An ISLB$500$ @ $75$ kg$/$m has been used as simply supported beam over effective span of$4\mathrm{.}0+($L$2$DR$/100)$ m carries factored point load of $300+($L$1$DR$)$ kN at mid span. Assume steelgrade of FE$410$ and stiff bearing length $100$ mm$.\{$neglect self wt$.$ of beam$\}$Determine design bending and shear strength considering, a$]$ Beam is laterally supportedcondition and $2]$ Beam is laterally unsupported condition. Cheak whether the given section issafe in web buckling and web crippling criteria also.