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

p10.53 The simply supported beam shown in Figure P10.53/54
consists of a W10 × 30 structural steel wide-flange shape [E =
29,000 ksi; I = 170 in. 4 ]. If w = 5 kips/ft, determine
(a) the beam deflection at point A.
(b) the beam deflection at point C.
85 kip.ft
v
w
25 kips
A B C
D
E
x
p10.57 The simply supported beam shown in Figure P10.56/57
consists of a W530 × 66 structural steel wide-flange shape [E =
200 GPa; I = 351 × 10 6 mm 4 ]. If w = 115 kN/m, determine the beam
deflection at point C.
p10.58 A 25 ft long soldier beam is used as a key component of
an earth retention system at an excavation site. The beam is subjected
to a soil loading that is linearly distributed from 520 lb/ft to
260 lb/ft as shown in Figure P10.58. The beam can be idealized as
a cantilever with a fixed support at A. Added support is supplied by
a tieback anchor at B, that exerts a force of 5,000 lb on the beam.
Determine the horizontal deflection of the beam at point C. Assume
that EI = 5 × 10 8 lb · in. 2 .
3 ft 5 ft 5 ft 5 ft
FIGURE p10.53/54
260 lb/ft
C
p10.54 The simply supported beam shown in Figure P10.53/54
consists of a W10 × 30 structural steel wide-flange shape [E =
29,000 ksi; I = 170 in. 4 ]. If w = 9 kips/ft, determine
(a) the beam deflection at point A.
(b) the beam deflection at point D.
p10.55 The simply supported beam shown in Figure P10.55
consists of a W21 × 44 structural steel wide-flange shape [E =
29,000 ksi; I = 843 in. 4 ]. For the loading shown, determine
(a) the beam deflection at point A.
(b) the beam deflection at point C.
42 kips
v
4 kips/ft 4 kips/ft
A B C
D
6 ft 6 ft 6 ft 6 ft 6 ft 6 ft
FIGURE p10.55
p10.56 The simply supported beam shown in Figure P10.56/57
consists of a W530 × 66 structural steel wide-flange shape [E =
200 GPa; I = 351 × 10 6 mm 4 ]. If w = 85 kN/m, determine the beam
deflection at point B.
300
kN.m
v
A
w
FIGURE p10.56/57
B
140 kN
4 m 2 m 3 m
C
D
x
x
175
kN.m
18 ft
5,000 lb
Tieback
anchor
520 lb/ft A
FIGURE p10.58
Soldier
beam
25 ft
p10.59 A 25 ft long soldier beam is used as a key component of
an earth retention system at an excavation site. The beam is subjected
to a uniformly distributed soil loading of 260 lb/ft as shown
in Figure P10.59. The beam can be idealized as a cantilever with a
fixed support at A. Added support is supplied by a tieback anchor at
B, that exerts a force of 4,000 lb on the beam. Determine the horizontal
deflection of the beam at point C. Assume that EI = 5 × 10 8
lb · in. 2 .
4,000 lb
Tieback
anchor
18 ft
260 lb/ft
FIGURE p10.59
C
B
B
Soldier
beam
A
25 ft
444