A metal shaft ABCD with variable cross-section is subjected to three external torques (T1=28 kip- in, T2-8 kip-in, and T3=10 kip-in) as shown in the figure below. Each torque is acting at the locations marked with circular points along the shaft. Note that a 16-inch long segment of the shaft at the free end (right) has a 1-inch diameter bore. The dimensions (lengths and diameters) of the shaft are given in the figure. Assume deformation is linear elastic and take G=12×106 psi. D [3" 16"- X C T₁ 2" -32"- T₂ 1" diam. bore B -16"- A T3 the bar has a uniform diameter d along its full length, but external torques remain the ame and are applied at the sa locations. If the failure shear stress for the material is equal to Tfail = 10 ksi, and the factor of safety is equal to 2, determine the required (uniform) diameter d for the bar. Assume that the bar is solid for its entire length.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A metal shaft ABCD with variable cross-section is subjected to three external torques (T₁=28 kip-
in, T2=8 kip-in, and T3=10 kip-in) as shown in the figure below. Each torque is acting at the
locations marked with circular points along the shaft. Note that a 16-inch long segment of the shaft
at the free end (right) has a 1-inch diameter bore. The dimensions (lengths and diameters) of the
shaft are given in the figure. Assume deformation is linear elastic and take G=12×106 psi.
D
[3"
16"-
X
C
T₁
2"
-32"-
T₂
1" diam.
bore
B
-16"-
A
T3
the bar has a uniform diameter d along its full length, but external torques
remain the same and are applied at the same locations. If the failure shear stress for the
material is equal to Tfail = 10 ksi, and the factor of safety is equal to 2, determine the required
(uniform) diameter d for the bar. Assume that the bar is solid for its entire length.
Transcribed Image Text:A metal shaft ABCD with variable cross-section is subjected to three external torques (T₁=28 kip- in, T2=8 kip-in, and T3=10 kip-in) as shown in the figure below. Each torque is acting at the locations marked with circular points along the shaft. Note that a 16-inch long segment of the shaft at the free end (right) has a 1-inch diameter bore. The dimensions (lengths and diameters) of the shaft are given in the figure. Assume deformation is linear elastic and take G=12×106 psi. D [3" 16"- X C T₁ 2" -32"- T₂ 1" diam. bore B -16"- A T3 the bar has a uniform diameter d along its full length, but external torques remain the same and are applied at the same locations. If the failure shear stress for the material is equal to Tfail = 10 ksi, and the factor of safety is equal to 2, determine the required (uniform) diameter d for the bar. Assume that the bar is solid for its entire length.
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