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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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
T
di d2
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 d, (in mm) so that allowable shear stress t, is reached in the steel. (Assume the diameter d, of the brass core remains constant.)
mm

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