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Linear Elastic Buckling

Units for force Example: \( N, kN, ... \)
Units for length Example: \( m, mm, ft, in, ... \)
$$L_0 = $$ \( \) Free buckling lenght (\( L_0 = \beta \cdot L\) with \( \beta = 0.5, .., 2.0 \) )
$$J_{min} = $$ \(^4 \) Minimum (inertia moment) second moment area for section considered
$$E = $$ \(/^2 \) Young Modulus for material considered (ex. steel \(E = 200 - 210 GPa \) )
$$N_{cr} = \pi^2 \frac{E J_{min}}{L_0^2} = $$ NAN

Reverse Engineering

$$N_{ed} = $$ Axial force
$$\alpha_{cr} = $$ Buckling factor (usually form Buckling Analysis)
$$N_{cr} = \alpha_{cr} \cdot N_{Ed} = $$ 0 Buckling force
$$J_{min} = $$ Please insert the \( J_{min} \) value in the form above. \(^4 \)
$$E = $$ Please insert the \( E \) value in the form above. \(/^2 \)
$$L_{0} = {( \pi^2 \cdot E \cdot J_{min} / N_{cr} )}^{0.5} = $$ NAN