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

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Presentation on theme: "Buckling Phenomena. Stability of Structures P< Elastic Hinge Analysis of Column (independent of  ) (How to find k?)"— Presentation transcript:

1 Buckling Phenomena

2 Stability of Structures P<

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

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

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

6 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

7 Extension of Euler’s Formula

8 Euler’s Formula for Clamp-ended Columns

9 Effective Length of Various Columns L


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