Parametric Design of Scroll-shaped Pylon of Single Tower Cable-stayed Bridge

Zheng Shi; Zhijuan Bai; Wu Xing; Wang Kai

doi:doi:10.11648/j.sd.20241205.14

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Parametric Design of Scroll-shaped Pylon of Single Tower Cable-stayed Bridge

Zheng Shi, Zhijuan Bai, Wu Xing^*, Wang Kai

Published in Science Discovery (Volume 12, Issue 5)

Received: 8 September 2024 Accepted: 25 October 2024 Published: 31 October 2024

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Abstract

Using single-tower cable-stayed bridge as example, this article introduces the design and construction process of a cable-stayed bridge with a scroll-shaped tower, as well as the optimization process and detailed design process of the steel structure of the scroll-shaped part of the bridge pylon.Based on Rhino+Grasshopper software, parametric design was used to design the bridge tower's shape while ensuring the balance of tower strength, stiffness, and stability. The shape was designed as close to the original landscape plan as possible, and the following work was conducted: (1) Determination of the the pylon’s overall proportion, based on Golden Section principle, including the size of three main elliptical sections at the top, bottom, and waist, as well as the determination of the circular arc transition in the middle, the pylon shape match perfectly with the landscape plan; (2) The shape of the tower crown is found by the golden section ratio plus helix, and the structure of the tower crown adopts double shell. The structural calculation shows that the strength and stiffness of the double shell meet the requirements when the inner and outer layers are 10~12mm thick and the ring stiffening +1 circle and 20 vertical stiffening every 1.5m; (3) To find the shape of the pylon’s turned edge, according to the shape of the rotary rising edge from the original model, by constructing the parameter of the control point, and generating the integral shape, adjusting the parameter until the shape meets the original pylon model. (4) After the concrete scroll edge and the main tower bottom are cast together, the stress distribution of the tower foundation scroll edge under permanent load, live load, and overall temperature rise and fall conditions is analyzed, and the proportion of its force sharing with the main tower is calculated, calculation shows that the main force of the flange is compression, which is consistent with the main tower structure. Only under the most unfavorable conditions with the maximum bending moment, there is a small tensile stress in the flange.

Published in	Science Discovery (Volume 12, Issue 5)
DOI	10.11648/j.sd.20241205.14
Page(s)	127-137
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Cable Stayed Bridge, Scroll-shaped Pylon, Turned Edge, Pylon Crown, Turned Edge at Pylon Bottom, Temperature Stress, Parametric Design

References

[1]	Rhinoceros&Grasshopper参数化建模 [M]. 湖北: 华中科技大学出版社, 2011. ISBN: 978-7-5609-7241-1.
[2]	«Grasshopper入门&晋级必备手册» [M]. 北京: 清华大学出版社, 2013. ISBN: 978-7-302-33438-5.
[3]	程罡, «Grasshopper参数化建模技术» [M]. 北京: 清华大学出版社, 2017. ISBN: 978-7-302-46842-4.
[4]	公路钢结构桥梁设计规范：JTG D64-2015[S]. 北京:人民交通出版社股份有限公司, 2015 ISBN: 978-7-114-12507-2.
[5]	赵佳男. 太原摄乐大桥主桥设计 [J]. 桥梁建设, 2021, 51(03): 116-122. ISSN: 1003-4722
[6]	周旋. 某超高层结构塔冠结构设计概况 [J]. 四川建材, 2020, 46(07): 64-66. https://doi.org/10.3969/j.issn.1672-4011.2020.07.032
[7]	杨永伟, 李凯, 邓露, 等.独塔斜拉桥钢-混结合段的试验与数值研究 [J]. 中外公路, 2022, 42(06): 62-71. https://doi.org/10.14048/j.issn.1671-2579.2022.06.011
[8]	钢结构设计标准：GB50017-2017 [S]. 北京: 中国建筑工业出版社, 2017.
[9]	王茜, 王春生, 俞欣等.钢桥塔的构造设计研究 [J]. 公路, 2008, 5: 46-50. ISSN: 0451-0712.

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APA Style

Shi, Z., Bai, Z., Xing, W., Kai, W. (2024). Parametric Design of Scroll-shaped Pylon of Single Tower Cable-stayed Bridge. Science Discovery, 12(5), 127-137. https://doi.org/10.11648/j.sd.20241205.14

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ACS Style

Shi, Z.; Bai, Z.; Xing, W.; Kai, W. Parametric Design of Scroll-shaped Pylon of Single Tower Cable-stayed Bridge. Sci. Discov. 2024, 12(5), 127-137. doi: 10.11648/j.sd.20241205.14

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AMA Style

Shi Z, Bai Z, Xing W, Kai W. Parametric Design of Scroll-shaped Pylon of Single Tower Cable-stayed Bridge. Sci Discov. 2024;12(5):127-137. doi: 10.11648/j.sd.20241205.14

