GATE ME 2018 Set 2 — Question 30
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Strength of Materials → Beams & Columns → Torsion of Shafts
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Question
A hollow circular shaft of inner radius 10 mm, outer radius 20 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, the torsional stiffness of the shaft (in kN-m/rad) is ________ (correct to two decimal places).
Correct answer
35.24 to 35.44
Solution
Torsional stiffness () is defined as the torque required to produce unit twist per unit length, or more generally .From the torsion equation:Given:
Inner radius,
Outer radius,
Length,
Shear modulus, Polar moment of inertia for a hollow shaft, :Calculating torsional stiffness:Rounding to two decimal places, we get 35.34.
Inner radius,
Outer radius,
Length,
Shear modulus, Polar moment of inertia for a hollow shaft, :Calculating torsional stiffness:Rounding to two decimal places, we get 35.34.
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