Question $2(30$ points$)$: Beam $AB$ has a total length of five $(5)$ meters and is subjected to the concentrated $($point$)$ loads shown below. The beam has a solid semi$-$circular cross$-$section with diameter $D=100mm$ as shown.

Question $2$A $(5$ of $30$ points$)$: Find the reactions at points A and $B.$

Question $2$B $(10$ of $30$ points$)$: Draw the shear and bending moment diagrams for the beam.

Question $2$C $(5$ of $30$ points$)$: Determine the maximum transverse shear load $V_{\text{m}\text{a}\text{x}}$ and maximum bending moment $M_{\text{m}\text{a}\text{x}}$ in the beam.

Question $2$D $(5$ of $30$ points$)$: Calculate the appropriate second area moment $($moment of inertia$),$ I, for the beam cross section.

Question $2$E $(5$ of $30$ points$)$: Calculate the maximum axial stress due to bending in the beam, ${}_{\text{m}\text{a}\text{x}}.$