💨 HVAC

Duct Size Calculator (Online Ductulator) – HVAC Ductwork Sizing

Free duct size calculator / online ductulator: size round & rectangular HVAC ducts by the equal-friction method. Duct sizing chart. No sign-up.

📐 Standard: SMACNA / ASHRAE
✅ Free to use
📄 PDF export
📱 Mobile friendly
💨
Duct Size Calculator (Ductulator) Calculator
Reference: SMACNA / ASHRAE
💨 HVAC
Free duct size calculator / online ductulator: size round & rectangular HVAC ducts by the equal-friction method. Duct sizing chart. No sign-up.
Inputs
Enter airflow, max velocity and shape. For rectangular set aspect ratio. Results round to nearest 25mm standard duct.
Results
Calculation confidence: Planning-levelSuitable for early design, estimating and feasibility checks. Verify the final design against the governing code and a licensed engineer before construction or procurement.
Was this helpful?
💬 Suggest an improvement

About This Calculator

Correct duct sizing ensures the right amount of conditioned air reaches each zone while keeping fan energy, noise levels, and pressure drop within acceptable limits. Undersized ducts create excessive velocity (noise, high pressure drop, energy waste); oversized ducts waste sheet metal cost and ceiling space. The two standard methods are the equal friction method (maintaining constant pressure drop per metre) and the velocity method (setting duct velocity based on application).

SMACNA (Sheet Metal and Air Conditioning Contractors National Association) duct construction standards are the globally accepted reference for HVAC ductwork. The equal friction method - typically 0.8 Pa/m for commercial systems - balances the duct network automatically and simplifies balancing damper adjustment. For high-velocity systems in critical spaces (hospitals, clean rooms), the velocity method is preferred to control noise and ensure LAM (laminar air movement).

Duct Sizing Formulas (SMACNA)

SMACNA / ASHRAE

Velocity Method: A = Q / v D = √(4A/π) [circular duct] For rectangular: W × H = A (maintaining aspect ratio ≤ 4:1) Equal Friction Method (Darcy-Weisbach): ΔP/L = f × (ρv²) / (2 × Dh) Dh = 4A / P [hydraulic diameter] Recommended Velocities (SMACNA): Main ducts: 5–8 m/s Branch ducts: 3–5 m/s Diffuser necks: 2–3 m/s Return air grille: 1.5–2.5 m/s

Worked Example

Example: An AHU serves a large open-plan office needing 1200 L/s (1.2 m³/s) of supply air through a main round duct, with a maximum velocity of 6 m/s per SMACNA guidelines. Required area A = Q/v = 1.2/6 = 0.2 m², giving a calculated diameter D = √(4×0.2/π) = 0.505 m. Rounding up to the nearest standard 25 mm increment gives a 525 mm diameter duct. Checking actual velocity at this size: v = 1.2/(π/4×0.525²) = 5.54 m/s, comfortably within the 5–8 m/s SMACNA range for main ducts.

Duct Sizing Reference & Design Guide (ASHRAE / SMACNA)

How the Duct Size Calculator Works

Sizing ductwork is a balance between three competing goals: move the required air (CFM), keep velocity low enough to stay quiet and efficient, and hold the friction loss low enough that the fan can deliver the air without excessive energy. This calculator uses the equal-friction and velocity methods from the ASHRAE Handbook and SMACNA duct-design standards — the same approach a mechanical engineer applies with a ductulator or friction chart. Enter the airflow and either a target velocity or a friction rate, and it returns the round diameter (or the rectangular width × height) along with the resulting air velocity and pressure drop, so you can confirm the duct is neither undersized (noisy, high static) nor oversized (wasteful of space and material).

The Duct Sizing Formulas

Every duct calculation starts from the continuity relationship between airflow, velocity and cross-sectional area:

  • Area: A = Q ÷ V (A in ft², Q in CFM, V in FPM)
  • Round diameter: D = 12 × √(4A ÷ π) (inches)
  • Equivalent round of a rectangle: De = 1.30 × (a·b)0.625 ÷ (a+b)0.25
  • Friction loss (approx.): Δp ≈ friction rate × (length ÷ 100), in inches of water per 100 ft

The equal-friction method selects a single friction rate — commonly 0.08–0.10 in. w.g. per 100 ft for low-pressure commercial systems — and sizes every duct section to that same rate, which naturally balances the system. The velocity method instead caps the velocity by application (lower in occupied areas for noise control) and sizes to that limit. This tool supports both.

