Materials & Quantities

Corrugated Metal Decking Span Deflection Checker

Check corrugated steel deck deflection against a code limit, using your deck's own effective moment of inertia.

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Imperial · sales tax
The uniformly distributed load per meter of deck width.

This is a line load across one metre of deck width, not a pressure — multiply the design area load by 1 m of width, so a 3 kPa load on the deck becomes the 3000 N/m default shown here. THE DENOMINATOR STAYS METRIC WHEN THE SPAN DOES NOT. This field carries no unit dimension, so it is read as N/m whichever measurement system the page is set to, while the span below it does follow the metric/imperial switch. A US deck load table gives the same quantity in lbf per linear foot of width, and the WHOLE unit converts, not only the denominator: 1 lbf is 4.4482 N and 1 foot is 0.3048 m, so 1 lbf per foot is 14.5939 N/m. Multiply an lbf-per-foot figure by 14.5939 before entering it — the 3000 N/m default is 205.6 lbf per foot. Skip that step and nothing here stops you: 205.6 sits inside this field's 100 to 30,000 range, so it is taken as 205.6 N/m with no notice of any kind, and because deflection is directly proportional to the load the answer comes back 14.59 times too small. A 6 m span carrying 5000 N/m on an I of 20 ×10⁶ mm⁴/m deflects 21.09 mm and fails the L/360 limit of 16.67 mm; the same load typed as 342.6 gives 1.45 mm and passes. Only loads under about 1,460 N/m give a figure below 100, and those are pulled up to the minimum instead — that path at least prints a notice saying so, this one prints nothing.

The deck's clear span between supports.

Clear span between the purlins or joists it sits on. Decking is normally continuous over three or more supports, which makes it noticeably stiffer than the same sheet spanning between two — so the span condition entered has to match how the sheet is really laid. The END bay, where the sheet has a support on one side only, is the worst case on the roof and is the one worth checking.

The deck's effective moment of inertia per meter of width, from the manufacturer's or SDI's span table.

This value is profile- and gauge-specific and cannot be derived from beam theory alone — look it up for your exact deck profile and gauge. Both halves of this unit are metric — ×10⁶ mm⁴ per METER of width — and the field has no unit selector, so it stays exactly as typed while the span above switches to imperial. SDI and the US deck makers publish I in in⁴ per foot of width, and that is a different number: 1 in⁴ per foot of width is 1.3656 ×10⁶ mm⁴ per m, because the per-foot denominator converts as well as the in⁴ (416,231 mm⁴ per in⁴, divided by 0.3048 m per foot). Multiply an in⁴-per-foot figure by 1.3656 before entering it — NOT by the 0.4162 used for a plain in⁴ section property, which converts the numerator only and lands 3.28 times low. The default 20 here is 14.65 in in⁴-per-foot terms, and 14.65 is inside the 0.1 to 500 this field accepts, so typing it is neither refused nor clamped: it is taken as written, and because deflection goes as 1/I the sag reads 36.6% high — 0.791 mm becomes 1.080 mm at the default 3000 N/m over a 3 m span — with the comparison against the limit then made on the inflated figure. That error runs in the conservative direction, so it will not turn a failing deck into a passing one, but it will condemn a deck that is fine.

The applicable code deflection limit, as a fraction of the span.

On a low-slope deck this limit often exists to stop PONDING rather than to protect a finish. Water collecting in a sagging bay adds load, the added load increases the sag, and the deeper sag collects more water — a feedback that does not settle at a new equilibrium if the roof is flat enough. That is why deck limits can look tight for a structure carrying nothing brittle.

Calculated deflection

0.0332 in

ComparisonA comparison, not a check — no result here is an approval.

The deflection this deck works out to is below the deflection limit for the span entered shown with it — you entered it from the limit ratio you chose. The effective moment of inertia has to come from the deck manufacturer's or the SDI's own span table for this exact profile and gauge, not from a computed section property. Being under one limit is not a design. Nothing else is checked here — not the other limit states, not the connections, not the member the load arrives from.

