1. The shaft assembly shown below is fixed at its ends A and D. It consists of an aluminum (G= 30 GPa) segment AB rigidly connected to a steel (G= 75 GPa) segment BCD. Both segments have a 80-mm diameter. If the shaft is subjected to a torque T of 9 kN-m applied at C, determine a) The reactions at A and D; b) The angle of twist at point B; The maximum shear stress in the shaft. 300 mm -Aluminum B 600 mm Steel 300 mm

1. The shaft assembly shown below is fixed at its ends A and D. It consists of an aluminum (G= 30 GPa) segment AB rigidly connected to a steel (G= 75 GPa) segment BCD. Both segments have a 80-mm diameter. If the shaft is subjected to a torque T of 9 kN-m applied at C, determine a) The reactions at A and D; b) The angle of twist at point B; The maximum shear stress in the shaft. 300 mm -Aluminum B 600 mm Steel 300 mm

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

1.
The shaft assembly shown below is fixed at its ends A and D. It consists of an aluminum (G = 30
GPa) segment AB rigidly connected to a steel (G= 75 GPa) segment BCD. Both segments have a 80-mm
diameter. If the shaft is subjected to a torque 7 of 9 kN-m applied at C, determine
The reactions at A and D;
a)
b)
The angle of twist at point B;
The maximum shear stress in the shaft.
300 mm
-Aluminum
600 mm
Steel
C
300 mm

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