Buckling Coefficient

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Buckling coefficient, abbreviated as \(k_{cr}\), a dimensionless number, is an instability that leads to a failure mode.  When a structure is subjected to compressive stress, buckling may occure.  Buckling is characterized by a sudden sideways deflection of a structural member.

 

Buckling coefficient formula

\(\large{ k_{cr} =   \left(  \frac{  n \; w }{ l }  \;+\;  \frac{ l }{  n \; w }  \right)^2   }\) 
Symbol English Metric
\(\large{ k_{cr} }\) = buckling coefficient \(\large{dimensionless}\)
\(\large{ n }\) = number of half sine curvatures that occure lengthwise \(\large{dimensionless}\)
\(\large{ l }\) = length of member \(\large{in}\) \(\large{mm}\)
\(\large{ w }\) = width of member \(\large{in}\) \(\large{mm}\)

 

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Tags: Strain and Stress Equations Structural Steel Equations Structural Equations