∞=p

pc

y MM

PPe

57.0MM

55.0PP"10.5e

p

pc

y

===

28.0MM

76.0PP"75.1e

p

pc

y

===

0.7rLx

=

W12x36

Page 35: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 35Instructional Material Complementing FEMA 451, Design Examples

Axial StrutLaboratory test

45rL=

Page 36: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 36Instructional Material Complementing FEMA 451, Design Examples

Cross Braced FrameLaboratory test

Page 37: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 37Instructional Material Complementing FEMA 451, Design Examples

Tension Rod (Counter) BracingConceptual Behavior

H

Δ

“Slapback”For cycle 2

H

Page 38: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 38Instructional Material Complementing FEMA 451, Design Examples

Eccentrically Braced Frame

Page 39: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 39Instructional Material Complementing FEMA 451, Design Examples

Eccentrically Braced FrameLab test of link

Page 40: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 40Instructional Material Complementing FEMA 451, Design Examples

Steel Behavior• Ductility

- Material inherently ductile- Ductility of structure < ductility of material

• Damping- Welded structures have low damping- More damping in bolted structures dueto slip at connections

- Primary energy absorption is yielding ofmembers

Page 41: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 41Instructional Material Complementing FEMA 451, Design Examples

Steel Behavior• Buckling

- Most common steel failure under earthquake loads- Usually not ductile- Local buckling of portion of member- Global buckling of member- Global buckling of structure

• Fracture- Nonductile failure mode under earthquake loads- Heavy welded connections susceptible

Page 42: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 42Instructional Material Complementing FEMA 451, Design Examples

NEHRP Recommended ProvisionsSteel Design

• Context in NEHRP Recommended Provisions

• Steel behavior

• Reference standards and design strength

Page 43: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 43Instructional Material Complementing FEMA 451, Design Examples

Page 44: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 44Instructional Material Complementing FEMA 451, Design Examples

Using Reference StandardsStructural Steel

Both the AISC LRFD and ASD methodologies are presented in a unified format in both the Specification for Structural Steel Buildings and the Seismic Provisions for Structural Steel Buildings.

Page 45: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 45Instructional Material Complementing FEMA 451, Design Examples

Page 46: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 46Instructional Material Complementing FEMA 451, Design Examples

Other Steel MembersSteel Joist Institute

Standard Specifications, 2002

Steel CablesASCE 19-1996

Steel Deck InstituteDiaphragm Design Manual, 3rd Ed., 2005

Page 47: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 47Instructional Material Complementing FEMA 451, Design Examples

NEHRP Recommended ProvisionsSteel Design

• Context in NEHRP Recommended Provisions

• Steel behavior

• Reference standards and design strength

• Moment resisting frames

Page 48: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 48Instructional Material Complementing FEMA 451, Design Examples

Steel Moment Frame Joints

Frame Test θi Details

Special Req’d 0.04 Many

Intermediate Req’d 0.02 Moderate

Ordinary Allowed NA Few

Page 49: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 49Instructional Material Complementing FEMA 451, Design Examples

Steel Moment Frame Joints

u pa bM M

b+

≈ ⋅

*y y yF R F= ⋅

* *1 1.7u y yf

a bF F Z Fb A d+

≈ ⋅ ⋅ ≈

Page 50: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 50Instructional Material Complementing FEMA 451, Design Examples

Panel Zones

Special and intermediate moment frame:

• Shear strength demand:

Basic load combination or φRyMp of beams• Shear capacity equation

• Thickness (for buckling)

• Use of doubler plates

Page 51: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 51Instructional Material Complementing FEMA 451, Design Examples

Steel Moment Frames• Beam shear: 1.1RyMp + gravity

• Beam local buckling - Smaller b/t than LRFD for plastic design

• Continuity plates in joint per tests

• Strong column - weak beam rule- Prevent column yield except in panel zone- Exceptions: Low axial load, strong stories, top story,and non-SRS columns

Page 52: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 52Instructional Material Complementing FEMA 451, Design Examples

