Roads Calculator

Sieve analysis of aggregates calculator

I use this page when I need to check aggregate gradation calculator quickly while keeping the dimensions, assumptions, and likely follow-up decision in view.

Useful for quick retained/passing checks.

Calculator

Run the estimate above the fold

Enter the job values, calculate, then use the notes below to decide whether the result is ready for ordering, pricing, or a drawing cross-check.

Formula

Aggregate gradation, sieve analysis, and binder-rate notes

The aggregate sieve-analysis helper compares retained masses to the total sample weight and shows the retained/passing relationship.

Percent retained = retained mass / total mass x 100

Field sketch

Field sketch

  • I use the sketch to confirm that the dimensions belong to the same geometry before trusting the final number.
  • If the shape on site is more irregular than the sketch, the page should be treated as a first-pass check and not the final takeoff.

Quick reference

Dimension and result sheet

TypeLabelReading
InputTotal sample weight (kg)Project value
InputRetained on top sieve (kg)Project value
InputRetained on next sieve (kg)Project value
InputRetained on next sieve (kg)Project value
InputRetained on next sieve (kg)Project value
OutputTotal retained%
OutputPercent passing%

Checks

Input checks

  • Confirm the measuring basis before entering total sample weight (kg), retained on top sieve (kg), retained on next sieve (kg), retained on next sieve (kg), and retained on next sieve (kg). Finished size, clear size, centerline size, excavation size, or nominal size can all change total retained.
  • Keep the chosen unit system consistent from start to finish. If you switch between metric and imperial, re-check every number rather than trusting the previous values.
  • Match the entered values to approved pavement specs, test-sheet values, application rates, and the exact material classification being reviewed. A correct formula still gives a wrong answer when the drawing or lab basis is wrong.
  • Set wastage, density, spacing, or rate values to match the actual work package rather than a textbook default.
  • Use this page for a quick aggregate gradation calculator check, then compare the output with the BOQ, supplier takeoff, test sheet, or marked-up drawing before acting on it.

Limits

Method limits

  • Use the full grading table when formal compliance is required.

Worked example

Worked example: a sieve analysis of aggregates calculator check in practice

This example is written like a practical working-note check so the inputs and outputs can be compared against a real drawing, takeoff, or lab sheet instead of floating as abstract numbers.

Worked example

Example inputs

Total sample weight (kg)
10
Retained on top sieve (kg)
1
Retained on next sieve (kg)
2
Retained in pan (kg)
2

Worked example

Example outputs

Total retained
100 %
Percent passing
0 %

Worked example

How I run it

  1. Start from the same measurement basis the live job will use.
  2. Enter the example values and make sure the basis matches approved pavement specs, test-sheet values, application rates, and the exact material classification being reviewed.
  3. Read total retained first, then compare percent passing as supporting checks.
  4. If the example output would change a pavement-material quantity or test interpretation has to be checked before approval or correction, cross-check it against the live drawing, sheet, or takeoff before moving ahead.

I use the example as a range check first and only then as a basis for the next operational decision.

Context

Why I use this sieve analysis of aggregates calculator

This page is built for the point in a job when application rates or aggregate gradation figures need a quick calculation during pavement and materials QA work. In practice that usually happens with marked-up drawings, a notebook, a test sheet, or a quick call from site asking for a number that can survive a second look. I want the page to behave like a working sheet: fast to enter, clear about what each value means, and honest about where the estimate ends.

For this task, the inputs that usually move the answer are total sample weight (kg), retained on top sieve (kg), retained on next sieve (kg), retained on next sieve (kg), retained on next sieve (kg), and retained in pan (kg), and the first outputs worth reading are total retained and percent passing. That mirrors how the check is actually used in takeoff, procurement planning, or site-side review, where the first question is not just "what is the number?" but also "what assumption is carrying it?"

  • Useful for quick retained/passing checks.

Inputs

Inputs that change the answer fastest

Most bad numbers start before the math. They start with the wrong dimension reference, the wrong bore, the wrong effective depth, or an outdated revision mark. Before I rely on any output here, I check approved pavement specs, test-sheet values, application rates, and the exact material classification being reviewed. A centerline length used as a clear length, a nominal pipe size entered as true bore, or a gross tank depth entered instead of usable water depth can shift the answer far more than any rounding rule ever will.

That is why the inputs stay visible. Density, wastage, spacing, coverage, detention time, and reserve allowance are not background details; they are the terms that usually decide whether the result is believable. Keeping them in the open makes the page read more like a checked working note and less like a black-box answer.

  • Confirm the measuring basis before entering total sample weight (kg), retained on top sieve (kg), retained on next sieve (kg), retained on next sieve (kg), and retained on next sieve (kg). Finished size, clear size, centerline size, excavation size, or nominal size can all change total retained.
  • Keep the chosen unit system consistent from start to finish. If you switch between metric and imperial, re-check every number rather than trusting the previous values.
  • Match the entered values to approved pavement specs, test-sheet values, application rates, and the exact material classification being reviewed. A correct formula still gives a wrong answer when the drawing or lab basis is wrong.
  • Set wastage, density, spacing, or rate values to match the actual work package rather than a textbook default.
  • Use this page for a quick aggregate gradation calculator check, then compare the output with the BOQ, supplier takeoff, test sheet, or marked-up drawing before acting on it.

