A solid steel bar of diameter d, = 45s.0 mm is enclosed by a steel tube of outer diameter d, = 52.5 mm and inner diameter d, = 50.0 mm (see figure). Tube End plate Both bar and tube are held rigidly by a support at end A and joined securely to a rigid plate at end 8. The composite bar, which has a length L = 380 mm, is twisted by a torque T= 350 N-m acting on the end plate. (Assume that the +x-axis begins at A and extends to the right.) (a) Determine the maximum shear stresses r, and r2 (in MPa) in the bar and tube, respectively. (Enter the magnitudes.) MPa MPa (b) Determine the angle of rotation e (in degrees) of the end plate, assuming that the shear modulus of the steel is G = 80 GPa. (Use the statics sign convention.) (c) Determine the torsional stiffness k, (in kN - m/rad) of the composite bar. kN- m/rad
A solid steel bar of diameter d, = 45s.0 mm is enclosed by a steel tube of outer diameter d, = 52.5 mm and inner diameter d, = 50.0 mm (see figure). Tube End plate Both bar and tube are held rigidly by a support at end A and joined securely to a rigid plate at end 8. The composite bar, which has a length L = 380 mm, is twisted by a torque T= 350 N-m acting on the end plate. (Assume that the +x-axis begins at A and extends to the right.) (a) Determine the maximum shear stresses r, and r2 (in MPa) in the bar and tube, respectively. (Enter the magnitudes.) MPa MPa (b) Determine the angle of rotation e (in degrees) of the end plate, assuming that the shear modulus of the steel is G = 80 GPa. (Use the statics sign convention.) (c) Determine the torsional stiffness k, (in kN - m/rad) of the composite bar. kN- m/rad
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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