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Examveda

According to Euler's column theory, the crippling load for a column length $$l$$ hinged at both ends, is

A. $$\frac{{{\pi ^2}{\text{E}}I}}{{{l^2}}}$$

B. $$\frac{{{\pi ^2}{\text{E}}I}}{{4{l^2}}}$$

C. $$\frac{{4{\pi ^2}{\text{E}}I}}{{{l^2}}}$$

D. $$\frac{{2{\pi ^2}{\text{E}}I}}{{{l^2}}}$$

Answer: Option A


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Comments ( 1 )

  1. Atif Muneer
    Atif Muneer :
    2 years ago

    Both end fixed L = l/2 and Load = pi^2 * E * I/((l/2)^2),
    Both end Hinged L = l and Load = pi^2 * E * I/(l^2),

    one Fixed another Hinged L = l/Root 2,
    one end fixed another free L = 2 * l.

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