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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 |
Author | Institution |
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. |