The Analysis of Offset Diaphragms and Shear...

47
By: R. Terry Malone, PE, SE Senior Technical Director Architectural & Engineering Solutions [email protected] Presentation updated to 2012 IBC, ASCE 7-10 Copyright McGraw-Hill, ICC and the Wood Products Council Presentation based on: Webinar Presentation, June 5, 2014: The Analysis of Offset Diaphragms and Shear Walls

Transcript of The Analysis of Offset Diaphragms and Shear...

Page 1: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

By: R. Terry Malone, PE, SESenior Technical DirectorArchitectural & Engineering [email protected]

Presentation updated to 2012 IBC, ASCE 7-10Copyright McGraw-Hill, ICCand the Wood Products Council

Presentation based on:Webinar Presentation, June 5, 2014:

The Analysis of Offset Diaphragms and Shear Walls

Page 2: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Outline / Learning Objectives

• Basic InformationDiscuss boundary elements, complete lateral resisting load path requirements, related code sections, and how to establish complete lateral load paths across areas of discontinuity.

• Discuss an analytical method used for the analysisDiscuss an analytical method used for solving complex diaphragms and shear walls using “Transfer Diaphragms” and the “Visual Shear Transfer Method.”

• Horizontally offset Diaphragms Review the analysis of flexible offset diaphragms consisting of structural wood panel sheathing or un-topped steel decking.

• In-plane and out-of-plane offset shear walls Review the analysis and effects of horizontally out-of-plane and in-plane offset shear walls.

Page 3: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

http://www.woodworks.org/education-publications/research-papers/#

Complete Example with narrative and calculations

Page 4: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Marselle Condominiums 5 stories of wood over 6 stories concrete Structural Engineer engineer: Yu & Trochalakis, PLLC (podium) 2 above gradePhotographer: Matt Todd Photographer

Mid-rise Multi-family

Page 5: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Dis

cont

inuo

us c

hord

sTr

ansv

erse

Cant.

Mid-rise Multi-family

SWSWSWSW

SWSWSWSWSW

SW

Lds. Discontinuous strutsLongitudinal

Lds.

No exteriorShear walls

Flexible, semi-rigid, or rigid???

Page 6: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Harrington Recovery CenterStructural engineer: Pujara Wirth Torke, Inc.Photographer: Curtis Walz

Offsets in the diaphragm and walls

Vertically offset Diaphragms?

Openings in diaphragm

Page 7: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Presentation AssumptionsFlexible wood sheathed or un-topped steel deck diaphragms

(Can also apply to semi-rigid and rigid diaphragms)

• Loads to diaphragms and shear walls• Strength level or allowable stress design• Wind or seismic forces.

• The loads are already factored for the appropriate load combination.

Code and Standards: • ASCE 7-10 “Minimum Design Loads for Buildings and Other Structures”• 2012 IBC• 2008 SDPWS-”Special Design Provisions for Wind and Seismic”

Analysis and Design references:

• The Analysis of Irregular Shaped Structures: Diaphragms and Shear Walls-Malone, Rice

• Woodworks-The Analysis of Irregular Shaped Diaphragms• Design of Wood Structures- Breyer, Fridley, Pollock, Cobeen• SEAOC Seismic Design Manual, Volume 2• Wood Engineering and Construction Handbook-Faherty, Williamson• Guide to the Design of Diaphragms, Chords and Collectors-NCSEA

Page 8: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

• Boundary Elements • Complete Load Paths• Method of Analysis

Basic Information

Page 9: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Diaphragm 1 Diaphragm 2

Diaphragm 2 Boundary (typical)

Chord

Chord

Col

lect

or

Stru

tSt

rut

Chord

Stru

t

Fundamental Principles:A shear wall is a location where diaphragm forces are resisted(supported), and therefore defines a diaphragm boundary location.

Note: Interior shear walls without a collector or a complete alternate load path are NOT ALLOWED!

