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Calcimator

Duct Sizing Calculator

Size round or rectangular ductwork using the equal friction method based on CFM and desired friction rate.

About this calculator

This calculator sizes ductwork using the equal-friction method from SMACNA's HVAC Duct Construction Standards -- the industry-standard approach of picking a single design friction rate and solving the duct sizing chart for the diameter that delivers a given airflow at that friction rate, rather than targeting a fixed velocity. Pressure Drop is simply Friction Rate echoed back -- the two are identical by definition, since Friction Rate is entered in the same "WC/100ft units this calculator reports pressure drop in, so Airflow, Duct Shape, and Aspect Ratio have zero effect on it. Round Duct Diameter comes from Airflow and Friction Rate through the equal-friction sizing formula, and Airflow has roughly twice the proportional pull on diameter that Friction Rate does -- the formula raises Airflow to the 0.378 power and Friction Rate to the -0.199 power, so a given percentage change in Airflow moves diameter about twice as much as the same percentage change in Friction Rate.

Duct Shape and Aspect Ratio have no effect on Round Duct Diameter itself; they only come into play afterward, converting that round diameter into an equivalent rectangle. At the default Round shape, Rectangular Width and Height stay at zero regardless of Aspect Ratio, since aspect ratio only has meaning once you switch Duct Shape to Rectangular -- selecting Rectangular for an 830 CFM, 0.08 "WC/100ft duct at the default 2:1 aspect ratio produces roughly a 20x10 inch duct in place of a 14 inch round one, at a lower air velocity for the same airflow (roughly three-quarters of the round duct's velocity, since the rectangular cross-section is about 30% larger). This tool implements the SMACNA equal-friction method for straight duct runs; it does not size fittings, transitions, or account for elevation changes.

Inputs

CFM
"WC/100ft

Residential: 0.08" WC/100 ft; Commercial: 0.06–0.10"; VAV systems: 0.06–0.08" WC/100 ft

Results

Round Duct Diameter

14 inches

≈ 4 credit cards

Rectangular Width0 inches
Rectangular Height0 inches
Air Velocity776 FPM
Pressure Drop0.08 "WC/100ft

Figures current as of 2020. Source: SMACNA, HVAC Duct Construction Standards — Metal and Flexible, 4th Edition (2020), equal-friction sizing method and rectangular-equivalent-diameter formula

How to Use This Calculator
  1. Enter Airflow, Friction Rate, and Duct Shape.
  2. Set Aspect Ratio (W:H).
  3. Review the Round Duct Diameter (inches) result.
  4. Use Rectangular Width (inches) and Rectangular Height (inches) to inform your decision.

How the result changes with Airflow

AirflowRound Duct Diameter
41512 inches
62314 inches
1,24516 inches
2,07520 inches

What each input means

Airflow
Required airflow through the duct section in cubic feet per minute.
Friction Rate
Design friction rate in inches of water column per 100 feet. SMACNA HVAC Duct Construction Standards recommends 0.08–0.10" WC/100 ft for residential and 0.06–0.10" for commercial.
Duct Shape
Duct cross-section shape: 1 = Round, 2 = Rectangular.
Aspect Ratio (W:H)
Width-to-height ratio for rectangular ducts. SMACNA recommends keeping aspect ratio below 4:1 to minimize friction and fabrication costs; above 5:1 significantly increases pressure loss.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Airflow = 830, Friction Rate = 0.08, Duct Shape = 1, Aspect Ratio (W:H) = 2 = 4 input(s) provided
  2. Calculate Round Duct Diameter
    14 = 14
  3. Calculate Rectangular Width
    0 = 0
  4. Calculate Rectangular Height
    0 = 0

Figures and sources

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Does duct shape or aspect ratio change the round duct diameter?

No -- Round Duct Diameter is computed from Airflow and Friction Rate only. Duct Shape and Aspect Ratio are applied afterward, to convert that round diameter into an equivalent rectangular width and height; they never feed back into the round diameter calculation itself.

Does airflow or friction rate matter more for sizing the duct?

Airflow has roughly twice the proportional influence. The equal-friction formula raises Airflow to the 0.378 power and Friction Rate to the -0.199 power, so a given percentage change in Airflow moves Round Duct Diameter about twice as much as the same percentage change in Friction Rate.

Why do Rectangular Width and Height show zero at the default settings?

They only populate when Duct Shape is set to Rectangular. At the default Round shape, aspect ratio has no physical meaning -- a round duct has no width-to-height ratio to speak of -- so both fields stay at zero until you switch Duct Shape.

Why is Pressure Drop always exactly equal to my entered Friction Rate?

Because they are the same quantity -- Friction Rate is entered in inches of water column per 100 feet, the same unit Pressure Drop reports, and the calculator's equal-friction method sizes the duct so that the design friction rate you specify IS the resulting pressure drop. Airflow, Duct Shape, and Aspect Ratio have no bearing on this value.

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