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Mechanical Engineering

Euler’s Buckling Load Calculator

Mechanical Engineering

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Euler’s Buckling Load

Equation and meaning

\[( P_ \cdot ( ( Critical ) ) ) = ( ( ( ( \pi ^ 2 ) \cdot EI ) ) / ( ( k \cdot ( l ^ 2 ) ) ) )\]

Use this equation when the shown variables describe your problem. Keep all inputs in compatible units; the calculator converts them to SI internally before solving.

Variables in this formula

Critical — Critical
Enter this value unless it is the selected unknown.
EI — Ei
Enter this value unless it is the selected unknown.
k — K
Enter this value unless it is the selected unknown.
l — L
Enter this value unless it is the selected unknown.
P_ — P
Enter this value unless it is the selected unknown.

How to use this calculator

  1. Leave one value emptyThe empty field is automatically treated as the unknown.
  2. Enter known values and unitsChoose N, kgf, dyn, SI or another compatible unit when available.
  3. Review the automatic answerThe result appears immediately and is substituted back into the formula to check the residual.
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