装配式小箱梁桥内力横向分布系数建议公式

doi:10.13229/j.cnki.jdxbgxb.20221079

Abstract

Abstract:

In order to simplify the stress analysis process by using the concept of transverse distribution factor （TDF） for the multi-girder fabricated continuous girder bridges， skew bridges and curved bridges， the bridge database based on a multi girder fabricated continuous small box girder bridge was established， and the finite element model of each bridge was built by using the grillage method. The influence of the girder spacing， height span ratio， skew angle and center angle on the transverse distribution coefficient of internal force was investigated， and the formulae of the transverse distribution factor of internal forces were proposed by statistical regression method. The results show that the transverse distribution factors of bending moment and shear force increase with the development of the girder spacing； With the increase of the height span ratio of the main beam λ， the transverse distribution factors for mid-span positive bending moment increases， but decrease for that of the mid-span shear force and the negative bending moment and shear force at the support； The transverse distribution factor of internal force in skew bridges and curved bridges can be obtained by multiplying the modification factor with the formula of straight orthogonal bridges. Within the scope of the calculation model in this paper， the transverse distribution factors of internal forces of multi-girder fabricated continuous girder bridges， skew bridges and curved bridges obtained by the proposed formulae are in good agreement with the finite element results， and the transverse distribution factors of internal forces of any section can be obtained by the simplified envelope diagram along the longitudinal direction.

Key words: bridge construction, prefabricated bridge, transverse distribution factor, continuous small box-girder bridge, skewed bridge, curved bridge

CLC Number:

U448.25

Yan-ling ZHANG, JIAYun-fei,Xiao-yuan JIA,Wang ZHENG,Yun-sheng LI. Proposed formulae for transverse distribution factor of internal forces of prefabricated small box-girder bridge[J].Journal of Jilin University(Engineering and Technology Edition), 2024, 54(6): 1688-1700.

Figures/Tables 30

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References 18

1	American Association of State Highway & Transportation Officials. AASHTO LRFD bridge design specifications[EB/OL].[2022-08-15].
2	Bernardi P, Cerioni R, Leurini F, et al. A design method for the prediction of load distribution in hollow-core floors[J]. Engineering Structures, 2016, 123: 473-481.
3	Zhao Y, Cao X Z, Zhou Y J, et al. Lateral load distribution for hollow slab bridge: field test investigation [J]. International Journal of Concrete Structures and Materials, 2020, 14:No. 22.
4	战家旺, 高胜星, 闫宇智,等. 基于模型修正的公路简支板梁桥荷载横向分布系数计算方法[J]. 中国公路学报, 2019, 32(5): 72-79.
	Zhan Jia-wang, Gao Sheng-xing, Yan Yu-zhi, et al.A calculation method for transverse load distribution coefficient of highway simply-supported slab-girder bridges based on model updating[J]. China J Highw Transp, 2019,32(5): 72-79.
5	王渠, 吴庆雄, 陈康明, 等. 拼宽空心板桥荷载横向分布计算方法[J]. 中国公路学报, 2019, 32(7): 57-65.
	Wang Qu, Wu Qing-xiong, Chen Kang-ming, et al. Calculation method of load transverse-distribution for widening hollow slab bridge[J]. China J Highw Transp, 2019,32(7): 57-65.
6	Tevfik T, Mary B D H, John B M. Live load distribution factors for spread slab beam bridges[J]. J Bridge Eng, 2017, 22(10): No. 04017067.
7	邬晓光, 魏俊杰. 宽幅装配式箱梁桥荷载横向分布系数计算[J]. 沈阳建筑大学学报:自然科学版, 2020, 36(1): 76-85.
	Wu Xiao-guang, Wei Jun-jie. Calculation of load transverse distribution coefficient of wide assembled box girder bridge[J]. Journal of Shenyang Jianzhu University (Natural Science), 2020,36(1): 76-85.
8	何伟南, 周怀治, 王银辉. 多室宽箱梁桥横向分布计算的刚接梁法[J]. 公路交通科技:应用技术版, 2016, 12(1): 212-216.
	He Wei-nan, Zhou Huai-zhi, Wang Yin-hui. Rigid-jointed girder method for transverse distribution calculating of wide multi-cell box girder bridges[J]. Journal of Highway and Transportation Research and Development (Application Technology Edition), 2016,12(1): 212-216.
9	闫林君, 张经伟, 罗奎. 装配式多主梁钢-混组合梁桥的荷载横向分布研究[J]. 公路交通科技, 2020, 37(3): 59-69.
	Yan Lin-jun, Zhang Jing-wei, Luo Kui. Study on lateral load distribution of prefabricated multi-girder steel-concrete composite girder bridge[J]. Journal of Highway and Transportation Research and Development, 2020, 37(3): 59-69.
10	Kong S Y, Zhuang L D, Tao M X, et al. Load distribution factor for moment of composite bridges with multi-box girders[J]. Engineering Structures, 2020, 215(10): No. 110716.
11	Ma L, Zhou L Y, Wan S. Study of the calculation method of lateral load distribution on a continuous composite box girder bridge with corrugated steel webs[J]. Journal of Highway and Transportation Research and Development, 2014, 8(2): 42-46.
12	聂鑫, 樊健生, 付裕. 箱形截面连续组合梁桥的荷载横向分布[J]. 清华大学学报:自然科学版, 2009, 49(12): 1930-1933, 1938.
	Nie Xin, Fan Jian-sheng, Fu Yu. Transverse load distribution on box section continuous composite steel-concrete bridges[J]. Journal of Tsinghua University (Sci＆Tech), 2009,49(12): 1930-1933, 1938.
13	余泉. 多箱式连续小箱梁桥受力特性的分析及其试验研究[D]. 杭州: 浙江大学建筑工程学院, 2006.
	Yu Quan. Analysis of structure behavior of continuous multi-box girder bridges and its experimental study[D]. Hangzhou: College of Civil Engineering and Architecture, Zhejiang University, 2006.
14	Huang H X, Shenton H W. Chajes M J. Load distribution for a highly skewed bridge: testing and analysis[J]. J Bridge Eng, 2004, 9(6): 558-562.
15	Fatemi S J, Mohamed Ali M S, Sheikh A H. Load distribution for composite steel-concrete horizontally curved box girder bridge[J]. Journal of Constructional Steel Research, 2016, 116: 19-28.
16	魏志刚, 刘寒冰, 时成林, 等. 考虑桥面铺装作用的简支梁桥横向分布系数计算[J]. 吉林大学学报:工学版, 2018, 48(1): 105-112.
	Wei Zhi-gang, Liu Han-bing, Shi Cheng-lin, et al. Calculation of transverse distribution coefficient of simply supported beam bridge with effect of bridge deck pavement[J]. Journal of Jilin University (Engineering and Technology Edition), 2018, 48(1): 105-112.
17	张学龙. 小箱梁的梁格划分及虚拟横梁刚度分析研究[D]. 西安: 长安大学公路学院, 2013.
	Zhang Xue-long. Study and analysis on beam meshing and the virtual beam stiffness of Small box girder [D]. Xi'an: School of Highway, Chang'an University, 2013.
18	管路, 贾鹏, 向天华,等. 组合小箱梁横向分布系数影响因素分析研究[J]. 福建建材, 2020(6): 10-13.
	Guan Lu, Jia Peng, Xiang Tian-hua, et al. Analysis of the influencing factors on the transverse distribution factor of the composite small box girder[J]. Fujian Building Materials, 2020(6): 10-13.

