Discussion
A circular specimen of \( J = 6 \times 10^5 \) mm\( ^4 \) and gauge length \( 200 \) mm twists \( 0.001 \) radians under \( 240 \) N m. Its shear modulus is
Answer: B
Rearranging, \( G = TL/(J\theta) \). Working in newtons and millimetres, the numerator is \( 240\,000 \times 200 = 4.8 \times 10^7 \) and the denominator \( 6 \times 10^5 \times 0.001 = 600 \), giving \( 80\,000 \) N/mm\( ^2 \), that is 80 GPa. The value is about right for steel.
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