Critical Speeds of Rotating Shafts with Distributed Loads - First Critical Speed

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Critical Speeds of Rotating Shafts or Mass Review

Critical Speeds of Rotating Shafts with Distributed Loads - First Critical Speed : When calculating critical speeds, the weight or mass of the rotating cylinder or shaft is assumed to be zero or add 1/2 to 2/3 of the rotating shaft to the load mass. These formulas assume steel shafts having a modulus of elasticity E = 29,000,000. Keep in mind that a shaft with more than one load or distributed loads may have an infinite number of critical speeds. Typically, the first critical speed is most important for your design.

Load Configuration
Equation
Critical Speeds of Rotating Shafts with Distributed Loads
  Critical Speeds of Rotating Shafts with Distributed Loads
Critical Speeds of Rotating Shafts with Distributed Loads
Critical Speeds of Rotating Shafts with Distributed Loads

Critical Speeds of Rotating Shafts with Distributed Loads

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Critical Speeds Rotating Shaft Fixed End Distributed Load Calculator

 

N = critical speed, RPM
d = diameter of shaft, (inches, mm)
W = load applied to shaft, (lbs, Kg)
Δ = maximum shaft deflection, (inches, mm)
l = distance between centers of bearings, (inches, mm)
a = distance from bearings to load, (inches, mm)
b = distance from bearings to load, (inches, mm)

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