Question $1$:

There is a multi$-$storey continuous $2-$D frame as shown in Figure Q$1,$ with $356368153$ UC in Grade S$275$ as column and $35617167$ UB in Grade S$275$ as beams. The beams are under uniformly distributed loads along span, with the dead load of $4k\frac{N}{m}$ and live load of $9k\frac{N}{m}.$ The member connection of frame is assumed rigid, and its bases are pinned to the ground.

Please:

a$)$ Identify the frame is sway or non$-$sway.

b$)$ Assuming the frame is sway, please check the axial compressive resistance of the column in the $2^{nd}$ storey as circled in Figure.

Notes: Out$-$of$-$plane deformation of the frame is restrained.

Horizontal deflection at each floor induced by $F_N$ and $F_v$ :

${}_4=4\mathrm{.}0mm$

${}_3=3\mathrm{.}8mm$

${}_2=3\mathrm{.}5mm$

${}_1=3\mathrm{.}0mm$

D frame