某独斜塔地锚式预应力混凝土(PC)斜拉桥塔柱倾角优化分析

赵晓晋; 王凌波; 沈传东; 周先功

doi:10.11936/bjutxb2016060014

某独斜塔地锚式预应力混凝土(PC)斜拉桥塔柱倾角优化分析

doi: 10.11936/bjutxb2016060014

长安大学旧桥检测与加固技术交通行业重点实验室, 西安 710064

基金项目: 陕西省自然科学基础研究计划资助项目(2016JM5030)；中国博士后基金科技资助项目(2015M572511)

详细信息

作者简介:
作者简介: 赵晓晋(1989—), 男, 博士研究生, 主要从事桥梁结构体系方面的研究, E-mail:418336067@qq.com

中图分类号: U442;U448.27
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出版历程
- 收稿日期: 2016-06-07
- 网络出版日期: 2022-09-13
- 刊出日期: 2017-02-01

Pylon Inclination Optimized Analysis of One Single Inclined Pylon Earth-anchored Prestressed Concrete (PC) Cable-stayed Bridge

Key Laboratory of Old Bridge Detection Reinforcement Technology Ministry of Transport, Chang’an University, Xi’an 710064, China

摘要

摘要: 为了研究独塔地锚式预应力混凝土(prestressed concrete,PC)斜拉桥塔柱倾角的合理取值范围,采用非线性回归的方法,通过对某斜塔柱进行受力分析,得到最小塔柱倾角近似计算公式;推导拉索、锚碇、主梁、主塔的材料用量计算公式,并引入材料单价系数,对总造价与塔柱倾角及地锚背索倾角的关系进行分析,得到经济塔柱倾角近似计算公式. 结果表明:独斜塔地锚式PC斜拉桥最小塔柱倾角随主跨边索倾角的增大而增大,随轴力作用下容许压应力绝对值的增大而减小;经济塔柱倾角受地锚背索倾角及轴力作用下容许压应力的影响,地锚背索倾角及轴力作用下容许压应力绝对值越小,经济塔柱倾角越大;地锚背索倾角在一定范围内,总造价随塔柱倾角的减小先减小后增大,减小地锚背索倾角,可降低总造价;塔柱倾角a不宜小于60°,地锚背索倾角θ不宜小于43°.
- 桥梁工程 /
- 独斜塔地锚式预应力混凝土(PC)斜拉桥 /
- 塔柱倾角 /
- 非线性回归 /
- 材料用量 /
- 总造价
Abstract: In order to study the pylon inclination’s appropriate range of single inclined pylon earth-anchored prestressed concrete (PC) cable-stayed bridge, an approximate formula about minimum inclination of pylon was obtained by the nonlinear regression analysis methods and stress analysis of inclined pylon. The equations for material amounts of the cables, anchor, main beam and pylon were derived. The approximate formula about economical inclination of pylon was obtained by introducing the cost of per unit weight or volume of each material and the relationship between the cost of the entire bridge and the factors (the inclination of pylon and the inclination of earth-anchored cables) was analyzed. Results show that firstly, as for single inclined pylon earth-anchored cable-stayed bridge, the minimum inclination of pylon increases when the inclination of side cables at main span increases, and decreases when the allowable compression stress absolute value under the action of axial force increases. Secondly, the economical inclination of pylon is influenced by the inclination of earth-anchored cables and the allowable compression stress under the action of axial force. The economical inclination of pylon increases when the inclination of earth-anchored cables and the allowable compression stress absolute value under the action of axial force decrease. Thirdly, when the inclination of earth-anchored cables is within a given range, the cost of the entire bridge initially decreases, but then turns to increase with the decline of inclination of pylon. Decreasing the inclination of earth-anchored cables is beneficial to reducing the cost of the entire bridge. Finally, the inclination of pylon should be greater than 60° and the inclination of earth-anchored cables should be greater than 43°.
- bridge engineering /
- single inclined pylon earth-anchored prestressed concrete (PC) cable-stayed bridge /
- pylon inclination /
- nonlinear regression /
- material amounts /
- total cost
The authors have declared that no competing interests exist.

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图 1 背景工程整体布置图

Figure 1. Overall layout of background project

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图 2 一般结构简图

Figure 2. Sketch of general structure

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图 3 拉索材料用量计算简图

Figure 3. Calculation diagram of cable consumption

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图 4 斜塔柱在自重及斜拉索索力作用下的弯矩图

Figure 4. Moment sketch of inclined Pylon under self-weight and cable force

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图 5 a_min随φ及f_h的变化

Figure 5. Change of a_min alonge with the change of φ and f_h

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图 6 总造价随塔柱倾角a及地锚背索倾角θ的变化

Figure 6. Total cost change along with the change of pylon inclination a and the inclination θ of earth-anchored cables

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表 1 根据背景工程确定的计算参数

Table 1. Calculation parameter from background project

L_c/m	g₁/(kN·m^-1)	g₂/(kN·m^-1)	p/(kN·m^-1)	h₂/h₁	k_e
170	542.5	86.3	34.65	0.6	2

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表 2 根据调研确定的计算参数

Table 2. Calculation parameter from investigation

γ/(kN·m^-3)	f/(kN·m^-2)	γ/(kN·m^-3)	μ/(万元·m^-3)					基础造价/总造价
γ/(kN·m^-3)	f/(kN·m^-2)	γ/(kN·m^-3)	拉索		主塔	主梁一期	主梁二期	地锚
78.5	668000	26	24.03	0.55	0.41	0.12	0.11	1/5

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表 3 不同地锚背索倾角总造价最低时参数

Table 3. Parameter of minimum total cost to different inclination of earth-anchored cables

θ/(°)	41.9	45.0	50.0	55.0	60.0	64.5
a/(°)	90.0	84.0	77.0	72.0	67.5	64.5
D/万元	8131	8339	8613	8839	9032	9183

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