Euler's formula for buckling load

Q.  The formula (π2 E A) / ( Le / K)2  is devised to determine buckling load by

where E = modulus of elasticity, Le = equivalent length, K = radius of gyration
- Published on 14 Sep 15

a. Rankine
b. Euler
c. J. B. Johnson
d. None of the above

ANSWER: Euler

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    Discussion

  • Sravanthi   -Posted on 30 Oct 15
    - Buckling load or critical load can be determined by using Euler formula, J.B. Johnson formula and Rankine formula.

    - Euler was the first to predict buckling failure of long columns.

    - Euler formula: Pcr = (π2 E A) / ( Le / K)2

    here, A = cross-section area, E = modulus of elasticity, K = radius of gyration, Le = equivalent length

    - Equivalent length (Le) is calculated using the formula: (Le) = L / √C

    here, C = end fixity coefficient, L = actual length

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