CN106650099A - Method for designing arch bridge whose arch axis is cycloid - Google Patents
Method for designing arch bridge whose arch axis is cycloid Download PDFInfo
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- CN106650099A CN106650099A CN201611202498.5A CN201611202498A CN106650099A CN 106650099 A CN106650099 A CN 106650099A CN 201611202498 A CN201611202498 A CN 201611202498A CN 106650099 A CN106650099 A CN 106650099A
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- arch
- cycloid
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- bridge
- arch bridge
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
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- E—FIXED CONSTRUCTIONS
- E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
- E01D—CONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
- E01D4/00—Arch-type bridges
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- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Geometry (AREA)
- General Physics & Mathematics (AREA)
- Computer Hardware Design (AREA)
- Civil Engineering (AREA)
- Structural Engineering (AREA)
- Architecture (AREA)
- Theoretical Computer Science (AREA)
- Computational Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- Evolutionary Computation (AREA)
- General Engineering & Computer Science (AREA)
- Bridges Or Land Bridges (AREA)
Abstract
The invention provides a method for designing an arch bridge whose arch axis is a cycloid, and belongs to the technical field of bridge engineering. The method comprises the following steps: firstly determining a span, a width and a load standard of the arch bridge; then designing an arch axis whose equation is a cycloid, wherein the cycloid equation is: X = R * (T-SIN (T)), Y (R * = 1-COS (T)), wherein 2R refers to the height of the arch bridge, T refers to a parameter from 0 to 2 pi, R = L/2 pi, and L refers to the span; designing a main girder and a boom, wherein the boom is an inclined boom, and the position of the boom is adjusted to ensure reasonable stress; and finally designing according to the design method of an ordinary arch bridge. In the design method, the arch axis whose equation is the cycloid is adopted, so the stress of the arch bridge is more reasonable in combination with the inclined boom, the materials are better saved, and the aesthetic effect of the bridge is better.
Description
Technical field
The invention belongs to technical field of bridge engineering, is related to bridge, being related specifically to a kind of arch is
The arch bridge of cycloid.
Background technology
In current arch bridge, typically using catenary and parabola, in bowstring arch bridge, arch is parabolic to arch
Relatively, the optimal distance of filled spandrel arch bridge is catenary to the stress of line and catenary, by the optimal distance of evenly load
It is parabola.But the lane load of bridge and pedestrian load are not to calculate by evenly load in design, but by impact
The worst operating mode of line carries out cloth load, so the arch of parabola and catenary is not most rational for actual loading.
The content of the invention
The invention provides a kind of arch bridge of arch for cycloid, with good mechanical property, in the car of design specification
It is more preferable than catenary and arch bridges under road load and pedestrian load's effect.
Technical scheme：
A kind of arch is the method for designing of the arch bridge of cycloid, and step is as follows：
Across footpath, width, the load standard of arch bridge are determined first；Then the arch that equation is cycloid, cycloid side are designed
Cheng Wei：X=R* (T-SIN (T)), Y=R* (1-COS (T)), wherein, 2R is the rise of arch bridge, and T is the parameter of 0 to 2 π, R=L/
2 π, L are across footpaths；Redesign girder and suspension rod, its middle hanger adopts oblique suspension rod, and suitably adjusts the position of suspension rod in the calculation,
Make stress more reasonable；Finally it is designed according to the method for designing of conventional arch bridge.
The invention has the advantages that：Adopt equation for cycloid arch, and coordinate oblique suspension rod, receive can arch bridge
Power is more reasonable, and material usage is more saved, and the aesthetic effect of bridge is also relatively good.
Description of the drawings
Fig. 1 is the arch bridge elevation that arch is cycloid.
In figure：1 arch rib；2 girders；3 suspension rods.
Specific embodiment
The specific embodiment of the present invention is described in detail below in conjunction with technical scheme and accompanying drawing.
