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:

Natural frequency of cantilever beam
 INPUT PARAMETERS
Parameter Value
Modulus of Elasticity [E]
Area Moment of Inertia [I]
Beam length [L]
Uniform load per unit length [w]

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

Reference: