A structural member of rectangular cross-section $10 \mathrm{~mm} \times 6 \mathrm{~mm}$ and length $1 \mathrm{~m}$ is made of steel (Young's modulus is $200 G P a$ and coefficient of thermal expansion is $\left.12 \times 10^{-6} /{ }^{\circ} \mathrm{C}\right) .$ It is rigidly fixed at both the ends and then subjected to a gradual increase in temperature. Ignoring the three dimensional effects, the structural member will buckle if the temperature is increased by $\Delta T^{\circ} \mathrm{C}$ which is

(A) 19.74
(B) 9.87
(C) 78.96
(D) 39.48

Question ID - 1 | SaraNextGen Top Answer

A structural member of rectangular cross-section $10 \mathrm{~mm} \times 6 \mathrm{~mm}$ and length $1 \mathrm{~m}$ is made of steel (Young's modulus is $200 G P a$ and coefficient of thermal expansion is $\left.12 \times 10^{-6} /{ }^{\circ} \mathrm{C}\right) .$ It is rigidly fixed at both the ends and then subjected to a gradual increase in temperature. Ignoring the three dimensional effects, the structural member will buckle if the temperature is increased by $\Delta T^{\circ} \mathrm{C}$ which is

(A) 19.74
(B) 9.87
(C) 78.96
(D) 39.48