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:
Note: Use dot "." as decimal separator.
RESULTS 
Parameter 
Symbol 
Value 
Unit 
First natural frequency 
f_{1} 


Hz 
Second natural frequency 
f_{2} 


Third natural frequency 
f_{3} 


Forth natural frequency 
f_{4} 


Fifth natural frequency 
f_{5} 


List of Equations:
Parameter/Condition 
Symbol 
Equation 
Natural frequency of simply supported beam with uniform load
w per unit length including beam weight 
f_{n} 

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