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

v
4 kips/ft
45 kips
v
v
180 kN.m
70 kN
80 kN/m
A B C
D
8 ft 11 ft 11 ft
FIGURE p10.44
x
A
B C D
1.5 m 1.5 m 1.5 m 1.5 m
FIGURE p10.47/48
E
x
p10.45 The solid 30 mm diameter steel [E = 200 GPa] shaft
shown in Figure P10.45 supports two belt pulleys. Assume that the
bearing at B can be idealized as a roller support and that the bearing
at D can be idealized as a pin support. For the loading shown,
determine
(a) the shaft deflection at pulley A.
(b) the shaft deflection at pulley C.
p10.48 The simply supported beam shown in Figure P10.47/48
consists of a W410 × 60 structural steel wide-flange shape [E =
200 GPa; I = 216 × 10 6 mm 4 ]. For the loading shown, determine the
beam deflection at point C.
p10.49 The simply supported beam shown in Figure P10.49/50
consists of a W530 × 66 structural steel wide-flange shape [E =
200 GPa; I = 351 × 10 6 mm 4 ]. If w = 80 kN/m, determine
(a) the beam deflection at point A.
(b) the beam deflection at point C.
A B C D
35 kN
v
w
500 mm
700 N
FIGURE p10.45
p10.46 The cantilever beam shown in Figure P10.46 consists
of a W530 × 92 structural steel wide-flange shape [E = 200 GPa;
I = 552 × 10 6 mm 4 ]. For the loading shown, determine
(a) the beam deflection at point A.
(b) the beam deflection at point B.
v
A
85 kN/m
900 mm 900 mm
B
1.5 m 2.5 m
FIGURE p10.46
1,000 N
p10.47 The simply supported beam shown in Figure P10.47/48
consists of a W410 × 60 structural steel wide-flange shape [E =
200 GPa; I = 216 × 10 6 mm 4 ]. For the loading shown, determine the
beam deflection at point B.
C
x
A
B
p10.50 The simply supported beam shown in Figure P10.49/50
consists of a W530 × 66 structural steel wide-flange shape [E =
200 GPa; I = 351 × 10 6 mm 4 ]. If w = 90 kN/m, determine
(a) the beam deflection at point C.
(b) the beam deflection at point E.
C
4 m 4 m 4 m 2 m
FIGURE p10.49/50
p10.51 The cantilever beam shown in Figure P10.51/52
consists of a rectangular structural steel tube shape [E =
200 GPa; I = 95 × 10 6 mm 4 ]. For the loading shown, determine
the beam deflection at point B.
v
A
50 kN/m
B
2 m 3 m
FIGURE p10.51/52
p10.52 The cantilever beam shown in Figure P10.51/52
consists of a rectangular structural steel tube shape [E =
200 GPa; I = 95 × 10 6 mm 4 ]. For the loading shown, determine
the beam deflection at point C.
D
20 kN 50 kN
25 kN/m
E
C
x
x
443