(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.

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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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
Transcribed Image Text: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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