Chapter 12, Problem 12.2PFS

A 6m simply supported beam is loaded with a 12 kN-m concentrated moment placed 2m from the left support and a concentrated load of 24 kN located 2m from the right support. The flexural rigidity of the beam is EI. Calculate the slope of the tangent at the left support. Determine the rotation at the right support. Find the deflection at the point of application of concentrated moment. What is the maximum deflection of the beam?

GROUP 1 Design a simply supported prestressed beam to support a parking space with a harped tendon using the ACI 318 Building Code allowable stresses. The span length will be decided by the pair. The pair has to choose a suitable sustained service live load (from 300-1500plf) and superimposed dead load (50-150plf) and has no concrete topping. Assume the beam is made of normal-weight concrete with fc'= 5,000 psi and that the concrete strength f'ci at transfer is 70 percent of the cylinder strength. . Also, the pair must assume a justifiable time-dependent loss. • Assume that that fu = 260,000 psi for stress-relieved tendons, ft = 12sqrt(fc'). THE PAIR MUST BE ABLE TO DEFEND THE LENGTH OF BEAM, AND THE LOADINGS APPLIED ON THE BEAM. DEFEND THE USAGE OF YOUR SELECTED SECTION TYPE

A trapezoidal drainage ditch along a highway system has a side slope of 2:1 anda bottom width of 8.0 ft. The ditch is to be used to discharge a flow of 500 ft3/sec.If the ditch slope (longitudinal) is 1.0% and the Manning coefficient is 0.02,determine the minimum depth required for the ditch. Is the flow supercritical orsubcritical? Justify your answer.