💨 Inputs

Round Duct
Rectangular Duct
Equivalent Diameter
Main trunk: 800–1200 FPM; branch: 500–800 FPM

📊 Results

📚 SMACNA Velocity Limits

ApplicationRecommended (FPM)Max (FPM)
Supply air — main trunk600–12001500
Supply air — branch duct400–8001000
Return air — main trunk500–8001000
Return air — branch duct300–600800
Exhaust / relief500–10001500
Aspect ratio (max)≤4:1 preferred; 8:1 absolute max
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About This Calculator

This duct area and size calculator turns an airflow and a target velocity into a duct size. Work in three modes: enter CFM and velocity to get the required round diameter and area, enter CFM with a height limit to get a rectangular width × height plus equivalent-diameter alternatives, or enter a rectangular width and height to read off its equivalent diameter and aspect ratio. Each result is checked against SMACNA velocity ranges and the 4:1 aspect-ratio guideline.

Velocity sets both noise and the duct's footprint. Sizing inside the recommended band keeps air quiet at the diffuser while avoiding oversized, costly ductwork. The rectangular-alternatives table makes it easy to fit a duct into a tight ceiling plenum without pushing the aspect ratio — and therefore friction and cost — too high.

Formula & Method

AreaA (ft²) = Q (CFM) ÷ V (FPM)
Round diameterD = √(4 · A ÷ π)  (A in in²)
Rect. widthW = A ÷ H  (A in in², H = height)
Equiv. diameterDe = 1.3 · (a · b)0.625 ÷ (a + b)0.25
Aspect ratioAR = W ÷ H

The core relation is the continuity equation A = Q ÷ V, with 144 used to convert between square feet and square inches. The round diameter inverts the circle area A = π · (D ÷ 2)². The equivalent-diameter constant 1.3 and the 0.625 / 0.25 exponents follow the ASHRAE Fundamentals equation for the round duct with friction loss equal to a rectangular duct of sides a and b. Recommended velocity ranges and the ≤4:1 aspect-ratio preference follow standard SMACNA duct-design practice.

Frequently Asked Questions

How do I find the duct area from CFM and velocity?
Divide the airflow by the velocity. Cross-sectional area in square feet equals CFM divided by velocity in feet per minute (FPM). For example, 1,200 CFM at 800 FPM needs 1,200 / 800 = 1.5 ft squared, which is 216 square inches. This calculator does that division, then converts the area to a round diameter or a rectangular width and height.
How is the round duct diameter calculated from the area?
The diameter comes from inverting the circle-area formula: D = the square root of (4 times A divided by pi), with the area A in square inches. The tool then suggests the next larger standard round size and reports the actual velocity at that standard size so you can confirm it still falls inside the recommended range.
What is equivalent diameter and why does it matter?
Equivalent diameter is the round duct that has the same friction loss as a given rectangular duct, not the same area. It is computed as De = 1.3 times (a times b) raised to the 0.625 power, divided by (a plus b) raised to the 0.25 power, where a and b are the rectangular sides. It lets you compare rectangular and round ducts on equal footing when checking pressure drop.
Why keep the duct aspect ratio at or below 4:1?
A high aspect ratio (a flat, wide duct) increases surface area, sheet-metal cost, and friction loss for the same airflow. Per standard SMACNA practice, an aspect ratio of 4:1 or lower is preferred and 8:1 is the absolute maximum. The calculator flags any rectangular alternative that exceeds 4:1 so you can choose a squarer, more efficient shape.

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Results are design estimates for preliminary sizing. Verify final designs against applicable codes and standards — engineering judgment and a licensed professional engineer’s review are required.