(Solution) - A prismatic bar AB of solid circular cross section diameter -(2025 Original AI-Free Solution)

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A prismatic bar AB of 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 tA 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.

A prismatic bar AB of solid circular cross section (diameter
(b) Determine the angle of twist ( between the ends of the bar.
A prismatic bar AB of solid circular cross section (diameter