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发布日期:2021年04月12日



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.

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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] ---辣妞征集云盘辣妞征集云盘,辣妞征集bt辣妞征集bt
Fifth natural frequency [f5] ---

Simply Supported Beam Natural Frequency Formula:

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

Supplements:

Reference:




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