# 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:

 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.

 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