Example Problem 4-1, (page 141), [Ref.1]: The shaft shown in Figure 4-7 is supported by two bearings and carries two V-belt sheaves. The tensions in the belts exert horizontal forces on the shaft, tending to bend it in the X-Z plane. Sheave B exerts a clockwise torque on the shaft when viewed toward the origin of the coordinate system along the X-axis. Sheave C exerts an equal but opposite torque on the shaft. For the loading condition shown, determine the principal stresses and the maximum shear stress on element K on the front surface of the shaft (on the positive Z-side) just to the right of sheave B, Follow the general procedure for analyzing combined stresses given in this section.

Elements Of Electromagnetics
7th Edition
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Example Problem 4-1, (page 141). [Ref.1]:
The shaft shown in Figure 4-7 is supported by two bearings and carries
two V-belt sheaves. The tensions in the belts exert horizontal forces on the shaft,
tending to bend it in the X-Z plane. Sheave B exerts a clockwise torque on the
shaft when viewed toward the origin of the coordinate system along the X-axis.
Sheave C exerts an equal but opposite torque on the shaft. For the loading
condition shown, determine the principal stresses and the maximum shear
stress on element K on the front surface of the shaft (on the positive Z-side) just
to the right of sheave B, Follow the general procedure for analyzing combined
stresses given in this section.
Page 2 of 8
100 mm
100 mm
50 mm
Stress
T B element.
T.
50 mm
100 mm
в 100 mm
C
D
Shaft dia. = 32 mm
FB=2440 N Fc=1220 N RD
T= Torque = 120 N.m
(b) Forces acting on shaft at B and C caused
by belt drives
(a) Pictorial view of shaft
Transcribed Image Text:Example Problem 4-1, (page 141). [Ref.1]: The shaft shown in Figure 4-7 is supported by two bearings and carries two V-belt sheaves. The tensions in the belts exert horizontal forces on the shaft, tending to bend it in the X-Z plane. Sheave B exerts a clockwise torque on the shaft when viewed toward the origin of the coordinate system along the X-axis. Sheave C exerts an equal but opposite torque on the shaft. For the loading condition shown, determine the principal stresses and the maximum shear stress on element K on the front surface of the shaft (on the positive Z-side) just to the right of sheave B, Follow the general procedure for analyzing combined stresses given in this section. Page 2 of 8 100 mm 100 mm 50 mm Stress T B element. T. 50 mm 100 mm в 100 mm C D Shaft dia. = 32 mm FB=2440 N Fc=1220 N RD T= Torque = 120 N.m (b) Forces acting on shaft at B and C caused by belt drives (a) Pictorial view of shaft
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