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KKKH3353 - Structural Steel Design - Tension Members

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Faculty of Engineering and Built Environment

Department of Civil Engineering

KKKH3353
STRUCTURAL STEEL DESIGN
(Tension Member)
Dr. Ahmed Wadood Al Zand
PM Dr. Shahrizan Bin Baharom
Example of Tension Members
Plate and Angle in Tension with Bolts
Typical Truss and Frame Connections
Rupture of Net Section
Block Shear Tear-Out
Block Shear Tear-Out
Design of Tension Members

 Axially loaded tension member (concentrically tensile force)


 Member without holes
 Member with holes

 Tension member with moments; Eccentrically tensile force-


connected unsymmetrically or member itself unsymmetrical such
as angles, tees and channels.
 Direct tensile failure and/or block tearing
Axially Loaded
Tension Members
Eurocode 3 states that tensile resistance
should be verified as follows:

Nt,Ed ≤ Nt,Rd Tension check

Nt,Ed is the tensile design effect


Nt,Rd is the design tensile resistance
Design Tensile Resistance, Nt,Rd

Design tensile resistance Nt,Rd is limited either by:

• Yielding of the gross cross-section (Npl,Rd)


Or
•Ultimate fracture failure (Nu,Rd) of the net cross-section (at holes for fasteners)

whichever is the lesser.


Yielding of Gross Cross-Section, Npl,Rd
The Eurocode 3 design expression for yielding of the gross cross-section
(plastic resistance) given as:

Npl,Rd= A.fy / γM0

This criterion is applied to prevent excessive deformation of the member.

A is the gross cross-sectional area


fy is the yield tensile strength of plate/member
γM0 is the partial factor which equal to 1.0
Ultimate resistance of net section, Nu,Rd
And for the ultimate resistance of the net cross-section (defined in clause
6.2.2.2), the Eurocode 3 design expression is:

Nu,Rd= 0.9.Anet.fu / γM2

Anet is the net cross-sectional area to account (excluding the bolts’ holes)
fu is the ultimate tensile strength of plate/member
γM2 is the partial factor which equal to 1.25
Non-Staggered fasteners
For a non-staggered arrangement of fasteners, the total area to be deducted
should be taken as the sum of the sectional areas of the holes on any line (A-A)
perpendicular to the member axis that passes through the centreline of the holes.

p2
b

Anet = A – n.d0.t
p1 p1
A is the gross cross-sectional area
Anet is the net cross-sectional area to account (excluding the bolt holes)
n is the number of bolt holes (bolts in the line of cutting)
d0 is the diameter of bolt holes
t is the material thickness
Staggered fasteners
For a staggered arrangement of fasteners, the total area to be deducted should
be taken as the greater of the maximum sum of the sectional areas of the holes on
any line (A-A & B-B) perpendicular to the member axis

Flat member (plate)


Anet = t.(b – n.do+ Ʃ(0.25.p12/p2)) p2
b
Any member (Angle, C-section…etc)
Anet = A -t.(n.do+ Ʃ(0.25.p12/p2))
p1 p1
p1 is the staggered pitch of two consecutive holes
p2 is the spacing of the centres of the same two holes measured perpendicular
to the member axis
Simple Tension Member

Angle connected by a single row of bolts


Single angles in tension connected by a single row of bolts through one leg,
may be treated as concentrically loaded, but with an effective net section, to
give the design ultimate tensile resistance as below.

β2 and β3 are reduction factors dependent upon the bolt spacing (pitch) p1.
Anet is the net area of the angle.
Angles connected by a single row of bolts

0.7

0.4

p1 ≤2.5do p1≥5.0do
2.5do>p1 <5.0do
Example 1
A flat bar 200 mm wide x 25 mm thick is to be used as a tie (tension member).
Erection conditions require that the bar be constructed together with a lap slice
using six M20 bolts. Calculate the tensile strength of the bar assuming grade
S275 steel (fy = 275 Mpa, fu= 410 MPa)
.
Solution
Npl,Rd= A.fy / γM0 =(25x200)x275/1.0 = 1375000 N = 1375 kN

n =2, d= 20 mm, d0 = 22mm, t= 25 mm

Anet = A – n.d0.t = 25x200 – 2x22x25 = 3900 mm2

Nu,Rd= 0.9.Anet.fu / γM2 = 0.9x3900x410/1.25 = 1151280 N = 1151.28 kN

Then Nt,Rd is the smallest value of Nu,Rd & Npl,Rd =1151.28 kN

The applied factored tension force T (Nt,Ed ) should be less or equal to Nt,Rd
Example 2
Bolted connection Try a 150×75×10 unequal angle, bolted (with a line of four 22
mm HSFG bolts, at 125 mm centres) through the longer leg. Calculate the tensile
strength of the bar assuming grade S275 steel (fy = 275 Mpa, fu= 410 MPa)
Solution
A =2170 mm2, d= 22 mm, d0 = 24mm, p1= 125 mm, t= 10 mm

Npl,Rd= A.fy / γM0 =(2170)x275/1.0 = 596750 N = 596.7 kN

5xdo =5x24 = 120 mm


p1= 125 mm > 5xdo , then β3=0.7 (table)

Anet = A – n.d0.t = 2170 – 1x24x10 = 1930 mm2

Nu,Rd= β3.Anet.fu / γM2 = 0.7x1930x410/1.25 = 443128 N = 443.1 kN

Then Nt,Rd is the smallest value of Nu,Rd & Npl,Rd =443.1 kN

The applied factored tension force T (Nt,Ed ) should be less or equal to Nt,Rd (443.1 kN)

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