sm10 89

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________________________________________________________________________
PROBLEM (10.89) A cantilever beam AC with an overhang BC supports a uniform load of
intensity w, as shown in Fig. P10.89. Determine the reactions at supports A and B.
SOLUTION
Use Table B.14 (cases 2 and 1):
222
44
() [ 4() 6( )]
24 3 3
CW wL
vLLL
EI
=− − + 4
19
72 wL EI
=−
3
() 3B
BR
R
L
vEI =−
Since
() () 0
BW BR
vv+=
We have
19
24
B
R
wL=↑
Statics:
13
0: 24
yA
FRwL==↑
∑
2
7
0: 72
AA
M
MwL==
∑
L
A
w
=
B
Actual
Loading
+
L/
3
w
R
B
A
R
A
A
Equivalent Loadings
RB
MA
L
B
L
B