Revision of Engesser’s Approach to the Problem of Euler Stability for Built-Up Columns with Batten Plates

作者: A. G. Razdolsky

DOI: 10.1061/(ASCE)EM.1943-7889.0000677

关键词:

摘要: Solving the buckling problem for a battened column as statically indeterminate structure yields Euler critical load that is significantly higher than being obtained on basis of Engesser’s assumption. The stability reduced to numerically solving two-point boundary value system recurrence relations between deformation parameters adjacent joint cross sections column. expression each further section linear function preceding possible using initial-value method. For columns with any degree static indeterminacy, force determined smallest eigenvalue fourth-order homogeneous algebraic equations. A computer realization present method requires implementing reorthogonalization vectors particular solutions relations. Plots number panels can be constructed batten rigidity parameter. Applying these plots useful in selecting designed.

参考文章(11)
Stephen P. Timoshenko, Theory of Elastic Stability ,(1936)
Maurice A. Biot, Theodore Von Kármán, Mathematical methods in engineering : an introduction to the mathematical treatment of engineering problems Gakuzyutu Bunken Shuppansha. ,(1943)
Sanford M. Roberts, Jerome S. Shipman, Two-point boundary value problems: shooting methods ,(1972)
S. D. Conte, The Numerical Solution of Linear Boundary Value Problems Siam Review. ,vol. 8, pp. 309- 321 ,(1966) , 10.1137/1008063
A.G. Razdolsky, Flexural buckling of laced column with serpentine lattice The Ies Journal Part A: Civil & Structural Engineering. ,vol. 3, pp. 38- 49 ,(2010) , 10.1080/19373260903425477
Atle Gjelsvik, Buckling of Built‐Up Columns with or without stay plates Journal of Engineering Mechanics-asce. ,vol. 116, pp. 1142- 1159 ,(1990) , 10.1061/(ASCE)0733-9399(1990)116:5(1142)
A.G. Razdolsky, Calculation of slenderness ratio for laced columns with serpentine and crosswise lattices Journal of Constructional Steel Research. ,vol. 67, pp. 25- 29 ,(2011) , 10.1016/J.JCSR.2010.07.011
Mousumi Paul, Theoretical and Experimental Study on Buckling of Built-up Columns Journal of Engineering Mechanics-asce. ,vol. 121, pp. 1098- 1105 ,(1995) , 10.1061/(ASCE)0733-9399(1995)121:10(1098)
Alexander G. Razdolsky, Euler Critical Force Calculation for Laced Columns Journal of Engineering Mechanics-asce. ,vol. 131, pp. 997- 1003 ,(2005) , 10.1061/(ASCE)0733-9399(2005)131:10(997)
A. G. Razdolsky, Flexural buckling of laced column with crosswise lattice Proceedings of the Institution of Civil Engineers - Engineering and Computational Mechanics. ,vol. 161, pp. 69- 76 ,(2008) , 10.1680/EACM.2008.161.2.69