A pretensioned prestressed beam has a rectangular cross section of 6 in. width and 20 in. total depth. It is built using normal-density concrete with a specified strength f! are as follows: f; = 165 psi, fe = -1800 psi, f, = = -1800 psi. The effectiveness ratio R may be assumed equal to 0.80. For these conditions, find the initial prestress force P; and eccentricity e to maximize the superim- posed load moment Ma + M, that can be carried without exceeding the stress limits. What uniformly distributed load can be carried on a 30 ft simple span? What tendon profile would vou recommend? = 4000 psi and a strength at transfer of f = 3000 psi. Stress limits 475 psi, and fes

The cross section of a reinforced concrete beam is shown below .( 5 - No . 10 bars )are designed as the bottom bars and No. 3 stirrups as the vertical reinforcement . Considering a clear cover thickness = 1.5 in , sketch the layout of reinforcement and show bar spacings per AC1318-19 . Assume maximum aggregate size = 1 in and the minimum required effective depth of bottom bars = 20 inches .

A rectangular reinforced concrete beam has a length of 14 m is simply supported atboth ends. The width of beam is 350mm and the overall depth is 550  mm. Determine the area of the steel reinforcements if the beam is to carry a DL = 15kN/m and LL =18kN/m. The concrete strength fc = 25  and steel yield fy = 400 ������. Use 60 mm concretecover.

If column AB is made from high strength pre-castconcrete and reinforced with four 20 mm diameter A-36steel rods, determine the maximum allowable floorloadings P. The allowable normal stress for the highstrength concrete and the steel are (ϭallow)con = 18 MPaand (ϭallow)st= 170 MPa, respectively.