Concrete Ratio — M30 trial report
Engine 1.1.0; 1 m³; Moderate exposure; reinforced concrete. Preliminary trial only.
Inputs
- grade
- 30
- exposure
- Moderate
- structure
- reinforced
- slump
- 100
- aggregateSize
- 20
- zone
- 2
- shape
- angular
- cementCurve
- 43
- ratioMode
- reference
- ratio
- 0.42
- sdMode
- assumed
- sd
- 5
- control
- good
- batch
- 1
- cementSG
- 3.15
- faSG
- 2.65
- caSG
- 2.74
- air
- 1
- pumpReduction
- 0
- flyAsh
- 0
- ggbs
- 0
- silica
- 0
- flyAshSG
- 2.2
- ggbsSG
- 2.9
- silicaSG
- 2.2
- binderIncrease
- 0
- creditSCM
- false
- waterReduction
- 20
- admixtureDose
- 1
- admixtureSG
- 1.145
- admixtureWater
- 0
- faAbsorption
- 1
- caAbsorption
- 0.5
- faMoisture
- 1
- caMoisture
- 0.5
Batch quantities
Cement: 375.543 kg
Fine aggregate (as batched): 684.646 kg
Coarse aggregate (as batched): 1,236.877 kg
Water to add at mixer: 157.728 kg
Chemical admixture: 3.755 kg
Set the target mean strength
f′ck = max(fck + 1.65S, fck + X)
max(30 + 1.65 × 5.00, 30 + 6.50) = 38.25 MPa
Assumed standard deviation 5.00 MPa. The larger margin governs; characteristic and target strengths are different. (IS 10262:2019 · 4.2, Tables 1–2)
Select and check the water/binder ratio
r = min(strength-based ratio, durability limit)
min(0.42, 0.50) = 0.42
The ratio is interpolated from approximate Figure 1 readings and rounded down to 0.01. It is a preliminary selection, not a measured strength prediction. (IS 10262 · 5.1 / IS 456 · Table 5)
Estimate the free water
W = (W₀ − shape adjustment) × slump factor × (1 − reduction)
(186 − 0) × 1.060 × 0.80 = 157.7 kg/m³
The starting water estimate is for SSD aggregates. The 3% change per 25 mm slump and admixture reduction are preliminary; actual workability must be measured. (IS 10262 · 5.3, Table 4)
Calculate and allocate the binder
B = max((W ÷ r) × trial increase, durability minimum)
max((157.73 ÷ 0.42) × 1.00, 300.00) = 375.5 kg/m³
Final w/b is 0.420 after minimum-content or trial adjustments. Replacement percentages are fractions of total binder mass. (IS 10262 · 5.4 / IS 456 · Tables 5–6)
Close the absolute-volume balance
Vagg = 1 − Vair − Σ [mᵢ ÷ (Gᵢ × 1000)]
1 − 0.0100 − 0.2802 = 0.7098 m³
Use specific gravity, not loose bulk density. Water carried inside the chemical admixture is counted once, within that product’s volume. (IS 10262 · 5.2, 5.7)
Split the aggregate volume
pCA = [p₀ + 0.2(0.50 − w/b)] × (1 − reduction)
[0.62 + 0.2 × (0.50 − 0.420)] × 1.00 = 63.6% coarse / 36.4% fine
SSD masses: fine 684.6 kg and coarse 1236.9 kg per m³. The optional reduction is a trial adjustment up to 10%, not an automatic pumpability guarantee. (IS 10262 · 5.5, Table 5)
Correct for aggregate moisture
mOD = mSSD/(1+A); Wsurface = mOD(MC−A)
Sand: 677.9 × (1−1)/100; stone: 1230.7 × (0.5−0.5)/100 = 157.7 kg/m³ mixer water
Total moisture and absorption use an oven-dry mass basis. Surface water 0.0 kg plus admixture water 0.0 kg is deducted from the free-water budget. (SSD mass balance · IS 10262 Annexes A–B)
Scale and test the trial batch
Batch quantity = quantity per m³ × batch volume
Each constituent × 1.000 m³ = 1.000 m³ trial batch
Measure workability, fresh density, yield and strength; inspect segregation and bleeding. Revise the mix and record trials before project approval. (IS 10262 · 5.8)
Checks and assumptions
Admixture water contribution is set to 0%. Enter the supplier’s measured water fraction when applicable; do not assume a liquid product is water-free.
Verify applicable code editions, material tests and project requirements. Reference graph is approximate, not measured mix performance.