Variable & Unit Reference

SymbolQuantityUS UnitSI Unit
QAirflowCFM (ft³/min)L/s or m³/h
VAir velocityFPM (ft/min)m/s
ADuct areaft² / in²
DRound diameterinmm
ΔpFriction lossin. w.g. / 100 ftPa/m
ARAspect ratio (w:h)ratioratio

Unit handling: US HVAC uses CFM for airflow, FPM for velocity, inches for duct size and inches of water gauge (in. w.g.) for static pressure — exactly what this calculator uses in imperial mode. Useful conversions: 1 CFM = 0.472 L/s, 1 FPM = 0.00508 m/s, 1 in. w.g. = 249 Pa, and 1 inch = 25.4 mm.

Step-by-Step Duct Sizing

  1. Determine the airflow (CFM) each section must carry, from the room-by-room load and the 400-CFM-per-ton rule of thumb or the calculated supply airflow.
  2. Choose a design method — a friction rate (0.08–0.10 in. w.g./100 ft is the common default) for equal-friction, or a velocity limit for the velocity method.
  3. Size the round duct to that rate/velocity, then convert to a rectangular size if headroom requires it, keeping the aspect ratio at or below 4:1 (ideally ≤ 3:1).
  4. Check the resulting velocity against the application limit for noise, and the friction against the fan's available static pressure.
  5. Add fitting losses — elbows, transitions and takeoffs — as equivalent length or loss coefficients; these often exceed the straight-duct loss.
  6. Tally the total static pressure along the longest (index) run and confirm the fan can deliver the design airflow at that external static.

Worked Example 1 — Residential Supply Branch

A bedroom needs 150 CFM of supply air through a flexible round branch, with a residential velocity target of about 700 FPM to keep it quiet.

  1. Area: A = 150 ÷ 700 = 0.214 ft² = 30.9 in².
  2. Diameter: D = 12 × √(4 × 0.214 ÷ π) = 6.3 in → round up to 7 in.
  3. Actual velocity in a 7 in duct: area = 0.267 ft², so V = 150 ÷ 0.267 = 561 FPM — comfortably quiet ✓.
  4. Friction: at 150 CFM in 7 in, the friction rate is about 0.06 in. w.g./100 ft — low, good for a flex run.

Answer: a 7 in round branch. Residential branches are usually velocity-limited for noise, which is why the duct ends up a little larger than friction alone would require.

Worked Example 2 — Commercial Rectangular Main

A commercial main trunk carries 2,000 CFM with a velocity limit of 1,500 FPM, and only 12 in of ceiling height is available for the duct.

  1. Area: A = 2,000 ÷ 1,500 = 1.333 ft² = 192 in².
  2. Rectangular size: with a 12 in height, width = 192 ÷ 12 = 16 in → 16 in × 12 in.
  3. Aspect ratio: 16:12 = 1.33:1 ✓ (well within the 4:1 limit).
  4. Equivalent round: De = 1.30 × (16 × 12)0.625 ÷ (16 + 12)0.2515.1 in.
  5. Friction: 2,000 CFM at a 15 in equivalent diameter gives about 0.13 in. w.g./100 ft — verify against the fan's available static.

Answer: a 16 × 12 in trunk. The equivalent-round diameter is what you read on the friction chart; the rectangle is what fits the ceiling, and keeping the aspect ratio low keeps material cost and friction down.

Standards & Code References

  • ASHRAE Handbook — Fundamentals (Duct Design) — the authoritative friction-loss data and the equal-friction, static-regain and velocity methods.
  • SMACNA HVAC Duct Construction Standards — gauge, reinforcement, sealing and pressure-class construction requirements.
  • ACCA Manual D — the residential duct-design procedure referenced by the IRC.
  • ASHRAE 62.1 / 62.2 — ventilation airflow rates the ducts must deliver.
  • International Mechanical Code (IMC) — duct materials, fire dampers and installation requirements.
  • Secondary: ISHRAE and CIBSE use the same physics with SI units (L/s, m/s, Pa/m).

