Design a 20-inch wide reinforced concrete rectangular beam having a simple span length of 32 ft, Wp=2 k/ft (not including beam weight), WL=1.8 k/ft and p=1/2 pb , using the following: 1- Assume beam weight=640 Ib/ft; 2- Round up the value of “d" to the nearest 0.5 inches, and use h=d+2.5; 3- Use #10 for beam reinforcement; fy=60,000 psi, f'c=4000 psi; 4- Assume concrete weight=150 lb/ft3 Show sketch of beam cross section and dimensions, including bar sizes, arrangement, and spacing. Be neat.

*Subject: Reinforced prestressed concrete - Civil Engineering *Please refer for my attached formula or guidelines solve this problem *The fy=276 should multiply the (0.4+fy/700) since states other fy=415 ; t=L/10 x (0.4+fy/700)   A one way cantilever slab having a simple span of 2.0 m. The slab is to carry a uniform dead load of 2.5 KPa and uniform live load of 1.5 Kpa. Fc’=27.6 MPA, fy= 276 MPA for for main bars and temperature bars. Concrete weighs is  23.5 kN/m3. Determine the spacing of the main bars and also kindly explain why you use factor  (1.2D + 1.6L) or D + L if are require in this problem.   Note: Please don’t forget to explain thank you, since there is no Design term in this problem or correct me what should it use if need to factor 1.2D + 1.6 L or just add  Dead load with weight of the beam and the live load.

I am trying to figure out which equations were used to solve this problem.