Steel Moment Frames

• Lateral support of column flange- Top of beam if column elastic- Top and bottom of beam otherwise- Amplified forces for unrestrained

• Lateral support of beams- Both flanges- Spacing < 0.086ryE/Fy

Page 53: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 53Instructional Material Complementing FEMA 451, Design Examples

Prequalified Connections

See FEMA 350: Recommended Seismic Design Criteria forNew Steel Moment-Frame Buildings

-Welded Unreinforced Flange -Bolted Unstiffened End Plate Connection-Welded Free Flange Connection -Bolted Stiffened End Plate Connection-Welded Flange Plate Connection -Bolted Flange Plate Connection-Reduced Beam Section Connections

See ANSI/AISC 358-05, Prequalified Connections for Special and Intermediate Steel Moment Frames for Seismic Applications

-Reduced Beam Section Connections-Bolted Stiffened and Unstiffened Extended Moment End Plate Connections

Page 54: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 54Instructional Material Complementing FEMA 451, Design Examples

Welded Coverplates

Page 55: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 55Instructional Material Complementing FEMA 451, Design Examples

Reduced Beam Section (RBS)

Page 56: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 56Instructional Material Complementing FEMA 451, Design Examples

Extended End Plate

Page 57: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 57Instructional Material Complementing FEMA 451, Design Examples

Excellent Moment Frame Behavior

Page 58: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 58Instructional Material Complementing FEMA 451, Design Examples

Excellent Moment Frame Behavior

Page 59: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 59Instructional Material Complementing FEMA 451, Design Examples

Excellent Moment Frame Behavior

Page 60: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 60Instructional Material Complementing FEMA 451, Design Examples

Special Moment FramesExample

5 at

25'

-0"

N

7 at 25'-0"

Page 61: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 61Instructional Material Complementing FEMA 451, Design Examples

Special Moment Frames

The following design steps will be reviewed:• Select preliminary member sizes• Check member local stability• Check deflection and drift• Check torsional amplification• Check the column-beam moment ratio rule• Check shear requirement at panel zone• Select connection configuration

Page 62: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 62Instructional Material Complementing FEMA 451, Design Examples

Special Moment Frames

Select preliminary member sizes – The preliminary member sizes are given in the next slide for the frame in the East-West direction. These members were selected based on the use of a 3D stiffness model in the program RAMFRAME. As will be discussed in a subsequent slide, the drift requirements controlled the design of these members.

Page 63: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 63Instructional Material Complementing FEMA 451, Design Examples

SMF Example – Preliminary Member Sizes

Page 64: Topic 10 - Seismic Design of Steel Structuresrichardson.eng.ua.edu/Former_Courses/Wind_and_Seismic_fa...See FEMA 350: Recommended Seismic Design Criteria for New Steel Moment-Frame

Steel Structures 10 - 64Instructional Material Complementing FEMA 451, Design Examples

SMF Example – Check Member Local Stability

bf

tf

twhc

Check beam flange:(W33x141 A992)

Upper limit:

Check beam web:

Upper limit:

6.012

f

f

bt=

0.3 7.22y

EF

=

49.6c

w

ht

=

3.76 90.6y

EF

=

OK

OK

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Steel Structures 10 - 65Instructional Material Complementing FEMA 451, Design Examples

SMF Example – Check Deflection and DriftThe frame was checked for an allowable story drift limit of 0.020hsx. All stories in the building met the limit. Note that the NEHRP Recommended Provisions Sec. 4.3.2.3 requires the following check for vertical irregularity:

2

3

5.17 .268 . 0.98 1.33.14 .160 .

d x story

d x story

inC in

inCin

⎛ ⎞⎜ ⎟Δ ⎝ ⎠= = <

Δ ⎛ ⎞⎜ ⎟⎝ ⎠

Therefore, there is no vertical irregularity.

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Steel Structures 10 - 66Instructional Material Complementing FEMA 451, Design Examples

SMF Example – Check Torsional Amplification

The torsional amplification factor is given below. If Ax < 1.0 then torsional amplification is not required. From the expression it is apparent that if δmax / δavg is less than 1.2, then torsional amplification will not be required.

