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PROBLEM (10.133) The 12-ft overhanging beam AC seen in Fig. P10.125 supports a moment
of M0 = -500 kip⋅in. Compute the maximum value of EI max
v between supports A and B.
SOLUTION
See solution of Prob.10.125:
0
3
A
M
a
EI
θ
=− (1)
02
0
/1
22
DA D A M
Ax
aEI
θθθ
=−== (2)
Equations (1) and (2) give
2
3
x
a=
Then,
32
00
/24
()
36 93
AD
M
xMa
x
tA aEI EI
==−=−
Hence,
2
0
max / 4
93
AD Ma
vv EI
== ↓
and
32
max 4[500 10 (4 12) ]
93
EIv =×× 63
295.6 10 .lb in
=
×⋅
t
A
/D
x
B
M/EI
A
C
m
a
v
2a
x
M
0/EI
B
M
0x/2aEI
y
A
x
A
1
/
1
100%