Diaphragm Boundary Elements

SW1

SW2

SW3

Note: All edges of a diaphragm shall be supported by a boundary element.

Diaphragm 1 Boundary (typical)

• Diaphragm Boundary Elements:• Chords, drag struts, collectors, Shear walls,

frames• Boundary member locations:

• Diaphragm and shear wall perimeters• Interior openings• Areas of discontinuities• Re-entrant corners.

• Diaphragm and shear wall sheathing shall not be used to splice boundary elements.

• Collector elements shall be provided that are capable of transferring forces originating in other portions of the structure to the element providing resistance to those forces.

Required for Seismic and wind

1 2

B

3

C

A

Page 10: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Strut/chord

Open

3

4

5

21

FE

D

C

B

6 9 107 8

Strut/chord

Stru

t

Stru

t (ty

p.)

Strutchord

Strut chord

Strut /chord

Stru

t

Strut/chord

Strut/chord

SW1

SW5

SW2SW3

SW6

SW4

Stru

t

MR

F1

Multiple offset diaphragm

Offset strut

Support Support

Col

lect

or

Collector

Collector(typ.)

Collector(typ.)

Collector (typ.)

Col

lect

or (t

yp.)

A

Complete Continuous Lateral Load Paths

Analysis: ASCE7-10 Sections:• 1.3.1.3.1-Design shall be based on a rational analysis• 12.10.1-At diaphragm discontinuities such as openings and re-entrant

corners, the design shall assure that the dissipation or transfer of edge (chord) forces combined with other forces in the diaphragm is within shear and tension capacity of the diaphragm.What does

this mean?

Page 11: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Strut/chord

Open

3

4

5

21

FE

D

C

B

6 9 107 8

Strut/chord

Stru

t

Stru

t (ty

p.)

Strutchord

Strut chord

Strut /chord

Stru

t

Strut/chord

Strut/chord

SW1

SW5

SW2SW3

SW6

SW4

Stru

t

MR

F1

Support Support

Col

lect

or

Collector

Collector(typ.)

Collector(typ.)

Collector (typ.)

Discontinuousdiaphragm chord/strut

Discontinuousdiaphragm chord

Discont.diaph. chord

Discont.diaphragm chord

Discont.diaphragm chord

Col

lect

or (t

yp.)

A

Complete Continuous Lateral Load Paths

ASCE7-10 Section 1.4-Complete load paths are required including members and their splice connections

Page 12: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Strut/chord

Open

3

4

5

21

FE

D

C

B

6 9 107 8

Strut/chord

Stru

t

Stru

t (ty

p.)

Strutchord

Strut chord

Strut /chord

Stru

t

Strut/chord

Strut/chord

SW1

SW5

SW2SW3

SW6

SW4

Stru

t

MR

F1

Offset shear wallsand struts

Support Support

Col

lect

or

Collector

Collector(typ.)

Collector(typ.)

Collector (typ.)

Offset shear walls

Col

lect

or (t

yp.)

A

Complete Continuous Lateral Load Paths

ASCE7-10 Section 1.4-Complete load paths are required including member and their splice connections

Page 13: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Strut/chord

Open

3

4

5

21

FE

D

C

B

6 9 107 8

Strut/chord

Stru

t

Stru

t (ty

p.)

Strutchord

Strut chord

Strut /chord

Stru

t

Strut/chord

Strut/chord

SW1

SW5

SW2SW3

SW6

SW4

Stru

t

MR

F1

Openingin diaph.

Support Support

Col

lect

or

Collector

Collector(typ.)

Collector(typ.)

Collector (typ.)

Col

lect

or (t

yp.)

Vertical offset indiaphragm

A

Complete Continuous Lateral Load Paths

Design: • IBC 2305.1.1-Openings in shear panels that materially effect their strength shall be fully

detailed on the plans and shall have their edges adequately reinforced to transfer all shear stresses.

