Quantities & take-off

Concrete Volume & Mix

Volumes for twelve elements from footings to ribbed slabs and stairs, with wastage, cement bags, sand and aggregate, a steel estimate and an indicative cost.

IS 10067ACI 211.1Metric

Element volumes are closed-form geometry you can repeat on paper; a ribbed slab deducts the whole blocks that fit between edge ribs and casts any leftover strip solid. Nominal-mix materials come from IS 10067:1982 Table 2, per cubic metre of finished concrete, raised by 5% or 7% for crushed aggregate as its note requires. A design mix takes cement = 205 kg/m³ water ÷ w/cm, with w/cm read from PCA Table 9-3 (adapted from ACI 211.1) at the required average strength f′cr.

Element and dimensions

Mix and supply

Market prices (editable)

The default prices below are carried over from the previous build; enter your supplier's rates.

Mix proportions

Quantities

Net volume—
Volume with wastage—
Reinforcement—
Cost at the prices entered—

Cumulative quantity schedule

#ElementDimensions Mixm³ BagsSand m³ Agg m³Steel kg SARRemove line

No lines yet: calculate an element, then add it.

Units: dimensions in metres unless stated, rib and block dimensions in millimetres. Volumes are shown to two decimals; cement bags are rounded UP to a whole bag on each line because that is how they are bought, and the bag total is the sum of the lines; other materials to two decimals. Wastage is applied to the concrete, not to the steel.

Convert units: Structural & steel

Questions engineers ask

Why is there no 1.54 dry-volume factor?

Because it was searched for in IS 456, IS 10067, ACI 211.1 and the PCA manual and appears in none of them. It is not needed here: IS 10067 Table 2 already publishes quantities per cubic metre of finished concrete. At a cement bulk density of 1440 kg/m³ the cement quantities of that table imply a factor of 1.36 to 1.44, so using 1.54 over-orders cement by roughly 7 to 14%.

Why does crushed aggregate change the nominal-mix quantities?

IS 10067 Table 2 is written for shingle, and its note requires the constants to be increased by 5% for leaner and 7% for richer mixes when crushed aggregate is used. The standard does not draw the line, so the tool takes 1:1:2, 1:1½:3 and 1:2:4 as rich (+7%) and 1:3:6 and 1:4:8 as lean (+5%), and applies the increase to cement, sand and aggregate alike. Crushed stone is the default; natural gravel uses the table as printed.

How is the cement of a design mix obtained?

As water ÷ w/cm. Water is 205 kg/m³ from PCA Table 9-5 (19 mm aggregate, 75–100 mm slump, non-air-entrained). The w/cm is interpolated in PCA Table 9-3 at the required average strength, not at f′c: with no test record f′cr = f′c + 8.5 MPa, which gives about 418, 471 and 523 kg/m³ for f′c 25, 30 and 35 MPa. Table 9-3 ends at 45 MPa, so 40 MPa and above are not offered. Sand and aggregate are not published for a design mix and are left blank.

How are the ribbed slab and the stair flight measured?

The ribbed slab is one-way with ribs along its length: the gross slab less the whole blocks that fit across the width between an edge rib on each side, with any leftover strip taken as solid concrete; the tool reports the ribs, blocks and strip. The stair is the waist slab on its slope length plus a triangle per step, and a slope length more than 5% away from steps × √(riser² + tread²) is flagged.

Is M20 the same as 1:1½:3?

That mapping is trade convention, not code. IS 456:2000 Table 9 proportions nominal mix concrete BY MASS (total dry aggregate per 50 kg of cement) not by the volumetric ratios everyone quotes, and cl. 9.3 limits nominal mixes to M20 and below. The grade shown beside each mix here is labelled as the convention it is, and choosing 1:1:2 raises a warning.

What usually governs a concrete mix in the Gulf?

Durability, not strength. SBC 304 Tables 4.3.1 and 4.4.2 set a minimum cementitious content, a maximum w/cm and a minimum grade against sulfate and chloride exposure: 350 kg/m³ at w/cm 0.45 for severe sulfate, 370 kg/m³ at 0.40 for very severe chloride, and w/cm ≤ 0.35 in sabkha. Those often govern over a strength-based mix, and this tool does not check them.

Are the material prices real rates?

No, and the tool says so where they appear. Cement, sand, aggregate, ready-mix, rebar and pumping rates were carried over from the previous build of this site; they are not owner-approved and carry no review date. Enter your own supplier's rate. A site-batched cost is not given for a design mix, because its sand and aggregate quantities are not published.

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Structural design

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