CN110598353A - Annular convex slope stability evaluation method based on simple plane sliding method - Google Patents
Annular convex slope stability evaluation method based on simple plane sliding method Download PDFInfo
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- 238000011156 evaluation Methods 0.000 title abstract description 7
- 230000008569 process Effects 0.000 claims abstract description 7
- 230000005484 gravity Effects 0.000 claims abstract description 5
- 239000002689 soil Substances 0.000 claims description 6
- 230000009471 action Effects 0.000 claims description 2
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Classifications
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- E—FIXED CONSTRUCTIONS
- E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
- E02D—FOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
- E02D17/00—Excavations; Bordering of excavations; Making embankments
- E02D17/20—Securing of slopes or inclines
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- Mining & Mineral Resources (AREA)
- Life Sciences & Earth Sciences (AREA)
- General Life Sciences & Earth Sciences (AREA)
- Paleontology (AREA)
- Civil Engineering (AREA)
- General Engineering & Computer Science (AREA)
- Structural Engineering (AREA)
- Pit Excavations, Shoring, Fill Or Stabilisation Of Slopes (AREA)
- Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)
Abstract
The invention discloses an annular convex slope stability evaluation method based on a simple plane sliding method, which comprises the following implementation processes of: obtaining the gravity of an annular slideWArea of the sliding surfaceA 1(ii) a Drawing the annular convex slope along any direction symmetrically to form a section, forming a section on the section by the sliding body, and acquiring the section area of the sliding body on the sectionA 2Inclination of sliding surfaceθ(ii) a Calculating the slope safety factor by the following formulaF s . The contribution of the axial tension of the annular convex slope annular sliding body to the anti-sliding force is considered, a new assumption is introduced to the simple plane sliding method for improvement, the improved simple plane sliding method can be used for evaluating the stability of the annular convex slope, the calculation process is simple, and a method with a more reasonable calculation result is provided for evaluating the stability of the annular convex slope.
Description
Technical Field
The invention relates to a slope stability evaluation method, in particular to an annular convex slope stability evaluation method based on a simple plane sliding method.
Background
In the mountain engineering construction and landslide hazard prediction analysis, slopes of various shapes can be encountered, for example, the shape of the slope in the horizontal plane is considered, the slope can be divided into a convex shape, a concave shape and a linear shape, and the stability of the slope is undoubtedly influenced by the spatial shape of the slope. Strictly speaking, slope stability analysis belongs to a space problem, a three-dimensional analysis method is more suitable for practical situations, a two-dimensional limit balance method is generally adopted for evaluating slope stability in engineering, the method has good calculation precision for a linear slope, but the calculation result of the slope with a remarkable space effect of an annular convex slope has a large error. How to analyze the stability of the annular convex slope is a problem to be solved in slope stability evaluation.
The invention is based on the two-dimensional limit balance analysis method commonly used in the current engineering, namely a simple plane sliding method, and corrects the simple plane sliding method to be suitable for the annular convex slope by considering the contribution of the axial tension of the annular sliding body of the annular convex slope to the anti-sliding force, so that the calculation result is more in line with the actual situation.
Disclosure of Invention
In order to solve the above problems, the present invention provides a method for evaluating stability of an annular convex slope based on a simple plane sliding method, so as to solve the problem of the existing limit balancing method in evaluating stability of the annular convex slope.
The technical scheme adopted by the invention is as follows: the method for evaluating the stability of the annular convex slope based on the simple plane sliding method comprises the following implementation processes:
the method comprises the following steps: acquiring the gravity W and the sliding surface area A of the annular sliding body1。
Step two: drawing the ring-shaped convex slope along any direction symmetrically to form a section, forming a section on the section by the sliding body, and acquiring the section area A of the sliding body on the section2And a sliding surface inclination angle theta.
