Authoritative methodology and guidance
Data Source and Methodology
Authoritative Data Sources
- ACI 212.3R-16 — Report on Chemical Admixtures for Concrete (American Concrete Institute). Published 2016. https://www.concrete.org/publications/internationalconcreteabstractsportal/m/details/id/51689189
- ASTM C494/C494M — Standard Specification for Chemical Admixtures for Concrete (ASTM International). Latest edition. https://www.astm.org/c0494_c0494m-19.html
Tutti i calcoli si basano rigorosamente sulle formule e sui dati forniti da questa fonte.
The Formula Explained
Let \(V\) = concrete volume, \(C\) = cementitious content per unit volume, \(M_c\) = total cementitious mass, \(p\) = admixture percentage of cement, \(\rho\) = admixture density.
Total cementitious mass: \( M_c = V \times C \)
Percent of cement (bwoc): \( M_a = \frac{p}{100}\, M_c \), and \( V_a = \frac{M_a}{\rho} \)
Per 100 kg/lb of cement: \( V_a = d \times \frac{M_c}{100} \) where \(d\) is in mL/100 kg or fl oz/100 lb; \( M_a = \rho\, V_a \)
Per unit volume: \( V_a = u \times V \) where \(u\) is in L/m^3 or fl oz/yd^3; \( M_a = \rho\, V_a \)
Glossary of Inputs and Results
- Concrete volume — Total placed volume to be batched (m³ or yd³).
- Cementitious content per unit volume — Mass of cement + SCMs per m³ or yd³ (kg/m³ or lb/yd³).
- Admixture density — Product density for mass/volume conversion (kg/L or lb/gal).
- % of cement (bwoc) — Dosage as percent of cementitious mass.
- Per 100 kg/lb — Manufacturer-specified dose per 100 kg (or 100 lb) of cement.
- Per unit volume — Fixed admixture amount per m³ or yd³ of concrete.
- Total cementitious mass — Computed total cement/binder mass for the selected volume.
- Admixture mass — Total mass of admixture required.
- Admixture volume — Total volume of admixture required.
How It Works: A Step-by-Step Example
Suppose a slab pour of \(V=8\ \text{m}^3\) with cementitious content \(C=350\ \text{kg/m}^3\). A water-reducing admixture is specified at \(p=1.0\%\) bwoc, and density \(\rho=1.05\ \text{kg/L}\).
- Total cementitious mass: \(M_c = 8 \times 350 = 2{,}800\ \text{kg}\).
- Admixture mass: \(M_a = 0.01 \times 2{,}800 = 28\ \text{kg}\).
- Admixture volume: \(V_a = \frac{28}{1.05} \approx 26.67\ \text{L}\).
In practice, round to your plant’s batching resolution and follow product datasheet limits per ACI 212.3R/ASTM C494.
Frequently Asked Questions (FAQ)
What is “bwoc”?
“By weight of cement” indicates dosage expressed as a percentage of the cementitious mass in the mix.
Should SCMs be included in cementitious content?
Yes, if the admixture dosage is specified relative to total binder, include SCMs (e.g., fly ash, slag, silica fume) in the cementitious content.
How do I select the right method?
Use “% of cement” when dosage is specified as a percentage by mass, “per 100 kg/lb” when the datasheet gives mL/100 kg or fl oz/100 lb, and “per unit volume” for fixed L/m³ or fl oz/yd³ directions.
What if I don’t know density?
You can still compute mass (percent method) or volume (per-100/per-volume methods). Provide density only to convert between mass and volume precisely.
Are the results batch-ready?
They are theoretical totals. Always apply your plant’s calibration, batching tolerances, and quality procedures, and stay within datasheet limits.
Can I mix unit systems?
No. Select one unit system (Metric or US). The tool will adapt labels and calculations consistently.
What ranges are typical for water reducers?
Common ranges are roughly 0.2–1.0% bwoc, but always follow the specific manufacturer datasheet and applicable standards.