Volume 22 Issue 5
Oct.  2022
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Article Navigation >  Journal of Traffic and Transportation Engineering  > 2022  >  22(5): 217-230
ZHANG Guo-jing, LIU Yong-jian, LIU Jiang. Analytical solution and calculation method of reasonable arch axis of through arch bridge[J]. Journal of Traffic and Transportation Engineering, 2022, 22(5): 217-230. doi: 10.19818/j.cnki.1671-1637.2022.05.013
Citation: ZHANG Guo-jing, LIU Yong-jian, LIU Jiang. Analytical solution and calculation method of reasonable arch axis of through arch bridge[J]. Journal of Traffic and Transportation Engineering, 2022, 22(5): 217-230. doi: 10.19818/j.cnki.1671-1637.2022.05.013
shu

Analytical solution and calculation method of reasonable arch axis of through arch bridge

doi: 10.19818/j.cnki.1671-1637.2022.05.013
  • 1.

    School of Highway, Chang'an University, Xi'an 710064, Shaanxi, China

  • 2.

    Research Center of Highway Large Structure Engineering on Safety of Ministry of Education, Chang'an University, Xi'an 710064, Shaanxi, China

Funds:

National Key Research and Development Program of China 2016YFC0701202

National Natural Science Foundation of China 51178051

Fundamental Research Funds for the Central Universities 300102219310

More Information
    Abstract
  • To obtain the analytical solution and calculation method of the reasonable arch axis of through arch bridge, the dead load action mode and differential equation of the reasonable arch axis were established, and the analytical solution of the reasonable arch axis was determined. Based on the analytical solution, the dead load ratio of main arch was defined. Based on the rise-span ratio and dead load ratio of main arch, a quick calculation method of the reasonable arch axis was obtained. The reliability of the proposed method was confirmed by arch bridge design specifications, engineering cases, and related research achievements. Research results show that the dead load action mode of through arch bridge can be equivalent to the combination of continuous uniform dead load and arch dead load, the reasonable arch axis is catenary, and the corresponding arch axis coefficient is determined by the rise-span ratio and dead load ratio of main arch. The fitted functional relationships between the arch axis coefficients and dead load ratios of main arch under different rise-span ratios are a linear correlation, and the determination coefficients are greater than 0.99, indicating that the fitted equations are accurate. The rise-span ratio of through arch bridge is between 1/3 and 1/8 in engineerings, and the range of the corresponding arch axis coefficient is between 1.000 and 1.792. The common rise-span ratio ranges from 1/4 to 1/5, and the corresponding arch axis coefficient ranges from 1.000 to 1.465. The calculation results are in good agreement with the statistical results of arch axis coefficients of engineering cases, indicating that the calculation results are reliable. The common dead load ratio of main arch ranges from 0.1 to 0.5, and the corresponding arch axis coefficient ranges from 1.102 to 1.364. The calculation results are close to the value ranges in the arch bridge design specification, which proves the rationality of value range in the arch bridge design specification. When the dead load ratio of main arch is less than 0.5 and the rise-span ratio is less than 1/7, or the dead load ratio of main arch is less than 0.1, the arch axis coefficient is close to 1.000. As a result, the quadratic parabola can be used as reasonable arch axis. The reasonable arch axis equation can be obtained quickly by the look-up table method and simplified formula method. Compared with the mature research achievements, the deviations of bending moments, eccentricities and sums of squared eccentricities of main arch cross-section are within 5%, which proves the correctness of the solution method.

     

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