Due:$(12)/(9)()/(2024)$ Weight: $100$ Name

Problem $2[(50)/(50)]$ Buckling Analysis of Railrod Track $($referred txtbk p$12\mathrm{.}5-$revised $)$

The following figure shows the cross$-$sectional profile of a $39$ in long straight

railroad track. Use structural steel for the track with Young's modulus E$=200$GPa and

Poisson's ratio v$=0\mathrm{.}3.$ Assume the track is fixed on one end and subjected to a pressure

load along the axis of the track on the other end, that is$,$ the cross section at a distance of

$39$ in from the fixed end. Determine the critical buckling load for the railroad track.

Suppose the pressure load is $1$ MPa $.$