Additional Problem $4$:

A concrete column has six steel reinforcing bars embedded in it $($concrete and steel are bonded together and same length$),$ as shown in the sketch below. If the column is subjected to a temperature increase of $30$ degrees Celsius, find the normal stresses that develop in a$)$ the concrete and b$)$ the steel. $E_{\text{s}\text{t}\text{e}\text{e}\text{l}}=200$GPa,${}_{\text{s}\text{t}\text{e}\text{e}\text{l}}=11\mathrm{.}5\frac{{10}^{-6}}{}C$ and

Six steel bars $-$ each bar has diameter of $22mm$ and is $1\mathrm{.}8m$ long