Page 14: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

• Boundary Elements • Complete Load Paths• Method of Analysis

Basic Information

Page 15: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Method of AnalysisThe Visual Shear Transfer Method

+ -

+

Positive Direction

+ -

Transverse Direction (shown)

Lds.

Shears Applied to Sheathing Elements

FY

FX

+M

Symbol for 1 ft x 1 ft square piece of sheathing in static equilibrium (typ.)

+

+ -

Shears Transferred Into Boundary Elements

Unit shear transferred from the sheathing element into the boundary element (plf)

Unit shear acting on sheathing element (plf)

Page 16: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

+

-

+-

+ -

-+

Basic Shear DiagramPositive diaph.shear elements

Pos.

Neg.

Diaphragm shear transferred into boundary element (typ.)

Strut intension

Resisting wallshears

Resisting wallshears

Resisting wallshears

Strut inCompr.

Strut incomp.

Strut intension

SW 2

SW 1

SW 3

DiaphragmC.L.

Strut Forces Strut ForcesT

C

T

T

C

C

1 2

A

B

Negative diaph.shear elements

(-)

(+)

(+)

(+)

(-)

(-)

(-)

+ -

Positive sign convention

Maximum moment

1 ft. x 1 ft. square sheathingelement symbol at any location in the diaphragm.

Shear Distribution Into a Simple DiaphragmThe Visual Shear Transfer Method

Support Support

SW

SW

All edges of a diaphragm shall be supported by a boundary element (chord, strut, collector) or other vertical lateral force resisting element (shear wall, frame).

w=uniform load

Page 17: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Introduction to Transfer Diaphragmsand Transfer Areas

Col

lect

or

T Collector

(support)

(support)

Chord

Chord

TD1TD Ratio=4:1

Maximum Col

lect

or

T

Framing members, blocking, and connections shall extend into the diaphragm a sufficient distance to develop the force transferred into the diaphragm.

Transfer Diaphragm

• sub-diaphragm• Transfers local forces out to primary

chords/struts of the main diaphragm.

What doesthis mean?

Page 18: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

SW

SW

Diaph.C.L.

W ( plf)

Longitudinal Collector

Diaphragm chord

Discontinuousdiaphragm chord

1 2

A

B

3

CDiaphragm chord

Dra

g st

rut

Diaphragm support

Diaphragmsupport

Transfer Diaphragm Members and Elements

4

Transfer Area

Diaphragm chord

• The length of the collector is oftendetermined by dividing the collector force by the diaphragm nailing capacity.(Wrong!)

• The collector is often checked for tension only. (Wrong!) Compression is rarely checked.

Typical calloutCMST14 tie strap x 10’-0” with (xx) 10d nails over 2x flat blocking. Lap 2-8” onto wall.

Page 19: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Transfer Mechanism

1 2

B

3

C

T C

Main chord

Main chord

B

C

A

2 3

Disruptedchord

Res

istin

g fo

rces

Transfer area without transverse collectors

Transfer using beam concept

Transfer Diaphragm

( Beam)

Transferarea

Disruptedchord

Support

Support

Collector

Rotationof section

This force must be transferred out to the main chords. A complete load path is required.

Collector must extend the full depth of the transfer diaphragm

NOTE:

SW

CollectorFull depthChord

Cho

rd/C

olle

ctor

Stru

t

TD1

Cho

rd/C

olle

ctor

SW

Discontinuousdiaphragm chord

SW

Res

istin

g fo

rces

Page 20: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

SW

Col

lect

or

T T

+

-

Analogous to a beam with a concentrated Load.

