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.


Calculator:

Natural frequency of cantilever beam
 INPUT PARAMETERS
Parameter Symbol Value Unit
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 Symbol Value Unit
First natural frequency f1 --- Hz
Second natural frequency f2 ---
Third natural frequency f3 ---
Forth natural frequency f4 ---
Fifth natural frequency f5 ---


List of Equations:



Parameter/Condition Symbol Equation
Natural frequency of cantilever beam with uniform load w per unit length including beam weight fn Equation for natural frequencies of a cantilever beam

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: