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Mass Law Acoustic Sound Transmission Loss (STL) Calculator

For non-porous single-leaf walls and partitions below the coincidence frequency, sound transmission is governed by mass inertia.

Mass per unit area of the barrier (e.g. drywall, glass, concrete).

Acoustic wave frequency to evaluate.

Calculated Result
33.3 dB

Sound Transmission Loss (Field)

Normal Incidence STL

38.3 dB

Transmission Coeff (τ)

4.647e-4

Mass-Frequency Product (m·f)

11000 kg·Hz/m²

Calculation Breakdown

  1. Mass Law FormulaSTL ≈ 20 · log₁₀(m · f) - 47.5 = 20 · log₁₀(22 · 500) - 47.5 = 33.3 dB
  2. Acoustic Energy Transmittedτ = 10^(-STL/10) = 4.647e-4 (0.0465%)

What Is the Mass Law Acoustic Sound Transmission Loss (STL) Calculator?

Sound Transmission Loss (STL) measures the decibel reduction in acoustic power passing through a partition barrier.

How Does the Mass Law Acoustic Sound Transmission Loss (STL) Calculator Work?

Calculates acoustic impedance inertia resistance from panel surface density and frequency.

Mass Law Acoustic Sound Transmission Loss (STL) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

ext{STL} approx 20 log_{10}(m cdot f) - 47.5 ext{ dB}, quad au = 10^{- ext{STL}/10}

Acoustic mass law for random-incidence sound transmission loss through limp panels.

How to Use the Mass Law Acoustic Sound Transmission Loss (STL) Calculator

  1. Enter the wall surface density in kg/m² and the frequency of interest in Hz.

Step-by-Step Example Calculation

Drywall Partition Sound Isolation

Input Values:

surfaceMassDensityKgPerM2:22
frequencyHz:500
Worked Steps: Computes field STL of 33.3 dB with only 0.046% of incident sound power transmitted.

Understanding Your Result

Higher STL values indicate superior soundproofing; transmission coefficient indicates the fractional energy transmitted.

Factors That Affect the Result

  • Panel stiffness, resonant panel modes, and critical coincidence dip frequencies where bending waves match airborne sound.

When Should You Use This Calculator?

  • Architectural soundproofing, building code STC rating predictions, and industrial noise enclosure specification.

Assumptions & Limitations

  • Valid in the mass-controlled region below the critical coincidence frequency; assumes limp single-leaf partition.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Theoretical mass law approximation for field sound incidence.

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