Problem Solving (ACI Mix Design. 20 pts) You are to design the concrete mix proportion for concrete foundations (single

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Problem Solving (ACI Mix Design. 20 pts) You are to design the concrete mix proportion for concrete foundations (single footing) in a residential project in Pampanga, with a required 28-day design strength of 5000 psi. Maximum aggregate size to be used is inch, and the allowed slump is 3-4 inches. Use conversion factor 1 yd - 3 ft. Required: Determine the mixture proportions of water, coment, coarse aggregate, and fine aggregate in terms of tb/yd", as well as air content in % Express final answers in two decimal places Material Properties: Cement: Type I, Specific Gravity (SSD) = 3.15 Gravel: Bulk Specific Gravity (SSD) - 2.59, Dry Rodded unit weight = 105.4 1b/ft?. Absorption Capacity 0.89% Surface Moisture 0.00 % River Sand: Bulk Specific Gravity (SSD) = 2.61. Absorption Capacity 2.30%, Surface Moisture 0.00%, Fineness Modulus 2.70 Tabla of Values
Air Content and Water Content (lb/yd) For Non Air Entrained Concrete: Maximum Aggregate Size (in.) Slump (in.) 0.375 0.5 0.75 1 1.5 2. 2 3 3 6 1 to 2 350 335 315 300 275 260 220 190 3 to 4 385 365 340 325 300 285 245 210 6 to 7 410 385 360 340 315 300 270 Air content 3.0% 2.5% 2.0% 1.5% 1.0% 0.5% 0.3% 0.29 For Air Entrained Concrete:
For Air Entrained Concrete: Maximum Aggregate Size (in.) Slump (in.) 0.375 0.5 0.75 1 1.5 N البا 6 1 to 2 305 295 280 270 250 240 225 180 3 to 4 340 325 305 295 275 265 250 200 6 to 7 365 345 325 310 290 280 270 Air Content Mild 4.5% 40% 3.5% 3.0% 2.596 20% 1.5% 1.0% Moderate 6.0% 5.5% 5.0% 4.5% 4,5% 4.0% 3.5% 3,0% Extreme 7572096% 40% 5.5 50% 45 10
Extreme 7.5% 7,0% 6.0% 6.0% 5.5% 50% 4,5% 40% W/C ratio 28-day Compressive Strength (psi) Non-AE AE 2000 0.82 0.74 3000 0.68 0.59 4000 0.57 0.48 5000 0.48 0.40 6000 0.41 0.32 7000 0.33
Fineness Modulus Max Aggregate 2.4 (in.) 2.5 2.6 2.7 28 29 3 0.375 0.50 0.49 0.48 0.47 0.46 0.48 0.44 0.500 0.59 0.58 0.57 0.56 0.55 0.54 0.53 0.750 0.66 0.65 0.64 0.63 0.62 0.61 0.60 1.000 0.71 0.70 0.69 0.68 0.67 0.66 0.65 1.500 0.75 0.74 0.73 0.72 0.71 0.70 0.69 2.000 0.78 0.77 0.76 0.75 0.74 0.73 0.72 3.000 0.82 0.81 0.80 0.79 0.78 0.77 0.76 6.000 0.87 0.86 0.85 0.84 0.83 0.82 0.81