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内力类型	位置	工况（i）	拟合公式形式	相关系数R²
M_l_/2	边梁	1	m_λ =0.652 8e^{-0.000 2/（}^λ^{-0.038 3）}	0.985 0
M_l_/2	中梁	2	m_λ =0.640 9e^{-0.000 7/（}^λ^{-0.027 3）}	0.986 9
M₀	边梁	3	m_λ =0.644 8e^{0.000 7/（}^λ+^{0.004 5）}	0.988 7
M₀	中梁	4	m_λ =0.622 6e^{0.003 0/（}^λ+^{0.068 8）}	0.989 0
Q₀	边梁	5	m_λ =0.740 5e^{0.020 7/（}^λ^{-0.014 7）}	0.986 8
Q₀	中梁	6	m_λ =0.746 0e^{0.025 1/（}^λ^{+0.000 1）}	0.983 8
Q_l_/2	边梁	7	m_λ =0.639 1e^{0.002 1/（}^λ^{+0.129 8）}	0.991 2
Q_l_/2	中梁	8	m_λ =0.606 6e^{0.000 9/（}^λ^{+0.006 4）}	0.989 7

内力类型	位置	工况（i）	拟合公式	相关系数R²
M_l_/2	边梁	1	m_D =0.268 7D^{1.106 0}	0.999 8
M_l_/2	中梁	2	m_D =0.308 7D^{0.959 0}	0.999 3
M₀	边梁	3	m_D =0.263 1D^{1.136 5}	0.999 6
M₀	中梁	4	m_D =0.309 5D^{0.924 0}	0.998 2
Q₀	边梁	5	m_D =0.682 6D^{0.752 8}	0.994 6
Q₀	中梁	6	m_D =0.742 1D^{0.592 1}	0.999 9
Q_l_/2	边梁	7	m_D =0.255 1D^{1.159 1}	0.999 0
Q_l_/2	中梁	8	m_D =0.350 0D^{0.906 7}	0.999 6

