A solid stainless steel [G = 108 GPa] shaft that is 1.2 m long will be subjected to a pure torque of T = 82 N-m. Determine the minimum diameter d required if the shear stress must not exceed 40 MPa and the angle of twist must not exceed 4.7°. Report both the maximum shear stress I and the angle of twist at this minimum diameter. Answers: d = i mm. T= i MPa. 4= O

A solid stainless steel [G = 108 GPa] shaft that is 1.2 m long will be subjected to a pure torque of T = 82 N-m. Determine the minimum diameter d required if the shear stress must not exceed 40 MPa and the angle of twist must not exceed 4.7°. Report both the maximum shear stress I and the angle of twist at this minimum diameter. Answers: d = i mm. T= i MPa. 4= O

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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

A
solid stainless steel [G = 108 GPa] shaft that is 1.2 m long will be subjected to a pure torque of T
= 82 N-m. Determine the minimum diameter d required if the shear stress must not exceed 40 MPa
and the angle of twist must not exceed 4.7°. Report both the maximum shear stress 7 and the angle of
twist at this minimum diameter.
Answers:
d =
mm.
T =
IN
i
MPa.
i

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