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A simply supported T beam has a web that is 18 inches wide and a beff= 36 inches and a height of the flange of 4 inches. It has an effective depth of 15.5 inches and carries a total factored moment (meaning the load factors and self weight are already included)Mu=450 kip feet.The concrete compressive strength is 4 ksi and the steel is grade 60 and the beam is 20 feet long. Please find the following:
a) Draw the shear force diagram for this structure. What is the slope of the shear force diagram?
b) Design the bending reinforcing steel for this beam (do not design the shear reinforcement). Check spacing and make the steel all in one row. Assume you are restricted to using #11 bars.
c) Check that the steel is yielding and the value for φand calculate φMn.
d) Assume now that this beam designed in parts (a-c) has been put into service. However, after some time one of the flanges breaks off, creating an "L" beam. Calculate if the beam will survive? Assume that the new beff the entire width of the L-beam. Use all the same material properties as were used in parts (a-c). If the beam will not survive, it is your job as an engineer to design a temporary support system. Assume you decided that the easiest way to support the beam was to install a hydraulic jack that exerted an upward force on the under side of the beam at mid span. What is the minimum upward force needed in order to ensure the beam will not fail (meaning exceed the maximum moment)?
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