Section A $-$ Structural Elements Design

The floor plan of a school building and the relevant floor actions are shown below.

Dimensions $(m)$:$L=6\mathrm{.}5,H=3$

Permanent $($Dead$)$ loads $)$ Variable $($Live$)$ loads $)$

Precast concrete floor units $=2\mathrm{.}25$

Ceiling and services $=0\mathrm{.}5$

Floor finishes $=1\mathrm{.}25$

Unfixed partitions $=0\mathrm{.}75$

The beam self$-$weight is to be ignored

School building $(EC1)=3\mathrm{.}0$

Design the beam, C$3-$C$5$ as a steel beam. Detailed design of steel structural beam using appropriate EC $3.$ Lateral and torsional restraints are assumed at the supports and at the point where incoming beams are connected to it$.$ You are to design the beam using the methods taught during the lectures and tutorials.

Q$1.$ Work out the Design Action and draw the bending moment and shear force diagrams for the simply supported beam, C$3-$C$5.5$ marks

Q$2.$ Section choice, moment check, shear check, moment and shear checks, and shear buckling check. $15$ marks

Q$3.$ Complete Lateral Torsional Buckling check.

$20$ marks

Q$4.$ Complete Deflection check at Serviceability Limit State. $10$ marks

Sub Total Marks $[50]$