(Solved): A concrete column with hollow circular cross section is under external loads as shown in Figure 1. ...

A concrete column with hollow circular cross section is under external loads as shown in Figure 1. Horizontal distributed load is defined by $w=1/8\ast x^2$ function and its value reaches to $8\mathrm{kN}$ at the top of the column. Also, $50\mathrm{kN}$ vertical load is applied from the top of the column and its application point is $400\mathrm{mm}$ away from the centroid of the column as shown in the figure. Concrete column has hollow circular cross section and outer radius is $400\mathrm{mm}$, inner radius is $300\mathrm{mm}$. Determine the maximum normal and shear stress for the column. Note: Unit weight for the column is ${\gamma }_{\mathrm{c}}=25\mathrm{kN}/{\mathrm{m}}^3$ and it should be considered in the calculation of the self-weight of the hollow circular column.