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@article{10.11648/j.sd.20241205.14,
  author = {Zheng Shi and Zhijuan Bai and Wu Xing and Wang Kai},
  title = {Parametric Design of Scroll-shaped Pylon of Single Tower Cable-stayed Bridge
},
  journal = {Science Discovery},
  volume = {12},
  number = {5},
  pages = {127-137},
  doi = {10.11648/j.sd.20241205.14},
  url = {https://doi.org/10.11648/j.sd.20241205.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sd.20241205.14},
  abstract = {Using single-tower cable-stayed bridge as example, this article introduces the design and construction process of a cable-stayed bridge with a scroll-shaped tower, as well as the optimization process and detailed design process of the steel structure of the scroll-shaped part of the bridge pylon.Based on Rhino+Grasshopper software, parametric design was used to design the bridge tower's shape while ensuring the balance of tower strength, stiffness, and stability. The shape was designed as close to the original landscape plan as possible, and the following work was conducted: (1) Determination of the the pylon’s overall proportion, based on Golden Section principle, including the size of three main elliptical sections at the top, bottom, and waist, as well as the determination of the circular arc transition in the middle, the pylon shape match perfectly with the landscape plan; (2) The shape of the tower crown is found by the golden section ratio plus helix, and the structure of the tower crown adopts double shell. The structural calculation shows that the strength and stiffness of the double shell meet the requirements when the inner and outer layers are 10~12mm thick and the ring stiffening +1 circle and 20 vertical stiffening every 1.5m; (3) To find the shape of the pylon’s turned edge, according to the shape of the rotary rising edge from the original model, by constructing the parameter of the control point, and generating the integral shape, adjusting the parameter until the shape meets the original pylon model. (4) After the concrete scroll edge and the main tower bottom are cast together, the stress distribution of the tower foundation scroll edge under permanent load, live load, and overall temperature rise and fall conditions is analyzed, and the proportion of its force sharing with the main tower is calculated, calculation shows that the main force of the flange is compression, which is consistent with the main tower structure. Only under the most unfavorable conditions with the maximum bending moment, there is a small tensile stress in the flange.
},
 year = {2024}
}

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TY  - JOUR
T1  - Parametric Design of Scroll-shaped Pylon of Single Tower Cable-stayed Bridge

AU  - Zheng Shi
AU  - Zhijuan Bai
AU  - Wu Xing
AU  - Wang Kai
Y1  - 2024/10/31
PY  - 2024
N1  - https://doi.org/10.11648/j.sd.20241205.14
DO  - 10.11648/j.sd.20241205.14
T2  - Science Discovery
JF  - Science Discovery
JO  - Science Discovery
SP  - 127
EP  - 137
PB  - Science Publishing Group
SN  - 2331-0650
UR  - https://doi.org/10.11648/j.sd.20241205.14
AB  - Using single-tower cable-stayed bridge as example, this article introduces the design and construction process of a cable-stayed bridge with a scroll-shaped tower, as well as the optimization process and detailed design process of the steel structure of the scroll-shaped part of the bridge pylon.Based on Rhino+Grasshopper software, parametric design was used to design the bridge tower's shape while ensuring the balance of tower strength, stiffness, and stability. The shape was designed as close to the original landscape plan as possible, and the following work was conducted: (1) Determination of the the pylon’s overall proportion, based on Golden Section principle, including the size of three main elliptical sections at the top, bottom, and waist, as well as the determination of the circular arc transition in the middle, the pylon shape match perfectly with the landscape plan; (2) The shape of the tower crown is found by the golden section ratio plus helix, and the structure of the tower crown adopts double shell. The structural calculation shows that the strength and stiffness of the double shell meet the requirements when the inner and outer layers are 10~12mm thick and the ring stiffening +1 circle and 20 vertical stiffening every 1.5m; (3) To find the shape of the pylon’s turned edge, according to the shape of the rotary rising edge from the original model, by constructing the parameter of the control point, and generating the integral shape, adjusting the parameter until the shape meets the original pylon model. (4) After the concrete scroll edge and the main tower bottom are cast together, the stress distribution of the tower foundation scroll edge under permanent load, live load, and overall temperature rise and fall conditions is analyzed, and the proportion of its force sharing with the main tower is calculated, calculation shows that the main force of the flange is compression, which is consistent with the main tower structure. Only under the most unfavorable conditions with the maximum bending moment, there is a small tensile stress in the flange.

VL  - 12
IS  - 5
ER  -

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Author Information

Zheng Shi

Tongji Architectural Design (Group) Co., Ltd, Shanghai, People's Republic of China

Contact Email
Zhijuan Bai

Tongji Architectural Design (Group) Co., Ltd, Shanghai, People's Republic of China
Wu Xing

CCCC First Highway Consultants Co., Ltd, Xi’an, People’s Republic of China

Contact Email
Wang Kai

CCCC First Highway Consultants Co., Ltd, Xi’an, People’s Republic of China

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Plain Text BibTeX RIS

APA Style

Shi, Z., Bai, Z., Xing, W., Kai, W. (2024). Parametric Design of Scroll-shaped Pylon of Single Tower Cable-stayed Bridge. Science Discovery, 12(5), 127-137. https://doi.org/10.11648/j.sd.20241205.14

