A timber column of length 6.0 m has a rectangular cross section (Figure P12.16). The modul...

A timber column of length 6.0 m has a rectangular cross section (Figure P12.16). The modulus of elasticity and the proportional limit of the wood are 8.3 GPa and 20.7 MPa, respectively. The end supports act as pins for deflections in the y direction and as elastic restraints (effective length factor K = 0.60) for deflection in the x direction.

a. Determine the critical buckling load using Euler's formula.

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b. Verify that the use of Euler's formula is justified.

FIGURE P12.16