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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 \( \alpha = 10^{-6} \, \degree C^{-1} \), and the temperature of rod IJ is raised by \( \Delta T = 50 \degree C \, \text{, whereas the temperature of rod HI remains unchanged. An external horizontal force P is now applied at node I. It is given that the axial rigidities of the rods HI and IJ are 2AE and AE, respectively.
  • GATE CE - 2022
  • GATE CE
  • Structural Engineering
  • Combined and direct bending stresses