Civil Engineering MCQJE Level Civil Engineering
A shaft of diameter d carries a torque T. The maximum shear stress developed is:
Strength of MaterialsStrength of MaterialsMEDIUM
Choose the correct answer
A
32T/(πd³)
B
16T/(πd³)
C
8T/(πd³)
D
64T/(πd³)
Correct Answer
B. 16T/(πd³)
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Torsion formula: τ = T·r/J. For solid circular shaft: J = πd⁴/32, r = d/2. So τmax = T(d/2)/(πd⁴/32) = 16T/(πd³). J is the polar moment of inertia. Angle of twist φ = TL/(GJ) where G is shear modulus.
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