# Ch7sol - 7.1 Eq(7.4.2 can be nondimensionalized to...

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7.1 Eq. (7.4.2) can be nondimensionalized to investigate the influence of the various parameters affecting the lateral-torsional buckling strength. (P7.1.1) where . After introducing the following identities: (P7.1.2) and the abbreviation (P7.1.3) one gets the following nondimensionalized buckling moment: (P7.1.4) For most wide flange shapes, Substituting these values into Eq. (P7.1.4) yields 1

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(P7.1.5) Plot the buckling curve ( vs.) for W2794 using Eqs. (P7.1.4). Limit < 500. Solution W2794, Fig. PS7-1 Buckling curve for W2794 7.2 Using Rayleigh-Ritz method, determine the critical uniformly distributed load for a prismatic simply supported beam. The load is applied at the centroid. Assume . Use What is the coefficient in association with Eq. (7.7.6)? Solution 2
The stability condition equation is 3

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When is expressed by the moment, the accuracy will be improved. The first term of the strain energy is then
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## This note was uploaded on 09/24/2011 for the course CIVL 3110 taught by Professor Melville during the Spring '08 term at Auburn University.

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Ch7sol - 7.1 Eq(7.4.2 can be nondimensionalized to...

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