Materials & Quantities

Mass Timber Char Depth & Residual Section Calculator

What a fire period takes off an exposed timber member, notional char plus the zero-strength layer, and the residual section and sanding margin it leaves.

  • Answers as you type
  • Every formula cited
  • Calculated in your browser
SettingsSettings for this calculationUS
Market
Imperial · sales tax
The period the element has to survive under the standard fire, as consented.

This is the period on the fire strategy, not the one on the product literature. Where an element carries different periods for different functions — loadbearing, integrity, insulation — the char check belongs to the loadbearing one.

The notional rate tabulated for this product and density in the standard you are designing to.

Rates are published per product family and characteristic density — solid softwood, glued laminated softwood, laminated veneer lumber and the hardwoods all differ, and panel products differ again depending on whether a layer can fall away. Read the value from the table rather than carrying one across from another project.

Depth of heat-damaged timber just inside the char line that the reduced cross-section method discounts.

The char layer itself has no strength, and neither does a thin band of hot timber immediately behind it. The reduced cross-section method handles that by deducting a further allowance beyond the char depth, and its magnitude is defined by the standard you are working to.

The width, depth or panel thickness being checked, before any fire loss.

Run the check one dimension at a time. A beam exposed on three faces loses two char depths across its width but only one off its depth, so the width and the depth are two separate passes with different face counts.

How many opposite faces of this particular dimension the fire can reach.

A floor panel exposed from below chars on one face only. A beam under a slab is exposed on its two sides and its soffit, so its width loses material from both sides while its depth loses it from the soffit alone. A free-standing column is exposed all round.

The smallest residual the engineer's fire check still passes at — from the design, not from this page.

This is what turns an abstract char depth into a decision about sanding. It comes from re-running the member's capacity check on the reduced section and finding where it stops satisfying the fire load combination; without it, the difference between the section you have and the section you need is unknown.

Residual section dimension

5.69 in

Medium confidence

The headroom shown is the total that may come off this face across the life of the building, not per visit. Record what is removed at each remedial pass, because two light sandings a year apart are indistinguishable from one heavy one by the time it matters.

Notional char depth
1.65 in
Effective loss per exposed face
1.9 in
Surface removable before the residual reaches the required minimum
0.94 in
Proportion of the original dimension surviving
59.93 %
Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • EN 1995-1-2 (Eurocode 5, Part 1-2: Structural fire design) reduced cross-section method: char depth is the product's notional charring rate times the fire-resistance period, with a zero-strength layer deducted in addition. Both the rate and the layer are entered here from the standard governing your design — this page publishes neither
  • The National Design Specification for Wood Construction, Chapter 16, gives the equivalent char provisions used in US practice; its charring model and its allowance differ from the Eurocode one, so take both figures from a single document rather than mixing the two
  • Sanding removes material from the same surface the char depth is measured inward from, so any thickness taken off comes straight out of the residual section — the arithmetic on this page is that subtraction and nothing more

Inputs used

Required Fire-Resistance Period (minutes)
60
Notional Charring Rate (mm/min)
0.7
Zero-Strength Layer Allowance
0.25 in
Original Section Dimension
9.5 in
Faces Exposed Across This Dimension
Two faces — the width of a beam, or a four-sided column
Minimum Residual Dimension Required
4.75 in

Intermediate steps

Notional char depth
1.65 in
Effective loss per exposed face
1.9 in
Surface removable before the residual reaches the required minimum
0.94 in
Proportion of the original dimension surviving
59.93 %
Final result5.69 in

Confidence note: The headroom shown is the total that may come off this face across the life of the building, not per visit. Record what is removed at each remedial pass, because two light sandings a year apart are indistinguishable from one heavy one by the time it matters.

What this calculation does not cover

  • One dimension at a time. A three-sided beam needs two runs — width at two faces, depth at one — and the residual capacity check uses both results together.
  • Notional charring assumes the member keeps its shape and no layer falls away; products where a lamella can debond char faster and are covered by different provisions in the standards.

Add the equipment this sizes

This result is a specification — 5.69 in — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.

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 2026-08-30 · in the site-wide review of 2026-09-06 · v1.0.0

Regulatory standards & verification citations3
  1. EN 1995-1-2 (Eurocode 5, Part 1-2: Structural fire design) reduced cross-section method: char depth is the product's notional charring rate times the fire-resistance period, with a zero-strength layer deducted in addition. Both the rate and the layer are entered here from the standard governing your design — this page publishes neither
  2. The National Design Specification for Wood Construction, Chapter 16, gives the equivalent char provisions used in US practice; its charring model and its allowance differ from the Eurocode one, so take both figures from a single document rather than mixing the two
  3. Sanding removes material from the same surface the char depth is measured inward from, so any thickness taken off comes straight out of the residual section — the arithmetic on this page is that subtraction and nothing more

Which documents these citations point at

  • Eurocode 5 — Design of timber structures (BS EN 1995) (European (EN))Timber design, including the service classes and the modification factors applied for moisture and load duration.
  • The Eurocodes (BS EN 1990–1999) (European (EN))The European structural design suite as a whole. A citation that names no part lands here; the numbered parts above are the documents themselves.

A code or standard has force only where a jurisdiction has adopted it, usually with local amendments. This site holds no adoption data for any authority, so check what is in force with the authority where you build. Any section cited above without an edition should be checked against the edition in force where you build. What it would take to know.

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.

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.

How to calculate mass timber char depth & residual section in 7 steps

  1. Required Fire-Resistance Period (minutes)The period the element has to survive under the standard fire, as consented.
  2. Notional Charring Rate (mm/min)The notional rate tabulated for this product and density in the standard you are designing to.
  3. Zero-Strength Layer AllowanceDepth of heat-damaged timber just inside the char line that the reduced cross-section method discounts.
  4. Original Section DimensionThe width, depth or panel thickness being checked, before any fire loss.
  5. Faces Exposed Across This DimensionHow many opposite faces of this particular dimension the fire can reach.
  6. Minimum Residual Dimension RequiredThe smallest residual the engineer's fire check still passes at — from the design, not from this page.
  7. Residual section dimensionThe tool computes the residual section dimension from those figures and shows the formula, its sources, and a confidence rating alongside it.

Residual section dimension by zero-strength layer allowance

Page defaults, not your figures above.

Zero-Strength Layer AllowanceResidual section dimension (in)
0.2 in5.74
0.3 in5.54
0.4 in5.34
0.5 in5.14

Frequently asked questions

Why is a zero-strength layer deducted on top of the char?
Because the char line is not a clean boundary between ash and sound timber. Just inside it sits a band of wood hot enough to have lost most of its stiffness and strength without having burned, and the reduced cross-section method deals with that by discounting a further defined thickness. Ignoring it overstates the surviving section by roughly the same amount on every exposed face.
Can I sand a water stain out of an exposed soffit?
Only if the residual section has headroom over what the fire check needs, and that is a question for the engineer rather than the finisher. The sacrificial thickness is doing structural work in a fire; material removed from the visible face is subtracted from the residual section as surely as the char is, and a light finishing pass is a different proposition from sanding out a deep mark.
Do the Eurocode and the NDS give the same answer?
No, and they are not meant to be interchangeable. They model charring differently, tabulate different rates, and handle the heat-affected zone in different ways, so a rate lifted from one and an allowance lifted from the other produce a number that belongs to neither. Work from a single document throughout.
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.