Key Facts to Remember

  • Velocity, not just friction, governs occupied-space ducts — noise rises sharply above about 1,000 FPM near diffusers.
  • Keep the rectangular aspect ratio ≤ 4:1; high ratios waste metal and add friction (a 4:1 duct uses ~40% more sheet metal than a square of equal area).
  • Round duct is the most efficient shape — least friction and metal per CFM — and should be the default where space allows.
  • Fitting losses (elbows, tees, transitions) often exceed the straight-duct loss; never size on straight length alone.
  • The equal-friction method at 0.08–0.10 in. w.g./100 ft is the workhorse for low-pressure systems.
  • Oversized ducts waste space and money; undersized ducts are noisy and starve the system — size to the method, not habit.
  • Flexible duct has 2–3× the friction of smooth metal and must be pulled tight and kept short.
  • The fan must overcome the total external static pressure of the longest (index) run, not the average.

Recommended Duct Velocities (the "money table")

ApplicationMain Ducts (FPM)Branch Ducts (FPM)
Residential700–900600–700
Commercial (low noise)1,000–1,500600–1,000
Commercial (general)1,500–2,0001,000–1,600
Industrial2,000–3,0001,500–2,200
Return air (main)1,000–1,400600–1,000

Round-duct capacity guide at 0.1 in. w.g./100 ft: 6″ ≈ 110 CFM, 8″ ≈ 230 CFM, 10″ ≈ 420 CFM, 12″ ≈ 680 CFM, 14″ ≈ 1,000 CFM, 16″ ≈ 1,400 CFM, 20″ ≈ 2,500 CFM.

Real-World Applications

  • Residential supply and return trunk-and-branch systems (Manual D).
  • Commercial office VAV and constant-volume distribution.
  • Rooftop-unit and split-system ductwork sizing.
  • Kitchen and general exhaust ducts (with their own velocity minimums to carry grease/particulate).
  • Fresh-air and energy-recovery intake and relief ducts.
  • Industrial process and dust-collection ducts (high velocity to keep particulate entrained).
  • Cleanroom and laboratory supply and exhaust.
  • Retrofit and duct-renovation studies where space is constrained.

Common Mistakes

  • Sizing on friction alone and ending up with noisy, high-velocity ducts near occupied spaces.
  • Using aspect ratios above 4:1, wasting metal and adding friction.
  • Ignoring fitting losses, then finding the fan can't deliver the airflow.
  • Treating flex duct like smooth metal and under-predicting friction 2–3×.
  • Sizing the average run instead of the index run for fan static.
  • Forgetting to seal ducts — leakage of 10–20% quietly defeats the design.
  • Undersizing returns, which starve the system and raise noise.
  • Mixing up CFM and FPM — airflow versus velocity — a surprisingly common slip.

Aspect Ratio, Noise & Static Pressure

Three design levers interact in every duct decision. Aspect ratio — the width-to-height ratio of a rectangular duct — should stay low because a flat, wide duct has more perimeter (and therefore more friction and more sheet metal) than a square or round duct of the same area; doubling the aspect ratio can add 40% to the metal weight and noticeably to the friction. Noise is driven by velocity: air moving faster than roughly 1,000 FPM near a diffuser or grille begins to generate audible turbulence, which is why occupied-space branches are velocity-limited even when friction would allow a smaller duct. Static pressure is the fan's budget: the sum of straight-duct friction plus every fitting loss along the index run must be less than the fan's rated external static at the design airflow, or the system simply won't deliver the air. Good duct design keeps all three in balance — round where possible, low aspect ratio where rectangular is required, velocity capped in occupied zones, and a documented static-pressure tally so the fan selection is defensible. This calculator gives you the size, velocity and friction for each section so you can manage that balance section by section.

