Materials & Quantities

Concrete Relative Yield Calculator (ASTM C138)

Check whether a concrete batch actually produced its designed volume, per ASTM C138's relative yield check.

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  • Every formula cited
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Imperial · sales tax
The total mass of all ingredients in the batch.

Sum of cement, water, aggregates, and admixture masses.

The batch's measured unit weight, from an ASTM C138 unit weight test.

See the Concrete Unit Weight Calculator.

The volume the mix design was intended to produce.

One cubic metre is the usual metric design batch; a US mix design is written per cubic yard, which is 0.765 m³.

Relative yield

1.07 (ratio, target 1.0)

Medium confidence

The batch produced MORE volume than designed — the mix may be under-yielding on materials relative to the design, or air content is higher than assumed.

Actual yield
1.34 yd³
Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • ASTM C138 relative yield: actual yield = total batch mass / measured unit weight; relative yield = actual yield / design volume (should be close to 1.0)

Inputs used

Total Batch Mass
5290 lb
Measured Unit Weight
146.71 pcf
Design Batch Volume
1.25 yd³

Intermediate steps

Actual yield
1.34 yd³
Final result1.07 (ratio, target 1.0)

Confidence note: The batch produced MORE volume than designed — the mix may be under-yielding on materials relative to the design, or air content is higher than assumed.

What this calculation does not cover

  • A relative yield of 0.96 or 1.03 tells you the batch missed its design volume; it does not tell you why. Air content, aggregate moisture, scale calibration and admixture dosage all move yield, and none of them are inputs here — this flags the symptom and leaves the diagnosis to the air meter, the moisture test and the batch records.
  • This is a volume check, not an acceptance test. A batch can land at 1.00 relative yield and still fail its specified strength, slump or air content, and none of those are evaluated here.
  • The total batch mass is taken as entered and never verified. It has to be the mass actually batched, with free moisture on the aggregates included — enter the mix design's SSD proportions instead of the batch ticket's real weights and the yield error is invisible to this calculation.
  • One unit weight sample, one batch. Yield varies within a load and between loads, and nothing here allows for that variation, for the calibration of the measure the sample was struck off in, or for how well the sample was consolidated.
  • The ±2% window used to pass or fail the result is a common working rule, not an acceptance clause — ASTM C138 gives the yield computation, not a tolerance. Whether you were delivered the volume you paid for is settled under the delivery tolerance in the purchase specification, not by this ratio.

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-09-03 · in the site-wide review of 2026-09-06 · v1.1.1

Regulatory standards & verification citations1
  1. ASTM C138 relative yield: actual yield = total batch mass / measured unit weight; relative yield = actual yield / design volume (should be close to 1.0)

Which documents these citations point at

Standards referenced: ASTM C138 (ASTM International, United States).

Cite this page

Your workspace

Most jobs need more than one number. Add the calculators you need next and they open right here, underneath this one — your figures stay on screen and nothing is lost to a page change.

Tools and safety for this job

To place and finish concrete, erect formwork and saw-cut cured concrete. Generic types, no brands, no prices.

Protection this work requires

  • Cutting or grinding concrete, masonry, screed, tile or fibre-cement board releases respirable silica: cut wet or extract at the tool, and wear a P2/N95 respirator at minimum — a nuisance dust mask does not filter it.
  • Hardwood dust is a recognised carcinogen: extract at the tool and wear a P2/N95 respirator when cutting or sanding indoors.
  • Wet cement and lime burn skin and eyes painlessly until the damage is done: waterproof gloves to EN 374, safety glasses whenever the mix can splash, and never kneel in wet mix in permeable trousers.
  • Saws, grinders and breakers run above 85 dB, where hearing damage accumulates and does not recover: defenders or plugs for every cut, not just the long ones.
  • Breakers and grinders cause permanent nerve damage: limit continuous trigger time, keep hands warm, and stop if fingers tingle or blanch.
  • Boards, blocks and bagged material cause most lasting back injuries on small sites: two people or a lifter for full sheets, and never a bag on one shoulder up a ladder.
Show the 17 tools this job needs

Essential

  • Angle grinder

  • Bull float and edger

  • Circular saw

  • Claw hammer

  • Dust extractor or vacuum with a fine filter

  • Screed bar or rail

  • Shovel and spade

  • Spirit level

  • String line and pins

  • Tape measure

  • Wheelbarrow

Recommended

  • Chalk line

  • Cordless drill/driver

  • Floor or cut-off saw

  • Plate compactor

  • SDS rotary hammer

Optional

  • Power float

Also needed as materials: chalk refill, circular saw blades, cutting and diamond discs, diamond blades, drill and driver bits, SDS bits and chisels.

what each concrete tool is for, and the spec that decides which to buy where one does.

Now that you have the number

These guides cover the work this quantity is for — the first ones run this calculator inside the section that raises the question.

Called something else where you work? Concrete strength grade — the term in each market, how close the equivalence really is, and the standard that governs it.

The data behind it: Bulk densities of construction materials

How to calculate concrete relative yield (ASTM C138) in 4 steps

  1. Total Batch MassThe total mass of all ingredients in the batch.
  2. Measured Unit WeightThe batch's measured unit weight, from an ASTM C138 unit weight test.
  3. Design Batch VolumeThe volume the mix design was intended to produce.
  4. Relative yieldThe tool computes the relative yield from those figures and shows the formula, its sources, and a confidence rating alongside it.

Relative yield by total batch mass

Page defaults, not your figures above.

Total Batch MassRelative yield ((ratio, target 1.0))
4,000 lb0.772
6,000 lb1.16
8,000 lb1.54
10,000 lb1.93

Frequently asked questions

Why would a batch's actual yield differ from its design volume?
Aggregate moisture content, entrained air, and small batching inaccuracies all shift the real volume a fixed mass of ingredients produces — relative yield catches this directly instead of relying on assumptions.
What if my relative yield is consistently off?
A consistent bias (always high or always low) suggests a systematic issue — recheck aggregate moisture testing, scale calibration, or air content — rather than a one-off measurement error.
Does under-yield mean I'm wasting material?
The opposite — under-yield means the batch produced LESS volume than planned for the same material cost, so you'll need more batches (and more total material) to finish the same job than budgeted.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.