Elecmetric

Conduit Fill Calculator

Fill percentage of a conduit for a number of equal cables, with the commonly used fill limit. With the formula, a worked example and typical values.

Conduit inside diameter 50 mm, cable outside diameter 12 mm, number of cables 6 gives
Fill: 34.56% · Common fill limit: 40% · Most cables at the limit: 6

Estimate only. Not engineering or safety advice. Check the result against the applicable standard and the equipment data, and have a competent engineer review it before it is relied on. Terms of use.

Open in the calculator with these values

About this calculator

This page calculates fill, common fill limit and most cables at the limit from conduit inside diameter, cable outside diameter and number of cables. Change any value or its unit and the result updates. The steps below show the working for the default values, so you can check each line against your own method.

Limits of this calculator

Pulling tension, bends and the length of run can require a lower fill than the limit.

Cross-check: 6 reference cases, calculated from textbook formulas coded separately from the engine by the same author, agree with this calculator. This is not an independent review.

Verification status: Indicative

Indicative. Estimation only; further engineering checks are required. Basis: NEC-style fill convention, not a universal rule.

What this calculator checks

What remains unverified

Verification register entry

Calculation authorRahul Sharma (author)
Technical reviewNo independent technical review has been carried out
Individual professional approvalNot recorded
Formula referencenot recorded
Standard and editionNFPA 70, 2026 edition, Chapter 9 Table 1
Standard review statePublic-scope screened; licensed clause review still pending
Scope-screening noteThe calculator uses the NEC conduit/conductor fill percentages (53%, 31%, 40%). This is applicable only where the relevant NFPA 70 edition and Chapter 9 rules are adopted; cable types and local amendments must be checked.
Cross-check test cases6 reference vectors (tests/reference_vectors.json)
Review datenot recorded
Next review datenot recorded
StatusIndicative

Needed before this calculator can be marked Verified: reviewer name, qualification and review date; licensed clause-by-clause standard review; exact formula reference; formula source (textbook or standard); next review date.

Formula

fill = n × (d / D)² × 100 limit: 53% for 1 cable, 31% for 2, 40% for 3 or more

Worked example

InputValue
Conduit inside diameter50 mm
Cable outside diameter12 mm
Number of cables6
  1. fill = 6 × (12 / 50)² × 100 = 34.56 %
  2. Limit for 6 cables = 40 %

Assumptions

Pulling tension, bends and the length of run can require a lower fill than the limit.

Inputs and results

InputUnitAllowed or shownNote
Conduit inside diametermmgreater than 0 mm
Cable outside diametermmgreater than 0 mm
Number of cables(number)1 or more, up to 500
ResultUnitAllowed or shownNote
Fill (%)(number)Shown to 2 decimal places
Common fill limit (%)(number)Shown to 0 decimal places
Most cables at the limit(number)Shown to 0 decimal places

How it is calculated

Each input is converted to the base unit of its quantity, the formula above is applied in the order shown in the worked example, and each result is shown in the unit you choose. Results are held at full precision and rounded only for display, except where a step selects a standard size, as the worked example shows. A value outside its allowed range is refused with a message instead of giving a result.

How the result changes with conduit inside diameter

Conduit inside diameter (mm)FillCommon fill limitMost cables at the limit
53,456400
12.5552.96400
25138.24401
5034.56406
1008.644027
2002.1640111
5000.3540694

Other inputs are the same as in the worked example above.

Standards and further reading

Ampacity and grouping factors come from your cable data sheet or your licensed copy of the standard; see STANDARDS.md for the method constants Elecmetric does use. These are named as background reading. Elecmetric does not embed clause text or rating tables, and the reviewer record for this calculator is separate from this list.

Frequently asked questions

What do I need to enter?

Enter conduit inside diameter, cable outside diameter and number of cables. Change the unit of a value with its selector and the result stays the same.

What does this calculator assume?

Round, equal cables. Limits are the widely used general rule; your code may differ.

Which calculators should I use next?

Common next steps are Cable Derating and Ampacity and Parallel Cable Sets. The related links at the bottom of this page open them.

How accurate are the results?

Every figure comes from the same tested engine as the Elecmetric calculators and is meant for estimating. 6 reference cases, calculated from textbook formulas coded separately from the engine by the same author, agree with this calculator. This is not an independent review. Check design values against the standard and the equipment data you work to.

Formula guides and reference

Longer explanations with worked examples and tables, written for the same topic.

More Cable Engineering calculatorsAll engineering calculatorsConduit Fill in Elecmetric

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