Prob. # 2] The 1.5-in-diameter solid steel shaft shown below is simply supported at the ends. Two pulleys are keyed to the shaft where pulley B is of diameter 4.0 in and pulley C is of diameter 8.0 in. Considering bending and torsional stresses only, a) determine the locations and magnitudes of the greatest bending and torsional stresses in the shaft. Then, at the location of the maximum bending and torsional stresses, b) determine the maximum and minimum principal stresses, including the angle of inclination of the planes on which the principal stresses act, and c) the maximum shear stress, including the angle of inclination of the element on which the maximum shear stress occurs. Note: Draw the stress elements.

Prob. # 2] The 1.5-in-diameter solid steel shaft shown below is simply supported at the ends. Two pulleys are keyed to the shaft where pulley B is of diameter 4.0 in and pulley C is of diameter 8.0 in. Considering bending and torsional stresses only, a) determine the locations and magnitudes of the greatest bending and torsional stresses in the shaft. Then, at the location of the maximum bending and torsional stresses, b) determine the maximum and minimum principal stresses, including the angle of inclination of the planes on which the principal stresses act, and c) the maximum shear stress, including the angle of inclination of the element on which the maximum shear stress occurs. Note: Draw the stress elements.

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.

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Prob. # 2] The 1.5-in-diameter solid steel shaft shown below is simply supported at the ends.
Two pulleys are keyed to the shaft where pulley B is of diameter 4.0 in and pulley C is of
diameter 8.0 in. Considering bending and torsional stresses only, a) determine the locations and
magnitudes of the greatest bending and torsional stresses in the shaft. Then, at the location of
the maximum bending and torsional stresses, b) determine the maximum and minimum
principal stresses, including the angle of inclination of the planes on which the principal stresses
act, and c) the maximum shear stress, including the angle of inclination of the element on which
the maximum shear stress occurs. Note: Draw the stress elements.
Figure problem #2.
800 lbf
10 in
200 lbf
1000 lbf
10 in
200 lbf
10 in
1200 lbf
500 lbf
1600 lbf-in
10 in
100 lbf
10 in
1600 lbf-in
10 in
600 Ibf
400 lbf
x
400 lbf

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