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

Given the concrete (f c=6000 psi) I-beam shown in Figure 1 for the given loading: -draw the shear & moment diagrams -determine Vmax & Mmax -using ASD (Allowable Stress Design) method, check to see if the given loading produces stresses within the given allowable range (check both Omax & Vmax) Using ACI 318-99, allowable stresses are -for flexure, f = .45f'c -for shear, v. = 1.1√f. (HINTS: 8² -note that the beam is symmetric about both axes -Ix for a triangle is (1/36)bh³+Ad² ) 30 kips 16' 10 kip/ft 22' 20 kips 3'-4' -1-6 -1'-6" Figure 1 1'-

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