Method

How the formula works in practice

The aggregate sieve-analysis helper compares retained masses to the total sample weight and shows the retained/passing relationship. The displayed relationship is Percent retained = retained mass / total mass x 100. Clean arithmetic is only one part of a usable engineering page. The other part is whether each variable still makes sense in the context of the actual drawing, material, specimen, or work sequence in front of you.

For this method, I treat the displayed relation as a disciplined shortcut, not as permission to stop thinking. The right formula is used but the wrong specification window or sample basis is assumed. The standard notes stay visible for the same reason: once the work moves beyond the simplified basis captured here, the next check belongs in the drawing set, mix sheet, lab procedure, manufacturer table, or detailed takeoff. Road materials note: Read gradation and binder outputs against ASTM C136/C117, IS 2386 Part 1, AASHTO or MoRTH requirements, and the approved mix or rate sheet. The math is only part of the QA decision.

  • Only the entered sieve fractions are included.

Example

A site-style worked example

The worked example is there to anchor scale. Starting with Total sample weight (kg): 10; Retained on top sieve (kg): 1; Retained on next sieve (kg): 2; Retained in pan (kg): 2, the page returns Total retained: 100 %; Percent passing: 0 %. That does not prove your project matches the example, but it does give you a fast range check before a quantity becomes an order, a labour plan, or a rate discussion.

On site, that range check is valuable. If your live result lands two or three times away from the example after only a modest change in geometry or demand, the first thing to question is the measurement basis, not the arithmetic. That habit catches far more mistakes than another paragraph of textbook definition ever will.

  • Start from the same measurement basis the live job will use.
  • Enter the example values and make sure the basis matches approved pavement specs, test-sheet values, application rates, and the exact material classification being reviewed.
  • Read total retained first, then compare percent passing as supporting checks.
  • If the example output would change a pavement-material quantity or test interpretation has to be checked before approval or correction, cross-check it against the live drawing, sheet, or takeoff before moving ahead.
  • Use the example as a range check whenever the live output looks unexpectedly high or low.

Interpretation

How to read the result and act on it

Once the output appears, I read it in the same order I would on an estimate sheet: base quantity first, supporting values second, decision third. For this page, that means read the result together with the governing material requirement, because the pass-fail meaning comes from the spec, not the math alone. If the first number is volume, the next question is usually whether it is ready for truck planning, bag count, or a drawing cross-check. If the first number is weight, the next question is whether the unit-weight basis and count still reflect what will actually be fabricated or ordered.

A useful engineering page should help you read the number, not just produce it. The result block is there to support takeoff, ordering, review, and discussion; it is not there to bypass the bar schedule, mix approval, lab worksheet, or detailed design note that ultimately controls the work.

  • Read total retained first. It is the base figure that the rest of the result block depends on.
  • Use percent passing as cross-check values, not as stand-alone numbers with no context.
  • Compare the result with the real site decision in front of you: a pavement-material quantity or test interpretation has to be checked before approval or correction.
  • If the output feels too high or too low, re-check the measurements, sample basis, and allowances before you blame the formula.
  • Move to the next practical check when you need cost, material split, storage capacity, layout geometry, or a shape-specific follow-up.

Boundary

Where this calculator should stop

Use this page to accelerate takeoff, pricing, planning, and cross-checking. Stop when the work depends on full design review, a laboratory procedure, a manufacturer table, a bar bending schedule, or a specification clause that is not represented in the visible inputs.

That boundary is part of the trust layer. A quick engineering check becomes more credible when it shows clearly what still needs to be confirmed before the number turns into an order, instruction, approval note, or report line.

  • Entering retained weights that do not reconcile with the total sample.
  • Do not treat a partial sieve set as a full compliance report.

Best use

When I use this tool

  • Use when you need a fast gradation sanity check rather than a full plotted report.

Common misses

Errors that usually distort the answer

  • Entering retained weights that do not reconcile with the total sample.

After the result

What I do next

  • Read total retained first. It is the base figure that the rest of the result block depends on.
  • Use percent passing as cross-check values, not as stand-alone numbers with no context.
  • Compare the result with the real site decision in front of you: a pavement-material quantity or test interpretation has to be checked before approval or correction.
  • If the output feels too high or too low, re-check the measurements, sample basis, and allowances before you blame the formula.
  • Move to the next practical check when you need cost, material split, storage capacity, layout geometry, or a shape-specific follow-up.
  • Check the mass balance before using the output.

Not for

When I stop and go back to drawings or specs

  • Do not treat a partial sieve set as a full compliance report.

Standards

Scope and review notes

  • Road materials note: Read gradation and binder outputs against ASTM C136/C117, IS 2386 Part 1, AASHTO or MoRTH requirements, and the approved mix or rate sheet. The math is only part of the QA decision.

Related

Keep moving through the job

FAQ

Questions that come up around this calculation

What does this page estimate?

It gives a quick site-side answer for aggregate gradation calculator while keeping the measurement basis, assumptions, and next checks visible on the page.

Should I verify drawings, schedules, or test sheets first?

Yes. Cross-check the latest drawings, schedule, specification section, and the named references shown on the page before ordering material, reporting a result, or approving work.

Can I treat the result as final design or acceptance?

No. The output supports estimation, checking, and planning. Final approval still belongs to the project documents, the formal test procedure, and the responsible engineer or reviewer.

References

What this page is checked against

ASTM C136/C117, IS 2386 Part 1, AASHTO, and MoRTH road-material context

Use the page for a fast retained or binder check, then compare it with the project gradation envelope, job-mix formula, or application-rate requirement.