Problem $2$

A beam is loaded with a distributed load as shown in the figure above.

The beam has a cross$-$section as shown in the figure below. The elastic modulus of the material is $E=200$GPa.

a$)$ Determine the relevant moment of inertia $/$ of the given cross$-$section of the beam.

Continue calculating with $I_x={25}^{**}{10}^{6}m{m}^4$

b$)$ Determine the greatest bending stress in the beam at section D $.$ Is this a tensile or compressive stress?

c$)$ Determine the deflection at end $C.$

Please ignore part A$)$ and include free body diagrams in the explanation. The final answer is $40\mathrm{.}88$Mpa