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

p15.34 Forces P x = 580 lb and P y = 220 lb act on the teeth of the
gear shown in Figure P15.34. The gear has a radius R = 6 in., and
the solid gear shaft has a diameter of 2.0 in. Using a = 5 in., determine
the normal and shear stresses at (a) point H and (b) point K.
Show the orientation of these stresses on an appropriate sketch.
p15.37 Solid shaft AB of the pulley assembly shown in Figure
P15.37/38 has a diameter of 35 mm. The length dimensions of the
assembly are a = 80 mm, b = 150 mm, and c = 115 mm, and the
diameter of the pulley is 130 mm. The pulley belt tension is P = 950 N.
Determine the principal stresses and the maximum in-plane shear
stress at point H on top of the shaft.
a
y
y
P x
P y
H
R
K
x
z
A
K
H
B
P
z
FIGURE p15.34
p15.35 A 7 in. diameter pulley is attached to a solid 1.0 in.
diameter steel shaft. The tension forces in the pulley belt are T 2 =
160 lb and T 1 = 30 lb, each acting in the x′–y′ plane, as shown in
Figure P15.35. Tension T 2 is oriented at β = 30° with respect to the
y′ axis. Using a = 7 in., determine the normal and shear stresses at
(a) point H and (b) point K. Show the orientation of these stresses
on an appropriate sketch.
z
y'
β
T 2
x'
FIGURE p15.35
H
K
a
T 1
y
x
a
C
b
FIGURE p15.37/38
P
p15.38 Solid shaft AB of the pulley assembly shown in Figure
P15.37/38 has a diameter of 1.75 in. The length dimensions of the
assembly are a = 3.0 in., b = 5.5 in., and c = 4.5 in., and the diameter
of the pulley is 5 in. The pulley belt tension is P = 250 lb.
Determine the absolute maximum shear stress at point K, which is
located on the side of the shaft.
p15.39 The tube shown in Figure P15.39/40 has an outside
diameter of 3.50 in., a wall thickness of 0.12 in., and length dimensions
of a = 15 in. and b = 7 in. The load magnitudes are P x = 850 lb,
P y = 375 lb, and P z = 550 lb. Determine the principal stresses on the
side of the tube at point K, and show these results on a properly
oriented stress element.
D
x'
c
y
x
p15.36 A force P z = 780 N is exerted on control arm BC, which
is securely attached to the solid 30 mm diameter shaft shown in
Figure P15.36. The dimensions of the assembly are a = 150 mm
and b = 120 mm. Determine the absolute maximum shear stress in
the shaft at (a) point H and (b) point K.
z
b
P z
K
H
x
y
a
P x
H
z
K
A
b
P z
FIGURE p15.36
B
C
x
FIGURE p15.39/40
P y
a
p15.40 The tube shown in Figure P15.39/40 has an outside
diameter of 3.50 in., a wall thickness of 0.12 in., and length dimensions
of a = 15 in. and b = 7 in. The load magnitudes are P x = 850 lb,
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