sm12 71

________________________________________________________________________
PROBLEM (12.71) Determine the midspan deflection of a cantilever beam loaded as shown in Fig.
P12.71. Employ the unit-load method.
SOLUTION
Segment BC: 20m=
3
00
1
236
wx wx
x
Mx
LL
=− =− Segment AC: 1
mx=
L
A
wo
B
0
x
w
L
x
L/
2
A
B
L/
2
C
1 N
Therefore,
0
1L
C
M
m
vd
EI EI
=∫x
33
200
0/2
11
()(0) ()()
66
LL
L
wx wx
x
dx
EI L EI L
=− + −
∫∫
4
0
31
960 wL EI
=↓
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