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Critical speed — Fixed at one end and supported at the other, distributed mass

Critical speed of a shaft fixed at one end and supported at the other. The mass of the shaft itself is treated as distributed along its length, so enter the total mass of the shaft. The critical speed falls between the simply supported and the fixed-at-both-ends cases.

Diagram: Critical speed Fixed at one end and supported at the other, distributed mass

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Input

Shaft diameter
DD
Young's modulus
EE
Total mass of the shaft
mm
Shaft length
LL

Result

Second moment of area
II
Critical speed
ωc\omega_c
Fixed-pinned, distributed mass — Critical Speed Calculator | Updraft - Mechanical Engineering Calculators