2

max

1.2xavg

A δδ

⎛ ⎞= ⎜ ⎟⎜ ⎟⎝ ⎠

The 3D analysis results, as shown in FEMA 451, indicate that none of the δmax / δavg ratios exceed 1.2; therefore, there is no torsional amplification.

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Steel Structures 10 - 67Instructional Material Complementing FEMA 451, Design Examples

SMF Example – Member Design NEHRP Guide

Member Design Considerations - Because Pu/φPn is typically less than 0.4 for the columns, combinations involving Ω0 factors do not come into play for the special steel moment frames (re: AISC Seismic Sec. 8.3). In sizing columns (and beams) for strength one should satisfy the most severe value from interaction equations. However, the frame in this example is controlled by drift. So, with both strength and drift requirements satisfied, we will check the column-beam moment ratio and the panel zone shear.

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Steel Structures 10 - 68Instructional Material Complementing FEMA 451, Design Examples

SMF Example – Column-Beam Moment Ratio

Per AISC Seismic Sec. 9.6*

* 1.0pc

pb

MM

Σ>

Σ

where ΣM*pc = the sum of the moments in the column above and

below the joint at the intersection of the beam and column centerlines. ΣM*pc is determined by summing the projections of the nominal flexural strengths of the columns above and below thejoint to the beam centerline with a reduction for the axial force in the column.ΣM*

pb = the sum of the moments in the beams at the intersection of the beam and column centerlines.

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Steel Structures 10 - 69Instructional Material Complementing FEMA 451, Design Examples

SMF Example – Column-Beam Moment Ratio

Column – W14x370; beam – W33x141

* 22

*

5002 736 50109

66,850

ucpc c yc

g

pc

P kipsM Z F in ksiA in

M in kips

⎛ ⎞ ⎡ ⎤⎛ ⎞Σ = Σ − = −⎜ ⎟ ⎜ ⎟⎢ ⎥⎜ ⎟ ⎝ ⎠⎣ ⎦⎝ ⎠Σ = −

Adjust this by the ratio of average story height to average clear height between beams.

* 268 . 160 .66,850 75,300251.35 . 128.44 .pc

in inM in kips in kipsin in

+⎛ ⎞Σ = − = −⎜ ⎟+⎝ ⎠

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Steel Structures 10 - 70Instructional Material Complementing FEMA 451, Design Examples

SMF Example – Column-Beam Moment RatioFor beams:

( )

( )( ) ( ) ( )

*

' 2

' 2'

2

(1.1 )

. ./ 2 / 2 25.61 .

222 / 2

1.046 248.8 .2 25,700

12 2

248.8 .

pb y p v

v p h

h

c b

p

p

p p

M R M M

with M V S

S dist fromcol centerline to plastic hinged d in

V shear at plastic hinge location

wLMV M wL

L

klf inin kips

in

Σ = Σ +

=

=

= + =

=

+⎡ ⎤= + =⎣ ⎦

⎛ ⎞⎜ ⎟− +⎜ ⎟⎝ ⎠= 221.2kips=

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Steel Structures 10 - 71Instructional Material Complementing FEMA 451, Design Examples

SMF Example – Column-Beam Moment Ratio

*

(221.2 )(25.61 .) 5,665

(1.1 )

2[(1.1)(1.1)(25,700 ) 5,665 ] 73,500

v p h

pb y p v

M V S kips in in kips

andM R M M

in kips in kips in kips

= = = −

Σ = Σ +

= − + − = −

The ratio of column moment strengths to beam moment strengths iscomputed as:

*

*75,300 1.02 1.0073,500

pc

pb

M in kipsRatio OKM in kips

Σ −= = = > ∴Σ −

Other ratios are also computed to be greater than 1.0

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Steel Structures 10 - 72Instructional Material Complementing FEMA 451, Design Examples

SMF Example –Panel Zone CheckThe 2005 AISC Seismic specification is used to check the panel zone strength. Note that FEMA 350 contains a different methodology, but only the most recent AISC provisions will be used. From analysis shown in the NEHRP Design Examples volume(FEMA 451), the factored strength that the panel zone at Story 2 of the frame in the EW direction must resist is 1,883 kips.

