Practical analytical expression to strain influence line of varying cross section catenary fixed arch
Received:April 25, 2021  Revised:June 02, 2021
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DOI:10.7511/jslx20210425002
KeyWord:fixedarch  varying cross section catenary  strain influence line  elastic centermethod  practical analytical expression
           
AuthorInstitution
周宇 安徽建筑大学 土木工程学院, 合肥 ;安徽省BIM工程中心, 合肥
许成超 安徽建筑大学 土木工程学院, 合肥 ;安徽省BIM工程中心, 合肥
赵青 安徽建筑大学 土木工程学院, 合肥
王雪忠 安徽建筑大学 土木工程学院, 合肥
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Abstract:
      In view of the present situation that there is no analytical solution to the strain influence line of the variable-section catenary hingeless arch,this paper simplified the force method equation by using the elastic center method,simplified the curvilinear integral of the variable-section catenary hingeless arch by using the Ritter cross-section variation law,and then derived the closed-form solution expression of the variable-section catenary hingeless arch strain influence line.Then the analytical results are compared with the finite element analysis results.The maximum relative error between the numerical solution and the finite element result is less than 2%.The axial force effect varies with the ratio of the span to the position of the measuring point.The formulas presented in this paper have high engineering accuracy and reference value for calculation and analysis.