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

P y = 375 lb, and P z = 550 lb. Determine the principal stresses on
the underside of the tube at point H, and show these results on a
properly oriented stress element.
p15.41 A solid steel shaft with an outside diameter of 25 mm
is supported in flexible bearings at A and D as shown in Figure
P15.41/42. Two pulleys are keyed to the shaft at B and C. Pulley B
has a diameter D B = 350 mm and belt tensions T 1 = 842 N and T 2 =
234 N. Pulley C has a diameter D C = 160 mm and belt tensions
T 3 = 1,660 N and T 4 = 330 N. The length dimensions of the shaft are
x 1 = 250 mm, x 2 = 120 mm, x 3 = 80 mm, and x 4 = 160 mm. Determine
the principal stresses and the absolute maximum shear stress
at point H on the shaft.
A
z
y
x 1
H
T 1
C
D D
B K
T 4
D B
x 3
x
x 4
T D
2
FIGURE p15.41/42
p15.42 A solid steel shaft with an outside diameter of 25 mm
is supported in flexible bearings at A and D as shown in Figure
P15.41/42. Two pulleys are keyed to the shaft at B and C. Pulley B
has a diameter D B = 350 mm and belt tensions T 1 = 842 N and T 2 =
234 N. Pulley C has a diameter D C = 160 mm and belt tensions
T 3 = 1,660 N and T 4 = 330 N. The length dimensions of the shaft are
x 1 = 250 mm, x 2 = 120 mm, x 3 = 80 mm, and x 4 = 160 mm. Determine
the principal stresses and the absolute maximum shear stress
at point K on the shaft.
p15.43 A solid steel shaft with an outside diameter of 1.5 in. is
supported in flexible bearings at A and C as shown in Figure P15.43/44.
Two pulleys are keyed to the shaft at B and D. Pulley B has a diameter
D B = 14 in. and belt tensions T 1 = 100 lb and T 2 = 220 lb. Pulley D has
A
z
y
x 1
T 4
T
H
3 D D
T 1
C
B K
D B
x 3
x x
4
T 2 D
FIGURE p15.43/44
x 2
x 2
T 3
a diameter D D = 7 in. and belt tensions T 3 = 60 lb and T 4 = 300 lb. The
length dimensions of the shaft are x 1 = 8 in., x 2 = 4 in., x 3 = 3 in., and
x 4 = 6 in. Determine the normal and shear stresses at point K on the
shaft. Show the orientation of these stresses on an appropriate sketch.
p15.44 A solid steel shaft with an outside diameter of 1.5 in. is
supported in flexible bearings at A and C as shown in Figure
P15.43/44. Two pulleys are keyed to the shaft at B and D. Pulley B
has a diameter D B = 14 in. and belt tensions T 1 = 100 lb and T 2 =
220 lb. Pulley D has a diameter D D = 7 in. and belt tensions T 3 = 60 lb
and T 4 = 300 lb. The length dimensions of the shaft are x 1 = 8 in.,
x 2 = 4 in., x 3 = 3 in., and x 4 = 6 in. Determine the normal and shear
stresses at point H on the shaft. Show the orientation of these
stresses on an appropriate sketch.
p15.45 A stainless steel pipe (Figure P15.45) with an outside
diameter of 2.375 in. and a wall thickness of 0.109 in. is subjected
to a bending moment M = 50 lb · ft and an internal pressure of 180 psi.
Determine the absolute maximum shear stress on the outer surface
of the pipe.
M
FIGURE p15.45
p15.46 The piping assembly shown in Figure P15.46/47/48/49
consists of stainless steel pipe that has an outside diameter of 6.675 in.
and a wall thickness of 0.28 in. The assembly is subjected to concentrated
loads P x = 320 lb, P y = 410 lb, and P z = 180 lb, as well as
an internal fluid pressure of 100 psi that acts in all of the pipes. The
dimensions of the assembly are y 1 = 2.0 ft, y 2 = 4.5 ft, z 1 = 3.5 ft,
and z 2 = 3.0 ft. Determine the normal and shear stresses on the outer
surface of the pipe at (a) point A and (b) point D. Show these
stresses on an appropriate sketch.
p15.47 The piping assembly shown in Figure P15.46/47/48/49
consists of stainless steel pipe that has an outside diameter of 6.675 in.
and a wall thickness of 0.28 in. The assembly is subjected to concentrated
loads P x = 320 lb, P y = 410 lb, and P z = 180 lb, as well as
an internal fluid pressure of 100 psi that acts in all of the pipes. The
dimensions of the assembly are y 1 = 2.0 ft, y 2 = 4.5 ft, z 1 = 3.5 ft,
and z 2 = 3.0 ft. Determine the normal and shear stresses on the outer
surface of the pipe at (a) point B and (b) point C. Show these
stresses on an appropriate sketch.
p15.48 The piping assembly shown in Figure P15.46/47/48/49
consists of stainless steel pipe that has an outside diameter of 200 mm
and a wall thickness of 8 mm. The assembly is subjected to concentrated
loads P x = 2,400 N, P y = 0, and P z = 1,100 N, as well as an
internal fluid pressure of 900 kPa that acts in all of the pipes. The
dimensions of the assembly are y 1 = 0.7 m, y 2 = 1.8 m, z 1 = 1.3 m, and
z 2 = 1.1 m. Determine the normal and shear stresses on the outer
surface of the pipe at (a) point B and (b) point C. Show these
stresses on an appropriate sketch.
M
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