内力类型	位置	工况（i）	主梁间距D		主梁高跨比λ=H/L
内力类型	位置	工况（i）	b_D	R²	b_λ	c_λ	R²
M_l_/2	边梁	1	1.106 0	0.999 8	-0.000 2	-0.038 3	0.985 0
M_l_/2	中梁	2	0.959 0	0.999 3	-0.000 7	-0.027 3	0.986 9
M₀	边梁	3	1.136 5	0.999 6	0.000 7	0.004 5	0.986 7
M₀	中梁	4	0.924 0	0.998 2	0.003 0	0.068 8	0.989 0
Q₀	边梁	5	0.752 8	0.994 6	0.020 7	-0.014 7	0.986 8
Q₀	中梁	6	0.592 1	0.999 9	0.025 1	0.000 6	0.983 8
Q_l_/2	边梁	7	1.159 1	0.999 0	0.002 1	0.129 8	0.991 2
Q_l_/2	中梁	8	0.906 7	0.999 6	0.000 9	0.006 4	0.989 7

内力类型	位置	工况（i）	拟合公式形式	k_i
M_l_/2	边梁	1	m₁=k₁D^{1.106 0}e^{-0.000 2/（}^λ^{-0.038 3）}	0.271 9
M_l_/2	中梁	2	m₂=k₂D^{0.959 0}e^{-0.000 7/（}^λ^{-0.027 3）}	0.313 8
M₀	边梁	3	m₃=k₃D^{1.136 5}e^{0.000 7/（}^λ^{+0.004 5）}	0.260 6
M₀	中梁	4	m₄=k₄D^{0.924 0}e^{0.003 0/（}^λ^{+0.068 8）}	0.321 9
Q₀	边梁	5	m₅=k₅D^{0.752 8}e^{0.020 7/（}^λ^{-0.014 7）}	0.425 1
Q₀	中梁	6	m₆=k₆D^{0.592 1}e^{0.025 1/（}^λ^{+0.000 6）}	0.543 0
Q_l_/2	边梁	7	m₇=k₇D^1.1591e^{0.002 1/（}^λ^{+0.129 8）}	0.259 0
Q_l_/2	中梁	8	m₈=k₈D^{0.906 7}e^{0.000 9/（}^λ^{+0.006 4）}	0.329 5

编号	跨度/m	主梁宽度/m	主梁片数	主梁高度/m	高跨比
1	4×10	1.875	8	0.9	0.090
2	4×12	1.875	8	0.9	0.075
3	4×20	1.875	8	1.0	0.050
4	4×20	2.220	5	1.8	0.090
5	4×24	2.220	5	1.2	0.050
6	4×16	2.500	6	1.6	0.100
7	4×20	2.500	6	1.5	0.075
8	4×28	2.500	6	1.6	0.057
9	4×10	3.000	5	0.9	0.090
10	4×14	3.000	5	0.9	0.064
11	4×22	3.000	5	1.1	0.050
12	4×20	5.000	3	1.8	0.090
13	4×20	5.000	3	1.7	0.085
14	4×24	5.000	3	1.8	0.075
15	4×28	5.000	3	1.8	0.064
16	4×32	5.000	3	1.8	0.056

Proposed formulae for transverse distribution factor of internal forces of prefabricated small box-girder bridge

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内力类型	位置	工况（i）	拟合公式形式
M_l_/2	边梁	1	1.019 6-0.019 2（cos θ）^10.83
M_l_/2	中梁	2	1.180 8-0.099 7（cos θ）^0.96
M₀	边梁	3	1.015 8+0.034 5（cos θ）^3.94
M₀	中梁	4	1.000 7+0.210 2（cos θ）^1.96
Q₀	边梁	5	0.880 9+0.479 9（cos θ）^0.55
Q₀	中梁	6	1.191 3+0.039 4（cos θ）^2.15
Q_l_/2	边梁	7	0.902 6+0.023 0（cos θ）^0.62
Q_l_/2	中梁	8	1.002 6+0.056 4（cos θ）^2.67

内力类型	位置	工况（i）	拟合公式形式
M_l_/2	边梁	1	1.004 2-0.010 3（cos φ）^1.64
M_l_/2	中梁	2	1.004 6-0.062 7（cos φ）^1.54
M₀	边梁	3	0.994 5+0.002 6（cos φ）^1.15
M₀	中梁	4	0.920 7+0.003 2（cos φ）^1.11
Q₀	边梁	5	1.057 2-0.395 8（sin φ）^0.64
Q₀	中梁	6	0.900 8-0.201 9（sin φ）^0.78
Q_l_/2	边梁	7	0.979 0-0.001 7（sin φ）^1.84
Q_l_/2	中梁	8	0.894 0-0.001 0（sin φ）^4.67

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