A compound steel [G = 83 GPa] shaft consists of a solid 58-mm-diameter segment (1) and a solid 31-mm-diameter segment (2). The allowable shear stress of the steel is 67 MPa, and the maximum rotation angle at the free end of the compound shaft must be limited to Pc ≤ 4.1°. Assume L₁=1.1 m and L₂=2.0 m. Determine the magnitude of the largest torque To that may be applied at C. L₁ (1) Answer: Tc= 372.89 (2) L2 N-m. Tc с

A compound steel [G = 83 GPa] shaft consists of a solid 58-mm-diameter segment (1) and a solid 31-mm-diameter segment (2). The allowable shear stress of the steel is 67 MPa, and the maximum rotation angle at the free end of the compound shaft must be limited to Pc ≤ 4.1°. Assume L₁=1.1 m and L₂=2.0 m. Determine the magnitude of the largest torque To that may be applied at C. L₁ (1) Answer: Tc= 372.89 (2) L2 N-m. Tc с

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

A compound steel [G = 83 GPa] shaft consists of a solid 58-mm-diameter segment (1) and a solid 31-mm-diameter segment (2). The
allowable shear stress of the steel is 67 MPa, and the maximum rotation angle at the free end of the compound shaft must be limited to
Pc ≤ 4.1°. Assume L₁=1.1 m and L₂=2.0 m. Determine the magnitude of the largest torque To that may be applied at C.
L₁
(1)
Answer: Tc= 372.89
(2)
L2
N-m.
Tc
с

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Step 1: Given data

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Step 2: Draw FBD of each segment

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Step 3: Calculation for the maximum torque at free end by using allowable shear stress

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Step 4: Calculation for the maximum torque at free end by using maximum angle of twist

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