Euler's Column Formula

Buckling of columns

Columns fail by buckling when their critical load is reached. Long columns can be analysed with the Euler column formula

P = n π2 E I / L2    (1) 


P = allowable load (lb, N)

n = factor accounting for the end conditions

E = modulus of elastisity (lb/in2, kPa)

L = length of column (in, m)

I = moment of inertia (in4, mm4)

Factor Counting for End Conditions

  • column pivoted in both ends : n = 1
  • one end fixed, the other end rounded : n = 2
  • both ends fixed : n = 4
  • one end fixed, one end free : n = 0.25

Related Topics

  • Beams and Columns - Deflection and stress, moment of inertia, section modulus and technical information of beams and columns

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