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Mechanical and structural analysis miscellaneous

Mechanics and Structural Analysis

  1. A long structural column (length = L) with both ends hinged is acted upon by an axial compressive load, P. The differential equation governing the bending of column is given by
    EI
    d2y
    = - py
    dx2

    Where y is the structural lateral deflection and EI is the flexural rigidity. The first critical load on column responsible for its buckling is given by
    1. π2EI
      L2
    2. 2π2EI
      L2
    3. 2EI
      L2
    4. 2EI
      L2
Correct Option: A

Effective length, L = l

Critical load, Pc =
π2
EI
L2



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