Beam Natural Frequency Calculator
First bending frequency of a simply supported beam — resonance and vibration screening.
Walking pumps energy at ~2 Hz and its harmonics — gyms and dance floors at 4–6 Hz natural frequency bounce alarmingly. Mass helps; stiffness helps more.
Formula
Beam Natural Frequency Calculator is a free beam natural frequency for structural engineers, fabricators and site engineers — instant, accurate and 100% client-side, with the governing formula and reference shown next to the result so the number can be defended, not just quoted.
About Beam Natural Frequency Calculator
First bending frequency of a simply supported beam — resonance and vibration screening. The calculation implements f₁ = (π/2)·√(EI/μL⁴) (AISC Design Guide 11 — floor vibrations). Walking pumps energy at ~2 Hz and its harmonics — gyms and dance floors at 4–6 Hz natural frequency bounce alarmingly. Mass helps; stiffness helps more.
How to use Beam Natural Frequency Calculator
- 1Enter Span in m.
- 2Enter E in GPa.
- 3Enter I in cm⁴.
- 4Enter Mass per metre (incl. loads) in kg/m.
- 5Read First natural frequency instantly — no submit button needed.
- 6Need US units? Flip the SI/Imperial toggle and every field converts.
Why use Beam Natural Frequency Calculator?
- ✓Implements the standard formula — f₁ = (π/2)·√(EI/μL⁴)
- ✓Reference cited on-page: AISC Design Guide 11 — floor vibrations
- ✓One-click SI ⇄ Imperial toggle — values convert in place, physics stays in SI
- ✓Live worked example: the substitution recomputes from your numbers
- ✓Built-in engineering verdict flags out-of-range results instantly
- ✓Runs entirely in your browser — nothing uploaded, free forever
Frequently asked questions
What formula does the Beam Natural Frequency Calculator use?+
It computes f₁ = (π/2)·√(EI/μL⁴), per AISC Design Guide 11 — floor vibrations. The formula is displayed under the result along with a worked example substituted with your own inputs.
What should I keep in mind when using this calculator?+
Walking pumps energy at ~2 Hz and its harmonics — gyms and dance floors at 4–6 Hz natural frequency bounce alarmingly. Mass helps; stiffness helps more.
Can I use this for real structural design?+
It implements the exact textbook/code formula cited below the result and is ideal for sizing, checking and learning. Final designs should be verified by a qualified engineer against the full code with all load cases.
Is the Beam Natural Frequency Calculator free to use?+
Yes — completely free, no sign-up, no limits. It runs client-side in your browser, so inputs stay private and results are instant even on slow connections.
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