+ The square-threaded worm gear shown has a mean radius of 1.5 in. and a lead of 0.375 in. The large gear is subjected to a constant clockwise couple of 7.2 kip in. Knowing that the coefficient of static friction between the two gears is 0.12, determin the couple that must be applied to shaft AB in order to rotate the large gear counterclockwise. Neglect friction in the bearings at A, B, and C плллллл ในขนาน AN Fig. PS.69 7.2 kip-in. 12 in. www B

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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### Educational Transcription

The square-threaded worm gear shown has a mean radius of 1.5 inches and a lead of 0.375 inches. The large gear is subjected to a constant clockwise couple of 7.2 kip·in. Knowing that the coefficient of static friction between the two gears is 0.12, determine the couple that must be applied to shaft AB to rotate the large gear counterclockwise. Neglect friction in the bearings at A, B, and C.

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#### Diagram Explanation

The diagram illustrates a large gear with a couple of 7.2 kip·in acting in the clockwise direction. A worm attached to shaft AB is positioned beneath the large gear, engaging with it. The distance from the center of the large gear to the point of this couple is marked as 12 inches. 

In the lower part of the diagram, shaft AB is supported at two points labeled A and B, indicating locations of bearings. The point C on the gear is where the couple is applied.

The understanding of the gear and worm system, alongside the given friction coefficient and dimensions, is important for calculating the necessary counterclockwise couple to overcome the applied clockwise couple.
Transcribed Image Text:### Educational Transcription The square-threaded worm gear shown has a mean radius of 1.5 inches and a lead of 0.375 inches. The large gear is subjected to a constant clockwise couple of 7.2 kip·in. Knowing that the coefficient of static friction between the two gears is 0.12, determine the couple that must be applied to shaft AB to rotate the large gear counterclockwise. Neglect friction in the bearings at A, B, and C. --- #### Diagram Explanation The diagram illustrates a large gear with a couple of 7.2 kip·in acting in the clockwise direction. A worm attached to shaft AB is positioned beneath the large gear, engaging with it. The distance from the center of the large gear to the point of this couple is marked as 12 inches. In the lower part of the diagram, shaft AB is supported at two points labeled A and B, indicating locations of bearings. The point C on the gear is where the couple is applied. The understanding of the gear and worm system, alongside the given friction coefficient and dimensions, is important for calculating the necessary counterclockwise couple to overcome the applied clockwise couple.
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