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001566

2024-09-09

Solving Differential Equation Using Trivial Solutions of Boundary Conditions

Solving Differential Equation Using Trivial Solutions of Boundary Conditions

α \cdot L = n \cdot π

Smaller eigenvalue for n=1 corresponds to the smallesr and thus critical buckling load.

\sqrt{\frac{N}{EI}} \cdot L = π | {(. .)}^{2}

\frac{N}{EI} \cdot L^{2} = π^{2} | \cdot \frac{EI}{L^{2}}

N = \frac{π^{2} \cdot EI}{L^{2}}

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