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Solve problem with the following modifications. Do not worry about section g. f' = 5500 psi, f' = 4000psi, o' = 2300psi, live load
Solve problem with the following modifications. Do not worry about section g. f' = 5500 psi, f' = 4000psi, o' = 2300psi, live load equal to 80 psf. 4.7 AT beam (Fig. P4.7) supports in addition to its own weight a live load of 60 psf. The following information is provided: f = 6000 psi; f = 4500 psi; = -201 psi; = 2700 psi; 18=-465 psi; csus = 2700 psi; cs = 3600 psi; n = 0.80; (de)min = 3 in; (eo) mp = yb-3 in; Ye = 150 pcf;fpu = 270 ksi; fpe = 151 ksi; final effective force of 1 strand = 23.1 kips. Assume stress-relieved bonded strands. (a) Assuming you are told there is a wide feasibility domain for F and e, determine the value of F necessary at midspan. Round off its value to the nearest integer number of strands. Check that all stresses are within allowable limits. (b) Determine graphically the feasibility domain for the beam and find graphically the value of F (Use graph paper). This should lead to the same answer as in (a). (c) Assuming the eccentricity is fixed at e = y - (de)min, what is the maximum value of F that the beam can be subjected to, without any of the allowable stresses being exceeded? Figure P4.7 3 in 17 in 40 ft 36 in 6 in (d) Let us assume that the live load is not specified. Assuming the eccentricity is fixed at e = yb - (de)mins what is the maximum value of live load and corresponding F that can be applied to the beam (from a working stress design approach in flexure only). Going back to question (a): (e) Determine the two limits of the limit kern. Determine the upper and lower limits of the steel envelopes at every tenth of the span. (g) Suggest a profile for the center of gravity of the prestressing steel along the beam. Show midspan as well as end cross section details.
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