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An assembly is subjected to a torque (710 lb-in). If the allowable shear stress for the material is 12 ksi, determine the radius of the smallest size fillet that can be used to transmit the torque. B 0.75 in. 710 lb-ft 710 lb-in. -1.5 in.

An assembly is subjected to a torque (710 lb-in). If the allowable shear stress for the material is 12 ksi, determine the radius of the smallest size fillet that can be used to transmit the torque. B 0.75 in. 710 lb-ft 710 lb-in. -1.5 in.

Elements Of Electromagnetics
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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**Educational Content: Determining the Radius of Fillet for Torque Transmission** **Problem Statement:** An assembly is subjected to a torque of 710 lb-in. If the allowable shear stress for the material is 12 ksi, determine the radius of the smallest size fillet that can be used to transmit the torque. **Diagram Explanation:** The diagram illustrates a cylindrical assembly subjected to a torque. Key measurements and points are highlighted: - **Measurements:** - Top cylinder diameter at point A: 0.75 in. - Bottom cylinder diameter at point B: 1.5 in. - **Torque Application:** - Torque of 710 lb-in is applied at point A. - The same torque, converted to 710 lb-ft, is applied at point C. This problem requires the calculation of the minimum fillet radius needed to prevent shear stress from exceeding the allowable limit when torque is transmitted through the assembly.
Transcribed Image Text:**Educational Content: Determining the Radius of Fillet for Torque Transmission** **Problem Statement:** An assembly is subjected to a torque of 710 lb-in. If the allowable shear stress for the material is 12 ksi, determine the radius of the smallest size fillet that can be used to transmit the torque. **Diagram Explanation:** The diagram illustrates a cylindrical assembly subjected to a torque. Key measurements and points are highlighted: - **Measurements:** - Top cylinder diameter at point A: 0.75 in. - Bottom cylinder diameter at point B: 1.5 in. - **Torque Application:** - Torque of 710 lb-in is applied at point A. - The same torque, converted to 710 lb-ft, is applied at point C. This problem requires the calculation of the minimum fillet radius needed to prevent shear stress from exceeding the allowable limit when torque is transmitted through the assembly.
Expert Solution
Step 1: Determine the given variables

Given:

T o r q u e equals T equals 710 space l b times i n A l l o o w a b l e space s h e a r space s t r e s s space equals space tau subscript a l l o w end subscript equals 12 space k s i space equals space 12000 space p s i

Diameter of smaller section = d = 0.75 in

Diameter of bigger section = D = 1.5 in

To find:

The radius of smallest size fillet that can be used to transmit the torque.

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