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Calculate the natural frequency of a shaft according Dunkerley's method

Calculate the natural frequency of a shaft according Dunkerley's method

Point load F1 N
Point load F2 N
Point load F3 N
Point load F4 N
Point load F5 N
Point load F6 N
Distance a1 mm
Distance a2 mm
Distance a3 mm
Distance a4 mm
Distance a5 mm
Distance a6 mm
Distance a7 mm
Diameter of the shaft mm
Elastic modulus of the shaft material N/mm2
Density of the shaft material kg/m3

The calculation result is:

Total length of the shaft ? mm
 
Deflection caused by F1 ? mm
Deflection caused by F2 ? mm
Deflection caused by F3 ? mm
Deflection caused by F4 ? mm
Deflection caused by F5 ? mm
Deflection caused by F6 ? mm
Deflection caused by the own weight of the shaft ? mm
 
Frequency associated with the deflection caused by F1 ? Hz
Frequency associated with the deflection caused by F2 ? Hz
Frequency associated with the deflection caused by F3 ? Hz
Frequency associated with the deflection caused by F4 ? Hz
Frequency associated with the deflection caused by F5 ? Hz
Frequency associated with the deflection caused by F6 ? Hz
Frequency associated with the deflection caused by the own weight of the shaft ? Hz
 
Natural frequency fn ? Hz
Critical speed associated with the natural frequency fn ? RPM

 

Enter your number values and press the Calculate! button to know the calculation result.

One is not obliged to enter all 6 forces and 7 distances.

Combinations 1 force and 2 distances, 2 forces and 3 distances, etc... are also allowed.