I need the solution for this. A section at mid$-$span for a post$-$tensioned prestressed concrete beam class $2$ is shown in Fig.

Q$5.$ The beam is simply supported over a $25$ m span and carries a characteristic imposed load

of $9$ kN$/$m in addition to the self$-$weight. The beam is prestressed with four cables, two of

which are curved upwards at the support. Given that fcu,$28=50$ N$/$mm$2,$ fcu,$14=35$ N$/$mm$2,$

losses of prestress at transfer and at service load are $10\%$ & $25\%.$ Calculate:

$($a$)$ section properties;

$($b$)$ optimum section moduli at mid$-$span if the self$-$weight acts when the cables are stressed;

$($c$)$ The eccentricity of the prestressing force, to satisfy the tensile stress restraint at service

load if Pi $=2500$ kN$.$

$($d$)$ The fibre stresses at transfer and service load if the practical eccentricity ep $=440$ mm$.$

$($e$)$ With e $=440$ mm$,$ determine the limits of the prestressing force.

$($f$)$ With Pi $=2500$ kN$,$ determine the limits of the eccentricity.