Question $1$:

A concrete floor with two slabs is supported by steel beams, as shown in Figure $1.$ The floor

dimensions are $5\mathrm{.}0$ m by $8\mathrm{.}0$ m $.$ The concrete slab thickness is $120$ mm with a density of $24\mathrm{.}5$

$k\frac{N}{m^3}.$ The floor is supported by five beams. The imposed load on the slabs is $3\mathrm{.}0$ kPa as a live

load. The self$-$weight of the beams is negligible. Beam A is a secondary beam with both ends

pinned. Beam B is a primary beam with both ends fixed.

Please:

a$)$ Calculate the design floor pressures for Ultimate Limit State $($ULS$)$ and Serviceability

Limit State $($SLS$)$ checks on the floor.

b$)$ Plot the unfactored bending moment diagram of beam A for deflection check under

SLS$.$

e$)$ Plot the factored bending moment diagram of beam $B$ for strength cheek under ULS.

c$)$ Determine the factored applied forces on beam B for strength check under ULS.

Notes: Please provide detailed calculation steps.