单圆管CFST拱桥面外弹性分支屈曲临界荷载计算方法

doi:10.13229/j.cnki.jdxbgxb.20221582

Abstract

Abstract:

The concrete-filled steel tubular （CFST） arch bridges with circular tube ribs usually adopt the sparsely arranged transverse braces， which have a large shear deformation in the out-of-plane instability， it is not suitable to use the existing calculation method based on the assumption that shear deformation is not considered. Taking the lattice columns with sparsely battened plates as the research object， the calculation formula of elastic stability bearing capacity of lattice columns considering the shear deformation is derived. Based on the calculation formula of elastic stability bearing capacity of lattice column and by employing the equivalent beam-column method， the calculation formula of out-of-plane elastic stability bearing capacity considering shear deformation for CFST arch bridge with circular tube ribs is proposed. The parameter analysis on the standard CFST arch bridges with circular tube ribs are carried out by finite element （FE） method， the results are compared with the calculation results according to formulas considering and without considering shear deformations， and formulas recommended by the existing codes and references. The results of research show that in the scope of structure dimensions commonly used in engineering， the results obtained by recommended formulas in existing codes and references are one order of magnitude smaller than those obtained by finite element method， they are not suitable for the calculation of out-of-plane elastic stability bearing capacity of CFST arch bridge with circular tube ribs. The error between FE analysis and proposed calculation formula of out-of-plane elastic stability bearing capacity considering shear deformation for CFST arch bridge is within 15%， which has a large precision improvement and good applicability.

Key words: bridge engineering, concrete-filled steel tube arch bridge, single circular tube, out-of-plane, elastic stability, bearing capacity calculation

CLC Number:

TU391

Qing-wei HUANG,Qing-xiong WU,Bao-chun CHEN,Kang-ming CHEN,Zhi-wei YE. Calculation method of out-of-plane elastic stability bearing capacity for concrete-filled steel tubular arch bridges with circular tube ribs[J].Journal of Jilin University(Engineering and Technology Edition), 2024, 54(10): 2930-2940.

Figures/Tables 18

Fig.1

Table 1

Size summaries of standard arch bridges"

跨径/m	D $l 1$ /m	D $l 2$ /m	矢跨比f/l	钢管管径/mm	钢管壁厚/mm	横撑管径/mm	横撑壁厚/mm
50	15	10	1/5	850	16	425	16
65	19.5	13	1/5	1000	16	500	16
75	22.5	15	1/5	1100	16	550	16

Table 1

Fig.2

Fig.3

Fig.4

Fig.5

Fig. 6

Fig.7

Table 2

Summary of elastic stability capacity of the 50 m standard arch bridge"

项目		计算公式
项目		考虑剪切变形	不考虑剪切变形	JTG 3362—2018	吴恒立
剪切系数μ		770.39	770.39	—	—
剪切影响系数α₀		1.140×10^-2	1.315×10^-4	1.313×10^-4	1.319×10^-4
弹性分支屈曲临界荷载P_cr/N		5.405×10⁷	4.986×10⁶	4.979×10⁶	5.001×10⁶
有限元结果P $c r F E M$ /N	拱肋模型	4.656×10⁷
有限元结果P $c r F E M$ /N	全桥模型	4.735×10⁷

Table 2

Fig.8

Fig.9

Fig.10

Fig.11

Fig.12

Fig.13

Fig.14

Fig.15

Fig.16

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Calculation method of out-of-plane elastic stability bearing capacity for concrete-filled steel tubular arch bridges with circular tube ribs

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