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Derive the Euler Buckling formula for column having fixed support at both ends

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.2.12P: Rigid column ABCD has an elastic support at B with translational stiffness ß. Find an expression for...

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Concept explainers

Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Question

Derive the Euler Buckling formula for column having fixed support at both ends.

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Step 1: Introduction

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Step 2: The drawing of fixed support at fixed ends with the expression of CF and PI

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Step 3: The expression of B

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Step 4: The final expression

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