In the analysis of structures, Euler's formula holds good for __________.

Concept:

• Euler’s formula gives correct results only for very long columns.
• For short or long columns Rankine’s Formula is used.
• Load columns can be analysed with the Euler’s column formulas can be given as
• \(P = \frac{{{n^2}{\pi ^2}EI}}{{{L^2}}}\)
• For both end hinged, n = 1
• \(P = \frac{{{\pi ^2}EI}}{{{L^2}}}\)
• For one end fixed and other free, n = 1/2
• For both ends fixed, n = 2
• For one end fixed and other hinged, n = √2
• Effective length:
• \(L_{eq}=\frac{L}{n}\)
•