Question $4$

Consider the steel framed floor beam system under a one way spanning concrete slab as shown in plan in Figure $2.$ The concrete slab is supported by beams A and B$.$ One end of beams A and the ends of beam B are supported by beams C$.$ All other beam ends are supported by columns.

All steel frame connections between members are to be simple supports.

The concrete slab is $150$ mm thick. Beam self$-$weight may be taken as $100k\frac{g}{m}.$

There is a superimposed dead load on the slab of $1\mathrm{.}5$ kPa $.$

The imposed actions consist of a uniformly distributed load of $3$ kPa $,$ plus two $3\mathrm{.}5$ tonne moveable point loads, which can be anywhere on the floor.

Figure $2.,$ all dimensions in millimetres

a$)$

For beam A $,$ calculate the maximum design shear force.

b$)$

For beam C $,$ calculate the design bending moment and choose a suitable beam size in Grade $300$ steel. Intermediate lateral restraint is provided by beams A and B only.

c$)$

Sketch a connection from beam A to beam C that conforms to the assumption of fixity noted, showing plates, welds and bolts that you might expect.

No calculations required.