Chord force at discontinuity

Subtract from basic shears

Add to basic diaphragmshears

1

A

B

2

C

Collector

(TD support)

(TD support)

Chord

TD1

Basic Shear Diagram at transfer diaphragm

-75 plf

+250 plf

+300plf +225 +225

plf plf

vnet=+300+(250)= +550 plf

vnet =+225–(75)= +150 plf

3

TD depthTr

ansf

er d

iaph

ragm

leng

th

+

, Shear = VC

DTD DTD

, Shear = VADTD

vnet=+300-(75)= +225 plf

vnet =+225 +(250)= +475 plf

Transfer Diaphragm Shears

ab

VA=

VC=

LTD

T(b)LTD

T(a)LTD

LTD

Basic ProcedureMethod by Edward F. Diekmann

+500plf

Main chord

Main chord

Disruptedchord

Basic diaph.shear TD shears

vnet= 300 + (250) = 550 plfNet shear

The transfer diaph.aspect Ratio should be similar to the main diaphragm.

No outside force is changing the basic diaphragmshear in this area

No outside force is changing the basic diaphragm shear in this area

T

C

Col

lect

or

Page 21: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

+ +

+ +

+225 plf +150 plf

+550 plf +475 plf

Resulting net shear diagram on collector

325 plf 325 plf

Net directionof shears actingon collector

Shear Distribution Into The Collector

Direction of shear transferred into collector

Collector

• Collector force=area of shear diagram

Shear left=+550-225= +325 plf

2

• Place the net diaphragm shear on each side of the collector

• Sum shears on collector (based upon direction of shears transferred onto collector).

Fcollector=(325+325)(Lcollector)Dir. of forceon collector

B

2 3

Net shear

Note: The net shears will not always be equal.

Lcollector

• Place the transfer shears on each side of the collector

Shear right=+475-150=+325 plf

Page 22: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

TD1

Support

Support

Discont. Chord / strutF

ab

A

C

B

21Transfer Diaph. depth

Tran

sfer

Dia

ph. l

engt

h

LaFRA

)(

L

LbFRC

)(

TransferDiaphragm

Analogous to a simple span beam with a concentrated load

TD1

Support

Support

Discont. Chord / strutF

A

C

B

21Transfer Diaph. depth

Tran

sfer

Dia

ph. l

engt

h

bLFRB)(

L

baFRA

)(

TransferDiaphragm

Analogous to a propped cantilever beam with a concentrated load

Simple Span Transfer Diaphragm

Collector Chord, strutor shear wall

Chord, strut or shear wall

Chord, strut or shear wall

Chord, strut or shear wall

F

F

RB

RA

RC

RA

Propped Cantilever Transfer Diaphragm

ab

Simple Span and Propped Cantilever Transfer Diaphragms

Page 23: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Diaphragms with Horizontal Offsets

Page 24: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

SW 1SW 2

Diaph.C.L.

25’ 20’

15’

w=200 plf

Diaph. chord Collector

Col

lect

or

TD c

hord

s

Diaph. chord

80’

35’

50’

Discontinuousdiaphragm chord

1 2

A

B

3

C

Col

lect

or

TD c

hord

s

Support

Support

TD1

+ -

Sign Convention

4

Diaph. chord

F2B

RL lb

200 plf

25’

F2A

Free body for F2B

1 2

A

B

∑M=035’

M2B ft.-lbF2B lb

Support RL lb

RR lb

Example 1-Diaphragm with Horizontal End OffsetTransverse Loading

V2 lb

V3 lb

A/R=2.5:1

Support

Page 25: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

SW 1

SW 2

Diaph.C.L.

25’ 20’

15’

80’

V=Basic shear- TD shear plf

F2Bv= DTD

Vc plf

VA lb

VC lbv= Net shear> 2x

Basic shear

v2R plf v2L plf

v1 plf

v3 plf

1 2

A

B

3

C

Basic shear diagram

Net TD shears (basic shear +/- transfer diaph. shears)

No net change Net change occurs in TD

No net change

35’

Transfer Diaphragm and Net Diaphragm Shear

+ -

Sign Convention

4

15’

35’

RL lb

RR lb

(Net shear)

Pos.

Neg

.

v4 plf

TD s

hear

dia

gram

F2B

v= DTDVA plf

Page 26: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

SW 1SW 2

Diaph.C.L.

