\[ f \left\lbrack \text{Hz} \right\rbrack = \frac{17.75}{\sqrt{\delta\ \left\lbrack \text{mm} \right\rbrack}} \]
For derivation see [natural-frequency-simply-supported-bridge].
| Symbol | Description |
|---|---|
| \(f\) | Natural frequency |
| \(\delta\) | Deflection of structure under dead-load |
Simplified methods for finding the natural frequency of other bridge arrangements can be found: