GATE Civil Engineering (CE) 2020 Shift 2 Solved Paper

Joints $\mathit{I},\mathit{J},\mathit{K},\mathit{L},\mathit{Q}$ and $\mathit{M}$ of the frame shown in the figure (not drawn to the scale) are pins. Continuous members IQ and $\mathit{L}$ are connected through a pin at $\mathit{N}$. Continuous members JM and $\mathit{K}\mathit{Q}$ are connected through a pin at $\mathit{P}$. The frame has hinge supports at joints $\mathit{R}$ and $\mathit{S}$. The loads acting at joints $\mathit{I},\mathit{J}$ and $\mathit{K}$ are along the negative $\mathit{Y}$ direction and the loads acting at joints $\mathit{L}$ and $\mathit{M}$ are along the positive $\mathit{X}$ direction. The magnitude of the horizontal component of reaction (in $\mathit{k}\mathit{N}$ ) at $\mathit{S}$, is