For any structure it is important to understand how the vertical load transfers down through the structural system.

Consider the frame for a reinforced concrete and steel office building. It has $4$ storeys and it has been designed on a $6m8m$ grid. The overall structure is $3$ bays by $5$ bays so the total plan dimensions are $18m40m.$ Each storey height is $3$ m $.$ See accompanying sketches.

The reinforced concrete slab has been designed to span in one direction, $6$ m $,$ and preliminary sizing suggests it is $250$ mm deep. The building roof is a reinforced concrete slab with the same thickness as the other levels. The slab is supported by steel beams which span $8$ m between steel columns. There are transverse beams, parallel to the slab span, for column stability only.

There should be an additional dead load allowance of $1\mathrm{.}5k\frac{N}{m^2}$ included for floor finishes and services. The building roof does not have office live loading. The roof has live snow loading of $0\mathrm{.}6k\frac{N}{m^2}$

It is important for the design of structural members that ultimate factored $($ULS$)$ loads are used, however, for foundation design unfactored $($SLS$)$ loads are required. Therefore, both factored and unfactored loads need to be worked down through the system.

Do a load path analysis for the structure.

You will need to work through the following steps:

Determine the UDL live loading for the office floor from Eurocode $1$

Determine the total combined slab load $($both ULS and SLS are required$)$

Determine the linear UDL on the primary beams supporting the slab $($both ULS and SLS are required for both an internal and a perimeter beam$)$

Determine the Max. ULS bending moment for one internal beam and one perimeter beam

Determine the beam end reactions and accumulative column axial loads.

Provide a detailed plan of the column bases with the total SLS and ULS loads labelled on each column base.