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.


Simply Supported Beam Natural Frequency Calculator:

Natural frequency of simply supported 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 simply supported 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 = 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: