SIMPLY SUPPORTED BEAM NATURAL FREQUENCY

Simply supported beam natural frequency calculator 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 natural frequency formula for simply supported beam is $${ f }_{ n }=\frac { { K }_{ n } }{ 2\pi } \sqrt { \frac { EIg }{ w{ l }^{ 4 } } } $$

Here in the formula, I is area moment of inertia, l is length of the shaft, E is modulus of elasticity and w is uniform load.

INPUT PARAMETERS
Parameter	Value
Modulus of Elasticity [E]		GPa psi*10^6
Area Moment of Inertia [I]		mm^4 cm^4 inch^4 ft^4
Beam length [L]		mm cm m inch ft
Uniform load per unit length [w]		N/mm lbf/in

Note: Use dot "." as decimal separator.

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RESULTS
Parameter	Value
First natural frequency [f1]	---	Hz
Second natural frequency [f2]	---
Third natural frequency [f3]	---
Forth natural frequency [f4]	---
Fifth natural frequency [f5]	---

Simply Supported Beam Natural Frequency Formula:

Supplements:

• Vibration Calculators

Reference:

• Young, W. C., Budynas, R. G.(2002). Roark's Formulas for Stress and Strain . 7nd Edition, McGraw-Hill, Chapter 16 , pp 767 - 768