مقاومة المواد (2) A hollow bronze shaft of 75 mi outer diameter and 50mminner diameter is slipped over a solid steel shaft 50mmin diameter and of the same length as the hollow shaft.What torquecan be applied to the composite shaft withoutexceeding a shearing stress of 60 MPa in the bronze or80 MPa in the steel? Use Gbr = 35 GPa and G₁5₂ = 83 GPa.

Given data, aA hollow bronze shaftThe outer diameter D= 75 mm= 0.075mthe inner diameter d= 50 mm=…

Answered: What torque can be applied to the…

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Mechanical Engineering

What torque can be applied to the composite shaft without.

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 3.7.12P

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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

مقاومة المواد

(2) A hollow bronze shaft of 75 mi outer diameter and 50mm
inner diameter is slipped over a solid steel shaft 50mm
in diameter and of the same length as the hollow shaft.
What torque
can be applied to the composite shaft without
exceeding a shearing stress of 60 MPa in the bronze or
80 MPa in the steel? Use Gbr = 35 GPa and G₁5₂ = 83 GPa.

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Step 2: Free Body Diagram and Torsional equation

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Step 3: Apply the compatibility equation

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Step 4: Calculate the torque of the steel and bronze shaft

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