Rayleigh Ritz Method Critical Speed Formula & Calculator

Rotating Shaft Critical Speed (Nc) Calculation

Δst - Total static deflection in m
g - Standard gravity

Rayleigh Ritz method critical speed calculator - formula & step by step calculation to find the critical speed Nc of a rotating shaft. Nc = [(30/π) x √(g/Δst)]. Standard gravity g = 9.81 m/s2 & the shaft total deflection Δst in meter are the key terms of this calculation. This method recommends that the rotating shaft or object speed should not be exceeded more than 75% of it's critical speed.


In mechanical engineering, the below mathematical formula is used to calculate the rotating shaft's critical speed.
formula to calculate critical speed N<sub>c</sub> of a rotating shaft

In the field of mechanical engineering, sometime, it's important to analyse the critical speed of a rotating shaft. The above formula & step by step calculation may useful for users to understand how the values are being used in the formula, however, when it comes to online for quick calculations, this Rayleigh Ritz method critical speed calculator helps the user to perform & verify such calculations as quick as possible.