$2\mathrm{.}2.$ A pretensioned prestressed beam has a rectangular cross section of $150mm$ width and $500mm$ total depth. It is built using normal$-$density concrete with a specified strength $f_c^{\text{'}}=28$MPa and a strength at transfer of $f_{c1}^{\text{'}}=21$MPa. Stress limits are as follows: $f_{1i}=1\mathrm{.}15$MPa,$f_{cl}=-12\mathrm{.}4$MPa,$f_{ts}=3\mathrm{.}27$MPa, and $f_{cs}=-12\mathrm{.}4$MPa. The losses may be assumed equal to $20\%.$ For these conditions, find the initial prestress force $P_i$ and eccentricity $e$ to maximize the superimposed load moment $M_d+M_l$ that can be carried without exceeding the stress limits$.$ What uniformly distributed load can be carried on a $9m$ simple span? What tendon profile would you recommend? Pleae solve this civil engineering question in detail, dont just give explanations solve it and draw the sketch too and i'll give a like