The compound shaft is composed of bronze cylindrical segment AB and steel cylindrical segment BC. The two ends of the compound shaft are fixed to rigid supports. The external torque (T) is applied at B. The shear modulus of segment AB and BC is 40 GPa and 80 GPa, respectively. The length of the segment AB and BC is 2 m and 1 m, respectively. The diameter of the segment AB and BC is 0.05 m and 0.025 m, respectively. Determine the external torque T applied to point B so that one of the principal stresses for a point H on the surface of the segment AB is – 100 MPa. T H. B C A 2 m 1 m

The compound shaft is composed of bronze cylindrical segment AB and steel cylindrical segment BC. The two ends of the compound shaft are fixed to rigid supports. The external torque (T) is applied at B. The shear modulus of segment AB and BC is 40 GPa and 80 GPa, respectively. The length of the segment AB and BC is 2 m and 1 m, respectively. The diameter of the segment AB and BC is 0.05 m and 0.025 m, respectively. Determine the external torque T applied to point B so that one of the principal stresses for a point H on the surface of the segment AB is – 100 MPa. T H. B C A 2 m 1 m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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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

The compound shaft is composed of bronze cylindrical segment AB and steel cylindrical
segment BC. The two ends of the compound shaft are fixed to rigid supports. The external
torque (T') is applied at B. The shear modulus of segment AB and BC is 40 GPa and 80 GPa,
respectively. The length of the segment AB and BC is 2 m and 1 m, respectively. The
diameter of the segment AB and BC is 0.05 m and 0.025 m, respectively. Determine the
external torque T applied to point B so that one of the principal stresses for a point H on the
surface of the segment AB is – 100 MPa.
T
H.
B
C
A
2 m
1 m

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