A solid shaft BC is fixed at the B end and subjected to torque T at the C end, as shown below. The shaft remains elastic and has shear modulus G. Which expression below represents the angle of rotation at the C end? radius R T. (It will be easier to use Castigliano's theorem.)

A solid shaft BC is fixed at the B end and subjected to torque T at the C end, as shown below. The shaft remains elastic and has shear modulus G. Which expression below represents the angle of rotation at the C end? radius R T. (It will be easier to use Castigliano's theorem.)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.3.14P: The steel axle of a large winch on an ocean liner is subjected to a torque of 1.65 kN · m (see...

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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

A solid shaft BC is fixed at the B end and subjected to torque T at the C end, as shown below. The shaft remains elastic and has shear modulus G. Which expression below
represents the angle of rotation at the C end?
radius R
T
B
(It will be easier to use Castigliano's theorem.)

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