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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, crosssectional 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.
 Spring '08
 PAPADOPOULOS
 Statics, Torsion

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