| Concrete Ratio — preliminary regional trial worksheet |
| Region | United States |
| National reference context | No additional national reference selected |
| Method | ACI absolute-volume / dry-rodded coarse aggregate 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 | 27.579029172673444 | MPa |
| Strength specimen | cylinder |
| Declared strength test age | 28 | days |
| Required average strength · user supplied, unverified | Not supplied | MPa |
| Batch volume input | 0.764554857984 | m³ |
| Total free water | 180 | kg/m³ |
| Selected water/cementitious ratio | 0.45 | mass / mass |
| Total air | 6 | % 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 |
| Dry-rodded coarse aggregate bulk fraction | 0.62 | m³/m³ |
| Dry-rodded coarse aggregate density · oven dry | 1600 | kg/m³ |
| Fly ash share of cementitious mass | 0 | % |
| Slag share of cementitious mass | 0 | % |
| 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 yd³ · lb | batch · lb |
| Cement | 674.2219742223618 | 674.2219742223618 |
| Sand — as batched | 1204.739848075127 | 1204.739848075127 |
| Coarse aggregate — as batched | 1705.5119059928863 | 1705.5119059928863 |
| Water to add at mixer | 251.92707243718112 | 251.92707243718112 |
| Batch volume | 1 | yd³ |
| Total batch weight | 3836.400800727556 | lb |
| Actual water ratio | 0.45 |
| Free water kg/m3 | 180 |
| Mixer water kg/m3 | 149.46239195348107 |
|
| Constituent | Absolute m3 per m3 | Mass kg/m3 on stated basis |
| Cement | 0.12698412698412698 | 400 |
| Sand · SSD | 0.2619343915343916 | 694.1261375661376 |
| Stone · SSD | 0.37108148148148146 | 1001.92 |
| Free water outside admixture | 0.18 | 180 |
| Air | 0.06 | 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 = 0.633 m³/m³. Water density reference: 1000 kg/m³. |
| Coarse aggregate from dry-rodded bulk volume | CAOD = bulk fraction × dry-rodded density; CASSD = CAOD × (1 + absorption) | 0.620 × 1600.000 = 992.000 kg OD/m³. At 1.000% absorption → 1001.920 kg SSD/m³. Bulk volume includes particle voids; absolute volume does not. |
| Close the one-cubic-metre balance | VF = Vagg − CASSD / (1000 GCA); FASSD = VF × 1000 GFA | Sand 694.126 kg SSD/m³; coarse aggregate 1001.920 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 20.618 kg/m³ and stone 9.920 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 − 20.618 − 9.920 = 149.462 kg/m³. Multiply each ingredient by 0.765 m³. Measure workability, air, density/yield and strength; revise the trial. |
| Reference | ACI PRC-211.1-22 · proportioning guide | https://www.concrete.org/store/productdetail.aspx?ItemID=211122&Language=English |
| Reference | ACI 318 · structural requirements; project-adopted edition | https://www.concrete.org/publications/typesofpublications/standards%28codesandspecs%29/suiteofcodes.aspx |
| Reference | FHWA · absolute-volume and dry-rodded aggregate method | https://www.fhwa.dot.gov/pavement/pubs/013683.pdf |
| Reference | ASTM C39/C39M · cylinder strength testing | https://store.astm.org/c0039_c0039m-26.html |