Civil Engineering Reference
In-Depth Information
P
n
C
A
B
s
p
b
a
L
/2
L
/2
n
R
/
n
(
s
p
(
n
L
+1)-
a
)
b
n
L
s
p
(
a
+
b
)
L
L
FIGURE 5.26
Determination of equivalent uniform loads for simple span shear and bending
at location C.
The area under the bending moment influence line in Figure 5.26 is
m
1
s
p
(n
L
+
1
)
+
m
2
(s
p
+
b)
,
2
where
s
p
)
a
,
+
b
m
1
=
(L
−
b
−
(5.34a)
L
a)
b
L
.
m
2
=
(L
−
b
−
(5.34b)
Therefore, the equivalent uniform load for Cooper's live load moment is
2
M
LL
w
em
=
(5.35)
m
1
s
p
(n
L
+
1
)
+
m
2
(s
p
+
b)
and substitution of Equations 5.34a and 5.34b into Equation 5.35 yields
2
LM
LL
w
em
=
.
(5.36)
(a
+
b)
[
(L
−
b
−
s
p
)(L
−
b)
]+
(L
−
b
−
a)
[
b(s
p
+
b)
]