Design Tips from the Field

  • Default to round or square, flatten only when headroom forces it, and never exceed 4:1.
  • Reserve fan static for fittings — budget roughly half the external static for fitting losses on a typical layout.
  • Keep flex duct short and taut; a sagging, compressed flex run can double the branch's pressure loss.
  • Size returns generously — a slightly larger return pays back in quiet, efficient operation.
  • Seal to SMACNA leakage class and pressure-test critical systems; unsealed ducts waste the capacity you carefully sized.
  • Document the index run and static tally on the drawings so the fan selection and any future changes are traceable.

Round vs Rectangular vs Flat-Oval Duct

Duct shape is an economic and performance decision, not just a fabrication preference. Round duct is the clear efficiency winner: for a given cross-sectional area it has the least perimeter, so it uses the least sheet metal, has the lowest friction, and is inherently the strongest against pressure — it should be the default wherever ceiling space allows. Rectangular duct exists because buildings have limited plenum height; it fits tight spaces but pays for it with more metal, more friction and more seams to seal, and the penalty grows sharply as the aspect ratio rises. Flat-oval duct is the compromise — a flattened round that keeps much of round's efficiency while fitting a shallower space, popular for exposed and space-constrained commercial runs. A useful rule of thumb: a rectangular duct at 4:1 aspect ratio can weigh 40–50% more and cost noticeably more to fabricate and seal than the round duct of equal capacity. When you can't run round, keep the rectangle as square as possible and consider flat-oval for the mains, reserving high-aspect-ratio duct for the few places headroom truly demands it.

The Static-Regain Method

Beyond equal-friction and velocity sizing, large medium- and high-velocity systems often use the static-regain method. Its principle is elegant: at each branch takeoff, some air leaves the main, so the velocity in the main drops downstream — and by Bernoulli's principle that reduction in velocity pressure is "regained" as static pressure. The static-regain method deliberately sizes each successive section so that the static pressure recovered by slowing down just balances the friction loss of the next section, keeping the static pressure roughly constant along the main. The payoff is a self-balancing system with nearly equal pressure available at every takeoff, which simplifies diffuser selection and balancing. It requires more computation than equal-friction (which is why it was historically reserved for large systems and software), but it produces quieter, better-balanced high-velocity distribution. For most low-pressure commercial and residential work, equal-friction remains the practical choice; reach for static regain on large, high-velocity trunk systems where balance matters.

Duct Leakage & Sealing

The most carefully sized duct system underperforms if it leaks, and unsealed ductwork commonly loses 10–30% of its airflow through joints and seams before it ever reaches the space. SMACNA defines duct leakage classes and pressure classes that set allowable leakage per 100 ft² of surface at a given static pressure, and energy codes now mandate sealing and, for larger systems, leakage testing. Practically, every transverse joint and longitudinal seam should be sealed with a listed mastic or gasket rated for the pressure class — cloth-backed "duct tape," ironically, is not approved for duct sealing and fails within a few years. Leakage matters most on the pressurized supply side and on ducts routed outside the conditioned envelope (attics, crawlspaces), where escaped air is pure waste. Because leakage effectively de-rates the fan's delivered capacity, a system sized perfectly on paper but sealed poorly will still starve the far rooms. Budget for sealing as part of the design, specify the SMACNA seal and leakage class, and pressure-test critical systems so the airflow you calculated is the airflow the occupants actually receive.

Insulation & Energy Code

Ducts that carry conditioned air through unconditioned space must be insulated to limit thermal loss, and the required R-value is set by the IECC and ASHRAE 90.1 based on climate zone and location — typically R-6 to R-8 for supply ducts in attics, less for ducts within the conditioned envelope. Uninsulated supply duct in a hot attic can gain enough heat to noticeably raise supply-air temperature and waste cooling capacity, so the insulation requirement is an energy measure, not just condensation control. On cooling ducts, a vapor barrier is essential to prevent condensation on the cold metal surface in humid climates. The energy codes also increasingly require duct sealing and, for larger commercial systems, verified leakage testing as described above. Coordinating insulation thickness with the available plenum space early is important — an R-8 wrap adds a couple of inches to every dimension, which can conflict with a tightly sized rectangular duct, occasionally justifying a rounder or slightly larger bare duct that fits once wrapped.

