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:

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 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
I Area moment of inertia
l Length of the shaft
E Modulus of elasticity
w Uniform load

Reference: