Concrete Mix Ratio and Strength Calculator
ANA›Life Services Authority›National Calculator Authority›Concrete Mix Ratio and Strength Calculator
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Concrete Mix Ratio and Strength Calculator
Calculate concrete mix ratios (cement:sand:aggregate), estimate 28-day compressive strength using the Abrams' Law, and determine material quantities needed for your concrete pour.
Total Concrete Volume Required (m³)
Cement Parts (ratio)
Sand Parts (ratio)
Aggregate Parts (ratio)
Water-Cement Ratio (w/c)
Cement Bulk Density (kg/m³)
Sand Bulk Density (kg/m³)
Aggregate Bulk Density (kg/m³)
Calculate
Results will appear here.
function conCalc() { var resultDiv = document.getElementById('con-result');
var volume = parseFloat(document.getElementById('con-volume').value); var cRatio = parseFloat(document.getElementById('con-cement-ratio').value); var sRatio = parseFloat(document.getElementById('con-sand-ratio').value); var aRatio = parseFloat(document.getElementById('con-aggregate-ratio').value); var wc = parseFloat(document.getElementById('con-wc-ratio').value); var cDensity = parseFloat(document.getElementById('con-cement-density').value); var sDensity = parseFloat(document.getElementById('con-sand-density').value); var aDensity = parseFloat(document.getElementById('con-aggregate-density').value);
// --- Validation --- if (isNaN(volume) || volume ⚠ Please enter a valid concrete volume greater than 0.'; return; } if (isNaN(cRatio) || cRatio ⚠ Cement ratio must be greater than 0.'; return; } if (isNaN(sRatio) || sRatio ⚠ Sand ratio must be greater than 0.'; return; } if (isNaN(aRatio) || aRatio ⚠ Aggregate ratio must be greater than 0.'; return; } if (isNaN(wc) || wc 0.8) { resultDiv.innerHTML = '⚠ Water-cement ratio must be between 0.30 and 0.80.'; return; } if (isNaN(cDensity) || cDensity ⚠ Please enter a valid cement bulk density.'; return; } if (isNaN(sDensity) || sDensity ⚠ Please enter a valid sand bulk density.'; return; } if (isNaN(aDensity) || aDensity ⚠ Please enter a valid aggregate bulk density.'; return; }
// --- Step 1: Dry volume factor --- // Dry volume of materials is ~54% more than wet volume due to voids var dryVolume = volume * 1.54;
// --- Step 2: Total ratio parts --- var totalParts = cRatio + sRatio + aRatio;
// --- Step 3: Volume of each material (m³) --- var cVolume = (cRatio / totalParts) * dryVolume; var sVolume = (sRatio / totalParts) * dryVolume; var aVolume = (aRatio / totalParts) * dryVolume;
// --- Step 4: Mass of each material (kg) --- var cMass = cVolume * cDensity; // kg of cement var sMass = sVolume * sDensity; // kg of sand var aMass = aVolume * aDensity; // kg of aggregate var wMass = cMass * wc; // kg of water
// --- Step 5: Cement bags (1 bag = 50 kg) --- var cBags = cMass / 50.0;
// --- Step 6: Abrams' Law — 28-day compressive strength (MPa) --- // f'c = A / B^(w/c) // Standard constants: A = 96.5 MPa, B = 8.2 (for OPC, moist-cured 28 days) var A = 96.5; var B = 8.2; var fck = A / Math.pow(B, wc);
// --- Step 7: Concrete grade classification --- var grade = ""; if (fck ' + 'Mix Ratio' + '' + cRatio.toFixed(1) + ' : ' + sRatio.toFixed(1) + ' : ' + aRatio.toFixed(1) + ' (Cement : Sand : Aggregate)' + 'Wet Concrete Volume' + '' + volume.toFixed(3) + ' m³' + 'Dry Material Volume' + '' + dryVolume.toFixed(3) + ' m³ (×1.54 factor)' + 'Cement Required' + '' + cMass.toFixed(1) + ' kg (' + cBags.toFixed(2) + ' bags × 50 kg)' + 'Sand Required' + '' + sMass.toFixed(1) + ' kg (' + sVolume.toFixed(3) + ' m³)' + 'Aggregate Required' + '' + aMass.toFixed(1) + ' kg (' + aVolume.toFixed(3) + ' m³)' + 'Water Required' + '' + wMass.toFixed(1) + ' kg (' + wMass.toFixed(1) + ' litres)' + 'Water-Cement Ratio' + '' + wc.toFixed(2) + ' — ' + wcNote + '' + 'Est. 28-Day Compressive Strength' + '' + fck.toFixed(1) + ' MPa' + 'Concrete Grade' + '' + grade + '' + ''; }
#### Formulas Used
1. Dry Volume of Materials:
Dry Volume = Wet Volume × 1.54
The 1.54 factor accounts for the ~54% increase in volume due to voids in dry materials that compact when mixed with water.
2. Volume of Each Component:
Vcement = (C / (C+S+A)) × Dry Volume
Vsand = (S / (C+S+A)) × Dry Volume
Vaggregate = (A / (C+S+A)) × Dry Volume
3. Mass of Each Component:
Mass = Volume × Bulk Density
Water Mass (kg) = Cement Mass × w/c ratio
4. Abrams' Law — 28-Day Compressive Strength:
f'c = A / B(w/c)
Where: A = 96.5 MPa, B = 8.2 (constants for Ordinary Portland Cement, moist-cured 28 days)
f'c = Characteristic compressive strength at 28 days (MPa)
w/c = Water-to-cement ratio by mass
#### Assumptions & References
- References: Abrams, D.A. (1919). Design of Concrete Mixtures. Structural Materials Research Laboratory; IS 456:2000 (Indian Standard for Plain and Reinforced Concrete); ACI 211.1 (Standard Practice for Selecting Proportions for Normal Concrete).
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