A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with the belt tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side at B is 15 percent of the tension on the tight side. a. Determine the tensions in the belt on pulley B, assuming the shaft is running at a constant speed. b. Find the magnitudes of the bearing reaction forces, assuming the bearings act as simple supports. c. Draw shear-force and bending-moment diagrams for the shaft. If needed, make one set for the horizontal plane and another set for the vertical plane. d. At the point of maximum bending moment, determine the bending stress and the torsional shear stress. e. At the point of maximum bending moment, determine the principal stresses and the maximum shear stress.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.70P: Solve Sample Problem 7.16 if the contact pressure under the polisher varies parabolically from p0 at...
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A countershaft carrying two V-belt pulleys is
shown in the figure. Pulley A receives power
from a motor through a belt with the belt
tensions shown. The power is transmitted
through the shaft and delivered to the belt on
pulley B. Assume the belt tension on the loose
side at B is 15 percent of the tension on the
tight side.
a. Determine the tensions in the belt on pulley
B, assuming the shaft is running at a constant
speed.
b. Find the magnitudes of the bearing reaction
forces, assuming the bearings act as simple
supports.
c. Draw shear-force and bending-moment
diagrams for the shaft. If needed, make one set
for the horizontal plane and another set for the
vertical plane.
d. At the point of maximum bending moment,
determine the bending stress and the torsional
shear stress.
e. At the point of maximum bending moment,
determine the principal stresses and the
maximum shear stress.
Transcribed Image Text:A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with the belt tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side at B is 15 percent of the tension on the tight side. a. Determine the tensions in the belt on pulley B, assuming the shaft is running at a constant speed. b. Find the magnitudes of the bearing reaction forces, assuming the bearings act as simple supports. c. Draw shear-force and bending-moment diagrams for the shaft. If needed, make one set for the horizontal plane and another set for the vertical plane. d. At the point of maximum bending moment, determine the bending stress and the torsional shear stress. e. At the point of maximum bending moment, determine the principal stresses and the maximum shear stress.
loo
250 dia.
45 N
20 dia.
400
300 N/
T₂
T₁
45
150
300 dia.
Transcribed Image Text:loo 250 dia. 45 N 20 dia. 400 300 N/ T₂ T₁ 45 150 300 dia.
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