The building shown in the figures below, is a $3-$bay multi$-$storeyed reinforced concrete framed

structure consisting of two external bays of $5\mathrm{.}3$m span and an internal bay of $2\mathrm{.}3$m span. The

frames are spaced at $4\mathrm{.}5$ m c$/$c$.$ The length of the building is $22\mathrm{.}5$m$.$ The height of the building

is $15\mathrm{.}1$m$,$ comprising $4$ storey with the $1$st floor $4\mathrm{.}0$m high from the ground floor to the firstfloor level and the next $3$ floors each $3\mathrm{.}7$m high. There is a provision for the basement. The

building also houses an elevator and also an emergency fire escape staircase at the back of the

building. The basic room size is $4\mathrm{.}5$m width and $5\mathrm{.}3$ length with $100$mm partition walls.Design Data

The following design data are to be assumed in the analyses and design of structure:

$$ Number of bays $=3$

$$ Number of stories$=4$

$$ Number of frames$=6$

$$ Spacing of frames$=4\mathrm{.}5$ m

$$ Spacing of longitudinal beams$=2\mathrm{.}65$ m

$$ Span of $1$st bay from left$=5\mathrm{.}3$ m

$$ Span of $2$nd bay from left$=2\mathrm{.}3$ m

$$ Span of $3$rd bay from left$=5\mathrm{.}3$mHeight from ground floor to $1$st floor$=4\mathrm{.}0$ m

$$ Height from $1$st floor to $2$nd floor$=3\mathrm{.}7$ m

$$ Height from $2$nd floor to $3$rd floor$=3\mathrm{.}7$ m

$$ Height from $3$rd floor to roof$=3\mathrm{.}7$ m

$$ Bulk density of reinforced concrete, BS $8110$: Part $1$: $1997[1\mathrm{.}1]=24$

kN$/$m$3$

$$ Bulk density of reinforced Eurocode $1,$ part $1-1[1\mathrm{.}7]=25$ kN$/$m$3$

$$ Allowable bearing capacity of soil $($non$-$cohesive$)$ at $3$ m depth $($after

geotechnical investigation$),$ BS $8004$:$1986[5]=300$ kN$/$m$2$

$$ Density of soil, Eurocode $1$: Part $1-4[1\mathrm{.}7]=20$ kN$/$m$3$

$$ Live loads on roof $($with access$),$ Eurocode $1$: Part $1-4[1\mathrm{.}7]=1\mathrm{.}5$ kN$/$m$2$

$$ Live loads on floors $($including ground floor$),$ Eurocode $1$: Part $1-4[1\mathrm{.}7]=$

$5\mathrm{.}0$ kN$/$m$2$

$$ Basic wind speed $($velocity$),$ BS $6399$: Part $2$: $1997[1\mathrm{.}5]=30$ m$/$s$.$

$10$ mm$=$ ceiling finish $24$kN$/$m$3$

$50$ mm insulating screed over slab at roof level and $20$ mm over other slabs

$20$ mm asphalt over roof screed$=22\mathrm{.}6$k$/$m$2$

$100$ mm partition walls $($light weight aggregate concrete$)=16\mathrm{.}5$kN$/$m$3$

$20$ mm plaster on both faces of walls $150$ mm deep slab

a$)$ Calculate the applied vertical loadings on all beams and frames. You must show

your structural framing in your solution.

b$)$ Determine design bending moments and shear forces in one typical main frame

$($A$3-$D$3)$ and one typical one secondary beam on the $3$rd floor. use eurocode $2$ in this design