sm10 57

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PROBLEM (10.57) A cantilever AB carries a uniform load of intensity w over the half span CB, as
shown in Fig. P10.57. Find the deflection at the free end B.
SOLUTION
Use Table B.14:
434
(2 )
() () ()
868
BI BII CII
w a wa wa
vv
EI EI EI
θ =− =− =−
and
() () ()()
BII CII CII
vv a
θ
=+
43 4
7
()
86 24
wa wa wa
a
EI EI EI
=− =
Thus,
() ()
BBIBII
vv v=+
44 4
2741
24 24
wa wa wa
EI EI EI
=− + = ↓
a
a
A
C
B
Loading II
a
=
w
2a+
A
C
wa
Loading I
A
B
w