The nonprismatic cantilever circular bar shown has an internal cylindrical hole from 0 to x, so the

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The nonprismatic cantilever circular bar shown has an internal cylindrical hole from 0 to x, so the net polar moment of inertia of the cross section for segment 1 is (7/8)Ip. Torque 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 Ti in segments 1 & 2.
(c) Find x required to obtain twist at joint 3 of (3 = TL/GIp
(d) What is the rotation at joint 2, (2?
(e) Draw the torsional moment (TMD: T(x), o ( x ( L) and displacement (TDD: ((x), 0 ( x ( L) diagrams.
The nonprismatic cantilever circular bar shown has an internal cylindrical
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Mechanics of Materials

ISBN: 978-0495438076

7th edition

Authors: James M. Gere, Barry J. Goodno

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