SIMPLY SUPPORTED BEAM NATURAL FREQUENCY

Simply supported 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 simply supported from both ends. The formulas used for simply supported beam natural frequency calculations are given in the "List of Equations" section.


Calculator:

Natural frequency of simply supported 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 simply supported beam with uniform load w per unit length including beam weight fn Equation for  natural frequency of a simply supported beam

Symbol Parameter
Kn A constant where n refers to the mode of vibration.
Mode 1 - Kn = 9.87
Mode 2 - Kn = 39.5
Mode 3 - Kn = 88.8
Mode 4 - Kn = 158
Mode 5 - Kn =247
I Area moment of inertia
l Length of the shaft
E Modulus of elasticity
w Uniform load

Reference: