| Concrete Ratio — preliminary regional trial worksheet |
| Region | Other project location |
| National reference context | No additional national reference selected |
| Method | User-qualified absolute-volume trial worksheet |
| Engine | 1.1.0 |
| Status | Arithmetic only; strength, durability and conformity are not certified |
| Project governing specification | Not supplied |
| Exposure / project conditions | Not supplied |
| Cement identity | Illustrative cement product — replace with measured properties |
| Input / trial evidence | Not supplied; illustrative inputs |
| Specified strength | 30 | MPa |
| Strength specimen | cylinder |
| Declared strength test age | 28 | days |
| Required average strength · user supplied, unverified | Not supplied | MPa |
| Batch volume input | 1 | m³ |
| Total free water | 180 | kg/m³ |
| Selected water/cement ratio | 0.45 | mass / mass |
| Total air | 2 | % volume |
| Cement particle specific gravity | 3.15 |
| Fine aggregate SSD specific gravity | 2.65 |
| Coarse aggregate SSD specific gravity | 2.7 |
| Sand absorption | 1 | % oven-dry mass |
| Sand total moisture | 4 | % oven-dry mass |
| Stone absorption | 1 | % oven-dry mass |
| Stone total moisture | 2 | % oven-dry mass |
| Sand share of aggregate absolute volume | 38 | % |
| Admixture product dose | 0 | % cementitious mass |
| Project maximum water ratio | Not supplied |
| Project minimum cementitious content | Not supplied | kg/m³ |
| Project maximum cementitious content | Not supplied | kg/m³ |
| Project minimum air | Not supplied | % volume |
|
| Material | per m³ · kg | batch · kg |
| Cement | 400 | 400 |
| Sand — as batched | 697.8574886060035 | 697.8574886060035 |
| Coarse aggregate — as batched | 1137.7833097595476 | 1137.7833097595476 |
| Water to add at mixer | 148.71475719000472 | 148.71475719000472 |
| Batch volume | 1 | m³ |
| Total batch weight | 2384.3555555555554 | kg |
| Actual water ratio | 0.45 |
| Free water kg/m3 | 180 |
| Mixer water kg/m3 | 148.71475719000472 |
|
| Constituent | Absolute m3 per m3 | Mass kg/m3 on stated basis |
| Cement | 0.12698412698412698 | 400 |
| Sand · SSD | 0.2557460317460317 | 677.7269841269841 |
| Stone · SSD | 0.41726984126984135 | 1126.6285714285716 |
| Free water outside admixture | 0.18 | 180 |
| Air | 0.02 | 0 |
|
| Outstanding check | No strength or complete code conformity assessment |
| Water and cementitious content | B = max(W / r, supplied minimum) | 180.000 / 0.450 → 400.000 kg/m³; actual W/B = 0.450. Water demand and the strength-qualified ratio are inputs, not inferred from the grade. |
| Account for paste, liquid admixture and air | Vagg = 1 − Σ(Bj / 1000 Gj) − (W − D·u)/1000 − D/(1000 GD) − air | Admixture carries 0.000 kg/m³ water. Residual aggregate absolute volume = 0.673 m³/m³. Water density reference: 1000 kg/m³. |
| Split absolute aggregate volume | FASSD = Vagg × fine volume share × 1000 GFA; CASSD = Vagg × (1 − share) × 1000 GCA | 38.000% of aggregate absolute volume goes to sand. This is not a mass percentage or a loose-bucket ratio. |
| Close the one-cubic-metre balance | VF = Vagg − CASSD / (1000 GCA); FASSD = VF × 1000 GFA | Sand 677.727 kg SSD/m³; coarse aggregate 1126.629 kg SSD/m³. The constituent absolute volumes, including air, sum to 1 m³. |
| Correct the aggregate moisture | OD = SSD / (1 + A); wet = OD × (1 + T); surface water = OD × (T − A) | Sand contributes 20.131 kg/m³ and stone 11.155 kg/m³ free surface water. Negative values represent absorption deficits. A and T are fractions of oven-dry mass in the equation. |
| Prepare the batch and test it | Mixer water = W − admixture water − sand surface water − stone surface water | 180.000 − 0.000 − 20.131 − 11.155 = 148.715 kg/m³. Multiply each ingredient by 1.000 m³. Measure workability, air, density/yield and strength; revise the trial. |
| Reference | NRMCA · measured yield and fresh density | https://www.nrmca.org/wp-content/uploads/2021/01/08pr.pdf |
| Reference | Concrete Ratio · methods, sources and limitations | /about/ |