Question $2(10$ marks$)$

A concrete floor of thickness $200$ mm is supported by $360UB56\mathrm{.}7k\frac{g}{m}$ universal beam sections placed parallel to each other as shown. Take the unit weight of concrete $=24k\frac{N}{m^3}$ and the effective span of the beams as $6$ m $.$

i$.$ Calculate the total permanent action $($dead load in kN $)$ G supported by a beam due to its own weight and the weight of the floor, in terms of the beam spacing $"$ S $".$

$(4$ marks$)$

ii$.$ If the imposed action $($live load in kN $)$ on the floor is $8$ kPa $,$ calculate the total imposed action Q on a beam, also in terms of $"$ S $".$

$(4$ marks$)$

iii. Calculate the design load $($in kN $)$ on the beam, in terms of $"$ S $"$ using the strength limit state $(W_L)$ load combination of $1\mathrm{.}2G+1\mathrm{.}5Q.$

$(2$ marks$)$