Simplified Analysis for Preliminary Design of Towers in Suspension Bridges

Choi, Dongho; Gwon, Sun-Gil; Na, Ho-Sung

doi:10.1061/(asce)be.1943-5592.0000551

Cited by 36 publications

(5 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since the main cable in each span is supported by fixed hinges, the equivalent horizontal force under dead load and live load can be calculated by assuming δ R − δ L = 0 ( 17 ).…”

Section: Simplified Calculation Modelmentioning

confidence: 99%

Simplified Calculation of Pylon Top Displacement of Multi-Pylon Suspension Bridge

Zhang

et al. 2019

Transportation Research Record: Journal of the Transportation R

View full text Add to dashboard Cite

The long-span multi-pylon suspension bridge is the subject of growing interest. Under live load, the longitudinal deflection of the mid-pylon is an important control parameter for a multi-pylon suspension bridge design. It is important to establish a simplified method of calculating pylon deflection for the preliminary design and selection of a multi-pylon suspension bridge. Based on deflection theory and deformation compatibility condition, considering main cable horizontal constraints and the interaction among pylons and girders with the methods of equivalent stiffness and moment distribution, the simplified calculation formulas of pylon displacement at the top for three-, four-, and five-pylon suspension bridges are derived. The validity of the formulas are verified by model experiment, real bridge testing, and finite-element analysis. For a floating system, the error between the simplified formula and the finite element method is less than 10%, and that of the model experiment is within 25%. For a consolidation system, the error between the simplified formula and the finite element method is within 16%, and that of the real bridge testing is less than 11%. As the number of pylons increases, the simplified formulas tend to be less accurate.

show abstract

“…Since the main cable in each span is supported by fixed hinges, the equivalent horizontal force under dead load and live load can be calculated by assuming δ R − δ L = 0 ( 17 ).…”

Section: Simplified Calculation Modelmentioning

confidence: 99%

Simplified Calculation of Pylon Top Displacement of Multi-Pylon Suspension Bridge

Zhang

et al. 2019

Transportation Research Record: Journal of the Transportation R

View full text Add to dashboard Cite

show abstract

“…Compared with the finite element model (FEM), the analytical model has the advantages of low calculation expense, convenient parameter discussion, and high accuracy and is widely used in the preliminary design stage of suspension bridges, providing a reference for the selection of bridge structural parameters (Choi et al, 2014;Zhang et al 2019bZhang et al , 2021cZhou et al, 2021). The deflection theory has been one of the most popular analytical methods, with a suitable numerical solution method (Del Arco and Aparicio 2001).…”

Section: Introductionmentioning

confidence: 99%

“…To simplify the solution of the differential equation of the stiffening girder, researchers often neglect the vertical stiffness contribution of the stiffening girder when establishing the simplified suspension bridge model and focus on solving the deformation of the main cable. Choi et al (2014) proposed the calculation formula of the equivalent horizontal stiffness of the main cable based on the conservation of the unstrained length. They applied it to the preliminary analysis of the suspension bridge tower.…”

Section: Introductionmentioning

confidence: 99%

Rock anchor hanger effect on single-tower earth-anchored suspension bridge mechanical performance: An analytical model and multi-objective golden eagle optimization

Chen,

Zhang

2024

Advances in Structural Engineering

View full text Add to dashboard Cite

The application of a composite saddle in single-tower earth-anchored suspension bridges (STEASBs) replaces the tower on the steep slope side, which is a cost-effective solution that improves bridge safety and provides environmental protection for the steep bank slope of the valley. However, this novel bridge design needs an appropriate model to evaluate the effect of rock anchor hangers on the structure in the non-girder area and adjust their parameters to optimize the mechanical response of the whole bridge structure. This study proposes an approach to quickly evaluate the most unfavorable load cases of the STEASB and further optimizes the structural parameters of rock anchor hangers to enhance structural safety. An analytical model for the STEASBs under the live load is proposed and verified by the finite element model (FEM), with the maximum relative error not exceeding 7.37%. Combined with the golden eagle optimizer (GEO), the most unfavorable load cases of the corresponding design indices are yielded. The Pareto optimal solutions for the spacing, cross-sectional area, and initial tension of the vertical rock anchor hangers are obtained through multi-objective optimization to improve the mechanical behavior of STEASBs. In addition, it is clarified that the main function of rock anchor hangers is to reduce the peak value of the stress amplitude of the hangers and girder-end rotation, providing a theoretical basis for the STEASB design.

show abstract

“…Three-tower suspension bridges have attracted intensive attention due to a much smaller bridge tower height, main cable area, and anchorage volume than traditional suspension bridges with the same structural parameters and the sum of spans. The well-known three-tower suspension bridges include the Taizhou Yangtze River Bridge (390 m + 2 × 1080 m + 390 m) (Zhang et al, 2015), the Maanshan Bridge (360 m + 2 × 1080 m + 360 m) (Zhang et al, 2012), the Yingwuzhou Yangtze River Bridge (225 m + 2 × 850 m + 225 m) (Cao et al, 2017), the New Millennium Bridge (225 m + 2 × 650 m + 225 m) (Choi et al, 2014), and the Oujiang Beikou Bridge (230 m + 2 × 800 + 348m ) (Cheng et al, 2020). However, it is difficult for the main cables on both sides of the mid-tower to provide effective horizontal restraints to resist live loads, and the excessive stiffness of the mid-tower leads to relative slippage between the main cable and the saddle.…”

Section: Introductionmentioning

confidence: 99%

Reliability-based assessment of reasonable mid-tower lateral stiffness for a three-tower suspension bridge

Chen¹,

Zhang²,

Liu

2023

Advances in Structural Engineering

View full text Add to dashboard Cite

A reasonable lateral stiffness of the bridge mid-tower should ensure that the deflection-to-span ratio and sliding resistance coefficient satisfy the design requirements. However, if this stiffness is determined by the deterministic parametric analysis, the above two verification indices may exceed the threshold due to the randomness of the high-dimensional structure and load parameters. To satisfy the structural safety requirements of a three-tower suspension bridge during its design life, this study proposes a method to quickly and accurately evaluate the reliability indices of the deflection-to-span ratio and sliding resistance coefficient of the three-tower suspension bridge. Based on advanced first-order second-moment, the proposed method transforms the reliability problem into an optimization problem with constraint functions, uses the single-cable theory to establish the limit state function, and combines the manta ray foraging optimization algorithm and penalty function to derive the reliability index. The effectiveness of the proposed method is verified by performing Latin hypercube sampling for an examplary three-tower suspension bridge. These results prove that the new technique avoids tedious finite element simulation and surrogate model fitting, ensuring the accuracy of the reliability index while improving the calculation efficiency. The study further identifies critical structural parameters by parametric analysis. Based on the inverse reliability, the dimensionless stiffness range for the mid-tower with the randomness of the parameters is derived, and the preliminary design method of the lateral stiffness of the mid-tower based on the reliability is established.

show abstract

Simplified Analysis for Preliminary Design of Towers in Suspension Bridges

Cited by 36 publications

References 9 publications

Simplified Calculation of Pylon Top Displacement of Multi-Pylon Suspension Bridge

Simplified Calculation of Pylon Top Displacement of Multi-Pylon Suspension Bridge

Rock anchor hanger effect on single-tower earth-anchored suspension bridge mechanical performance: An analytical model and multi-objective golden eagle optimization

Reliability-based assessment of reasonable mid-tower lateral stiffness for a three-tower suspension bridge

Contact Info

Product

Resources

About