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Teaching Resources © IIT Madras, SERC Madras, Anna Univ., INSDAG Calcutta 1 BOLTED CONNECTIONS

Material Ch33&34

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Teaching Resources © IIT Madras, SERC Madras, Anna Univ., INSDAG Calcutta 1

BOLTED CONNECTIONS

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Teaching Resources © IIT Madras, SERC Madras, Anna Univ., INSDAG Calcutta 2

 Introduction• Bolted Connections

• Bolts and Bolting

• Force Transfer Mechanism

• Failure of Connections

In shear

In tension

Combined shear and tension

Block shear

CONTENTS

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Teaching Resources © IIT Madras, SERC Madras, Anna Univ., INSDAG Calcutta 3

Analysis of Bolt Groups –  Combined Shear and Moment in-Plane

 –  Combined Shear and Moment out-of-plane

•  Beam and Column Splices

•  Beam to Column Connections

•  Beam to Beam Connections

•  Truss Connections

•  Fatigue Behaviour

CONTENTS -1

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INTRODUCTION

• Designed more conservatively than members because they are more

complex to analyse and discrepancy between analysis and design islarge

• In case of overloading, failure in member is preferred to failure in

connection

• Connections account for more than half the cost of structural steelwork

• Connection design has influence over member design

• Similar to members, connections are also classified as idealised types

Effected through rivets, bolts or weld

•  Codal Provisions

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Concentr ic Connect ions

(a) (b)

Moment Connect ions

(a) (b)

TYPES OF CONNECTIONS

Classification based on type of resultant force transferred

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Shear Connect ions

a) Lap Connect ion b) But t Connect ion

 support(a)

(b)

Tension Connect ion and Tension plus Shear Conn ect ion

TYPES OF CONNECTIONS -!

Single

shear

Double

shear

Classification based on type of force in the bolts

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BOLTS AND BOLTING

Bolt Grade:  Grade 4.6 :- f u = 40 kgf/mm2 and f 

y = 0.6*40 = 24 kgf/mm2

Bolt Types:  Black, Turned & Fitted, High Strength Friction Grip

Black Bolts: 

usually Gr.4.6,

made snug tight,ductile and cheap,

only static loads

Turned & Fitted; 

Gr.4.6 to 8.8,

Close tolerance drilled holes,

0.2% proof stressHSFG Bolts: 

Gr.8.8 to 10.9,

less ductile,

excellent under dynamic/fatigue loads

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snug-tight

position

¾ turn

 position

Tightening of HSFG bolts

Feeler gauge

TIGHTENING OF HSFG BOLTS

1) Turn-of-nut Tightening2) Calibrated Wrench Tightening

3) Alternate Design Bolt Installation

4) Direct Tension Indicator Method

(a) Standard (b) Oversized

(c )Short Slot (d) Long slot

Hole types for HSFG bolts

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Bo lt Shear Transfer  – Free Body Diagram

(a) Bear ing Connect ion

(b) Fr ict ion Connect ion

T

Frictional Force T

Clamping Force, PO 

Bearing stresses

Tension

in bolt

T

T

T

Clamping Force, PO 

FORCE TRANSFER MECHANISM

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(b) HSFG

Connect ion

Bear ing type

connect ion

2T 

T  T 

2T 

To To To+ T To+ T

Proof Load

Po

Bol t

force

B kN  

Ap pl ied lo ad 2T (kN)

HSFG

Bearing

type

( c) External Tensio n

versus bol t  force  

BOLTS UNDER TENSION AND PRYING EFFECT

(d) Pryin g Effect

Q Q

B

 A

bn

T+Q

2T

T+Q

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PRYING EFFECT AND END PLATE DESIGN

Minimum prying force Q is given by

2

4

272   nb

wt  pT 

n

bQ   o  

 y

o

 p

 pt n

  

The corresponding prying force can then be obtained as Q = M p  /n .

If the total force in the bolt (T+Q)  exceeds the tensile capacity of the bolt,

then the thickness of the end plate will have to be increased.

QnTb M Qn M   B A     ; p B A   M 

Tb M  M   

2 415.1

2wt  p M 

  y

 p  

w p

 M 

t   y

 p

  415.1

min

 = 2 (non -prelo aded)  = 1.5 for limit state design

w = width/pair of bolts

Po= proof load in consistent units

n is the minimum of end distance or  

the minimum thickness of the plate is obtained as follows 

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FAILURE OF CONNECTIONS

(a) Shearing of Bolts

(b) Bearing on Bolts

(c) Bearing on Plates

 Zone of

 plastification

Fig. 9Shear Connections with Bearing Bolts

Ps = ps As where As = 0.8A

Pbb = pbb d t

Pbs = pbs d t  ½ e t pbs

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FAILURE OF CONNECTIONS-1

Shear Connections with HSFG Bolts

(a) Slip Resistance

(b) Bearing on Plates

Psl = 1.1 Ks  po

Pbg = pbgd t  1/3 e t pbg

Ks =1.0 (clearance hole) = 0.45 (untreated surfaces)