25’ 20’

15’

F3C

FCL

C

T F2B

T

F2A

1 2

A

B

3

C

F2B

+v2

-v3x1’

x2’+F lb-F lb

Longitudinal Chord Force Diagrams

0 plf

+ -

Sign Convention4

17.5’

v1 v2L

Support

Support

0 plf

FCL

F2B

F3C

Page 27: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

SW 1

25’ 20’

15’

F=6000 lb

F=6000 lb(this is not an insignificant force.)

F3B

F3B

T C

1 2

A

B

3

C

Transverse Collector Force Diagrams

+ -

Sign Convention

Net shear Net shear

Page 28: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Diaphragm Nailing Callouts

10d

@ 4

/6/1

2 B

1

2 3 Transfer area Boundary (High shear area)

Transfer diaphragm Boundary (Typ.)

Boundary locations

Diaphragm boundary

357.

2 pl

f

320

plf

285

plf

214.

3 pl

f 42

.9 p

lf

37.1

plf

70 p

lf

214.3 plf 357.1 plf

70 plf Basic shear diagram150 plf

10d

@ 6

/6/1

2 B

10d

@ 6

/12

UB

Cas

e I

10d @ 4/6/12 B

10d

@ 6

/12

UB

Cas

e I

10d

@ 6

/12

UB

Cas

e I

Check the shear capacity of the nailing along the collector

Callout all nailing on drawings:• Standard diaphragm nailing• Boundary nailing• Collector nailing

x4x3x1 x2 Special nailing along collectors Sum of shears to collector or highest boundary nailing-greater of

Page 29: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

SW 1

Diaph.C.L.

25’ 20’

15’

200

plf

Cho

rd

Collector

Col

lect

or a

nd

TD c

hord

s

80’

Transfer diaphragm

TD135’

50’

DiscontinuousDrag strut

1 2

A

B

3

C

4

10’5’

15’

200

plf

Diaphragm 2Diaphragm 1

SW 2Drag strut

40 plf 160 plf

Cho

rd

5’

+Pos. direction -

200 plfDrag strut

Col

lect

or a

nd

TD c

hord

s

Example 2-Diaphragm with Horizontal End OffsetLongitudinal Loading

DiscontinuousDrag strut

Page 30: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

15’

35’

VA

SW 2A

B

C

4

SW 1

+Pos. direction -

Dia

ph.

C.L

.

vA

2

BTransfer area

Transfer Diaphragm and Net Diaphragm Shear

(Net shear)

+

-10’

15’

12 3

Vnet=vsw-vdiaph

Neg

.Po

s.

VB

Dia

phra

gm 2

Dia

phra

gm 1

VB

Vnet=vsw-vdiaph

vB

vC

(Net shear)

Page 31: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

25’ 20’

15’

80’

35’50’

CHECK: FstrutFchord

10’ SW 2

1 2

A

B

3

C

4

15’ SW 1

Vnet @ SW

+Pos. direction -

Longitudinal and Transverse Collector/Strut Force Diagrams

F2A5’ 5’

F3B

F3B

F2BLong

F2BTrans

Fend

Fstart

F2BTrans

F2BLong

Vnet @ SW

Page 32: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Offset Shear Walls

SW 1

SW 2

Col

lect

or

Collector

Collector

Out-of-plane Offsets In-plane Offsets

Page 33: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Out-of-Plane Offset Shear WallsAssumed to act in the Same Line of Resistance

Loads

Col

lect

or

Collector

Collector

SW

SW

Transfer area

Offset

Discont.drag strut

Dra

g st

rut

Dra

g st

rut

SW

Col

lect

or

Collector

Collector

• Offset walls are often assumed to act in the same line of lateral-force-resistance.

• Calculations are seldom provided showing how the walls are interconnected to act as a unit, or to verify that a complete lateral load path has been provided.

• Collectors are required to be installed to transfer the disrupted forces across the offsets.

Discont.drag strut

Typical mid-rise multi-family structure at exterior wall line

Where offset walls occur in the wall line, the shear walls on each side of the offset should be considered as separate shear walls unless provisions for force transfer around the offset are provided.

