3. (30 points) A solid cylindrical bar of length 3L has diameter d₁ in the top third between points A and B, and diameter 2d₁ in the bottom two thirds. It is made of a material with a shear modulus G, an allowable tensile stress of G/400, an allowable compressive stress of G/500, and allowable shear stress of G/1000. It is exposed to a torsion T₁ in the direction shown at end A, torsion T₁ in the opposite direction at point B. It is also exposed to torsion 27₁ in the direction shown at point C halfway between point B and end D. It is anchored at the base C to a solid support. What is the total twist angle between points A and D? A L B L 2d1 C 2 L D

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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3. (30 points) A solid cylindrical bar of length 3L has diameter d₁ in the top third
between points A and B, and diameter 2d₁ in the bottom two thirds. It is made of a
material with a shear modulus G, an allowable tensile stress of G/400, an allowable
compressive stress of G/500, and allowable shear stress of G/1000. It is exposed to a
torsion T₁ in the direction shown at end A, torsion T₁ in the opposite direction at point
B. It is also exposed to torsion 27₁ in the direction shown at point C halfway between
point B and end D. It is anchored at the base C to a solid support. What is the total
twist angle between points A and D?
A
L
B
L
2d1
C
2
L
D
Transcribed Image Text:3. (30 points) A solid cylindrical bar of length 3L has diameter d₁ in the top third between points A and B, and diameter 2d₁ in the bottom two thirds. It is made of a material with a shear modulus G, an allowable tensile stress of G/400, an allowable compressive stress of G/500, and allowable shear stress of G/1000. It is exposed to a torsion T₁ in the direction shown at end A, torsion T₁ in the opposite direction at point B. It is also exposed to torsion 27₁ in the direction shown at point C halfway between point B and end D. It is anchored at the base C to a solid support. What is the total twist angle between points A and D? A L B L 2d1 C 2 L D
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