Step three: calculating the slope safety factor F by the following formulas。
R＝2πσPulling deviceA2
In the formula, c is the cohesive force of the annular sliding surface;is an annular sliding surface internal friction angle; sigmaPulling deviceThe tensile strength of the soil body is annular sliding body; r is the anti-sliding force generated by the axial tension of the annular sliding body.
In the third step, in addition to the basic assumption of the simple plane sliding method, 1 assumption is newly introduced: the sliding resistance R generated by the axial tension of the sliding body has an action point on the weight center of the sliding body.
The invention has the beneficial effects that: the contribution of the axial tension of the annular convex slope annular sliding body to the anti-sliding force is considered, a new assumption is introduced to the simple plane sliding method for improvement, the improved simple plane sliding method can be used for evaluating the stability of the annular convex slope, the calculation process is simple, and a method with a more reasonable calculation result is provided for evaluating the stability of the annular convex slope.
Drawings
For ease of illustration, the invention is described in detail by the following detailed description and the accompanying drawings.
FIG. 1 is a schematic structural diagram of a ring slider and an equivalent ring slider in an embodiment of the present invention;
FIG. 2 is a force analysis diagram of the simple planar sliding method of the equivalent annular slider in the embodiment of the present invention;
FIG. 3 is a parameter diagram of the annular convex slope three-dimensional model calculation in the embodiment of the present invention;
FIG. 4 is a cross-sectional view of an annular convex slope according to an embodiment of the present invention.
Detailed Description
The technical solutions of the present invention will be described clearly and completely in the following embodiments of the present invention, and it should be understood that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The embodiment of the method for evaluating the stability of the annular convex slope based on the simple plane sliding method comprises the following implementation processes: take the ring-shaped slider in fig. 3.
From the tensile strength sigma of the soilPulling deviceObtaining the axial tensile resistance F of the annular sliding body soil bodyNThe calculation formula is shown in formula (1).
FN＝σPulling deviceA2 (1)
Annular sliding body soil body axial tensile resistance FNAn annular uniform linear load q is generated, the direction of the q is horizontal and points to the symmetry axis, and the q calculation formula is shown as a formula (2).
In the formula, r is the radius of the annular slider.
Substituting equation (1) into equation (2) yields equation (3).
An elongated sliding body with the same cross section as the annular sliding body and the same volume as the annular sliding body is established, named as an equivalent annular sliding body, and annular uniform wiring loads q are applied to the equivalent annular sliding body as shown in fig. 1, and then the equivalent annular sliding body is used as a research object.
The formula for calculating the anti-slip force R of the equivalent annular sliding body is shown in formula (4), and the direction of R is horizontal and points into a slope.
R＝2πσPulling deviceA2 (4)
Due to the existence of the equivalent annular sliding body anti-sliding force R, the safety coefficient of the annular convex slope is higher than that of the long straight slope. The method introduces R into a simple plane sliding method, takes the whole equivalent annular sliding body as a research object, and projects the external force applied to the equivalent annular sliding body onto a section where the center of gravity is located as shown in figure 2.
Aiming at the whole equivalent annular sliding body, the normal resultant force sigma FNEquation (5) is obtained when 0.
N＝Wcosθ+Rsinθ (5)
In the formula, N is the normal force of the equivalent annular sliding body on the sliding surface.
For the whole equivalent annular sliding body, the downward sliding force F on the sliding surfaceLower slideThe calculation formula is shown in formula (6).
FLower slide＝Wsinθ (6)
The anti-sliding force F on the sliding surface of the whole equivalent annular sliding body is obtained by the formula (5) and the molar coulomb intensity criterionAnti-skidThe calculation formula is shown in formula (7).
In the formula, T is the anti-skid shearing force of the gravity of the equivalent annular sliding body on the sliding surface.
The safety factor F is obtained from the formula (6) and the formula (7)sThe calculation formula is shown in formula (8).
