H$.$W No$\mathrm{.}1$: A pretension beam is to carry a superimposed dead load of $8\mathrm{.}75k\frac{N}{m},$ self$-$weight of $9\mathrm{.}46k\frac{N}{m}$ and service live load of $175k\frac{N}{m}$ an a $16\mathrm{.}8m$ simple span. Asymmetrical I$-$section with $b=0\mathrm{.}5h$ will be used. Flange thickness $h_f=0\mathrm{.}2h$ and web width $b_w=0\mathrm{.}4b.$ The member will be prestressed using strands having $f_{pu}=1862$MPa. Time dependent losses are estimated at $20\%$ of $P_i,f_c=34\mathrm{.}5$MPa,$f_{ci}=20\mathrm{.}7$MPa. Using straight strands, find the required concrete dimensions, prestress force and eccentricity. Select on appropriate No$.$ of $12\mathrm{.}7mm$;$7$ wire strand $(92\mathrm{.}9m{m}^2$ for each strand$)$