The steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine the maximum torque T that can be applied to the ends of the shaft without exceeding a shear stress of 70MPA or an angle of twist of 2.5° in the 3.5m length. Use G = 83 GPa for steel.

The steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine the maximum torque T that can be applied to the ends of the shaft without exceeding a shear stress of 70MPA or an angle of twist of 2.5° in the 3.5m length. Use G = 83 GPa for steel.

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 3.3.12P: A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable...

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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

100 mm i 70 mm
The steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine
the maximum torque T that can be applied to the ends of the shaft without
exceeding a shear stress of 70MPA or an angle of twist of 2.50 in the 3.5m length.
Use G = 83 GPa for steel.
T
100 mm
70 mm
70 mm
1.5 m
2 m
T

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