Question $8\mathrm{.}2,($NZ$534,$ June $1986,$ Q$3)$: A simply supported beam is formed from an unequal angle section $($shown in Figure $8\mathrm{.}7)$ erected with its longest leg in the vertical plane. It supports a single vertical point load of $12kN$ at a distance of $1\mathrm{.}5$ metres from one of the supports. The span of the beam is $4$ metres. Calculate the maximum tensile stress that occurs in the beam due to bending, and indicate the precise position where this occurs.