Civil Engineering Reference
In-Depth Information
w
A
B
L
wx
x/2
M= -
wx
2
2
V
x
Figure 4.16.
Example 4.8 Virtual work.
A virtual force is applied at the point and in the direction that the deflec-
tion is desired. This is shown in Figure 4.17 along with a free-body dia-
gram of the right-hand side of the beam. In this case, the internal moment
is represented as
m
.
w
A
B
L
1 kN
A
B
x
L
1 kN
m= -1x
V
x
Figure 4.17.
Example 4.8 Virtual work.
From static equilibrium, we can determine the internal moment at any
point
x
measured from the right end of the beam.
mx
=−1
The values of
M
and
m
can be substituted into Equation 4.7 to determine
the deflection at point
B
at the free end of the cantilever.