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ACS Style

Shi, Z.; Bai, Z.; Xing, W.; Kai, W. Parametric Design of Scroll-shaped Pylon of Single Tower Cable-stayed Bridge. Sci. Discov. 2024, 12(5), 127-137. doi: 10.11648/j.sd.20241205.14

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AMA Style

Shi Z, Bai Z, Xing W, Kai W. Parametric Design of Scroll-shaped Pylon of Single Tower Cable-stayed Bridge. Sci Discov. 2024;12(5):127-137. doi: 10.11648/j.sd.20241205.14

Copy | Download

@article{10.11648/j.sd.20241205.14,
  author = {Zheng Shi and Zhijuan Bai and Wu Xing and Wang Kai},
  title = {Parametric Design of Scroll-shaped Pylon of Single Tower Cable-stayed Bridge
},
  journal = {Science Discovery},
  volume = {12},
  number = {5},
  pages = {127-137},
  doi = {10.11648/j.sd.20241205.14},
  url = {https://doi.org/10.11648/j.sd.20241205.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sd.20241205.14},
  abstract = {Using single-tower cable-stayed bridge as example, this article introduces the design and construction process of a cable-stayed bridge with a scroll-shaped tower, as well as the optimization process and detailed design process of the steel structure of the scroll-shaped part of the bridge pylon.Based on Rhino+Grasshopper software, parametric design was used to design the bridge tower's shape while ensuring the balance of tower strength, stiffness, and stability. The shape was designed as close to the original landscape plan as possible, and the following work was conducted: (1) Determination of the the pylon’s overall proportion, based on Golden Section principle, including the size of three main elliptical sections at the top, bottom, and waist, as well as the determination of the circular arc transition in the middle, the pylon shape match perfectly with the landscape plan; (2) The shape of the tower crown is found by the golden section ratio plus helix, and the structure of the tower crown adopts double shell. The structural calculation shows that the strength and stiffness of the double shell meet the requirements when the inner and outer layers are 10~12mm thick and the ring stiffening +1 circle and 20 vertical stiffening every 1.5m; (3) To find the shape of the pylon’s turned edge, according to the shape of the rotary rising edge from the original model, by constructing the parameter of the control point, and generating the integral shape, adjusting the parameter until the shape meets the original pylon model. (4) After the concrete scroll edge and the main tower bottom are cast together, the stress distribution of the tower foundation scroll edge under permanent load, live load, and overall temperature rise and fall conditions is analyzed, and the proportion of its force sharing with the main tower is calculated, calculation shows that the main force of the flange is compression, which is consistent with the main tower structure. Only under the most unfavorable conditions with the maximum bending moment, there is a small tensile stress in the flange.
},
 year = {2024}
}

Copy | Download

TY  - JOUR
T1  - Parametric Design of Scroll-shaped Pylon of Single Tower Cable-stayed Bridge

AU  - Zheng Shi
AU  - Zhijuan Bai
AU  - Wu Xing
AU  - Wang Kai
Y1  - 2024/10/31
PY  - 2024
N1  - https://doi.org/10.11648/j.sd.20241205.14
DO  - 10.11648/j.sd.20241205.14
T2  - Science Discovery
JF  - Science Discovery
JO  - Science Discovery
SP  - 127
EP  - 137
PB  - Science Publishing Group
SN  - 2331-0650
UR  - https://doi.org/10.11648/j.sd.20241205.14
AB  - Using single-tower cable-stayed bridge as example, this article introduces the design and construction process of a cable-stayed bridge with a scroll-shaped tower, as well as the optimization process and detailed design process of the steel structure of the scroll-shaped part of the bridge pylon.Based on Rhino+Grasshopper software, parametric design was used to design the bridge tower's shape while ensuring the balance of tower strength, stiffness, and stability. The shape was designed as close to the original landscape plan as possible, and the following work was conducted: (1) Determination of the the pylon’s overall proportion, based on Golden Section principle, including the size of three main elliptical sections at the top, bottom, and waist, as well as the determination of the circular arc transition in the middle, the pylon shape match perfectly with the landscape plan; (2) The shape of the tower crown is found by the golden section ratio plus helix, and the structure of the tower crown adopts double shell. The structural calculation shows that the strength and stiffness of the double shell meet the requirements when the inner and outer layers are 10~12mm thick and the ring stiffening +1 circle and 20 vertical stiffening every 1.5m; (3) To find the shape of the pylon’s turned edge, according to the shape of the rotary rising edge from the original model, by constructing the parameter of the control point, and generating the integral shape, adjusting the parameter until the shape meets the original pylon model. (4) After the concrete scroll edge and the main tower bottom are cast together, the stress distribution of the tower foundation scroll edge under permanent load, live load, and overall temperature rise and fall conditions is analyzed, and the proportion of its force sharing with the main tower is calculated, calculation shows that the main force of the flange is compression, which is consistent with the main tower structure. Only under the most unfavorable conditions with the maximum bending moment, there is a small tensile stress in the flange.

VL  - 12
IS  - 5
ER  -

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