Check for Type 2 horizontal irregularityRe-entrant corner irregularity

Page 34: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Cant.

Longitudinal Loading

Offset transverse walls In-line transverse walls

No exteriorShear walls ??

Flexible, semi-rigid, or rigid???

Page 35: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

TD3

TD1

TD2

SW4

SW3

SW5

SW2

SW1

Diaphragm stiffness changes

Higher shears and nailing requirements

Multi Story, Multi-family Wood Structure

1

2

3

Loads

I1 I2 I3

Page 36: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

SW 1

SW 2

25’ 20’

15’

200

plf

Drag strut

Cho

rd

colle

ctor

s

Cho

rd

80’

35’50’

Drag strut is discontinuous

1 2

A

B

3

C

4

10’25’ 5’

15’

200

plf

TD1C

hord

co

llect

ors

Pos. direction + -

SW 3 SW 4

8’

8’

Drag strut

Collector

5’

12’45’

80’

Drag strut

Drag strutC

hord

Drag strut

Example 3-Diaphragm with Horizontal End OffsetLongitudinal Loading-Offset Shear Walls

Assumptions:1. Assume shear walls at grid lines B and C

act along the same line of lateral-force-resistance.

2. Assume the total load distributed to grid lines A and B/C= wL/2 .

Offset SW

Offset SW

Support

Support

Page 37: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

SW 2

35’

50’

1 2

A

B

3

C

10’

8’

Pos. direction + -

8’

2

SW 3

Pos.

40 plf 160 plf

200

plf

200

plf

SW 1

Vnet=Vsw-Vdiaph

FendF2B

F2B

VA

VB

Basic Diaphragm Shears and Transfer Diaphragm ShearN

eg.

200 plf

Vsw2=wL/2 plf∑ Vsw1, sw3, sw4=wL/2, vsw=∑V1,3,4/(Lsw1+Lsw3+Lsw4) plf

Determine Force transferred Into Transfer Diaphragm

Total Shear to Shear Walls (Assumed)

17’

SW 4

15’

F2B

VA

VC

VA

VC

VB

Page 38: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

25’ 20’

15’

80’

1 2

A

B

3

C

No net change Net change in TD

No net change

35’

Net Diaphragm Shears

8’ SW 1

15’SW 3 SW 4

SW 2

Pos. direction + -

50’

Vnet sw

Pos.

Neg

.

8’

4

V=Basic shear- TD shear plf

(Net shear)

Vnet sw

Vnet sw Vnet swV=Basic shear- TD shear plf

(Net shear)

VA

VC

VA

VC

VB

Page 39: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

15’

-

F2B

F2B

1

2

A

B

3

C

Transverse Collector Force Diagrams

8’ SW 18’ SW3 15’ SW 4

Pos. direction + -

SW 2

Net shear

Special nailing

So far, so good

Net shear (TD tension chord and Diaph.2 compression Chord)

Net shear-vB

+vC

x1’

x2’

+F

-F

F3B

F3B

Diaphragm 2

Page 40: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

25’ 20’

15’

80’

F= F2B

Fstart

F3C

1 2

A

B

3

C

Longitudinal Strut Force Diagrams

SW 4

Pos. direction + -

SW 2

15’

Fend

F2B

F4C = -xxx lb (Error)

F2AFend

F3A

F4A=+xxx lb (Error)

Note: Neither force diagram closes to zero, therefore error.Notice that they do not close by the same amount.

8’

12’

8’

45’

5’ 5’10’

80’

SW 1

SW 3

Vnet sw

Vnet swVnet sw

Vnet sw

FstartFend

Fstart

Page 41: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

4600 lb

25’ 20’

15’

80’

1 2

A

B

3

C

Adjusted Longitudinal Strut Force Diagrams (8% increase to B/C)[Amount shifted to B/C depends on the offset to span ratio of the transfer diaphragm]

SW 1

SW 3 SW 4

Pos. direction + -

SW 2

5400 lb

Line needs to move in this direction

The shear wall shearsneed to be higher in order to move the force diagram in this direction

Line needs to move in this direction

The shear wall shearsneeds to be lower in order to move the force diagram in this direction

Load distribution needs to increase towards line B/C. Increase the load to B/C by the amount off +/-.

