Output Input Figure.6: Universal joint or Hook’s joint.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.3.1P: Repeat Problem 6.2-17 but now use a transformed-section approach.
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Output
Input
Figure.6: Universal joint or Hook's joint.
Transcribed Image Text:Output Input Figure.6: Universal joint or Hook's joint.
Problem 4:
Gearbox and compound train gear system are widely used in power transmission systems to change input torques
and revulsions. Your task in a company that manufactures compound gear system box is to determine the
necessary parameters to obtain a required output and securely mounting the gearbox. If the compound gearbox
shown in Figure.5 has the following design specifications:
B
D
' F
OUTPUT
INPUT
T3
A
T2
Figure.5: Compound gear train system (left), Gearbox securely mounted by clamps (Right)
Gear A has 25 teeth, Gear B has 150 teeth, Gear C has 60 teeth, Gear D 120 teeth, Gear E has 15 teeth
and Gear F has 200 teeth.
Input power and speed, respectively, 20 kW and 1500 rpm (clockwise).
Your manger asked you the perform the following analysis steps:
1. Determine the velocity ratio/ gear ratio of compound gear system.
2. Calculate the output torque and determine its direction.
3. Find the required total/hold torque to securely mount the gearbox.
4. Explain the use of compound gear instead of a simple gear train (no more than 50 words).
5. Consider that rotational motion must be translated from the output gear shaft to another shaft making
60° with first shaft. Based on Figure.6, find the required conditions for a constant velocity ratio
between two joined shafts.
Transcribed Image Text:Problem 4: Gearbox and compound train gear system are widely used in power transmission systems to change input torques and revulsions. Your task in a company that manufactures compound gear system box is to determine the necessary parameters to obtain a required output and securely mounting the gearbox. If the compound gearbox shown in Figure.5 has the following design specifications: B D ' F OUTPUT INPUT T3 A T2 Figure.5: Compound gear train system (left), Gearbox securely mounted by clamps (Right) Gear A has 25 teeth, Gear B has 150 teeth, Gear C has 60 teeth, Gear D 120 teeth, Gear E has 15 teeth and Gear F has 200 teeth. Input power and speed, respectively, 20 kW and 1500 rpm (clockwise). Your manger asked you the perform the following analysis steps: 1. Determine the velocity ratio/ gear ratio of compound gear system. 2. Calculate the output torque and determine its direction. 3. Find the required total/hold torque to securely mount the gearbox. 4. Explain the use of compound gear instead of a simple gear train (no more than 50 words). 5. Consider that rotational motion must be translated from the output gear shaft to another shaft making 60° with first shaft. Based on Figure.6, find the required conditions for a constant velocity ratio between two joined shafts.
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