GATE Civil Engineering (CE) 2023 Shift 2 Solved Paper

For the frame shown in the figure (not to scale), all members (AB, BC, CD, GB, and CH) have the same length, 𝐿 and flexural rigidity, 𝐸𝐼. The joints at B and C are rigid joints, and the supports A and D are fixed supports. Beams GB and CH carry uniformly distributed loads of 𝑤 per unit length. The magnitude of the moment reaction at A is 𝑤𝐿2⁄𝑘. What is the value of 𝑘 (in integer)? ____________