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. For the steel countershaft shown below, find the deflection and slope of the shaft at point A. Use superposition with the deflection equations in Table A-9. Assume the bearings constitute simple supports. In the figure shown, Tx=545 lbf, Ty=81.75 lbf, and the diameter of the shaft (dshaft) is 1.29 in. 10 in 8-in dia. 18 in dshaft 10-in dia. The deflection at point A is The slope at point A is 12 in in. x 10-4 rad.

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. For the steel countershaft shown below, find the deflection and slope of the shaft at point A. Use superposition with the deflection equations in Table A-9. Assume the bearings constitute simple supports. In the figure shown, Tx=545 lbf, Ty=81.75 lbf, and the diameter of the shaft (dshaft) is 1.29 in. 10 in 8-in dia. 18 in dshaft 10-in dia. The deflection at point A is The slope at point A is 12 in in. x 10-4 rad.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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 Bis 15 percent of the tension on the tight side. For the steel countershaft shown below, find the deflection and slope of the
shaft at point A. Use superposition with the deflection equations in Table A-9. Assume the bearings constitute simple supports. In the
figure shown, Tx=545 lbf, Ty=81.75 lbf, and the diameter of the shaft (dshaft) is 1.29 in.
Ty
10 in
8-in dia.
18 in
dshaft
10-in dia.
The deflection at point A is
The slope at point A is
T₂
12 in
X
in.
10-4 rad.

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Step 1: Finding Torque on the pully.

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Step 2: Applying superposition principle.

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Step 3: Finding deflection at A .

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Step 4: Finding slope at A.

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Step 5: For part B find deflection and slope.

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Step 6: Net deflection and slope at A.

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