A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the transmitted force FA applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force FB at the pressure angle shown. For the steel countershaft specified in the table A-9, find the deflection and slope of the shaft at point A. Assume the bearings constitute simple supports. In the figure below, FA is 320 lbf and the diameter of the shaft (dshaft) is 1.32 in.

A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the transmitted force FA applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force FB at the pressure angle shown. For the steel countershaft specified in the table A-9, find the deflection and slope of the shaft at point A. Assume the bearings constitute simple supports. In the figure below, FA is 320 lbf and the diameter of the shaft (dshaft) is 1.32 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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Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

A gear reduction unit uses the countershaft shown in the figure. Gear A receives power
from another gear with the transmitted force FA applied at the 20° pressure angle as
shown. The power is transmitted through the shaft and delivered through gear B through a
transmitted force FB at the pressure angle shown. For the steel countershaft specified in
the table A-9, find the deflection and slope of the shaft at point A. Assume the bearings
constitute simple supports. In the figure below, FA is 320 lbf and the diameter of the shaft
(dshaft) is 1.32 in.
196
y
dshaft
Gear A
20-in dia.
16 in
20°
The deflection at point A is
The slope at point A is
14 in
00
AG
Gear B
8-in dia.
9 in
rad.
in.
FB
20⁰

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