# CANTILEVER BEAM NATURAL FREQUENCY

Cantilever beam natural frequency calculator to calculate natural frequency of a uniform beam with length L and uniform load w per unit length including beam weight. Beam is fixed from one end and the other end is free (cantilevered beam). The formula used for cantilever beam natural frequency calculations is: $${ f }_{ n }=\frac { { K }_{ n } }{ 2\pi } \sqrt { \frac { EIg }{ w{ l }^{ 4 } } }$$. E in the formula is modulus of elasticity and I is the area moment of inertia. First five mode of vibrations are found by the calculator.

### Cantilever Beam 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 Parameters:

 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