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

p8.16 A W18 × 40 standard steel shape is used to support the
loads shown on the beam in Figure P8.16. Determine the magnitude
and location of the maximum bending stress in the beam.
4 kips/ft
15 kips
2 kips/ft
20 kips
4 kips/ft
A B
C
70 kip·ft
D
E F
6 ft 6 ft 4 ft 7 ft 8 ft
A
B
5 ft 5 ft 15 ft
FIGURE p8.16
C
p8.17 A W410 × 60 standard steel shape is used to support the
loads shown on the beam in Figure P8.17. Assume that P = 125 kN,
w = 30 kN/m, a = 3 m, and b = 2 m. Determine the magnitude and
location of the maximum bending stress in the beam.
D
x
FIGURE p8.19
p8.20 A W360 × 72 standard steel shape is used to support the
loads shown on the beam in Figure P8.20a. The shape is oriented so
that bending occurs about the weak axis, as shown in Figure P8.20b.
Consider the entire 6 m length of the beam, and determine
(a) the maximum tensile bending stress at any location along the
beam and
(b) the maximum compressive bending stress at any location
along the beam.
P
w
6 kN
15 kN/m
A
FIGURE p8.17
Pin
B C D E
a a b a
A B 45 kN·m
C
1.5 m 1.5 m 3 m
FIGURE p8.20a
p8.18 A W16 × 50 standard steel shape is used to support the
loads shown on the beam in Figure P8.18. Assume that P = 12 kips,
w = 1.0 kips/ft, a = 30 ft, and b = 10 ft. Determine the magnitude
and location of the maximum bending stress in the beam.
z
y
w
P
W360 × 72
FIGURE p8.20b
A
FIGURE p8.18
Pin
B C D E
a b b b
p8.21 A W310 × 38.7 standard steel shape is used to support the
loads shown on the beam in Figure P8.21. What is the magnitude of
the maximum bending stress at any location along the beam?
y
80 kN/m
p8.19 An HSS12 × 8 × 1/2 standard steel shape is used to support
the loads shown on the beam in Figure P8.19. The shape is
oriented so that bending occurs about the strong axis. Determine
the magnitude and location of the maximum bending stress in the
beam.
A
B
C
2 m 2 m 1.2 m
FIGURE p8.21
D
x
263