In the given system below $4$ secondary IPE$330$ beam is connected simply to HE $450$A girder $($main beam$).$ Uniformly distributed dead and live loads on secondary beams are $WG=Gk\frac{N}{m}$ ve $WQ=Qk\frac{N}{m}$ respectively. Length of the HE $450A$ is $"(2**L1+L2)$ and half length of the IPE$330$ secondary beam is $"L"$ meter. $"M"$ grade steel is used in profiles.

a$.$ Determine the characteristic shear strength of the HE $450$A beam.

b$.$ Check the design shear strength of the HE $450$A beam according to YDKT $($LRFD$)$

c$.$ Check the design shear strength of the HE $450$ A beam according to GKT $($ASD$)$

$V_n=0\mathrm{.}6F_y{A}_w{C}_{v1}$