For a beam under the following loading condition, plot moment $($allowable moment capacity according to AISC $360)$ versus s $($unbraced length$).$ The beam has lateral supports at its ends only. Use a range of $0-15$ m with a step size of $0\mathrm{.}5$m for s $($i$.$e$.$ for s $=0,50,100,150,.....,1500).$ Also, tabulate your results.

Use S$355$ Structural Steel $($Fy$=355$ MPa, Fu$=490$ MPa and E $=200$ GPa$)$

Discuss the effect of the selection of beams from other profile catalogs $($such as IPE, HEA, HEB, HEM$)$ in consideration of mass and bending capacity.

a$.$ For IPN $400$ section

b$.$ For IPE $500$ section

c$.$ For HEB $260$ section