Driveshaft Critical Speed

Euler-Bernoulli first-mode critical RPM with safety-factor recommendation.

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Formula and source

Euler-Bernoulli first-mode whirl: N_crit (RPM) = (4.7 / L²) × sqrt((E × I) / (ρ × A)). Recommended max operating = 0.65 × N_crit (engineering-practice safety margin).

Euler-Bernoulli beam theory by name; AAM (American Axle) and Spicer / Dana driveshaft engineering manuals by name.

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