Design a simply supported pre-stressed beam (15 m) long to carry a super imposed load D.L. = ...kg/m.r and a service load of 1000 kg/m.r in addition to its own weight with f'_c = 450 kg/cm^2 at the...

Design a simply supported pre-stressed beam (15 m) long to carry a super imposed load D.L. = ...kg/m.r and a service load of 1000 kg/m.r in addition to its own weight with f'_c = 450 kg/cm^2 at the time of tensioning the initial compressing strength f'_ci = 400 kg/cm^2 using bars of pre-stressing steel of f_pu = 10000 kg/cm^2 assume the losses will result in an effectiveness ratio R = 0.8 a) Design the beam with variable eccentricity (e) b) Design the beam with constant eccentricity c) Compare the results