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PROBLEM (10.64) The beam AC in Fig. P10.64 is made of a W 150 x 24 rolled-steel shape (see
Table B.8) and M = 10 kN m, P = 4 kN, L = 3 m, and E = 210 GPa. Calculate the deflection at C.
SOLUTION
Table B.8: 64
13.4 10
I
mm=×
Use Table B.14 (cases 7 and 9):
() ()
CCPCM
vv v=+
32
2
0(2)
()
48 6 4
ML
PL L L
EI EIL
=− − −
2
0
(3)
48
LPL M
EI
=−+
Thus,
23
96
(3) ( 4 3 3 10)10
48(210 10 )(13.4 10 )
C
v−
−× + ×
=××
1.2 mm
=
↑
A
P
B
Actual Loading
L/
2
L/
2
C
M0
L/
2
A
P
M
0
E
quivalent loadin
g
C
B
1
/
1
100%