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A solid steel bar of circular cross section has diameter d = 40 mm, length L...

A solid steel bar of circular cross section has diameter d = 40 mm, length L = 1.3 m and shear modulus of elasticity G = 80 GPa. The bar is subjected to torques T acting at the ends.

If the torques have magnitude T = 340 Nm, what is the maximum shear stress in the bar? What is the angle of twist between the ends? If the allowable shear stress is 42 MPa and the allowable angle of twist is 2.5o, what is the maximum permissible torque?

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Sol Given, d = 40 mm -0.04 m L = 1.3 m Shear modulus of electicity G=80 Gpa T= 340 Nm SO, From Torsion equation, we know, TerTi= tu x - Ixd? Tal = F x (0.04)$ 42x70% » T = 528 N-m and, Tg = box 32% (0.04.14 = 80 X 10^x (0.04363), IIX (0.04. 1.3 > 1T2

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