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The torsional assembly consists of a solid bronze [G = 48 GPa] segment (1) with diameter d₁ = 100 mm securely connected at flange B to solid stainless steel [G = 76 GPa] segments (2) and (3), with diameter d = 100 mm. The flange at B is secured by four bolts, with diameter d₆ = 11 mm which are each located on a bolt circle with diameter d₅ = 120 mm. The allowable shear stress of the bolts is τ_B = 85 MPa, and friction effects in the flange can be neglected for this analysis. Assume L₁ = 500 mm, L₂ = 600 mm, and L₃ = 400 mm. Determine: (a) the allowable torque T_C that can be applied to the assembly at C without exceeding the capacity of the bolted flange connection. (b) the maximum shear stress magnitude in bronze segment (1). (c) the maximum shear stress magnitudes in stainless steel segments (2) and (3).

This example provides a detailed solution to a torsional assembly problem involving a solid bronze and stainless steel assembly with a bolted flange connection. Learn how to calculate the allowable torque T_C, as well as the maximum shear stresses in bronze and stainless steel segments, using principles of torsion and shear stress. Suitable for undergraduate engineering students.

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