A prismatic bar AB with a solid circular cross section (diameter d) is loaded by a distributed torque (see figure). The intensity of the torque, that is, the torque per unit distance, is denoted t(x) and varies linearly from a maximum value t, at end A to zero at end 8. Also, the length of the bar is L and the shear modulus of elasticity of the material is G. (Assume that the axis begins at A and extends to the right. Use the following as necessary: tg, L. d. G.) (a) Determine the maximum shear stress max in the bar. (Enter the magnitude.) (b) Determine the angle of twist between the ends of the bar. (Use the statics sign convention.)

A prismatic bar AB with a solid circular cross section (diameter d) is loaded by a distributed torque (see figure). The intensity of the torque, that is, the torque per unit distance, is denoted t(x) and varies linearly from a maximum value t, at end A to zero at end 8. Also, the length of the bar is L and the shear modulus of elasticity of the material is G. (Assume that the axis begins at A and extends to the right. Use the following as necessary: tg, L. d. G.) (a) Determine the maximum shear stress max in the bar. (Enter the magnitude.) (b) Determine the angle of twist between the ends of the bar. (Use the statics sign convention.)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A prismatic bar AB with a solid circular cross section (diameter d) is loaded by a distributed torque (see figure). The intensity of the torque, that is, the torque per unit distance, is denoted t(x) and varies linearly from a maximum value t, at end A to zero at end B. Also, the length of the bar is L and the shear modulus of elasticity of the material is G. (Assume that the +x-axis begins at A
and extends to the right. Use the following as necessary: tA L, d, G.)
t(x)
(a) Determine the maximum shear stress Tmax in the bar. (Enter the magnitude.)
Tmax =
(b) Determine the angle of twist o between the ends of the bar. (Use the statics sign convention.)

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