Civil Engineering Reference
In-Depth Information
J s = n b (x T +
y T ) 2
[ ( 39 2
10 2 ) + ( 33 2
10 2 ) + ( 27 2
10 2 ) + ( 21 2
10 2 )
=
4
+
+
+
+
+ ( 15 2
10 2 ) + ( 9 2
10 2 ) + ( 3 2
10 2 ) + ( 39 2
6 2 ) + ( 33 2
6 2 )
+
+
+
+
+
+ ( 27 2
6 2 ) + ( 21 2
6 2 ) + ( 15 2
6 2 ) + ( 9 2
6 2 ) + ( 3 2
6 2 ) + ( 39 2
2 2 )
+
+
+
+
+
+
+ ( 33 2
2 2 ) + ( 27 2
2 2 ) + ( 21 2
2 2 ) + ( 15 2
2 2 ) + ( 9 2
2 2 ) + ( 3 2
2 2 ) ]
+
+
+
+
+
+
53,060 bolt-in. 2
=
4 ( 13,265 ) =
1674 ( 12 )( 39 )
2 ( 0.60 )( 53,060 ) =
τ T x =
12.3 ksi,
1674 ( 12 )( 10 )
2 ( 0.60 )( 53,060 ) =
τ T y =
3.2 ksi.
The resultant shear stress on the most highly stressed bolt is
( 8.9
( τ + τ T y ) 2
2
3.2 ) 2
12.3 2
f
=
+ τ
T x =
+
+
=
17.2 ksi,
which is considered acceptable at 1.3% overstress OK
Check bearing stress
17.2 ( 0.60 )
1 ( 0.5 )( 1.00 ) =
σ bc =
20.6
f B ksi,
l e F u
2 d b =
( 1.5 )( 65 )
2 ( 7 / 8 )
f B =
=
55.7 ksi,
assuming a minimum loaded edge distance of 1.5 in., OK
or
f B =
1.2 F u =
1.2 ( 65 ) =
78 ksi.
The web splice flexural stress, based on the girder web net bending
strength, is
1449 ( 12 )( 40.5 )
36,097
=
=
19.5 ksi.
The interaction between flexure and shear in the web splice plates is
assessed, based on Equation 7.63 in Chapter 7, as
0.75
F y =
0.75
50
1.05 f v
F y
1.05 17.2
50
f b =
=
0.39 ( 50 ) =
19.4 ksi,
which is considered acceptable at less than 0.5% overstress. OK
 
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