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Critical Buckling Load Calculator

Critical Buckling Load Calculator

    \[ P_{cr} = \frac{\pi^2 E I}{L_e^2}, \quad \L_e = k L \]

With

Pcr = Critical buckling load

E = Elastic modulus

I = Moment inertia of Area

Le = Effective length

L = Column Length

    \[ \text{Pinned-Pinned (Both ends pinned):} \quad k = 1 \\ \]

    \[ \text{Fixed-Fixed (Both ends fixed):} \quad k = 0.5 \\ \]

    \[ \text{Fixed-Free (One end fixed, other free):} \quad k = 2 \\ \]

    \[ \text{Fixed-Pinned (One end fixed, other pinned):} \quad k = \frac{\sqrt{2}}{2} \approx 0.707 \]

Related Module(s):

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Author: Caesar Wiratama