Calculation Theory of Shear Stress Distribution in Box Girder with Corrugated Steel Webs Based on the Energy Method

Abstract

In the shear design of corrugated steel web bridges, the shear stress distribution in the web is a more critical issue. In order to solve the calculation problem of shear stress distribution in corrugated steel webs, an energy-based method of calculating shear stress distribution in corrugated steel webs was proposed. This method uses the energy method as the basic principle, and through the basic idea that the external work is equal to the sum of the longitudinal strain energy and the transverse strain energy of the bridge, the proportion of shear force shared by each web is calculated, and the shear force distribution coefficient characterizes the proportion of shear force shared by each web. The method is applied to calculate the shear stress distribution coefficients of a single-box, six-cell corrugated steel web box girder bridge, and a finite element model of the bridge was established. The finite element calculation results were compared with the results of the energy method to analyze the accuracy of the shear force distribution coefficients of each web calculated by the energy method. The analysis results show that the method can analyze the shear force distribution between multiple corrugated steel webs more accurately and provide a basis for the shear design of this type of bridge.

Strain Energy and Entropy Based Scaling of Buckling Modes

“…In thermodynamics, any equilibrium state can be characterized either as a state of maximum entropy for a given energy or as a state of minimum energy for a given entropy [30]. In structural mechanics, the strain energy and the principle of minimum total potential energy exist in many applications [31][32][33][34][35][36][37][38][39][40], but the principle of maximum entropy is not commonly considered. Equation ( 22) establishes a link between structural mechanics and thermodynamics.…”