(Solved): Problem 2 (10 points) The 300 mm x 300 mm column shown below is constructed from high-strength concr ...

The $300\mathrm{mm}\times 300\mathrm{mm}$ column shown below is constructed from high-strength concrete $\left(E_c=25\mathrm{GPa}\right)$ and four identical $\mathrm{A}-36$ streel reinforcing rods $\left({\mathrm{E}}_{\mathrm{st}}=200\mathrm{GPa}\right)$. Knowing it is subjected to an axial force of $800\mathrm{kN}$ and that one-fourth of the load is carried by the steel and three-fourths by the concrete, (a) (2 points) Calculate the loads and stresses for each material in $\mathrm{kN}$ and $\mathrm{N}/{\mathrm{m}}^2$. (b) (4 points) Determine the required area of steel in ${\mathrm{m}}^2$. (c) (3 points) Determine the required diameter of each rod in $\mathrm{mm}$. (d) (1 point) Describe the function that represents the distribution of stresses across the section (hint; parabolic, linear, constant, etc.). The $300\mathrm{mm}\times 300\mathrm{mm}$ column shown below is constructed from high-strength concrete $\left(E_c=25\mathrm{GPa}\right)$ and four identical $A-36$ streel reinforcing rods $\left(E_{st}=200\mathrm{GPa}\right)$. Knowing it is subjected to an axial force of $800\mathrm{kN}$ and that one-fourth of the load is carried by the steel and three-fourths by the concrete, (a) (2 points) Calculate the loads and stresses for each material in $\mathrm{kN}$ and $\mathrm{N}/{\mathrm{m}}^2$. (b) (4 points) Determine the required area of steel in ${\mathrm{m}}^2$. (c) (3 points) Determine the required diameter of each rod in $\mathrm{mm}$. (d) (1 point) Describe the function that represents the distribution of stresses across the section (hint; parabolic, linear, constant, etc.).