2 23 (3)(16.475 .)(2.66)0.6 1 (0.6)(50 )(17.92 .)( ) 1(33.3 .)(17.92 .)( )

537.6 315

( ) determined :

(1

cf cfv y c p p

b c p p

v p

v u

b t inR F d t ksi in td d t in in t

R t

The required total web plus doubler plate thickness is byR Rφ

⎡ ⎤ ⎡ ⎤= + = +⎢ ⎥ ⎢ ⎥

⎢ ⎥ ⎢ ⎥⎣ ⎦ ⎣ ⎦= +

=

.0)(537.6 315) 1,883

2.91 .

1.66 ., :1.25 . ( 1.25 . 0.625 . )

required

doubler

p

p

p

t kips

t in

The column web thickness is in therefore the required doubler plate thickness ist in therefore use one in plate or two in plates

+ =

=

=

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Steel Structures 10 - 73Instructional Material Complementing FEMA 451, Design Examples

SMF Example – Connection Configuration

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Steel Structures 10 - 74Instructional Material Complementing FEMA 451, Design Examples

SMF Example – Connection Configuration

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Steel Structures 10 - 75Instructional Material Complementing FEMA 451, Design Examples

Special Moment FramesSummary

Beam to column connection capacitySelect preliminary member sizesCheck member local stabilityCheck deflection and driftCheck torsional amplificationCheck the column-beam moment ratio ruleCheck shear requirement at panel zoneSelect connection configuration

• Prequalified connections

• Testing

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Steel Structures 10 - 76Instructional Material Complementing FEMA 451, Design Examples

NEHRP Recommended ProvisionsSteel Design

• Context in Provisions• Steel behavior• Reference standards and design strength• Seismic design category requirement• Moment resisting frames• Braced frames

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Steel Structures 10 - 77Instructional Material Complementing FEMA 451, Design Examples

Concentrically Braced FramesBasic Configurations

X Diagonal K

VInverted V K

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Steel Structures 10 - 78Instructional Material Complementing FEMA 451, Design Examples

Braced Frame Under Construction

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Steel Structures 10 - 79Instructional Material Complementing FEMA 451, Design Examples

Braced Frame Under Construction

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Steel Structures 10 - 80Instructional Material Complementing FEMA 451, Design Examples

Concentrically Braced Frames

Special AISC Seismic R = 6Chapter 13

Ordinary AISC Seismic R = 3.25Chapter 14

Not Detailed for Seismic R = 3AISC LRFD

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Steel Structures 10 - 81Instructional Material Complementing FEMA 451, Design Examples

Concentrically Braced Frames

Dissipate energy after onset of global buckling by avoiding brittle failures:

• Minimize local buckling

• Strong and tough end connections

• Better coupling of built-up members

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Steel Structures 10 - 82Instructional Material Complementing FEMA 451, Design Examples

Concentrically Braced FramesSpecial and Ordinary

Bracing members:

- Compression capacity = φcPn

- Width / thickness limits

Generally compact

Angles, tubes and pipes very compact

- Overall

- Balanced tension and compressionyF

Er

KL 4<

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Steel Structures 10 - 83Instructional Material Complementing FEMA 451, Design Examples

Concentrically Braced FramesSpecial concentrically braced frames

Brace connectionsAxial tensile strength > smallest of:

• Axial tension strength = RyFyAg

• Maximum load effect that can be transmitted to brace by system.

Axial compressive strength ≥ 1.1RyPn where Pn is the nominal compressive strength of the brace.

