A specially designed wrench is used to twist a circular shaft by means of a square key that fits into slots (or keyways) in the shaft and wrench, as shown in the figure on the next page. The shaft has diameter d, the key has a square cross section of dimensions b x b, and the length of the key is c. The key fits half into the wrench and half into the shaft (i.e., the keyways have a depth equal to b/2). Derive a formula for the average shear stress Twg in the key when a load P is applied at distance L from the center of the shaft. Draw the free body diagram.
A specially designed wrench is used to twist a circular shaft by means of a square key that fits into slots (or keyways) in the shaft and wrench, as shown in the figure on the next page. The shaft has diameter d, the key has a square cross section of dimensions b x b, and the length of the key is c. The key fits half into the wrench and half into the shaft (i.e., the keyways have a depth equal to b/2). Derive a formula for the average shear stress Twg in the key when a load P is applied at distance L from the center of the shaft. Draw the free body diagram.
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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Q2. A specially designed wrench is used to twist a circular shaft by means of a square key that fits into slots (or keyways) in the shaft and wrench, as shown in the figure on the next page. The shaft has diameter d, the key has a square cross section of dimensions b x b, and the length of the key is c. The key fits half into the wrench and half into the shaft (i.e., the keyways have a depth equal to b/2).
Derive a formula for the average shear stress Twg in the key when a load P is applied at distance L from the center of the shaft. Draw the free body diagram.
![Q2. A specially designed wrench is used to twist a circular shaft by means of a square key that
fits into slots (or keyways) in the shaft and wrench, as shown in the figure on the next page. The
shaft has diameter d, the key has a square cross section of dimensions b x b, and the length of the
key is c. The key fits half into the wrench and half into the shaft (i.e., the keyways have a depth
equal to b/2).
Derive a formula for the average shear stress Tavg in the key when a load P is applied at distance
L from the center of the shaft. Draw the free body diagram.
Shaft
-Key
Wrench
P](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82d85ee5-eb4a-449d-a5a6-3f9becec0c71%2Fe083cf99-4f00-42fa-8324-52b5414d7ef3%2Fi67nh4x_processed.png&w=3840&q=75)
Transcribed Image Text:Q2. A specially designed wrench is used to twist a circular shaft by means of a square key that
fits into slots (or keyways) in the shaft and wrench, as shown in the figure on the next page. The
shaft has diameter d, the key has a square cross section of dimensions b x b, and the length of the
key is c. The key fits half into the wrench and half into the shaft (i.e., the keyways have a depth
equal to b/2).
Derive a formula for the average shear stress Tavg in the key when a load P is applied at distance
L from the center of the shaft. Draw the free body diagram.
Shaft
-Key
Wrench
P
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