International Workshop BQ

Chris' search for a buckling slide rule

Euler's buckling formula.

Sketch

Formula

Parameters:

  • P = Force [N] = Allowable compression force on the column
  • E = Young’s Modulus [Pa] or [N/m²] = material properties
  • I = Moment of Inertia [m4] = shape properties
  • K = Constant, depending on boundary conditions
  • L = Length [m]

Data:

  • Euler has presented around 1759 the basics of the buckling formula for columns.
  • In many engineering fields this formula is used to calculate the safety on collapsing by buckling of column type girders. Because it concerns individual items of a structure and not the integrated structure, it is used to calculate each member individually. So it is probably not easy to design a Slide Chart to covers many girders.

Question:

  1. Do you know Slide Charts for calculating Euler’s allowable force for specific columns of different shape and materials as steel, concrete, timber, aluminium, etc.