A steel rod of 30mm dia and 5m long is connected to two grips and the rod is maintained at 95deg C.Determine the stresses and pull exerted when temperature falls to 30 deg C.

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written 6.5 years ago by

teamques10 ★ 69k

• modified 5.4 years ago

If (i) The ends do not yield (ii) The ends yield by 0.12 mm.

Take $E_s = 2\times10^5 MPa, \alpha_s = 12\times10^{-6}/\hspace{0.05cm}^\circ{C}$

strength of materials

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written 6.5 years ago by

teamques10 ★ 69k

• modified 6.5 years ago

Given

$E_s = 2\hspace{0.05cm}\times\hspace{0.05cm}10^5\hspace{0.05cm}MPa,\hspace{0.25cm}\alpha_s = 12\hspace{0.05cm}\times\hspace{0.05cm}10^{-6}/\hspace{0.05cm}^\circ{C}\\ d_s = 30 mm,\hspace{0.25cm}L = 5 m = 5000\hspace{0.05cm}mm\\ t = 95 - 30 = 65^\circ{C}\\ A = \frac{\pi}{4}\hspace{0.05cm}\times\hspace{0.05cm}30^2 = 706.85\hspace{0.05cm}mm^2$

To Find

$\sigma = P =?$

Solution

Case (i) Ends do not yield (No gap)

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Therefore, $\delta = 0$

For stresses, $\sigma = …

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