Question

A hollow steel bar $(G=80 \mathrm{GPa})$ is twisted by torques $T$ (see figure). The twisting of the bar produces a maximum shear strain $\gamma_{\max }=640 \times 10^{-6}$ rad. The bar has outside and inside diameters of $150 \mathrm{mm}$ and $120 \mathrm{mm}$ respectively. (a) Determine the maximum tensile strain in the bar. (b) Determine the maximum tensile stress in the bar. (c) What is the magnitude of the applied torques $T ?$

          A hollow steel bar $(G=80 \mathrm{GPa})$ is twisted by torques $T$ (see figure). The twisting of the bar produces a maximum shear strain $\gamma_{\max }=640 \times 10^{-6}$ rad. The bar has outside and inside diameters of $150 \mathrm{mm}$ and $120 \mathrm{mm}$ respectively.
(a) Determine the maximum tensile strain in the bar.
(b) Determine the maximum tensile stress in the bar.
(c) What is the magnitude of the applied torques $T ?$

Added by Consuelo S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

11/14/2022

Step 1

Given: $\gamma_{\max} = 640 \times 10^{-6}$ rad Maximum tensile strain, $\epsilon_{\max} = \frac{\gamma_{\max}}{2} = \frac{640 \times 10^{-6}}{2} = 320 \times 10^{-6}$ Show more…

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A hollow steel bar $(G=80 \mathrm{GPa})$ is twisted by torques $T$ (see figure). The twisting of the bar produces a maximum shear strain $\gamma_{\max }=640 \times 10^{-6}$ rad. The bar has outside and inside diameters of $150 \mathrm{mm}$ and $120 \mathrm{mm}$ respectively. (a) Determine the maximum tensile strain in the bar. (b) Determine the maximum tensile stress in the bar. (c) What is the magnitude of the applied torques $T ?$