sm10 106

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PROBLEM (10.106) A beam ABC with simple supports at A and B carries a uniform load of
intensity w over the overhang BC as shown in Fig. P10.106 and discussed in Example 10.19. The beam is
constructed of a W 10 x 33 shape (see Table B.8). Calculate:
(a) The deflection at point C.
(b) The slope at point A.
(c) The maximum deflection between supports.
Given: w = 6 kips/ft, L = 6 ft, E = 30 x 106 psi
SOLUTION
Table B.8: 4
170 .
I
in=
(a) Use Eq.(10.53): 434
6
11 11(6 12)(10 )(6 12)
384 384(30 10 )(170)
CwL
vEI
×
==×0.075 .in
=
↓
(b) Apply Eq.(10.54):
333
6
(6 12)(10 )(6 12)
48 48(30 10 )(170)
AwL
EI
θ
×
== ×
3
0.762 10 rad
−
=×
(c) From Eq.(10.55): 434
6
(6 12)(10 )(6 12)
72 3 72 3(30 10 )(170)
DwL
vEI
×
==×0.021 .in
=
↑