Tension Member Design
Slendness: k. L / r <= 300
Gross area
The gross area Ag of a member at any point is the sum of
the products of the thickness and the gross width of each element measured
normal to the axis of the member.
Net Area
Net area An of a member is the sum of the products of
the thickness and the net width of each element.
For a part in any diagonal or zigzag line, the
additional quantity is: s2.t / (4g)
s = longitudinal center-to-center spacing (pitch) of any two
consecutive holes.
g = transverse center-to-center spacing (gage) between fastner gage
lines.
Effective Net Area, Reduction-Shear Lag Coefficient (U)
Bolts:
Ae = An . U
U - reduction coefficient = 1 - x/L
x - connection eccentricity
L - length of the connection in the direction of loading
Welds:
(a) When the tension load is transmitted only by longitudinal welds
to other than a plate member or by longitudinal welds in combination with
transverse welds:
Ae = Ag . U
U - reduction coefficient = 1 - x/L
Ag - gross area of member
(b) When the tension load is transmitted only by transverse welds:
Ae = A . U
U = 1.0
A - area of directly connected elements
(c) When the tension load is transmitted to a plate only by
longitudinal welds along both edges at the end of the plate:
Ae = Ag . U
Ag - gross area of member
for L >= 2w ...........................U= 1.0
for 2w > L >= 1.5w ..................U= 0.87
for 1.5w > L >= w ..................U= 0.75
L = length of weld
w = plate width (distance between welds)
Design Strength for Tension:
Tensile Yielding:
Pn = Fy.Ag
ft = 0.9 (LRFD)
Ot = 1.67 (ASD)
Tensile Rupture:
Pn = Fu. Ae
ft = 0.75 (LRFD)
Ot = 2.0 (ASD)
Design Strength for Shear:
Shear Yielding:
Rn = 0.6 Fy. Ag
f = 1.0 (LRFD)
O = 1.5 (ASD)
Shear Rupture:
Rn = 0.6 Fu. Anv
f = 0.75 (LRFD)
O = 2.0 (ASD)
Block Shear Rupture Strength:
Rn = 0.6 Fu.Anv + Ubs.
Fu.Ant <= 0.6 Fy .Agv + Ubs.
Fu.Ant
f = 0.75 (LRFD)
O = 2.0 (ASD)
Ant = net area subject to tension
Anv = net area subject to shear
Agv = gross area subject to shear
Ubs = 1.0 when tension stress is uniform, Ubs
= 0.5 when tension stress is non-uniform
Reference: AISC 16
th Edition Ch. D, Ch. J4