Materials & Quantities

Roof/Floor Deflection Limit Calculator

Calculate the allowable absolute deflection for a given span and code deflection ratio limit.

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The member's clear span between supports.

Clear span, support face to support face. On a roof this figure usually gets checked twice rather than once: the member has a structural limit of its own, and anything hanging below it — a plastered or boarded ceiling — has a tighter one. Two checks, one span, and the finish normally wins.

The code deflection limit that applies to this member, expressed as a fraction of the span.

The limit comes from what the member SUPPORTS, not from what the member is. A rafter over an open carport and an identical rafter over a plastered ceiling are given different limits, because the plaster cracks long before the timber is anywhere near distressed. Live-load and total-load limits are also separate numbers checked separately — passing one says nothing about the other.

Allowable deflection

0.65 in

High confidence
Then change the inputs to see how far the answer moves.

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How this was calculated

Formula source(s)

  • Standard code deflection limits are expressed as a span fraction (e.g. L/180, L/240, L/360); allowable deflection = span ÷ ratio

Inputs used

Span
19.5 ft
Deflection Limit Ratio
L/360 (floor, plaster ceiling)
Final result0.65 in

What this calculation does not cover

  • The number returned is the allowance, not the deflection. How far the member actually moves depends on the load, the modulus of elasticity and the second moment of area, none of which this page asks for, so a 6 m span at L/360 gives 16.7 mm of permitted sag with no indication of whether the joist under it moves 8 mm or 40 mm.
  • Codes normally impose two limits on the same member at once, one on live load alone and a looser one on dead plus live, and this page returns a single ratio at a time, so an L/360 allowance is the right yardstick only for the live-load half of that pair. The three options offered are the common generic set; brittle finishes, supported masonry and glazing attract tighter fractions in many codes. Some codes also pair the ratio with an absolute cap in millimetres that a long span reaches before the fraction does, and this page only ever divides.
  • Span is used exactly as entered, which is the wrong input for a cantilever. Several codes define L for a cantilevered member as twice the projection, so a 1.2 m (4 ft) balcony joist entered as 1.2 m (4 ft) returns roughly half the allowance intended; how L is defined at a cantilever, and whether it is measured clear or centre to centre of bearings, is jurisdictional.
  • The allowance has no time in it. Timber and concrete keep deflecting under sustained load, and codes deal with creep by multiplying the long-term component of the calculated deflection before it is compared with a limit like this one, commonly by a factor of the order of 1.5 for dry timber and 2.0 for green material, with the exact figure set by the governing code. A member that clears the limit on the day it is installed can exceed it a year later under the same dead load.
  • Clearing a deflection limit is a serviceability result, not a structural pass: bending stress, shear near the supports, bearing crushing on the wall plate and buckling of an unrestrained compression edge are separate checks a member can fail while sitting comfortably inside its L/240 allowance. On a low-slope roof there is also ponding, where water collects in the deflected shape and the added weight deepens it further, which is a stiffness and drainage question no span fraction answers.

Add the equipment this sizes

This result is a specification — 0.65 in — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.

19.5 ft
Schematic, drawn to the proportions you entered — not to scale on screen.

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 2026-09-02 · in the site-wide review of 2026-09-06 · v1.0.1

Regulatory standards & verification citations1
  1. Standard code deflection limits are expressed as a span fraction (e.g. L/180, L/240, L/360); allowable deflection = span ÷ ratio
Cite this page

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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.

Still deciding? Deflection Limit vs Floor Vibration — the factors that actually differ, with no invented prices.

How to calculate Roof/Floor deflection limit in 3 steps

  1. SpanThe member's clear span between supports.
  2. Deflection Limit RatioThe code deflection limit that applies to this member, expressed as a fraction of the span.
  3. Allowable deflectionThe tool computes the allowable deflection from those figures and shows the formula, its sources, and a confidence rating alongside it.

Allowable deflection by span

Page defaults, not your figures above.

SpanAllowable deflection (in)
10 ft0.333
15 ft0.5
20 ft0.667
25 ft0.833
30 ft1
35 ft1.17

Frequently asked questions

What do L/180, L/240, and L/360 mean?
These are span-fraction deflection limits — L/360 (span divided by 360) is a stricter limit commonly used for floors with plaster or similarly rigid finishes, while L/180 (roof, non-plaster) allows more deflection since it rarely sits below a brittle finish.
Which ratio should I use?
Use L/360 for floors with plaster or rigid finishes, L/240 for ceilings, and L/180 for roof members without a plaster ceiling below — always confirm against your governing building code, which may specify tighter limits for certain conditions.
Does a higher ratio number mean a stricter or looser limit?
Stricter — a higher ratio (e.g. 360 vs 180) divides the span into more parts, producing a smaller allowable deflection in mm, so L/360 is a tighter limit than L/180.
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.