A drill rod with a diameter of 12 mm is made of high-strength steel alloy with a shear modulus of 80 GPa. The rod is to be subjected to a torque T. What is the minimum required length L of the rod so that the cross section at one end can be rotated 90⁰ with respect to the other end without exceeding an allowable shear stress of 300 MPa?

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 3.5.5P: A tubular bar with outside diameterd2= 4.0 in, is twisted by torques T = 70,0 kip-in. (see figure)....
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A drill rod with a diameter of 12 mm is made of high-strength steel alloy with a shear modulus of 80 GPa. The rod is to be subjected to a torque T. What is the minimum required length L of the rod so that the cross section at one end can be rotated 90⁰ with respect to the other end without exceeding an allowable shear stress of 300 MPa?
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