Critical speed — Fixed at both ends, distributed mass
Critical speed of a shaft fixed at both ends. The mass of the shaft itself is treated as distributed along its length, so enter the total mass of the shaft. Rotation is restrained at both ends, so the critical speed is higher than for a simply supported shaft of the same dimensions.
Input
Shaft diameter
Young's modulus
Total mass of the shaft
Shaft length
Result
Second moment of area
Critical speed