A four-span continuous beam of constant rectangular cross section is sup- ported at A, B, C, D, and E. The factored moments resulting from analysis are as follows: At Supports, ft-kips At Midspan, ft-kips Mab 158 м, — 138 м, 3 220 M. = 200 м, — 220 М, 3 138 Mp = 138 %3D be Med 138 %3D = 158 Mae Determine the required final concrete dimensions for this beam, using d = 1.75b, and determine the reinforcement requirements at each critical moment section. Your final reinforcement ratio should not exceed = 0.6po.005. Use f, = 60,000 psi and f.' = 6000 psi.

Design Problem 1 & 2 Determine the cracking moment for the prestressed beam section shown if f'c = 35 MPa. Use a modular rupture of fr Assume normal weight concrete. = 0.621√ f'c C = 100 mm b₁ = 350 mm D = 125 mm d = 440 mm h = 500mm b₂ = 200 mm Figure 1.0 Cc 60 mm C-150 mm h, 250 mm b₁ = 250 mm b. =350 mm Figure 2.0 d 630 mm h = 700mm Ce 70 mm

A rectangular beam has the dimensions (see Figure) b = 12 in., h - 20 in, and d 17 in. and is reinforced with three No. 9 (No. 29) bars so that As - 3.00 in. The concrete compressive strength fe is 4000 psi, and the tensile strength In bending (modulus of rupture) is 475 psi. The yield point of the steel f, is 60,000 psi. Determine the concrete compression stress at the top fiber caused by a bending moment M- 10 ft-kips. 9- 6.78 in, I= 4067 in, Es= 29000000, E = 3600000 17 in. 20 in. 3 #9 bars (A, - 3.00 in.?) 3 in. -12 in- Select one: a. 390 psi b. 1390 psi c. 200 psi d. 250 psi

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