Estimate the cross sectional area, length, supported load $($consider the size and weight distribution of the roof$),$ and material properties $($likely some blended matrix of steel, concrete, and plaster, so make a reasonable approximation from common construction materials$).$

The Pillar is pinned on both ends. Calculate its critical buckling load and its safety factor against both buckling and compressive failure $($recall: ${}_s=\frac{P_{\text{f}\text{a}\text{i}\text{l}\text{u}\text{r}\text{e}}}{P_{\text{a}\text{p}\text{p}\text{l}\text{i}\text{e}\text{d}}}).$ Discuss the implications.