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.

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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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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 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: Define the given data and what is to find.

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Step 2: Determine the magnitude of T1 and T2.

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Step 3: Draw the free body diagram in z-direction.

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Step 4: Apply the superposition principle.

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Step 5: Determine the deflection at A.

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Step 6: Determine the slope at A.

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