EA102
American Concrete Association (ACI) Absolute Volume Method of Concrete Mix Design
EXAMPLE ACI MIX DESIGN Mix Component Properties: Type: 10 Specific Gravity: 3.155
Cement
Coarse Aggregate
Fine Aggregate
Nominal Maximum Particle Size: SSD Bulk Specific Gravity: % Absorption Capacity: Dry-Rodded Density:
10 mm 2.660 3.50% 1.530 Mg/m3
SSD Bulk Specific Gravity: 2.700 % Absorption Capacity: 1.50% Fineness Modulus: 2.700
Desired Mix Properties: A 30 kg batch on non-air-entrained concrete with a slump in the 80 to 100 mm range and a water/cement ratio of 0.5 is required. SOLUTION: 1. Determine densities of all materials to be used: Specific Material Gravity Water 1.0 Cement 3.155 SSD Fine Aggregate 2.700 SSD Coarse Aggregate 2.660 Dry-Rodded Coarse Aggregate 2.
ρ =
G x ρw x ρw =
Density (kg/m3)
x 1000 = x 1000 = x 1000 = x 1000 =
1000 3155 2700 2660 1530
Mass of mixing water in water in 1 m3 of mix = 228 kg = 0.228 m3
(Table 4a for non-air-entrained, non-air-entrained, Nominal Maximum size = 10mm and slump between 80 & 100 mm)
3. Volume of air in air in 1 m3 of mix is 3.00% of 1 m 3 or 0.030 m3 (Table 4c for non-air-entrained, Nominal Maximum size = 10mm)
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4. If
w c
0.5, then c
w 0.5
The volume of cement
228 kg 456 kg The mass of cement required = 456 kg 0.5 456 kg The volume of cement required = 0.145 m3 3 3155 kg/m
5. Volume of dry-rodded coarse aggregate = 0.47 m3 (Table 3 for Nominal Maximum size = 10 mm and fineness modulus of 2.70)
6. SSD mass of coarse aggregate = 0.47 m3 x 1530 kg/m3 = 719 kg SSD volume of coarse aggregate
719 kg 2660 kg/m 3
= 0.270 m3
7. Sum of known volumes = (0.228 + 0.030 + 0.145 + 0.270) m 3 = 0.673 m3 SSD volume of fine aggregate = 1 – 0.673 m3 = 0.327 m3 SSD mass of fine aggregate = 0.327 m3 x 2700 kg/m3 = 883 kg 8. Total mass of 1 m3 of mix = (228 + 456 + 719 + 883) kg = 2286 kg/m3 The proportioning factor
2286 kg 30 kg
= 76.2
Each mass for the 1 m3 of mix is then divided by this factor: Materials Cement Water Coarse Aggregate Fine Aggregate Air Totals
Mass (kg/m3) 456 228 719 883
Volume (m3) 0.145 0.228 0.270 0.327 0.030 1.000
2286
SSD Mix Masses (kg) 5.984 2.992 9.436 11.588 30.000
NOTE: The information in this table should appear in the table on Datasheet 7.5. Do not present it twice!
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