Shaft AB is made of a steel with an allowable shearing stress of 90 MPa and shaft BC is made of an aluminum with allowable shearing stress of 60 MPa. Knowing that the diameter of shaft BC is 50 mm and neglecting the effect of stress concentrations, determine (a) the largest torque T that can be applied at A if the allowable stress is not to exceeded in the shaft BC, (b) the corresponding required diameter of shaft AB. Aluminum Steel C T B A

Shaft AB is made of a steel with an allowable shearing stress of 90 MPa and shaft BC is made of an aluminum with allowable shearing stress of 60 MPa. Knowing that the diameter of shaft BC is 50 mm and neglecting the effect of stress concentrations, determine (a) the largest torque T that can be applied at A if the allowable stress is not to exceeded in the shaft BC, (b) the corresponding required diameter of shaft AB. Aluminum Steel C T B A

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

Prob.10: [3.17]
Shaft AB is made of a steel with an allowable shearing stress of 90 MPa and
shaft BC is made of an aluminum with allowable shearing stress of 60 MPa.
Knowing that the diameter of shaft BC is 50 mm and neglecting the effect of
stress concentrations, determine (a) the largest torque T that can be applied
at A if the allowable stress is not to exceeded in the shaft BC, (b) the
corresponding required diameter of shaft AB.
Aluminum
Steel-
C
T'
В
A

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