(1) across footpath of arch bridge be 100 meters, it is wide 9 meters, lateral arrangement is：1 meter of pavement+driveway, 6 meters of+1 meter of pavements；
(2) according to across footpath L=100 rice, the rise for obtaining arch bridge is 2R=L/ π, i.e., 31.831 meter；(3) arch is for cycloid equation：
X=R* (T-SIN (T)), Y=R* (1-COS (T)), wherein 2R are the rises of arch, and T is the parameter of 0 to 2 π；(4) girder is redesigned
And suspension rod, its middle hanger adopt oblique suspension rod, in the calculation suitably adjust suspension rod position, make stress more reasonable；(5) finally press
The method for designing of more solito arch bridge is designed.
Claims (1)
1. a kind of arch is the method for designing of the arch bridge of cycloid, it is characterised in that step is as follows：
Across footpath, width, the load standard of arch bridge are determined first；Then the arch that equation is cycloid is designed, cycloid equation is：
X=R* (T-SIN (T)), Y=R* (1-COS (T)), wherein, 2R is the rise of arch bridge, and T is the parameter of 0 to 2 π, R=L/2 π, L
It is across footpath；Redesign girder and suspension rod, suspension rod adopts oblique suspension rod, and in the position of adjustment suspension rod, makes reasonable stress；It is last according to
The method for designing of conventional arch bridge is designed.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201611202498.5A CN106650099A (en) | 2016-12-23 | 2016-12-23 | Method for designing arch bridge whose arch axis is cycloid |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201611202498.5A CN106650099A (en) | 2016-12-23 | 2016-12-23 | Method for designing arch bridge whose arch axis is cycloid |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN106650099A true CN106650099A (en) | 2017-05-10 |
Family
ID=58826570
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201611202498.5A Pending CN106650099A (en) | 2016-12-23 | 2016-12-23 | Method for designing arch bridge whose arch axis is cycloid |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN106650099A (en) |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107133432A (en) * | 2017-06-30 | 2017-09-05 | 中铁二院工程集团有限责任公司 | The lateral stiffness control method and bridge of high-block bridge concrete continuous rigid structure bridge |
| CN108647477A (en) * | 2018-06-27 | 2018-10-12 | 大连理工大学 | A kind of main push-towing rope is the design method of the suspension bridge of roulette |
| CN110453602A (en) * | 2018-03-30 | 2019-11-15 | 中交路桥北方工程有限公司 | Catenary arch rib construction lofting system |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102304908A (en) * | 2011-06-27 | 2012-01-04 | 河海大学 | Wharf structure with arch-shaped longitudinal beam and method for calculating arch axial line of same |
| CN204435195U (en) * | 2014-12-31 | 2015-07-01 | 天津城建设计院有限公司 | A kind of facade asymmetric space arch arch bridge structure |
-
2016
- 2016-12-23 CN CN201611202498.5A patent/CN106650099A/en active Pending
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102304908A (en) * | 2011-06-27 | 2012-01-04 | 河海大学 | Wharf structure with arch-shaped longitudinal beam and method for calculating arch axial line of same |
| CN204435195U (en) * | 2014-12-31 | 2015-07-01 | 天津城建设计院有限公司 | A kind of facade asymmetric space arch arch bridge structure |
Non-Patent Citations (3)
| Title |
|---|
| 张娅莉，沈雪梅: "《应用数学基础[M]. 2013》", 30 September 2013, 中国铁道出版社 * |
| 汤国栋，姚安林: "《提篮半穿式管桥的构思与设计》", 《油气储运》 * |
| 赵青，李海涛: "《桥梁工程》", 31 January 2014 * |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107133432A (en) * | 2017-06-30 | 2017-09-05 | 中铁二院工程集团有限责任公司 | The lateral stiffness control method and bridge of high-block bridge concrete continuous rigid structure bridge |
| CN110453602A (en) * | 2018-03-30 | 2019-11-15 | 中交路桥北方工程有限公司 | Catenary arch rib construction lofting system |
| CN108647477A (en) * | 2018-06-27 | 2018-10-12 | 大连理工大学 | A kind of main push-towing rope is the design method of the suspension bridge of roulette |
| CN108647477B (en) * | 2018-06-27 | 2021-08-10 | 大连理工大学 | Design method of suspension bridge with main cable as gyro wheel line |
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Application publication date: 20170510 |
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| WD01 | Invention patent application deemed withdrawn after publication |