A torque T is applied at the free end of a stepped rod of circular cross-sections as shown in the figure. The shear modulus of the material of the rod is G. The expression for d to produce an angular twist θ at the free end is

\({\left( {\frac{{16TL}}{{\pi \theta G}}} \right)^{\frac{1}{4}}}\)

\({\left( {\frac{{32TL}}{{\pi \theta G}}} \right)^{\frac{1}{4}}}\)

\({\left( {\frac{{18TL}}{{\pi \theta G}}} \right)^{\frac{1}{4}}}\)

\({\left( {\frac{{2TL}}{{\pi \theta G}}} \right)^{\frac{1}{4}}}\)

A torque T is applied at the free end of a stepped rod of circular cro

1.	A torque T is applied at the free end of a stepped rod of circular cross-sections as shown in the figure. The shear modulus of the material of the rod is G. The expression for d to produce an angular twist θ at the free end is
A.	\({\left( {\frac{{32TL}}{{\pi \theta G}}} \right)^{\frac{1}{4}}}\)
B.	\({\left( {\frac{{18TL}}{{\pi \theta G}}} \right)^{\frac{1}{4}}}\)
C.	\({\left( {\frac{{16TL}}{{\pi \theta G}}} \right)^{\frac{1}{4}}}\)
D.	\({\left( {\frac{{2TL}}{{\pi \theta G}}} \right)^{\frac{1}{4}}}\)
Answer» C. \({\left( {\frac{{16TL}}{{\pi \theta G}}} \right)^{\frac{1}{4}}}\)

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A torque T is applied at the free end of a stepped rod of circular cross-sections as shown in the figure. The shear modulus of the material of the rod is G. The expression for d to produce an angular twist θ at the free end is

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