Balancing & Commissioning

Sizing determines the potential of a duct system; testing, adjusting and balancing (TAB) realizes it. After installation, a balancing contractor measures the airflow at each outlet and adjusts dampers so every space receives its design CFM — correcting the inevitable differences between the calculated model and the as-built reality of fittings, flex routing and leakage. A well-designed system with low aspect ratios, moderate velocities and a documented static budget balances easily; an aggressively sized or leaky system fights the balancer at every outlet. Providing balancing dampers at each branch takeoff (not just at the diffuser, where adjustment causes noise) is a design courtesy that pays off in commissioning. Modern commissioning also verifies the fan operates near its design point on the fan curve and that the total external static matches the calculation. Designing for balance — generous returns, accessible dampers, a realistic static tally — is what turns a correctly sized duct layout into a system that is quiet, efficient and comfortable in every room.

Return-Air & Plenum Sizing

Return ducts are half the system and are chronically undersized, which is one of the most common causes of noisy, underperforming HVAC. Air must get back to the equipment as freely as it was delivered, so returns are sized at lower velocities than supply — roughly 600–1,000 FPM for branches and 1,000–1,400 FPM for mains — to keep them quiet, since return grilles are often in occupied living spaces where noise is most noticeable. A restricted return raises the system's total external static, drops airflow across the coil, and can pull the blower into a high-static, low-flow condition that hurts both capacity and efficiency; in gas systems an excessively negative return can even affect combustion venting. Many residential systems rely on a central return or a wall/floor cavity used as a return plenum, which must be sized and sealed as carefully as ductwork. When sizing a system, give the return path as much attention as the supply — a generously sized, well-placed return is inexpensive insurance for a quiet, efficient, correctly balanced system.

Exhaust & Kitchen-Hood Duct Velocity

Not all ducts are sized for the lowest practical velocity — exhaust ducts that carry particulate, grease or moisture need a minimum velocity to keep the contaminant entrained and prevent it settling in the duct. Grease-laden commercial kitchen exhaust is the strictest case: codes and NFPA 96 require the duct to maintain enough velocity (commonly around 500 FPM minimum, often designed toward 1,500–1,800 FPM) so grease doesn't accumulate into a fire hazard, and the duct must be liquid-tight welded, sloped and provided with cleanouts. Dust-collection and industrial exhaust similarly require high transport velocities — 3,000–4,500 FPM for heavy dust — to keep particulate moving. This inverts the usual "lower is quieter" logic: for these systems you size for a velocity window with a floor, not just a ceiling. General building exhaust (bathrooms, toilets) is less demanding but still benefits from adequate velocity to prevent moisture settling. When a duct's job is to carry something other than clean air, always check the minimum transport velocity for that contaminant, not just the noise-driven maximum.

Quick Reference Summary

To size a duct fast: divide the airflow (CFM) by the target velocity (FPM) to get the area in ft², then convert to a round diameter with D = 12 × √(4A/π), or to a rectangle by dividing the area by the available height. Use the equal-friction rate of 0.08–0.10 in. w.g./100 ft for low-pressure systems, hold occupied-space velocity below about 1,000 FPM for quiet, and keep rectangular aspect ratios at or below 4:1. As quick capacity anchors at 0.1 in. w.g./100 ft: a 6-inch round carries about 110 CFM, 8-inch 230 CFM, 10-inch 420 CFM, 12-inch 680 CFM, 14-inch 1,000 CFM and 16-inch 1,400 CFM. Always default to round where headroom allows, size the return path as generously as the supply, include fitting losses in the static tally, and confirm the fan's rated external static covers the longest run. Seal to the SMACNA class, insulate ducts in unconditioned space to the IECC R-value, and provide balancing dampers so the system can be commissioned to deliver the design airflow to every room. This tool gives the size, velocity and friction for each section; the surrounding decisions — shape, sealing, returns and balancing — turn those numbers into a comfortable, efficient system.

Limitations & Disclaimer

This calculator provides a professional first-pass duct size using standard ASHRAE friction data and typical velocity limits. It is not a substitute for a complete duct-design study (Manual D or an equal-friction/static-regain layout of the entire system) that accounts for every fitting, the full static-pressure budget, acoustic criteria, thermal insulation and the specific fan curve. Actual performance depends on construction quality, sealing, flex-duct routing and balancing. Confirm the final design with a detailed calculation and have it reviewed by a licensed mechanical engineer before construction.

