Buckling Phenomena. Stability of Structures P< Elastic Hinge Analysis of Column (independent of  ) (How to find k?)

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Presentation transcript:

Buckling Phenomena

Stability of Structures P<

Elastic Hinge Analysis of Column (independent of  ) (How to find k?)

Euler’s Formula for Pin-ended Columns (Eigen-value Problem)

Critical Stress in Pin-ended Columns Note: L/r is Slenderness Ratio

Consideration in Section Property Note: In the above formula, I is a minimum on the cross-section. Therefore, the buckling of columns has a selective direction. yy y zzz I is isotropic I y = I z I y < I z

Extension of Euler’s Formula

Euler’s Formula for Clamp-ended Columns

Effective Length of Various Columns L

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