Page 79 - Handbook of Structural Steel Connection Design and Details

Design of Connections for Axial, Moment, and Shear Forces

64 Chapter Two

and from Table 7-2
r 5 66.6 kips/bolt
t
(2) Bolt shear
R 26.2 8 4 838 kips > 638 kips, ok
v
(3) Bolt tension
Since only the two inside columns of bolts are effective in car-
rying the tension,
R 66.6 8 2 1070 kips > 218 kips, ok
t
(4) Bolt shear/tension interaction
Because the slip-critical strength criterion is used, no bearing
checks are required for these bolts. The interaction equation
for slip-critical bolts is given in Specification Section J3.9 as,
T u
r 5 r a1 2 b
v
v
D T
u b
where r v reduced shear strength
T u tension load per bolt
D u 1.13
T b specified bolt pretension, 64 kips for 1-in A490 bolts
therefore,
218/16 638
r v 5 26.2a1 2 b 5 21.3 kips/bolt .
1.13 3 64 32
20.0 kips/bolt, ok
(5) End plate thickness required and prying action
The prying action formulation of the Manual, pages 9-10
through 9-13, requires that the bolt tension strength r be
t
determined as a function of the shear load per bolt. This
requires that the interaction equation of Specification Section
J3.9 be inverted, which can be shown to give

r 5 D u T b a1 2 V u b
t
r v
where r v reduced tensile strength

V u shear load per bolt
D u and T b are as previously defined.
Therefore
20.0
r 5 1.13 3 64 a1 2 b 5 17.1 kips/bolt .
t
26.2
13.6 kips/bolt, ok

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