Frequently Asked Questions

What size duct do I need for 400 CFM? +
At a typical residential velocity of 700–900 FPM, 400 CFM needs about a 9-inch round duct (or roughly a 10×8 rectangular). At a higher commercial velocity of 1,200 FPM it drops to about 8 inches. Because occupied-space ducts are limited by noise, size to the velocity for your application: residential ~700–900 FPM, general commercial ~1,500 FPM. Always confirm the resulting friction against the fan's available static pressure.
How do I convert a rectangular duct to an equivalent round? +
Use the equivalent-diameter formula De = 1.30 × (a·b)^0.625 ÷ (a+b)^0.25, where a and b are the two sides in inches. For example, a 16×12 duct gives De ≈ 15.1 inches. The equivalent round is what you read on a friction chart to find the pressure loss; the rectangle is what fits the available space. Keep the aspect ratio at or below 4:1 so the rectangle isn't much less efficient than the round.
What is a good friction rate for duct design? +
For low-pressure commercial systems the standard equal-friction rate is 0.08–0.10 inches of water gauge per 100 feet of duct. Residential systems often use around 0.08, and higher-pressure or industrial systems may run higher. Pick one rate and size every section to it — the equal-friction method naturally balances the system and is the most common approach in the ASHRAE Handbook.
What is the maximum air velocity in a duct? +
It depends on noise tolerance and application. Occupied-space branches near diffusers should stay below about 700–1,000 FPM to remain quiet; commercial mains run 1,500–2,000 FPM; and industrial or dust-collection ducts run 2,000–3,000+ FPM to keep particulate entrained. Exceeding the limit for a space causes objectionable noise even if the friction is acceptable, which is why occupied ducts are velocity-governed.
Why does duct aspect ratio matter? +
A rectangular duct with a high width-to-height ratio has more perimeter than a square or round duct of the same area, so it uses more sheet metal and generates more friction. A 4:1 duct uses roughly 40% more metal than a square of equal capacity. Keep the aspect ratio at or below 4:1 (ideally 3:1) and use round duct wherever headroom allows, since round is the most efficient shape per CFM.
How much does flexible duct affect sizing? +
Flexible duct has about 2–3 times the friction of smooth galvanized metal of the same diameter, and even more if it sags or is compressed. If you use flex, keep runs short and pulled tight, and either size up one diameter or account for the higher friction in your pressure tally. Long, sagging flex runs are one of the most common causes of poor airflow and high fan static in the field.
Do I need to include fitting losses when sizing ducts? +
Yes — elbows, tees, transitions and takeoffs frequently add more pressure loss than all the straight duct combined. Convert each fitting to an equivalent length or a loss coefficient and add it to the straight-duct friction along the longest (index) run. Sizing on straight length alone is a classic error that leaves the fan unable to deliver the design airflow.
What's the difference between the equal-friction and velocity methods? +
The equal-friction method picks one friction rate (e.g., 0.1 in. w.g./100 ft) and sizes every duct to it, which self-balances the system and is the most common commercial approach. The velocity method caps the velocity by application (lower in occupied areas for noise) and sizes to that limit. In practice, occupied-space ducts end up velocity-governed and mains end up friction-governed, so good designs use both checks together.
Is this duct calculator accurate for real HVAC design? +
It applies the ASHRAE friction relationships and standard velocity limits used by mechanical engineers, so it is reliable for sizing individual sections and for early design. A complete system still needs a full Manual D or equal-friction layout that tallies every fitting, the whole static-pressure budget, acoustics and the actual fan curve. Have the final design reviewed by a licensed mechanical engineer before construction.

Related Calculators

Related Articles

🧮 110 Free MEP Calculators

Browse all HVAC, Electrical, Plumbing, Fire, Gas and Mechanical calculators - IS/IBC/ASHRAE compliant, free PDF export.

Browse All Calculators →

⚠️ Disclaimer: For preliminary engineering design only. Verify all results with a licensed engineer before use. Full disclaimer →