Permanent load PL$1($kN$)=30$ and Variable Load, PL$1=20$

Question $1$a$)$ Calculate the design load, and the maximum shear force and bending moment on the beam resulting from the point load.

Question $1$b$)$ Determine the section classification

Question $1$c$)$ Check the shear capacity. Explain hownit can affect the bending capacity, the determine whether it is satisfactory

Question $1$d$)$ Calculate lateral torisonal buckling and determine if the beam is satisfactory. Briefly outline two technoques that you have learnt in the Lab to reduxe lateral torisonal buckling in the beams. $($assume c$1=1\mathrm{.}77$ and f$=0\mathrm{.}88)$