Out of plane buckling critical force of upper chord of a semi-through emergency steel truss beam

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (17) : 96-104.

ZHAO Man1, CHEN Shitong2,3,4, SUN Zhixing2,3,4, XU Hongwei1, HUANG Xiaoming5

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Abstract

According to the structural features and buckling features of half-through emergency steel truss girder, its upper chord was simplified as continuous beam under lateral elastic bearings. Four plane models were established considering axial force, bearing conditions and deflection curve equation. The analytical solutions of critical buckling load were derived using energy method. The whole models for half-through girder of different span were built. Through comparison between the theoretical results and simulation results, the advantages, disadvantages and their applicability were discussed in order to give an optimization method convenient for engineering application. The results show: they are different in the forms of stability equation and analytical solution for buckling load of four plane models; On the basis of calculation formula of critical stiffness, according to the relation between the actual stiffness and critical stiffness, the buckling half-wave number can be determined preliminarily. Stability of half-through girders is related to span. With the span increasing, linear elastic stability coefficient decreases gradually, and half-wave number of buckling mode slightly increased, but maximum axial force of upper chord basically remain unchanged. Compare with the whole model and method of document, calculation results of model Ⅰ and Ⅱ over-conservative, so they are not suitable to be used directly. Calculation error of model Ⅲ and Ⅳ is small. Calculation process of model Ⅳ is complex, and that of model Ⅲ is simple and practical. Comprehensively considered accuracy and practicality, model Ⅲ is recommended as preferred method for critical buckling force.

Key words

bridge engineering / half-through steel truss girder / critical buckling load / energy method / out-of-plane buckling / plane model

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ZHAO Man1, CHEN Shitong2,3,4, SUN Zhixing2,3,4, XU Hongwei1, HUANG Xiaoming5. Out of plane buckling critical force of upper chord of a semi-through emergency steel truss beam[J]. Journal of Vibration and Shock, 2023, 42(17): 96-104

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