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

a load P is applied at an eccentricity e = 100 mm from the x centroidal
axis. The yield strength of the bar is 310 MPa. If a factor of safety
of 2.3 is required, what is the maximum load P that can be applied
to the bar?
P
y
p8.52 A tubular steel column CD supports a horizontal cantilever
arm ABC, as shown in Figure P8.52. Column CD has an outside
diameter of 8.625 in. and a wall thickness of 0.365 in. The loads are
P A = 400 lb and P B = 600 lb. The dimensions of the structure are
a = 6 ft, b = 8 ft, and c = 14 ft. Determine the maximum compressive
stress at the base of column CD.
e
z
z
y
x
d
C
b
B
PB
a
A
PA
b
Cross Section
c
FIGURE p8.49
p8.50 A horizontal force P = 1,200 lb is applied to the rectangular
bar shown in Figure P8.50. Calculate the normal stress at points
H and K. Use the following values: d = 1.50 in., b = 2.50 in., and
e = 2.00 in.
b
D
FIGURE p8.52
d
H
K
e
x
p8.53 A load P = 32 kN is applied parallel to the longitudinal
axis of a rectangular structural tube as shown in Figure P8.53a. The
cross-sectional dimensions of the structural tube (Figure P8.53b) are
b = 100 mm, d = 150 mm, and t = 5 mm. Assume that a = 500 mm
and c = 40 mm. Determine the normal stresses produced at points
H and K.
P
FIGURE p8.50
p8.51 The component shown in Figure P8.51 has a width b =
35 mm and a depth d = 65 mm. At the free end of the bar, a load P
is applied at an eccentricity e = 50 mm from the y centroidal axis.
The yield strength of the bar is 340 MPa. If a factor of safety of
2.3 is required, what is the maximum load P that can be applied to
the bar?
P
e
y
y
H
K
FIGURE p8.53a
a
b
x
P
d
b
H
K
b
H K
z
Cross section
x
t
y
z
d
FIGURE p8.51
x
t
Cross section
FIGURE p8.53b
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