$(12$ pts$)$ A $10-$meters long simply$-$supported beam is loaded axially of $P_{\text{a}\text{x}\text{i}\text{a}\text{l}}=60kN,$ loaded transversely at the midspan of $P_{\text{t}\text{r}\text{a}\text{n}\text{s}\text{v}\text{e}\text{r}\text{s}\text{e}}=3kN.$ The beam is made of $100250$ timber. Disregard the beam weight; The relevant appendix tables are given as verow. Carcuate

$(4$ pts$)$ the tensile stress ${}_{\text{a}\text{x}\text{i}\text{a}\text{l}}$ due to the axial load $[$MPa$]$

$(4$ pts$)$ the bending stress ${}_{\text{b}\text{e}\text{n}\text{d}\text{i}\text{n}\text{g}}$ due to the transverse load $[$MPa$]$

$(4$ pts$)$ the combined maximum stress ${}_{\text{c}\text{o}\text{m}\text{i}\text{n}\text{e}\text{d}}[MPa]$