(a) the maximum principal stresses on the surface of the shaft at points A and B, (b) the maximum in-plane shear stress on the surface of the shaft at points A and B. (c) If the yield strength of the shaft material in tension and compression is 200 N/mm? determine the factor of safety at point A on the shaft according to both the Maximum-Shearing-Stress Criterion and Maximum Distortion Energy Criterion. Sketch the yield locus for the shaft based on the maximum shear stress theory, indicating clearly the locations of both points A and B.

(a) the maximum principal stresses on the surface of the shaft at points A and B, (b) the maximum in-plane shear stress on the surface of the shaft at points A and B. (c) If the yield strength of the shaft material in tension and compression is 200 N/mm? determine the factor of safety at point A on the shaft according to both the Maximum-Shearing-Stress Criterion and Maximum Distortion Energy Criterion. Sketch the yield locus for the shaft based on the maximum shear stress theory, indicating clearly the locations of both points A and B.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.4.8P: Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the...

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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

100%

1. A shaft of diameter d = 500 mm and length L= 2.5 m is fixed at one end and supports a propeller
at the free end as shown in Figure 1. The propeller can be treated as a concentrated end load of
weight W=150 kN . When the shaft is driven at a speed of 100 rpm the power transmitted is 15
MW. If during operation a tensile force P=1450 kN acts through the center line of the shaft,
determine
(a) the maximum principal stresses on the surface of the shaft at points A and B,
(b) the maximum in-plane shear stress on the surface of the shaft at points A and B.
(c) If the yield strength of the shaft material in tension and compression is 200 N/mm? determine
the factor of safety at point A on the shaft according to both the Maximum-Shearing-Stress
Criterion and Maximum Distortion Energy Criterion. Sketch the yield locus for the shaft based on
the maximum shear stress theory, indicating clearly the locations of both points A and B.
Fixed end
A
P
B
Torque, T
W
Figure 1

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