コンクリート・モルタル配合・必要量計算機 - 無料オンライン計算ツール

打設スラブの縦・横・厚さから必要なコンクリート体積(立米・m³)とセメント・砂・砂利の配合量を計算。

What is a concrete mix ratio, and why does it matter?

Concrete is made by mixing cement, sand, and coarse aggregate (gravel or crushed stone) with water. The ratio between them (such as 1:1.5:3) determines how strong the finished concrete will be. In India this is defined under IS 456:2000 (Plain and Reinforced Concrete - Code of Practice) as a "nominal mix" for grades M5 through M25, where the number after "M" indicates the minimum compressive strength in N/mm² (megapascals) after 28 days of curing.

Important caution: IS 456:2000 Table 9 officially defines nominal mix ratios only up to M20. For M25 and above, the code calls for a "design mix" (per IS 10262, which requires laboratory trial batching), because a fixed nominal ratio cannot reliably guarantee consistent strength at higher grades. The M25 (1:1:2) ratio offered by this calculator is a widely-used approximate ratio, but it is not a code-compliant "nominal mix" entry. For columns, beams, or any load-bearing element, always have a structural engineer confirm the correct design mix before construction.

Formula & Standards Citation Box (IS 456:2000)

This calculator uses standard civil engineering formulas based on IS 456:2000.

Wet Volume
Wet Volume = Length × Width × Thickness
Dry Volume Factor
Dry Volume = Wet Volume × 1.54
Cement Volume
Cement Volume = Dry Volume × (Cement Share / Total Parts)
Cement Bags (50 kg)
Cement Bags = Cement Volume / 0.0347 m³ (at 1440 kg/m³ density)
Sand Weight
Sand (tons) = Sand Volume × 1.6
Coarse Aggregate
Aggregate (tons) = Aggregate Volume × 1.5

Why the 1.54 dry-volume factor? In their loose, dry state, cement, sand, and aggregate particles have roughly 35-54% air voids between them. Adding water and compacting fills these voids, so about 1.54 m³ of dry material is needed to produce 1 m³ of finished, placed concrete. Source: Bureau of Indian Standards - IS 456:2000, Table 9 (Clauses 9.3 and 9.3.1).

Step-by-Step Calculation Example (Default Inputs)

ステップごとの計算例

Default inputs: Length 5.0 m, Width 4.0 m, Thickness 0.15 m, Grade M20 (1:1.5:3)

1
Calculate Wet Volume5 × 4 × 0.15 = 3.0 m³
2
Apply Dry Volume Factor (1.54)3.0 × 1.54 = 4.62 m³
3
Calculate Total Ratio Parts (C + S + A)1 + 1.5 + 3 = 5.5 parts
4
Compute Cement Volume4.62 × (1 / 5.5) = 0.84 m³
5
Compute 50kg Cement Bags Required0.84 / 0.0347 ≈ 24.2 → rounded up to 25 bags
6
Compute Sand Requirement4.62 × (1.5 / 5.5) = 1.26 m³ → 1.26 × 1.6 ≈ 2.02 tons
7
Compute Aggregate Requirement4.62 × (3 / 5.5) = 2.52 m³ → 2.52 × 1.5 ≈ 3.78 tons
Conclusion:For this 5m × 4m slab at 0.15m thickness, approximately 25 bags of cement, 2.02 tons of sand, and 3.78 tons of aggregate are required. Remember to add a 5-10% allowance for site wastage.
詳しい解説

This calculator gives a "nominal mix", not a "design mix" - and the difference can genuinely matter for safety

A nominal mix is a fixed ratio, designed for small, low-risk work (such as boundary walls, the PCC layer under a foundation, or non-structural flooring) without laboratory testing.

On a real site, cement quality, sand moisture, aggregate size, and weather all affect final strength - none of which a fixed ratio accounts for. That's precisely why IS 456:2000 itself requires a design mix above M20, especially for any load-bearing element such as columns, beams, or multi-storey slabs.

Most multi-storey buildings today source M25-and-above concrete as design-mix from a ready-mix concrete (RMC) plant, rather than hand-mixing a nominal ratio on site.

Second, this calculator does not add a wastage allowance - on a real site, spillage, mixer residue, and formwork loss typically add 5-10% extra material use, so factor that in separately when ordering.

Concrete Mix Grades, Proportions & Standards (IS 456:2000)

M151 : 2 : 4
Typical Application: PCC layer under foundations, non-structural work
IS 456 Status: Nominal mix (Table 9)
M201 : 1.5 : 3
Typical Application: Residential RCC: slabs, beams, standard columns
IS 456 Status: Nominal mix (Table 9) - minimum for RCC
M251 : 1 : 2
Typical Application: Taller buildings, heavy columns, seismic zones
IS 456 Status: ⚠️ Outside Table 9 - design mix required
Note: M20 is the statutory minimum standard for residential RCC roof slabs under Indian codes. Always consult a certified structural engineer for load-bearing calculations.
よくある質問(FAQ)

Frequently Asked Questions (FAQ)

What is the difference between M15, M20, and M25?

The number represents the characteristic 28-day compressive strength in N/mm² (MPa). M15 is the lowest strength, M25 the highest among these three. M20 is recognized as the minimum grade for reinforced concrete (RCC) structural elements in residential housing.

Which concrete grade should I use for a roof slab?

Typically M20 (1:1.5:3) is specified for residential slabs, but the final specification must always come from a licensed structural engineer's structural drawing, never an online estimator alone.

Is the 1.54 dry-volume factor always the same?

Approximately. In real conditions, it ranges between 1.50 and 1.57 depending on aggregate grading and moisture content. 1.54 is the standard accepted civil engineering average factor.

Can M25 concrete be mixed on-site without lab tests?

Generally no. Under IS 456:2000, any concrete grade exceeding M20 requires an engineered design mix (IS 10262) verified through laboratory trial batching. The 1:1:2 ratio shown here is an approximation, not an official nominal mix code entry.

Does this calculator include wastage in the result?

No. The calculation gives theoretical net solid volume. Always add 5-10% extra material when ordering to account for spillage, mixer losses, and formwork deflection.

Sources & Civil Engineering References

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