Answer to Question #187717 in Mechanical Engineering for Gara

Question #187717

Knowing that a 0.5 mm gap exist when the temperature is 20°C, determine (a) the temperature at which the normal stress in the aluminum bar will be equal to 100 MPa, (b) the corresponding exact length of the aluminum bar.

Expert's answer

\delta=\frac{\sigma L}{E}\\0.0005=\frac{10^8 L}{75\cdot10^9}\\L=0.375\ m\\\alpha L(T-T_0)=\delta\\(23\cdot10^{-6})(0.375)(T-20)=0.0005\\T=78\degree C

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