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Calcimator

Firestop Penetration Calculator

Calculate annular space, sealant volume, and packing depth for through-penetration firestop systems.

About this calculator

Annular space — the ring-shaped gap left between a round opening and the round pipe, conduit, or cable running through it — is pure circle geometry here: the engine computes the opening's area, subtracts the combined area of every penetrant (Penetrant diameter squared times Number of penetrants), and floors the result at zero so it can never go negative. Fill Ratio measures the same relationship the opposite way, as a percentage of the opening's area that the penetrants occupy, and it is NOT floored the way annular space is — if you enter a Penetrant diameter that's physically larger than the Opening diameter (an invalid combination in reality, but one the sliders allow), Fill Ratio keeps climbing past 100%, past 1000%, all the way to roughly 3600% at the maximum 36-inch penetrant against the default 6-inch opening, while Annular Space (sq in) sits pinned at exactly zero the entire time. Read the two outputs together with that in mind: a huge Fill Ratio with a zero Annular Space is the calculator telling you the entered penetrant physically will not fit through the entered opening, not a sign of an unusually tight-but-valid installation.

Sealant Volume and Material Cost both derive directly from Annular Space, so they collapse to zero under the same invalid combination. Wall thickness moves sealant volume linearly (it is the fill depth), and Number of Penetrants scales the combined penetrant area directly — five 2-inch pipes consume five times the area of one.

Inputs

in
in
in

Results

Annular space (sq in)

25.13

Sealant volume (fl oz)91.9
Fill ratio (%)11%
Mineral wool depth (in)5
Material cost ($)$46.30
Total installed cost ($)$70.30
How to Use This Calculator
  1. Enter Opening diameter (in) and Penetrant diameter (in) — the calculator computes Annular space (sq in) as the ring left between the two circles.
  2. Set Number of penetrants if more than one pipe or conduit shares the opening; their combined area is subtracted from the opening together.
  3. Enter Wall/floor thickness (in) — sealant volume scales with it linearly, since it sets the fill depth.
  4. Check Annular space (sq in) and Fill ratio (%) together: if Fill ratio is far above 100% while Annular space reads zero, the entered penetrant(s) are too large for the opening.
  5. Use Sealant volume (fl oz), Mineral wool depth (in), and Total installed cost ($) to plan material and labor.

How the result changes with Opening diameter (in)

Opening diameter (in)Annular space (sq in)
33.93
4.512.76
960.48
15173.57

What each input means

Opening diameter (in)
Diameter of the opening in the fire barrier.
Penetrant diameter (in)
Outer diameter of each pipe, conduit, or cable.
Wall/floor thickness (in)
Thickness of the fire-rated assembly.
Required fire rating (hrs)
Required hourly fire resistance rating (1, 2, 3, or 4 hr).
Number of penetrants
Number of pipes/conduits passing through the opening.

What each result means

Annular space (sq in)
Gap area between opening and penetrants.
Sealant volume (fl oz)
Firestop sealant needed including 10% waste factor.
Fill ratio (%)
Percentage of opening occupied by penetrants (max 40% typical).
Mineral wool depth (in)
Minimum packing depth per ASTM E814.
Material cost ($)
Estimated sealant and mineral wool cost.
Total installed cost ($)
Materials plus labor estimate.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Opening diameter (in) = 6, Penetrant diameter (in) = 2, Wall/floor thickness (in) = 6, Required fire rating (hrs) = 2 = 5 input(s) provided
  2. Calculate Annular space
    Annular space
    25.13 = 25.13
  3. Calculate Sealant volume
    Sealant volume
    91.9 = 91.9
  4. Calculate Fill ratio
    Fill ratio
    11 = 11%

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

Why does Annular space (sq in) read zero while Fill ratio (%) shows a huge number?

Annular space is floored at zero because a physical gap can never be negative — the engine subtracts the penetrant's combined area from the opening's area and stops at zero if that subtraction would go negative. Fill ratio has no such floor or ceiling; it keeps rising past 100% to show just how much larger the penetrant is than the opening, which is the calculator's way of flagging that the two dimensions you entered don't physically fit together.

How does Number of penetrants affect the annular space?

Each additional penetrant subtracts its own circular area from the opening, so the combined penetrant area scales directly with count — five 2-inch pipes occupy exactly five times the area of one. That combined area is what's subtracted from the opening area to get annular space, so more penetrants at a fixed opening size shrink the annular space (and can drive it to zero) even if no single pipe is larger than the opening.

Does Wall/floor thickness change the Annular space result?

No. Annular space is pure two-dimensional circle geometry — opening area minus penetrant area — and never references wall thickness. Thickness only enters afterward, as the depth multiplied against annular space to get Sealant volume, so a thicker wall raises the sealant estimate without changing the annular space figure itself.

What does the 10% added to Sealant Volume account for?

The engine multiplies the raw annular-space-times-thickness volume by 1.1 before converting to fluid ounces, an allowance for tooling waste and imperfect gun dispensing on real installations. It's a fixed 10% regardless of opening size, penetrant count, or wall thickness — it does not grow or shrink with the geometry.

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