Question $1$: Compulsory $(65$ Marks$)$

Figure Q$1$ shows a reinforced concrete continuous slab supported by beams at grid lines A to E $.$ The dimensions of the grid are $l_x=4500mm$ and $l_y=5400$ mm $.$

Loading: In addition to its own self$-$weight, the slab also carries a uniformly distributed characteristic permanent action $($from floor build$-$up$)$ of $1\mathrm{.}2k\frac{N}{m^2},$ and a characteristic variable action of $2\mathrm{.}5k\frac{N}{m^2}.$

Figure Q$1$

$($a$)$ Determine a suitable thickness for the slab and find a suitable cover for durability, fire and bond requirements.

$(6$ Marks$)$

$($b$)$ Determine the bending moment and shear force diagrams for the oneway spanning slab between grid lines A and C $.$

$(7$ Marks$)$