Consider a two-component rod fixed at the left end. The first component (on the left, positioned from z=0 to z=L/2) is a solid rod with a shear modulus of G and radius c1. The second component (on the right, positioned from z=L/2 to z=L) is a hollow pipe fixed to component 1 at z=L/2 with the same shear modulus and outer radius c1, but with an inner radius of c2. A torque of 6To is applied at z=L/2, and a torque of -2To is applied at z=L. What value of c2 is required to make the maximum shear stress equivalent in each component? What is the angle of twist at the free end at z=L?
Consider a two-component rod fixed at the left end. The first component (on the left, positioned from z=0 to z=L/2) is a solid rod with a shear modulus of G and radius c1. The second component (on the right, positioned from z=L/2 to z=L) is a hollow pipe fixed to component 1 at z=L/2 with the same shear modulus and outer radius c1, but with an inner radius of c2. A torque of 6To is applied at z=L/2, and a torque of -2To is applied at z=L. What value of c2 is required to make the maximum shear stress equivalent in each component? What is the angle of twist at the free end at z=L?
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 3.4.21P: A nonprismatic bar ABC with a solid circular cross section is loaded by distributed torques (sec...
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Consider a two-component rod fixed at the left end. The first component (on the left, positioned from
z=0 to z=L/2) is a solid rod with a shear modulus of G and radius c1. The second component (on the right,
positioned from z=L/2 to z=L) is a hollow pipe fixed to component 1 at z=L/2 with the same shear
modulus and outer radius c1, but with an inner radius of c2. A torque of 6To is applied at z=L/2, and a
torque of -2To is applied at z=L. What value of c2 is required to make the maximum shear stress
equivalent in each component? What is the angle of twist at the free end at z=L?
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