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THE FEUTEX TOOLKIT

Cantilever First Bending Frequency

Estimate the first transverse mode of a uniform unloaded cantilever.

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Formulaf₁=β₁²/(2πL²)√(EI/ρA), β₁≈1.875104.
Sources and model references

How to use this tool

  1. Enter every input in the labeled units; use measured or independently specified properties.
  2. Check the stated model assumptions before calculating.
  3. Interpret the output as a model estimate and verify it independently for the intended application.

Try this example

{
  "length": 1,
  "e": 200000000000,
  "i": 1e-8,
  "rho": 7800,
  "area": 0.0001
}

Accuracy and scope

Uniform Euler–Bernoulli beam with perfect clamp, no added tip mass, axial load or shear-deformation correction. Educational engineering estimate only; not structural or safety certification, equipment selection, or operating recommendations.

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