Buckling Coefficient

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	\(\large{dimensionless}\)
\(\large{ w }\) = width of the member	\(\large{in}\)	\(\large{mm}\)
\(\large{ l }\) = length of the member	\(\large{in}\)	\(\large{mm}\)