Calculated forces

Revisedforces

Page 42: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

In-plane Offset Shear Walls

Page 43: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Wd

Hdr

Sill

Nail shtg. To each 2x stud

No hold down(option 1)Hold-down(option 2)

Blk’g. or rim joist

Section does not comply with the required aspect ratio for a perforated or FTO shear wall.

4’

8’

8’

8’

12’

1’

2000 lb

3000 lb

Hdr/collector

Wd

Sill

DL=150 plf

DL=250 plf

SW2

SW1

6’

Example 4-In-plane Offset Segmented Shear Wall-with Gravity Loads

1’

Col

lect

or

VHdr=960 lb

VHdr=450 lb

A B C D

ASCE 7 Table 12.3-2-Type 4 vertical irreg.- in-plane discontinuity in the LFRS

Page 44: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Ends of wall panels do not line up. Requires special nailing of sheathing into stud below.

Nailing found in field was 12” o.c.

Requires same number of studs above and belowwith boundary nailing each stud Solid blocking

required

Photo-In-plane Offset Segmented Shear Walls

No hold-down below

Hold down

Hold down

Page 45: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Wall and Transfer Diaphragm Shears

5000 lb

8’

8’4’

2920 lb1080 lb

++

2000 lb

8’

8’

+Pos. direction -

5000 lb1’

12’416.67 lb416.67 lb

416.67416.673370

1080

Upper Shear Wall

Rim joist

135 365

Col

lect

or

1080 lb330 plf (incl. wall DL)

Lower Shear Wall

TD shears-lbs. (plf)

w=230 plf (incl. wall DL)

+- 8’4’

SW2

SW1

+250

plf

+416

.67

plf

1260(-157.5)

1020(-127.5)

60(+7.5)

1620(+202)

2490 lb 9700 lb

+ ++

+

1 2

+424.1

+259.2

+618.7+289.2

VHdr=450 lb

VHdr=960 lb

1260 lb(-157.5)

1620 lb(+202)

Sign Convention

+ shears

- shears

Aver.=250 plf +

+450 lb3370 lb

Bas

ic S

hear

Page 46: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

+T

T

++

+

2000 lb

3000 lb1’

8’

8’

8’4’

C

+Pos. direction -

Vertical Collector Forces

2nd floor Rim joist

++ SW1

SW2D

epth

TD

1 2

+424.2

+259.2

+618.7

135 365

+289.2

Roof

+

T

C

++

+

2000 lb

3000 lb

8’

1’

8’

8’

8’4’ C

2nd floor Rim joist

++ SW1

SW2

Dep

th T

D

1 2

+424.2

+259.2

+618.7

135 365

+289.2

Roof C

Horizontal Collector Forces

T

C

2490 lb 2490 lb

8’

416.67

365(8)+450=3370

9700 lb

VHdr=990 lb

416.67

Sign ConventionCollector Force Diagrams

9700 lb

Page 47: The Analysis of Offset Diaphragms and Shear Wallsncsea.confedge.com/asset/confEdge/NCSEA/_warehous… ·  · 2015-08-20(Can also apply to semi-rigid and rigid diaphragms) ... diaphragm

Questions?This concludes

The National Council of Structural Engineers Association Webinar Presentation-June 5, 2014

The Analysis of Offset Diaphragms and Shear Walls

R. Terry Malone, P.E., S.E.Senior Technical DirectorWoodWorks.orgPrescott Valley, Arizona

Contact Information:Technical or design assistance - [email protected] Book related questions - [email protected]

WoodWorkswoodworks.org