The non prismatic, cantilever circular bar shown has an internal cylindrical hole from 0 to y, so the net polar moment of inertia of the cross section for segment 1 is (7/8 )I p . Torque Tis applied at _ y and torque 772 is applied at .v = L. Assume that G is constant. Find the reaction moment R y . Find internal torsional moments T i in segments 1 and 2. Find x required to obtain twist at joint 3 of tf 3 = TLtGI p . What is the rotation at joint 2, Draw the torsional moment (TMD:7(.,0 _v L) and displacement (TDD: M_y ), 0 x L) diagrams.

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Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347
BuyFind

Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347

Solutions

Chapter
Section
Chapter 3, Problem 3.4.13P
Textbook Problem

The non prismatic, cantilever circular bar shown has an internal cylindrical hole from 0 to y, so the net polar moment of inertia of the cross section for segment 1 is (7/8 )Ip. Torque Tis applied at _y and torque 772 is applied at .v = L. Assume that G is constant.

  1. Find the reaction moment Ry.

  • Find internal torsional moments Tiin segments 1 and 2.
  • Find x required to obtain twist at joint 3 of tf3 = TLtGIp.
  • What is the rotation at joint 2,
  • Draw the torsional moment (TMD:7(.,0 _v L) and displacement (TDD: M_y),0 x L) diagrams.
  •   Chapter 3, Problem 3.4.13P, The non prismatic, cantilever circular bar shown has an internal cylindrical hole from 0 to y, so

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    Chapter 3 Solutions

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