A tubular aluminum alloy [G = 4,000 ksi] shaft is being designed to transmit 390 hp at 1,600 rpm. The maximum shear stress in the shaft must not exceed 6 ksi, and the angle of twist is not to exceed 4° in an 10-ft length. Determine the minimum permissible outside diameter if the inside diameter is to be 3/4 of the outside diameter. Answer: Dmin = i in.

A tubular aluminum alloy [G = 4,000 ksi] shaft is being designed to transmit 390 hp at 1,600 rpm. The maximum shear stress in the shaft must not exceed 6 ksi, and the angle of twist is not to exceed 4° in an 10-ft length. Determine the minimum permissible outside diameter if the inside diameter is to be 3/4 of the outside diameter. Answer: Dmin = i 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

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A tubular aluminum alloy [G = 4,000 ksi] shaft is being designed to transmit 390 hp at 1,600 rpm. The maximum shear stress in the
shaft must not exceed 6 ksi, and the angle of twist is not to exceed 4° in an 10-ft length. Determine the minimum permissible outside
diameter if the inside diameter is to be 3/4 of the outside diameter.
Answer: Dmin
= i
in.

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Step 1: Determine the given variables

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Step 2: Calculating the appiled torsional moment

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Step 3: Calculating the maximum induced shear stress in the shaft due to applied torsional moment

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Step 4: Calculating the minimum outside diameter based on the maximum permissible shear stress

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Step 5: Calculating the maximum angle of twist in the shaft due to applied torsional moment

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Step 6: Calculating the minimum outside diameter based on the maximum permissible angle of twist

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Step 7: Calculating the Minimum permissible outside diameter.

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