CESB$333/$CESB$3024,$ Semester $2,2022/2023$

QUESTION $2[25$ MARKS$]$

A steel column $AB$ as shown in Figure $2$ is $4\mathrm{.}5m$ high and carries a beam. The beam transfers the permanent and variable actions of $70kN$ and $80kN$ including its self$-$weight to the column head, respectively. The column ig fixed to the foundation and pinned to the beam. Steel grade for the structural members is $S275.$ If the column is hot rolled standard section $30530597$ UC$,$ apply the appropriate clauses in Eurocode $3$ to analyse the member buckling resistance of the column in combined bending and axial compression using the following simplified interaction check:

$\frac{N_{Ed}}{N_{b,Rd}}+\frac{M_{y,Ed}}{M_{y,b,Rd}}+1\mathrm{.}5\frac{M_{\text{z}\text{E}\text{d}}}{f_y{W}_{p\frac{l}{z}}}1\mathrm{.}0$

Figure $2$: Beam and column

$[25$ Marks$]$