(Solved): Allowable bending stress at section A=180MPa. Density of the uniform beam =7850kg/m3 P=190m ...

Allowable bending stress at section $\mathrm{A}=180\mathrm{MPa}$. Density of the uniform beam $=7850\mathrm{kg}/{\mathrm{m}}^3$ $\begin{array}{rl}P=& 14.2\mathrm{kN}\\ & 140\mathrm{mm}<{\mathrm{w}}_2<170\mathrm{mm}\\ 190\mathrm{mm}& <w_1<220\mathrm{mm}\end{array}$ For the beam problem given in previous slide; a - Solve the problem based on your strength background. b - By creating the optimization steps; construct the optimization problem that will give the minimum weight of the beam and withstand the given loading (considering allowable bending stress) c-Solve the optimization problem by writing a computer code d - Send your single pdf file as an email. This file should include all your solution steps along with your computer code and output window. Do not send me your program codes as separate files!