Problem Set #$4-$ Members under combined bending and axial load

$1/$ Determine if the beam is capable of safely carrying the applied loads. Use LRFD$.$ Given loads were determined from LRFD load combinations. Note that there are lateral supports only at the ends.

S$275$ steel, IPE$400$

a$/$

$\backslash$table$[[1,60,130],[1,130,],[2,230,130]]$

b$/$

$\backslash$table$[[$Cases$,$P$1(kN),P2(kN),W(k\frac{N}{m})$