GATE 2022 Civil Engineering Q50

Question

Consider two linearly elastic rods HI and IJ, each of length b, as shown in the figure. The rods are co-linear, and confined between two fixed supports at H and J. Both the rods are initially stress free. The coefficient of linear thermal expansion is α for both the rods. The temperature of the rod IJ is raised by ΔT, whereas the temperature of rod HI remains unchanged. An external horizontal force P is now applied at node I. It is given that α = 10⁻⁶ °C⁻¹, ΔT = 50 °C, b = 2 m, AE = 10⁶ N. The axial rigidities of the rods HI and IJ are 2AE and AE, respectively.
To make the axial force in rod HI equal to zero, the value of the external force P (in N) is ________. (round off to the nearest integer)

IIT Kharagpur · Accepted Answer

47 to 53