A simply supported pre$-$stressed concrete beam$($PSC$)$ of span $6$ m is of $1-$section, having a overall depth of beam to be $300$ mm $.$ The top and bottom flange is $250mmx50$ mm and $300mm60mm$ respectively. The width of the web is of $60$ mm $.$ It is provided with $20$ wires of $2\mathrm{.}5$ mm diameter and $40$ wires $2\mathrm{.}5$ mm diameter placed centrally in the top and bottom flange respectively. The beam has to suppor a superimposed load of $2K\frac{N}{m},$ in addition to its own weight. Determine the stress distribution for the midspan section during transfer of prestress and after the action of superimposed The initial prestress in the wires is $1200\frac{N}{m}{m}^2.$