Question

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

Name: a solid circular bar of diameter d 50mm is twisted in a testing machine until the applied toque reaches the value t 500 n cdot m at this value a strain gage oriented at 45circ to the axis of 30245
Uploaded: 2023-07-14T07:42:08-08:00
Duration: 2 min 12 s
Channel: Madhur L
Description: a solid circular bar of diameter d 50mm is twisted in a testing machine until the applied toque reaches the value t 500 n cdot m at this value a strain gage oriented at 45circ to the axis of 30245

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

a solid circular bar of diameter d 50mm is twisted in a testing machine until the applied toque reaches the value t 500 n cdot m at this value a strain gage oriented at 45circ to the axis of 30245

Added by Milagros T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

07/14/2023

Step 1

Step 1: The shear strain $\gamma$ is related to the normal strain $\epsilon$ at $45^\circ$ by the equation: $\gamma = 2\epsilon$ Given $\epsilon = 339 \times 10^{-6}$, we can calculate $\gamma$: $\gamma = 2 \times 339 \times 10^{-6} = 678 \times 10^{-6}$ Show more…

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