In structural engineering, Johnson's parabolic formula is an empirically based equation for calculating the critical buckling stress of a column. The formula is based on experimental results by J. B. Johnson from around 1900 as an alternative to Euler's critical load formula under low slenderness ratio (the ratio of radius of gyration to effective length) conditions. The equation interpolates between the yield stress of the material to the critical buckling stress given by Euler's formula relating the slenderness ratio to the stress required to buckle a column.
Buckling refers to a mode of failure in which the structure loses stability. It is caused by a lack of structural stiffness.[1] Placing a load on a long slender bar may cause a buckling failure before the specimen can fail by compression.[2]
- ^ Rice University (2009). "Buckling Analysis". Retrieved from https://www.clear.rice.edu/mech403/HelpFiles/FEA_Buckling_analysis.pdf
- ^ Dornfeld, W (27 October 2016. "Machine Design". Fairfield University. Retrieved from http://www.faculty.fairfield.edu/wdornfeld/ME311/ME311MachineDesignNotes07.pdf