Civil Engineering Reference
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P T
P L
P BC
c
B
C
A
s p
x T
L /2
L /2
w e
d
a
M BCe
FIGURE 5.23 Equivalent uniform load for bending moment for concentrated moving loads
applied at transverse members to the superstructure.
Example 5.9
Determine the maximum shear forces and bending moment per rail for
Cooper's E80 load at the end, the 1/4 point and the center of a 60 ft long
DPG span.
Using Figures 5.19 and 5.22 the maximum shear forces and bending
moment per rail are given in Table E5.1.
TABLE E5.1
Maximum
Equivalent
Loaded
Maximum
Bending
Location
Uniform
Length,
Shear Force
Moment
and Force
Load (k/ft)
l (ft)
(kips)
(ft-kips)
End shear
6530 (Figure 5.19)
60
wl/ 2 = 196
wl 2 / [ ( 2 )( 60 ) ]= 120
1/4 point shear
7125 (Figure 5.19)
45
wl 2 / [ ( 2 )( 60 ) ]= 55.7
Center shear
7425 (Figure 5.19)
30
3 wl 2 / 32
1/4 point moment
5955 (Figure 5.22)
60
=
2010
wl 2 / 8
Center moment
5775 (Figure 5.22)
60
=
2599
 
 
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