Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

v
60 kN/m
125 kN
v
80 lb/in.
140 lb/in.
A B
C D
1.5 m
3.5 m
2.5 m
x
A B C
100 in. 50 in.
x
FIGURE p11.32
FIGURE p11.35
p11.33 A propped cantilever beam is loaded as shown in Figure
P11.33. Assume that EI = 24 × 10 6 kip · in. 2 . Determine
(a) the reactions at B and C for the beam.
(b) the beam deflection at A.
v
40 kips
8 kips/ft
p11.36 The solid 1.00 in. diameter steel [E = 29,000 ksi] shaft
shown in Figure P11.36 supports three belt pulleys. Assume that
the bearing at A can be idealized as a pin support and that the bearings
at C and E can be idealized as roller supports. For the loading
shown, determine
(a) the reaction forces at bearings A, C, and E.
(b) the magnitude of the maximum bending stress in the shaft.
A B C D E F
x
A
B
12 ft 24 ft
C
15 in. 15 in. 15 in. 15 in. 10 in.
FIGURE p11.33
200 lb
280 lb
120 lb
FIGURE p11.36
p11.34 The beam shown in Figure P11.34 consists of a W610 × 82
structural steel wide-flange shape [E = 200 GPa; I = 562 × 10 6 mm 4 ].
For the loading shown, determine
(a) the reaction force at C.
(b) the beam deflection at A.
v
105 kN/m
p11.37 The solid 1.00 in. diameter steel [E = 29,000 ksi] shaft
shown in Figure P11.37 supports two belt pulleys. Assume that the
bearing at E can be idealized as a pin support and that the bearings
at B and C can be idealized as roller supports. For the loading
shown, determine
(a) the reaction forces at bearings B, C, and E.
(b) the magnitude of the maximum bending stress in the shaft.
A B
C D
3 m
FIGURE p11.34
7 m
7 m
x
A B C D E
7 in. 15 in. 15 in.
15 in.
p11.35 The beam shown in Figure P11.35 consists of a W8 × 15
structural steel wide-flange shape [E = 29,000 ksi; I = 48 in. 4 ]. For
the loading shown, determine
(a) the reactions at A and B.
(b) the magnitude of the maximum bending stress in the beam.
(Reminder: The roller symbol implies that both upward and downward
displacements are restrained.)
90 lb
FIGURE p11.37
240 lb
p11.38 The beam shown in Figure P11.38 consists of a
W360 × 101 structural steel wide-flange shape [E = 200 GPa;
I = 301 × 10 6 mm 4 ]. For the loading shown, determine
(a) the reactions at A and B.
(b) the magnitude of the maximum bending stress in the beam.
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