An axially loaded W$250$x$89$ column is supported on a $25$mm thick backplate having dimensions of $325$mmx$325$mm$.$ The concrete pedestal on the which the base plate is set $450$mm square. All steel is A$36$ and fc$=24$ Mpa. Properties are d$=259$mm$,$ bf$=257$mm$.$ Use ASD and LRFD$.($a$)$ calculate the allowable design bearing pressure on pedestal $($b$)$ compute the maximum axial load that this base plate can support based on bearing pressure on concrete pedestal $($c$)$ determine the axial load that this plate can support based on the bench strength of the plate