# GATE Mechanical 2014 Set 1 | Question: 40

A $200$ mm long, stress free rod at room temperature is held between two immovable rigid walls. The temperature of the rod is uniformly raised by $250^\circ C$. If the Young’s modulus and coefficient of thermal expansion are $200$ GPa and $1 \times 10^{−5} / _{}^{\circ}\textrm{C}$ , respectively, the magnitude of the longitudinal stress (in MPa) developed in the rod is _______

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