Case Study: Buckling Load
E is the Young's modulus of the column material, or the elasticity of the column material. I is the area moment of inertia of the cross-section, and L is the length of the columns. The equation above is just a general equation. The calculation usually depending on the end conditions of the columns. Some of the common end conditions is in the figure 1.
Figure 1. End Conditions
Figure 2. Effective Lengths of the End Conditions
The table in figure 2 above shows an effective lengths of the column based on the end conditions in which L represents the actual length of the column.
http://www.amesweb.info/CompressionMemberDesign/CompressionMemberDesign.aspx
The link above is one of the sites that was built to calculate the buckling load of the columns.
Links:
http://www.efunda.com/formulae/solid_mechanics/columns/columns.cfm
http://www.amesweb.info/CompressionMemberDesign/CompressionMemberDesign.aspx
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