Problem:

A bar $200$ mm in dia is $1\mathrm{.}5$ m long. When the bar is simply supported at its ends in the horizontal position and loaded with concentrated transverse load of $370$ kN at the center, the deflection at the center of the beam is found to be $9\mathrm{.}5$ mm $.$

If the bar is placed vertically and loaded axially what would be the buckling load $($Both ends pinned $/$ hinged$)$

Find also the ratio of maximum bending stress to buckling stress.,