As a structural engineer, your task is to design an optimum section that has sufficient resistance to the

applied loading for the primary beam proposed in Figure $1.$ A UB in grade $S275$ steel is required for the

primary beam to carry loads over a span of $8.xYZm.$ The beam is restrained by the secondary beams at $C$

with fin connection at the web and the beams do not support any slabs. The reactions from the secondary

beams are given as F$.$ The depth of the primary beam must not exceed $425mm.$ Choose an optimumUB

section and justify your selection.

You are required to submit a design analysis by considering bending, shear, transyerse force, and deflection

checking for the selected member based on Eurocode $3$ and the assumption of support condition and loading

must be clearly stated.

Submission of written calculation and spread sheet is required. Replace $xYZ$ with the last $3$ digit of your

studentID.

Note: if your ID is CE $0101234$;$x=2,Y=3,Z=4$

Beam span is $8xYZmm$; span AC$,$ CB are equally spaced. You can round up the figure if necessary. e$.$g:beam

span is $8234mm,AC=CB=4117mm$

$F$:$G_k=3xkN,Q_k=3YkN$; $e.g$: $F$:$G_k=32kN,Q_k=33kN$

$W$:$G_k=2xk\frac{N}{m},Q_k=2Yk\frac{N}{m}$; e$.$g: $W$:$G_k=22k\frac{N}{m},Q_k=23k\frac{N}{m}$

Note: Please state your ID and the replaced figures clearly. What matters most are the calculation steps

rather than the replacement of X$YZ,$ X$=1,$Y$=2,$Z$=3$

Please keep in mind that the sloution should be based on Eurocode