An $8$ storey steel$-$framed building structure in simple construction. The steel grade is S$355.$ The storey height is $4$ m$.$ The floor plan is rectangular, with $5$ equal bays of $9$m in one direction and $3$ bays $(6$m$,9$m$,6$m$)$ in the other direction. Columns are placed at the intersections of the bays. The entire floor is constructed of reinforced concrete slabs of $100$ mm in average thickness.

The secondary beams are aligned in the longer direction of the building and the spacing between secondary beams is $3$m$.$ Lateral stability is provided by X$-$bracing in both directions at the two ends of the building structure. Use UB and UC sections for beams and columns. The primary beams are connected to the flanges of the columns.

$($i$)$ For the purpose of calculating the characteristic permanent action $($dead load$),$ the density of the concrete slab $($including reinforcement$)$ is $23$kN$/$m$3$; $($ii$)$ Also, because the steel section sizes are unknown at the start, assume an equivalent uniformly distributed load of $0\mathrm{.}30$kN$/$m$2$ on the floor as self$-$weight of the steel sections; $($iii$)$ The characteristic variable action $($imposed load$)$ on the floor is $5$ kN$/$m$2.($iv$)$ The characteristic wind load is $0\mathrm{.}6$ kN$/$m$2$ in any direction on the fa$$ade of the structure. Assume the wind load is transmitted to the bracing system by the floor plates according to the tributary fa$$ade areas supported by the floor plates. $1)$ Select an appropriate flat plate size for the bracing members in any one direction of the building according to the maximum bracing member force in that direction. Assume there is one line of $20$mm diameter bolts along the length of the flat plate for connection.

$2)$ Carry out a vertical load path analysis to determine the ultimate limit state $($ULS$)$ design loading conditions on all the beams. $($note all beams are the same on different floors, and there are $6$ different types of beams on each floor.

$3)$ Estimate the universal beam section sizes for the beams above to ensure that their plastic moment capacities are not less than the maximum moments in the beams.

$4)$For the internal $9$m primary beam, check all aspects of the beam using the estimated section size above. Assume the beam is laterally and torsionally restrained only at the supports and at the positions of secondary beams. Do not iterate if the beam is not sufficient.

$5)$Select a universal column section for one internal column on the ground floor and carry out all necessary checks.

$6)$Estimate the total weight of the steel sections of the whole building. Use this to calculate the total embodied energy of the whole building. Also use this to check whether the assumed self weight of steel in the first slide is good enough.

Give a full numerical answer with steps included.