1. The nonprismatic cantilever circular bar has an internal cylindrical hole from 0 to x, so that the net polar moment of inertia of the cross section for segment 1 is (7/8) Ip. Torque T, T is applied at x and torque T/2 is applied at x = L. Assume that G is constant. (a) Find reaction moment R1 (b) Find internal torsional moments Tin segments 1 and 2. (c) Find x required to obtain twist at joint 3 of = TL/GI, (d) What is the rotation at joint 2, ,? Segment 1 Segment 2 R1 2 L-x

1. The nonprismatic cantilever circular bar has an internal cylindrical hole from 0 to x, so that the net polar moment of inertia of the cross section for segment 1 is (7/8) Ip. Torque T, T is applied at x and torque T/2 is applied at x = L. Assume that G is constant. (a) Find reaction moment R1 (b) Find internal torsional moments Tin segments 1 and 2. (c) Find x required to obtain twist at joint 3 of = TL/GI, (d) What is the rotation at joint 2, ,? Segment 1 Segment 2 R1 2 L-x

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

1. The nonprismatic cantilever circular bar has an internal cylindrical hole from 0 to x, so that the net
polar moment of inertia of the cross section for segment 1 is (7/8) Ip. Torque T, T is applied at x
and torque T/2 is applied at x = L. Assume that G is constant.
(a) Find reaction moment R1
(b) Find internal torsional moments Tin segments 1 and 2.
(c) Find x required to obtain twist at joint 3 of p3 = TL/GI,
(d) What is the rotation at joint 2, z?
Segment 1
Segment 2-
R
T
3.
L-x
2.

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