$2.(10$ pts$)$ Consider a column with a solid round cross$-$section. The column is $0\mathrm{.}5[$m$]$ long and its ends are fixed. The column must carry a load of $88,000[$ N $]$ with a design factor of $1.$ The yield strength of the material is $500[$MPa$]$ and the Young's modulus of the materiel is $207[$GPa$].$ What is the exact diameter required? $($Use Recommended Value$*$ values for end$-$condition constraints.$)$