Question

3.5-6 A solid circular bar of diameter $d = 50$ mm (see figure) is twisted in a testing machine until the applied torque reaches the value $T = 500 \text{ N} \cdot \text{m}$. At this value of torque, a strain gage oriented at $45^\circ$ to the axis of the bar gives a reading $\varepsilon = 339 \times 10^{-6}$. What is the shear modulus $G$ of the material?

          3.5-6 A solid circular bar of diameter $d = 50$ mm
(see figure) is twisted in a testing machine until the
applied torque reaches the value $T = 500 \text{ N} \cdot \text{m}$. At
this value of torque, a strain gage oriented at $45^\circ$ to the
axis of the bar gives a reading $\varepsilon = 339 \times 10^{-6}$.
What is the shear modulus $G$ of the material?

3.5-6 A solid circular bar of diameter d = 50 mm
(see figure) is twisted in a testing machine until the
applied torque reaches the value T = 500 N·m. At
this value of torque, a strain gage oriented at 45^∘ to the
axis of the bar gives a reading ε = 339 × 10^-6.
What is the shear modulus G of the material?

Added by Marcos D.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

07/14/2023

Step 1

In this case, $\theta = 45^\circ$, so $\gamma = \epsilon \sin 90^\circ = \epsilon$. Show more…

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3.5-6 A solid circular bar of diameter $d = 50$ mm (see figure) is twisted in a testing machine until the applied torque reaches the value $T = 500$ N·m. At this value of torque, a strain gage oriented at $45^\circ$ to the axis of the bar gives a reading $\epsilon = 339 \times 10^{-6}$. What is the shear modulus $G$ of the material? Strain gage |d = 50 mm T = 500 N·m T 45°