The composite shaft shown in the figure is manufactured by shrink-fitting a steel sleeve over a brass core so that the two parts act as a single solid bar in torsion. Steel sleeve Brass core The outer diameters of the two parts are d, = 55 mm for the brass core and d, = 74 mm for the steel sleeve. The shear moduli of elasticity are G, = 36 GPa for the brass and G, = 80 GPa for the steel. (a) Assuming that the allowable shear stresses in the brass and steel are t, = 48 MPa and t, = 80 MPa, respectively, determine the maximum permissible torque Tmay that may be applied to the shaft. (Enter the magnitude in N- m.) N.m (b) If the applied torque T= 2,300 N - m, find the required diameter d2 (in mm) so that allowable shear stress r, is reached in the steel. (Assume the diameter d, of the brass core remains constant.) mm

The composite shaft shown in the figure is manufactured by shrink-fitting a steel sleeve over a brass core so that the two parts act as a single solid bar in torsion. Steel sleeve Brass core The outer diameters of the two parts are d, = 55 mm for the brass core and d, = 74 mm for the steel sleeve. The shear moduli of elasticity are G, = 36 GPa for the brass and G, = 80 GPa for the steel. (a) Assuming that the allowable shear stresses in the brass and steel are t, = 48 MPa and t, = 80 MPa, respectively, determine the maximum permissible torque Tmay that may be applied to the shaft. (Enter the magnitude in N- m.) N.m (b) If the applied torque T= 2,300 N - m, find the required diameter d2 (in mm) so that allowable shear stress r, is reached in the steel. (Assume the diameter d, of the brass core remains constant.) mm

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 3.8.14P: The composite shaft shown in the figure is manufactured by shrink-Fitting a steel sleeve over a...

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The composite shaft shown in the figure is manufactured by shrink-Fitting a steel sleeve over a brass core so that the two parts act as a single solid bar in torsion. The outer diameters of the two parts are dY= 40 mm for the brass core and d2= 50 mm for the steel sleeve. The shear moduli of elasticity are Gb= 36 GPa for the brass and Gs= 80 GPa for the steel. (a) Assuming that the allowable shear stresses in the brass and steel are rb= 48 MPa and ts= 80 MPa, respectively, determine the maximum permissible torque Tmax that may be applied to the shaft. (b) If the applied torque T = 2500 kN · m, find the required diameter d2so that allowable shear stress t3is reached in the steel.
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