A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives to 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% 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. 250 dia. 300 45° 400 45 N. 300 NA 20 dia. T₂ B Dimensions in millimeters. T₁ 150 300 dia.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
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A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives to
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% 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.
250 dia.
300
45°
400
45 N.
300 NA
20 dia.
T₂
B
Dimensions in millimeters.
T₁
150
300 dia.
Transcribed Image Text:A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives to 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% 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. 250 dia. 300 45° 400 45 N. 300 NA 20 dia. T₂ B Dimensions in millimeters. T₁ 150 300 dia.
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