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Cantilever Beam Natural Frequency Calculator

Estimate first bending frequency of a uniform Euler–Bernoulli cantilever beam using supplied material and section properties.

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f₁ = β₁²/(2πL²)√(EI/(ρA)), β₁=1.875104. Uniform beam, fixed-free, no tip mass or damping.

A QUICK WALKTHROUGH

How to use this tool

  1. Enter values in the displayed units.
  2. Review the model assumptions and formula.
  3. Calculate locally in your browser.

Model and assumptions

f₁ = β₁²/(2πL²)√(EI/(ρA)), β₁=1.875104. Uniform beam, fixed-free, no tip mass or damping. This calculation is not a machine safety, structural, or equipment approval.

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Common questions

Does this assess resonance safety?

No. It evaluates the stated idealized model only.