Flexural strength > 1.1RyMp or rotate to permitbrace buckling while resisting AgFCR

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Steel Structures 10 - 84Instructional Material Complementing FEMA 451, Design Examples

Concentrically Braced FramesV bracing:• Design beam for D + L + unbalanced brace forces,

using 0.3φPc for compression and RyFyAg in tension• Laterally brace the beam• Beams between columns shall be continuous.K bracing:• Not permitted

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Steel Structures 10 - 85Instructional Material Complementing FEMA 451, Design Examples

Concentrically Braced FramesBuilt-up member stitches:

• Spacing < 40% KL/r• No bolts in middle quarter of span• Minimum strengths related to Py

Column in CBF:• Same local buckling rules as brace members• Splices resist moments

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Steel Structures 10 - 86Instructional Material Complementing FEMA 451, Design Examples

Concentrically Braced Frame

Example

E-W direction

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Steel Structures 10 - 87Instructional Material Complementing FEMA 451, Design Examples

Concentrically Braced Frame Example

The following general design steps are required:• Selection of preliminary member sizes• Check strength• Check drift• Check torsional amplification• Connection design

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Steel Structures 10 - 88Instructional Material Complementing FEMA 451, Design Examples

Eccentrically Braced Frames

Link

Brace

Beam

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Steel Structures 10 - 89Instructional Material Complementing FEMA 451, Design Examples

Eccentrically Braced Frame Under Construction

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Steel Structures 10 - 90Instructional Material Complementing FEMA 451, Design Examples

Eccentrically Braced Frame Under Construction

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Steel Structures 10 - 91Instructional Material Complementing FEMA 451, Design Examples

Eccentrically Braced Frames

Eccentric bracing systems R Cd

Building frame system or part ofdual system w/ special moment frame

With moment resisting connections 8 4at columns away from links

Without moment resisting connections 7 4at columns away from links

These connectionsdetermine classification

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Steel Structures 10 - 92Instructional Material Complementing FEMA 451, Design Examples

Eccentrically Braced FramesDesign Procedure

1. Elastic analysis2. Check rotation angle; reproportion as required3. Design check for strength4. Design connection details

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Steel Structures 10 - 93Instructional Material Complementing FEMA 451, Design Examples

Eccentrically Braced FramesExample

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Steel Structures 10 - 94Instructional Material Complementing FEMA 451, Design Examples

Eccentrically Braced FramesRotation Angle

1. Compute total Δ = Cd ΔE

2. Deform model as rigid-plastic mechanism with hinges at ends of line

3. Compute rotation angle at end of link

p

p

p

p

p

p

p

p

VM

LVM

whenforeInterpolat

VM

Lwhenradians

VM

Lwhenradians

6.26.1

6.202.0

6.108.0

<<

≥≤

≤≤

α

α

α

4. Check limits (Sec. 15.2g)

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Steel Structures 10 - 95Instructional Material Complementing FEMA 451, Design Examples

Eccentrically Braced FramesRotation Angle Example

8.5' 3.0' 8.5'

12.6

7'

θ

Δ

α

From computer analysis:

Total drift:

From geometry:

0.247e inΔ =

4(0.247) 0.99 .d eC inΔ = Δ = =

( )

max

20 0.99 0.0433 12.67 12

1.63.0 ' 3.52'

0.08 0.043

p

y

L rade

MBecause e

F

rad rad OK

α θ

α

⎛ ⎞⎛ ⎞ ⎛ ⎞= = =⎜ ⎟⎜ ⎟ ⎜ ⎟⎜ ⎟⎝ ⎠ ⎝ ⎠⎝ ⎠

= < =

= >

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Steel Structures 10 - 96Instructional Material Complementing FEMA 451, Design Examples

Eccentrically Braced FramesRotation Angle

• Rotation angle limits based on link beam equivalent length

- Short links yield in shear and are allowedgreater rotation

• Rotation angle may be reduced in design by:

- Increasing member size (reducing Δe)- Changing geometric configuration(especially changing length of link beam)

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Steel Structures 10 - 97Instructional Material Complementing FEMA 451, Design Examples

Eccentrically Braced FramesLink Design

• Provide strength V and M per load combinations• Check lateral bracing per AISC Lpd

