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

v
90 kN/m
30 kN/m
(1)
A
B
C
x
40 kN
3 m
5.5 m 2.5 m
FIGURE p11.38
A B C
x
1.4 m 3.6 m
p11.39–p11.40 A W530 × 92 structural steel wide-flange
shape [E = 200 GPa; I = 554 × 10 6 mm 4 ] is loaded and supported as
shown in Figures P11.39 and P11.40. Determine
(a) the force and moment reactions at supports A and C.
(b) the maximum bending stress in the beam.
(c) the deflection of the beam at B.
v
150 kN
FIGURE p11.41
p11.42 A W18 × 55 structural steel [E = 29,000 ksi] wideflange
shape is loaded and supported as shown in Figure P11.42.
The beam is supported at C by a 3/4 in. diameter aluminum [E =
10,000 ksi] rod that has no load before the distributed load is applied
to the beam. A distributed load of 4 kips/ft is applied to the
beam. Determine
(a) the force carried by the aluminum rod.
(b) the maximum bending stress in the steel beam.
(c) the deflection of the beam at C.
A
B
6 m 4 m
C
x
v
(1)
14 ft
FIGURE p11.39
4 kips/ft
x
A
B
C
v
11 ft
5 ft
80 kN/m
FIGURE p11.42
A B C
FIGURE p11.40
4.5 m 4.5 m
x
p11.43 A W250 × 32.7 structural steel [E = 200 GPa] wideflange
shape is loaded and supported as shown in Figure P11.43.
A uniformly distributed load of 16 kN/m is applied to the beam,
causing the roller support at B to settle downward (i.e., be displaced
downward) by 15 mm. Determine
(a) the reactions at supports A, B, and C.
(b) the maximum bending stress in the beam.
p11.41 A W360 × 72 structural steel [E = 200 GPa] wide-flange
shape is loaded and supported as shown in Figure P11.41. The
beam is supported at B by a 20 mm diameter solid aluminum [E =
70 GPa] rod. A concentrated load of 40 kN is applied to the tip of
the cantilever. Determine
(a) the force produced in the aluminum rod.
(b) the maximum bending stress in the beam.
(c) the deflection of the beam at B.
476
v
16 kN/m
A B 15 mm
C
4 m
6 m
FIGURE p11.43
x