Page 130 - Handbook of Structural Steel Connection Design and Details

Design of Connections for Axial, Moment, and Shear Forces

Design of Connections for Axial, Moment, and Shear Forces 115

and solving for ε

1 1 b 2 40 Mf 1 8 Mf
e 5 b 2 a b 2 a b 5 bc1 2 1 2 d
4 2B 2 27 F y 4 B 3 M py
1 2
where M py 5 F Z 5 F y tb
y y
2
This expression for ε is valid as long as
27 F tb 2 3
y
# a
M f b 5 M py
40 4 8
When M . 3/8 M , the tension T on the bolts on the bearing side
py
f
vanishes and Fig. 2.30 applies. In this case, F T 0.75 (1.8 F ) t (2ε),
y
b 1 g
M f 5 Ta 2 εb
2
and

1 1 b 1 g 2 40 Mf 1 8 Mf 1 2
e 5 sb1 gd 2 a b 2 a b 5 b c1 2 1 2 a b d
4 2B 2 27 F y t 4 B 3 M py

where 1 g/b
This expression for ε is valid as long as

27Fytsb 1 gd 2 3
2
M # 5 M py
f
40 4 8
but T need never exceed Mf/g. The flange force in every case is F 5 2T.
fy

Figure 2.30 Splice force distri-
bution when bolts on bearing side
are ineffective.

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