• Local buckling (width to thickness of web and flange) per AISC Seismic

• Stiffeners (end and intermediate) perAISC Seismic

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Steel Structures 10 - 98Instructional Material Complementing FEMA 451, Design Examples

Eccentrically Braced FramesBrace Design

⎟⎠⎞⎜

⎝⎛⋅> linkofstrengthshear

designfromforceaxialR25.1Strength y

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Steel Structures 10 - 99Instructional Material Complementing FEMA 451, Design Examples

Eccentrically Braced FramesBrace Design Example

Check axial strength of 15.26 ft long TS 8 x 8 x 5/8 Fy = 46 ksi:

( )

( )( )

2 2

2 2

4676.4

(1)(15.26) 1261.2

2.99

61.2 4.71 118.3 0.658

(29,000) 76.461.2

0.658 46 35.8

0.9 16.4 35.8 528

y

e

FF

cr yy

e

cr

c n c g cr

KLr

E F FF

EF ksiKLr

F ksi

P A F kip

π π

φ φ

= =

⎛ ⎞⎜ ⎟< = ∴ =⎜ ⎟⎝ ⎠

= = =⎛ ⎞⎜ ⎟⎝ ⎠⎛ ⎞

= =⎜ ⎟⎝ ⎠= = =

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Steel Structures 10 - 100Instructional Material Complementing FEMA 451, Design Examples

Eccentrically Braced FramesBrace Design Example

( )( )( )

( )( )( )( )

0.9(0.6 ) 0.9 0.6 50 16.4 0.43 190

2 0.9 50 1052(0.9) / 262.5

3 12

w

p

n y

n

V F d t kip

or

V M e kip

φ

φ

= ⎡ ⎤= =⎣ ⎦

= = =

( ) ( )

( ) ( )85.2 120.2

1901.25 1.1 120.2 369 52885.2

e link e brace

u

V kip and P kip

P OK

= =

⎛ ⎞∴ = = <⎜ ⎟⎝ ⎠

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Steel Structures 10 - 101Instructional Material Complementing FEMA 451, Design Examples

NEHRP Recommended ProvisionsSteel Design

• Context in NEHRP Recommended Provisions

• Steel behavior

• Reference standards and design strength

• Moment resisting frames

• Braced frames

• Other topics

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Steel Structures 10 - 102Instructional Material Complementing FEMA 451, Design Examples

Special Truss Moment Frame

• Buckling and yieldingin special section

• Design to be elasticoutside special section

• Deforms similar to EBF

• Special panels to be symmetric X orVierendeel

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Steel Structures 10 - 103Instructional Material Complementing FEMA 451, Design Examples

Special Truss Moment Frame

Geometric Limits:

5.2tb,diagonalsbarFlat

23

dL

32

5.0LL1.0

'6d'65L

p

s

<<

<<

≤≤

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Steel Structures 10 - 104Instructional Material Complementing FEMA 451, Design Examples

Special Truss Moment Frame

( )2

2 sin 0.3pcp nt cd

s

i i p

MV P P

L

F h V L

α⎛ ⎞

= + +⎜ ⎟⎝ ⎠

=∑ ∑

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Steel Structures 10 - 105Instructional Material Complementing FEMA 451, Design Examples

Special Truss Moment Frame

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Steel Structures 10 - 106Instructional Material Complementing FEMA 451, Design Examples

Special Truss Moment Frame

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Steel Structures 10 - 107Instructional Material Complementing FEMA 451, Design Examples

General Seismic DetailingMaterials:

• Limit to lower strengths and higher ductilities

Bolted Joints:• Fully tensioned high strength bolts• Limit on bearing

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Steel Structures 10 - 108Instructional Material Complementing FEMA 451, Design Examples

General Seismic DetailingWelded Joints:

• AWS requirements for welding procedure specs• Filler metal toughness

• CVN > 20 ft-lb @ -20°F, or AISC Seismic App. X• Warning on discontinuities, tack welds, run offs,

gouges, etc.Columns:

