PART II$.$ PROBLEM Solving $($DESIGN OF BEAM$)$

Determine the total dead load $($selfweight of the beam $+$ steel plate weight$)$ to be carried by the steel

beam along Grid $A.($Answer in $k\frac{N}{m})$

Determine the total live load to be carried by the beam along Grid A$.($Answer in $k\frac{N}{m})$

Determine the critical load combination using $1\mathrm{.}4$DL OR $1\mathrm{.}2$DL $+1\mathrm{.}6$LL $($Answer in kN$/$m$)$

Determine the Design Moment Mu$\text{'}$ of the beam assumming the beam is simply supported at its ends.

$($Answer in $kN-$m$)$

Check the local stability of the beam section W$18$X$35.$ Is the section compact or Non$-$compact?

Determine critical UNBRACED LENGTH of the beam $($Lb$).($Answer in meters$)$

Will the beam experience Lateral torsional buckling $($LTB$?).$

Determine the Nominal Moment Capacity of the Beam Mn$?($answer in kN$-$m$)$

Using LRFD Method, What is the Ultimate Moment Capacity of the beam? $Mn?($Answer in kN$-$m$)$

What is the Utlization Ratio? $($Mu $/$ $ Mn$).($Answer in percentage$)$

If the UR $($utlization ratio$)$ is more than $100\%,$ what is the smallest possible section of the beam using

W$18$ sizes that can support the structure?