Civil Engineering Reference
In-Depth Information
The gross section shear strength of the girder web plate is
V
all
=
(
0.625
)(
85
)(
0.35
)(
50
)
=
929.8 kips.
The gross section shear strength of the web splice is
2
((
81
)(
0.50
)(
0.35
)(
50
))
1.5
V
sw
=
=
945 kips
≥
929.8 kips OK
1.5
(
929.8
)
2
(
81
)(
0.5
)
=
f
vs
=
17.2
≤
17.5 ksi OK
The net section moment of inertia of the web plate is
0.625
(
85
)
3
12
3
2
)
−
(
1.00
)(
0.625
)(
2
)(
39
2
33
2
27
2
21
2
15
2
9
2
=
+
+
+
+
+
+
26,867 in.
4
=
31,986
−
5119
=
The net section flexural strength of the girder web is
0.55
(
50
)
(
31,986
5,119
)
42.5
(
12
)
−
M
sw
=
=
1449 ft-kips
The net section moment of inertia of the web splice is
2
0.5
(
81
)
3
12
3
2
)
−
(
1.00
)(
0.5
)(
2
)(
39
2
33
2
27
2
21
2
15
2
9
2
=
+
+
+
+
+
+
36,097 in.
4
=
The web splice plates have a net moment of inertia greater than that of the
web plate.
The maximum direct shear stress,
t
, on the bolts is
V
n
s
n
b
A
b
=
450
2
(
42
)(
0.60
)
=
τ =
8.9 ksi (all bolts with the same
A
b
)
and the maximum torsional shear stress in the
x
- and
y
-directions is
(Ve
M
sw
)y
T
n
s
A
b
J
s
+
τ
T
x
=
(Ve
M
sw
)x
T
n
s
A
b
J
s
+
τ
T
y
=
Ve
=
450
(
0.5
)
=
225.0 ft-kips
M
sw
=
1449 ft-kips