po= proof load

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Bolt strengths Bolt grade

4.6 8.8

Shear strength p s   160 375

Bearing strength p bb 

  435 970

Tension strength p t   195 450

Steel grade ST42S Gr.43 Gr.50Bearing bolts p 

bs   418 460 550

HSFG bolts p bg 

  650 825 1065

Table 1 Bolt Strengths in Clearance Holes in MPa 

Table 2 Bearing Strengths of Connected Parts in MPa 

DESIGN STRENGTHS FOR BOLTED CONNECTIONS

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f t  /P t  

10.4

Shear and Tension

Interact ion Curv e  

f s  /P s  1

0.4

COMBINED SHEAR AND TENSION

4.1t 

 s

 s

 P 

 f  

 P 

 f  

0.18.0   t 

 sl 

 sl 

 P 

 f  

 P 

 f  

(a) Bearing Bolts

(a) HSFG Bolts

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Bloc k Shear

BLOCK SHEAR FAILURE

T

A

B C)()(   5.06.0  BC e y ABe y   A p A pT   

Capacity=Shear Capacity of AB + Tension Capacity of BC

T = (0.62 Avg

f y/M0

 + Atn

f u /M1

)

or

T= (0.62 Avn f u /M1 + Atg  f y /M0)

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GENERAL ISSUES IN CONNECTION DESIGN

M = Td

Standard Connections (a) moment

connection (b) simple connection

e

V

T

C

dV

(a) (b)

Assumptions in traditional analysis

• Connection elements are assumed to

be rigid compared to the connectors

• Connector behaviour is assumed to

be linearly elastic

• Distribution of forces arrived at by

assuming idealized load paths

• Provide stiffness according to the

assumed behaviour

• ensure adequate ductility and rotation

capacity

• provide adequate margin of safety

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COMBINED SHEAR AND MOMENT IN PLANE

Bolt group eccentrically

loaded in shear

  Pr i  

R mi  

O

 x’  

y’  

• Bolt shear due to Px

 and Py

 

Rxi  = Px /n and Ryi = Py /n 

• M = Px y’ + Py x’

• Rmi = k r iMi = k r i

2

MR = k r i2 = k r i2

• Bolt shear due to M

Rmi=M r i /  r i2 

  22

sincos imi yiimi xii   R R R R R       

2

22

2

22 )()( ii

i y

ii

i xi

 y x

 Mx

n

 P 

 y x

 My

n

 P  R

Combined shear

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COMBINED SHEAR AND MOMENT OUT-OF-PLANE

Bolt group resisting out-of-plane moment

Ti 

d li  Li 

NAd/6

Li 

(a) (b) (c)

C

Ti = kli where k = constant

M = Ti Li = k li Li 

Ti = Mli /  li Li 

Shear assumed to be shared equally and bolts

checked for combined tension+(prying)+shear

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BEAM AND COLUMN SPLICE

Bolted Beam Splice

(a)Conventional

Splice

(b) End-Plate

Splice

Strength, stiffness and ease in erection

Assumptions in

Rolled-section

& Plate Girders

Column Splices – bearing type or HSFG moment splices

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BEAM-TO-COLUMN CONNECTIONS

(a) Simple  – transfer only shear at nominal eccentricity

Used in non-sway frames with bracings etc.

Used in frames upto 5 storeys

(b) Semi-rigid  – model actual behaviour but make analysis

difficult (linear springs or Adv.Analysis). However lead

to economy in member designs.

(c) Rigid  – transfer significant end-moments undergoing

negligible deformations. Used in sway frames for

stability and contribute in resisting lateral loads and

help control sway.

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V

BEAM-TO-COLUMN CONNECTIONS

Simple beam-to-column connections a) Clip and seating angle

b) Web cleats c) Curtailed end plate

e

(a) (b) (c)

(a) Economical when automatic saw and drill lines are available

Check end bearing and stiffness of seating angleClip angle used for torsional stability

(b) If depth of cleats < 0.6d design bolts for shear only

(c) Eliminates need to drill holes in the beam. Limit depth and thickness

t <  /2 (Gr.8.8) and  /3 (Gr.4.6)

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BEAM-TO-COLUMN CONNECTIONS

Rigid beam-to-column connections a) Short end plate

b) Extended end plate c) Haunched

columnweb

stiffeners

diagonal

stiffener

web

plate

(a) (b) (c)

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BEAM-TO-BEAM AND

TRUSS CONNECTIONS

(a) Apex Connection

Truss Connections

(b) Support connection

Gusset

Plate

Splice

plate

Gusset

Plate

e

support

Beam-beam connections similar to beam-column connectionsMoment continuity may be obtained between secondary beams

Check for torsion in primary beams

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FATIGUE BEHAVIOUR

Fatigue leads to initiation and growth of cracks under fluctuating stresses

even below the yield stress of the material (High-cycle fatigue)

Fatigue cracks grow from points of stress concentrations

To avoid stress concentrations in bolted connections

• Use gusset plates of proper shape

• Use match drilling

• Use HSFG bolts

Fatigue also depends on range of stress fluctuations and reversal of stress

• pre-tensioned HSFG avoid reversals but lead to fretting corrosion

Fatigue design carried out by means of an S-N curve on a log-log scale

Components are designed below the endurance limit

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Thank You