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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

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

Electric Motor Control
Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter3: Magnetic Starters
Section: Chapter Questions
Problem 30SQ
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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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