Allowable limit
0.5 in
Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • Steel Deck Institute Floor/Roof Deck Design Manuals: Δ = 5wL⁴/(384EI) applied per unit width, with E = 200,000 MPa; effective moment of inertia (I) is profile- and gauge-specific and must come from the deck manufacturer's or SDI's own span table — it cannot be derived from a general formula

Inputs used

Uniform Load per Meter of Width (N/m)
3000
Span
10 ft
Effective Moment of Inertia I (×10⁶ mm⁴ per m width)
20
Deflection Limit
L/240

Intermediate steps

Allowable limit
0.5 in
Final result0.03 in

Confidence note: The deflection this deck works out to is below the deflection limit for the span entered shown with it — you entered it from the limit ratio you chose. The effective moment of inertia has to come from the deck manufacturer's or the SDI's own span table for this exact profile and gauge, not from a computed section property. Being under one limit is not a design. Nothing else is checked here — not the other limit states, not the connections, not the member the load arrives from.

What this calculation does not cover

  • The check is deflection alone. Nothing here tests bending capacity, shear, or web crippling where the sheet bears on a narrow support flange, and published deck span tables are frequently governed by crippling or flexure rather than by sag, so a profile can clear this ratio and still fail the check that actually sets its allowable span.
  • The 5wL⁴/384EI expression is the single simply supported span, pinned at both ends. A deck sheet lapped continuously over two or three supports deflects only about 40 to 55 per cent as much under the same span and load, so deflection for a continuous layout is overstated here, while cantilevered edge overhangs, unequal adjacent spans and sheets that stop mid-bay are not represented at all.
  • The limit you select is applied to whatever load you typed, and the page does not link the two. Codes commonly pair the tighter ratio with live load acting alone and the looser one with the full service load, so entering dead plus live and choosing L/360 tests a combination no code asks for. Only ratio limits are offered, so an absolute cap on deflection, of the kind imposed on composite deck under wet concrete, cannot be checked here at all.
  • The effective moment of inertia is treated as one fixed number. For cold-formed decking it is stress-dependent, because the wide compression flange buckles locally and only part of its width stays effective, and composite deck tables publish separate values for the bare sheet under wet concrete and for the finished composite slab. E is likewise fixed at 200,000 MPa (29,000 ksi), so steel at elevated temperature and the long-term creep and shrinkage movement of a concrete topping are outside this.
  • The result is the deck's sag between its own two supports, not the movement a floor or ceiling actually sees. The joists or beams carrying the deck deflect as well and the two add at any point below, and where that combined sag collects rainwater or wet concrete the added weight deepens it further, a feedback loop this single-pass calculation does not iterate.

Add the equipment this sizes

This result is a specification — 0.0332 in — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.

10 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 2026-09-05 · in the site-wide review of 2026-09-06 · v1.0.1

Regulatory standards & verification citations1
  1. Steel Deck Institute Floor/Roof Deck Design Manuals: Δ = 5wL⁴/(384EI) applied per unit width, with E = 200,000 MPa; effective moment of inertia (I) is profile- and gauge-specific and must come from the deck manufacturer's or SDI's own span table — it cannot be derived from a general formula
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.

  • A whole structure squeezed into one bay of a running warehouse: slab, grid, deck span, bolt group and edge, in the order each one bites.

  • Twin skin built up on site against factory composite panel, and the spacer bar that quietly caps the U-value whatever thickness of quilt you buy.

  • Secondary framing set out so purlin rows, deck spans and sheet end laps land on frame lines the primary steel order fixed weeks ago.

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

How to calculate corrugated metal decking span deflection checker in 5 steps

  1. Uniform Load per Meter of Width (N/m)The uniformly distributed load per meter of deck width.
  2. SpanThe deck's clear span between supports.
  3. Effective Moment of Inertia I (×10⁶ mm⁴ per m width)The deck's effective moment of inertia per meter of width, from the manufacturer's or SDI's span table.
  4. Deflection LimitThe applicable code deflection limit, as a fraction of the span.
  5. Calculated deflectionThe tool computes the calculated deflection from those figures and shows the formula, its sources, and a confidence rating alongside it.

Frequently asked questions

Where do I get the effective moment of inertia for my deck?
From the manufacturer's or the Steel Deck Institute's (SDI) span table for your exact deck profile and gauge — effective moment of inertia for corrugated decking depends on the specific corrugation geometry and cannot be derived from a general formula.
Why is the modulus of elasticity fixed at 200,000 MPa?
200,000 MPa (200 GPa) is the standard modulus of elasticity for structural steel, so it is fixed rather than entered by the user for this calculator.
What's the difference between the L/180 and L/360 limits?
L/360 is a tighter limit typically applied where finishes or ceilings below are sensitive to movement, while L/180 is a looser limit sometimes permitted for roof decks without such finishes — confirm which limit applies under your project's governing code.
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.