Civil Engineering Reference
In-Depth Information
Equating the maximum shear force,
V
BC
, from Equation 5.4 with the shear force,
V
BCe
in panel BC, from an equivalent uniform load,
w
ev
, yields
P
T
P
L
+
P
BC
c
s
p
.
x
T
L
−
2
L
(L
−
a
+
d)
2
w
ev
=
(5.25)
Equation 5.25 can be plotted for different
P
T
and
P
L
(which are dependent on
load configuration and span length) and
P
BC
(which is dependent on load config-
uration and panel length) in different panels on the span (described by distances
a
and
d
). For a specific design load such as the Cooper's configuration, the value of
P
T
(x
T
/L)
P
BC
(c/s
p
)
can be calculated for various values of
x
T
and the
equivalent uniform load for shear can be determined in various panels along the span.
The equivalent uniform load for maximum shear in the panels will have the general
form shown in
Figure 5.19.
−
P
n
+
5.2.1.3.3 Maximum Bending Moment in Simply Supported Spans [with
Concentrated Moving Loads Applied Directly to the
Superstructure (Figure 5.21)]
Equating maximum bending moment,
M
C
, from Equation 5.7 with the bending
moment,
M
Ce
=[
w
e
a(L
−
a)
]
/
2, at location C from an equivalent uniform load,
P
T
P
L
P
n
C
A
B
b
n
x
T
a
L
/2
L
/2
w
e
M
Ce
FIGURE 5.21
Equivalent uniform load for bending moment for concentrated moving loads
applied directly to the superstructure.
