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Unformatted text preview: Analyze Buckling and Determine the Critical Load . cos sin : : 2 1 2 1 2 2 2 2 conditions boundary upon depend C and C x EI P C x EI P C y of form the has Solution y EI P dx y d yields Combining Py M dx y d EI M Experimental Demonstration of Buckling of Columns (http://en.wikipedia.org/wiki/File:Buckledmodel.JPG) Roundedrounded Ends ,... 3 , 2 , 1 sin : 2 # : 1 # 1 2 n where n l EI P for true is This l EI P C l x at y BC C x at y BC Lowest Critical Load (n=1) The critical load is a function of: Youngs modulus (material property) Crosssectional geometry Length The strength of the material is NOT a factor. 2 2 l EI P cr Rewriting in terms of the critical load/area: 2 2 2 2 2 2 2 2 2 2 r cr r r cr S E A P k l S Ak I A I k S EA l EAk l EI P...
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This note was uploaded on 02/08/2012 for the course ME 3180 taught by Professor Staff during the Spring '08 term at Georgia Institute of Technology.
 Spring '08
 Staff
 Machine Design, Stress

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