• Strength using Ωo if Pu / φPn > 0.4• Splices: Requirements on partial pen welds and

fillet welds

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Steel Structures 10 - 109Instructional Material Complementing FEMA 451, Design Examples

Steel DiaphragmExample

φVn = φ (approved strength)

φ = 0.6

For example only:Use approved strength as 2.0 x working load inSDI Diaphragm Design Manual

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Steel Structures 10 - 110Instructional Material Complementing FEMA 451, Design Examples

Steel Deck Diaphragm ExampleL

dVE VE

wE

plf500w0ww

'40d'80L

ELD ===

==

( ) plf4176.02

5002vv

plf50040

20000v;kip202LwV

ESDI

EE

E

==φ

=

====

Deck chosen:1½ “, 22 gage with welds on 36/5 pattern and 3sidelap fasteners, spanning 5’-0”

Capacity = 450 > 417 plf

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Steel Structures 10 - 111Instructional Material Complementing FEMA 451, Design Examples

Welded Shear Studs

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Steel Structures 10 - 112Instructional Material Complementing FEMA 451, Design Examples

Shear Stud Strength - AISC 2005 Specification

Qn = 0.5 Asc ( fc’ Ec)1/2 ≤ Rg Rp Asc Fu

Rg = stud geometry adjustment factorRp = stud position adjustment factor

Note that the strength reduction factor for bending has been increased from 0.85 to 0.9. This results from the strength model for shear studs being more accurate, although the result for Qn is lower in the 2005 specification.

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Steel Structures 10 - 113Instructional Material Complementing FEMA 451, Design Examples

Rg = 1.0 Rg = 1.0* Rg = 0.85 Rg = 0.7

Shear Studs – Group Adjustment Factor

*0.85 if wr/hr < 1.5

Qn = 0.5 Asc ( fc’ Ec)1/2 ≤ Rg Rp Asc FuRg = stud group adjustment factor

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Shear Studs – Position Adjustment Factor

Rp = 0.75 (strong)= 0.6 (weak)

Rp = 1.0 Rp = 0.75

DeckNo Deck

Qn = 0.5 Asc ( fc’ Ec)1/2 ≤ Rg Rp Asc FuRp = stud position adjustment factor

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Shear Studs – Strength Calculation Model Comparison

0

5

10

15

20

25

30

35

0 5 10 15 20 25 30 35

AISC Predicted Stud Strength, QN (k)

Expe

rim

enta

l Stu

d St

reng

th, Q

e (k)

S Studs2S StudsW Studs

Qe=QN

0

5

10

15

20

25

0 5 10 15 20 25

Predicted Stud Strength, Qsc (k)

Expe

rimen

tal S

tud

Stre

ngth

, Qe (

k)

Qe=Qsc

AISC Seismic prior to 2005

Virginia Tech strength model

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Steel Structures 10 - 116Instructional Material Complementing FEMA 451, Design Examples

Shear Studs – Diaphragm Applications

Shear studs are often used along diaphragm collector members to transfer the shear from the slab into the frame. The shear stud calculation model in the 2005 AISC specification can be used to compute the nominal shear strengths. A strength reduction factor should be used when comparing these values to the factored shear. There is no code-established value for the strength reduction factor. A value of 0.8 is recommended pending further development.

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Inspection and TestingInspection Requirements

• Welding:- Single pass fillet or resistance welds

> PERIODIC- All other welds

> CONTINUOUS

• High strength bolts:> PERIODIC

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Inspection and TestingShop Certification

• Domestic:- AISC- Local jurisdictions

• Foreign:- No established international criteria

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Inspection and TestingBase Metal Testing

• More than 1-1/2 inches thick

• Subjected to through-thickness weld shrinkage

• Lamellar tearing

• Ultrasonic testing

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NEHRP Recommended ProvisionsSteel Design

• Context in Provisions

• Steel behavior

• Reference standards and design strength

• Moment resisting frames

• Braced frames

• Other topics

• Summary


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