# STRING VIBRATION CALCULATOR

String vibration calculator to calculate natural frequency of a string vibrating laterally under a tension T with both ends fixed. String vibration formula is given below the calculator.

### String Vibration Calculator:

 INPUT PARAMETERS Parameter Value Tension [T] N kN lbf 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] ---

### String Vibration Formula:

 Parameter Natural frequency of a string under a tension T with both ends fixed and a uniform load w per unit length including own weight  [f] $$f=\frac { { K }_{ n } }{ 2\pi } \sqrt { \frac { Tg }{ w{ l }^{ 2 } } }$$

 Symbol Parameter Kn A constant where n refers to the mode of vibration. Mode 1 - Kn = π Mode 2 - Kn = 2π Mode 3 - Kn = 3π T Tension l Length of the string w Uniform load