$DL=1\mathrm{.}7K\frac{N}{m}$;$LL=2\mathrm{.}9K\frac{N}{m}$

The factored moment demand using LRFD method is $73kN-m$

The factored load on the beam using LRFD is $9\mathrm{.}7k\frac{N}{m}$

The beam is safe under bending if the nominal moment is $90kN-m$ and the strength reduction factor is $0\mathrm{.}9$

The factored load on the beam using LRFD is $6\mathrm{.}68k\frac{N}{m}$

The beam is safe under bending if the nominal moment is $95kN-m$ and the strength reduction factor is $0\mathrm{.}9$

The factored moment demand using LRFD method is $83\mathrm{.}5kN-m$