ME85-Lecture26 - Lecture 26 Introduction to Stability...

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Unformatted text preview: Lecture 26 Introduction to Stability Marble Analogy Consider model with two rods and torsional spring. After a small perturbation, ( ) moment ing destabiliz 2 sin 2 moment restoring 2 = = = L P L P K Column is stable (tends to return to aligned orientation) if ( ) L K P P K L P cr 4 2 2 = < < Assume that a load P is applied. After a perturbation, the system settles to a new equilibrium configuration at a finite deflection angle. ( ) sin 4 2 sin 2 = = = cr P P K PL K L P Noting that sin < , the assumed configuration is only possible if P > P cr . 1.The objective of structure stability analysis is to find the critical load for designed equilibrium state . 2. In order to find the critical load, one has to study neutral equilibrium condition. Lecture 27 Buckling of Elastic Columns Stability of Structures In the design of columns, cross-sectional area is selected such that- allowable stress is not exceeded all A P...
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This note was uploaded on 01/21/2012 for the course C 85 taught by Professor Papadopoulos during the Spring '08 term at University of California, Berkeley.

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ME85-Lecture26 - Lecture 26 Introduction to Stability...

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