A solid steel bar of diameter d,=25.0 mm is enclosed by a steel tube of outer diameter d 37.5 mm and inner diameter d,=30.0 mm (see figure). Both bar and tube arc held rigidly by a support at end A and joined securely to a rigid plate at end B. The composite bar, which has a length L= 550 mm, is twisted by a torque T= 400 N •m acting on the end plate. a. Determine the maximum shear stresses T,and Tin the bar and tube, respectively. Determine the angle of rotation 0(in degrees) of the end plate, assuming that the shear modulus of the steel is G = 80 GPa. Determine the torsional stiffness k,of the composite bar. Tube Bar `End plate PROBLEMS 3.8-12 and 3.8-13

A solid steel bar of diameter d,=25.0 mm is enclosed by a steel tube of outer diameter d 37.5 mm and inner diameter d,=30.0 mm (see figure). Both bar and tube arc held rigidly by a support at end A and joined securely to a rigid plate at end B. The composite bar, which has a length L= 550 mm, is twisted by a torque T= 400 N •m acting on the end plate. a. Determine the maximum shear stresses T,and Tin the bar and tube, respectively. Determine the angle of rotation 0(in degrees) of the end plate, assuming that the shear modulus of the steel is G = 80 GPa. Determine the torsional stiffness k,of the composite bar. Tube Bar `End plate PROBLEMS 3.8-12 and 3.8-13

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 3.8.13P: A solid steel bar of diameter d1= 1.50 in. is enclosed by a steel tube of outer diameter d3= 2.25...

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