# CANTILEVER BEAM NATURAL FREQUENCY

Cantilever beam natural frequency calculator was developed to calculate natural frequency of a uniform beam with uniform load w per unit length including beam weight. Beam is fixed from one end and the other end is free (cantilevered beam). The formulas used for cantilever beam natural frequency calculations are given in the "List of Equations" section.

### Cantilever Bbeam Natural Frequency Calculator:

 INPUT PARAMETERS Parameter Value Modulus of Elasticity [E] GPa psi*10^6 Area Moment of Inertia [I] mm^4 cm^4 inch^4 ft^4 Beam length [L] mm cm m inch ft Uniform load per unit length [w] N/mm lbf/in

Note: Use dot "." as decimal separator.

 RESULTS Parameter Value First natural frequency [f1] --- Hz Second natural frequency [f2] --- Third natural frequency [f3] --- Forth natural frequency [f4] --- Fifth natural frequency [f5] ---

### List of Equations:

 Equation Natural frequency of cantilever beam with uniform load w per unit length including beam weight [fn] $${ f }_{ n }=\frac { { K }_{ n } }{ 2\pi } \sqrt { \frac { EIg }{ w{ l }^{ 4 } } }$$

 Symbol Parameter Kn A constant where n refers to the mode of vibration. Mode 1 - Kn = 3.52 Mode 2 - Kn = 22.0 Mode 3 - Kn = 61.7 Mode 4 - Kn = 121 Mode 5 - Kn =200 I Area moment of inertia l Length of the shaft E Modulus of elasticity w Uniform load