BCN 4431 Spring 2019 Due: April 19, 2019 at 5:00 PM Homework 3 INSTRUCTIONS: All the steps must be clearly shown. Whenever a value or any other information comes from book or code, table number and/or page number should be clearly mentioned. If any value that you need for calculations is not given, assume and state the basis of your assumption (based on book, reasoning etc.). (If your PID is “5684659”, then A = 5, B = 6, C = 8, D = 4, E = 6, F = 5 and G = 9. Interpret 4.G as 4.9 in this example) 1. (5 points) Determine Mn for a beam of cross section shown in figure 1, where f’c = 4 ksi. Assume fy = 60 ksi. Calculate the strain on steel when the concrete strain is 0.003 and compare it with yield strain of steel. Es = 29×103 ksi Figure 1 1 2. (5 points) Determine if the beam shown in the figure is adequate as governed by the ACI Code (318-11). The loads shown are service loads. The uniformly distributed load is DL = 0.65 + 0.F = _________ kip/ft, LL = 0.55 + 0.E = ________ kip/ft. The dead load excludes the beam weight. The point load is a live load. f’c = 3,000 psi, fy = 40,000 psi. In case you find that the section is not tension-controlled, use the closest value of ݇. ONLY FOR THE SAKE OF SIMPLIFYING THIS PROBLEM, SHOULD NOT BE FOLLOWED ELSEWHERE. 2 …
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