Example (b): annular convex slope based on simple plane sliding methodThe stability evaluation method comprises the following steps: the method comprises the following steps: the annular convex slope three-dimensional model calculation parameter diagram is shown in FIG. 3, and the volume weight of the sliding mass is 25kN/m3. The cohesive force c of the sliding surface is 33kPa, and the internal friction angle isIs 35 deg.. Weight W of sliding body 785245kN and sliding surface area A1＝10628.36m2(ii) a Tensile strength sigma of soil bodyPulling deviceIs 32 kPa.
Step two: the annular convex slope section calculation parameter diagram is shown in FIG. 4, and the cross section area A of the sliding body2＝166.08m2The slip surface inclination angle θ is 43 °.
Step three: calculating the safety factor F by a formulas，
R＝2πσPulling deviceA2
Calculating by a formula to obtain a final safety factor Fs＝1.481。
The method provided by the invention considers the contribution of the axial tension of the annular sliding body of the annular convex slope to the anti-sliding force, improves the new assumption introduced into the simple plane sliding method, can be used for evaluating the stability of the annular convex slope by the improved simple plane sliding method, has a simple calculation process, and provides a method with a more reasonable calculation result for evaluating the stability of the annular convex slope.
Although embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that changes, modifications, substitutions and alterations can be made in these embodiments without departing from the principles and spirit of the invention, the scope of which is defined in the appended claims and their equivalents.
Claims (2)
1. The method for evaluating the stability of the annular convex slope based on the simple plane sliding method is characterized by comprising the following steps of: the implementation process is as follows:
the method comprises the following steps: obtaining the gravity W and the sliding surface of the annular sliding bodyArea A1；
Step two: drawing the ring-shaped convex slope along any direction symmetrically to form a section, forming a section on the section by the sliding body, and acquiring the section area A of the sliding body on the section2A sliding surface inclination angle theta;
step three: calculating the slope safety factor F by the following formulas；
R＝2πσPulling deviceA2
In the formula, c is the cohesive force of the annular sliding surface;is an annular sliding surface internal friction angle; sigmaPulling deviceThe tensile strength of the soil body is annular sliding body; r is the anti-sliding force generated by the axial tension of the annular sliding body.
2. The method for evaluating stability of an annular convex slope based on the simple planar sliding method according to claim 1, wherein: in the third step, in addition to the basic assumption of the simple plane sliding method, 1 assumption is newly introduced: the sliding resistance R generated by the axial tension of the sliding body has an action point on the weight center of the sliding body.
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| CN2019105242758 | 2019-06-18 | ||
| CN201910524275.8A CN110263422A (en) | 2019-06-18 | 2019-06-18 | Convex annular Slope Stability Evaluation method based on simple flat surface sliding scale |
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| CN110598354B (en) * | 2019-09-25 | 2021-04-02 | 贵州正业工程技术投资有限公司 | Stability evaluation method of circular arc concave slope based on Janbu method |
| CN110674550B (en) * | 2019-09-25 | 2021-03-26 | 贵州正业工程技术投资有限公司 | Stability evaluation method of circular arc concave slope based on transfer coefficient method |
| CN110689969B (en) * | 2019-09-25 | 2021-03-26 | 贵州正业工程技术投资有限公司 | Arc-shaped concave slope stability evaluation method based on simple plane sliding method |
| CN111368458B (en) * | 2020-03-23 | 2021-04-02 | 青岛理工大学 | A method for calculating the safety factor of a foundation pit excavation slope |
Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US9078421B1 (en) * | 2014-03-22 | 2015-07-14 | Ryan Patrick Rye | Lure with slidably-oscillating bladed member |
| CN106777947A (en) * | 2016-12-08 | 2017-05-31 | 成都理工大学 | A kind of method of slip mass motion feature on calculating Broken-line sloping surface |
| EP3143923B1 (en) * | 2014-12-26 | 2019-04-17 | Olympus Corporation | Eyepiece connecting device |
| CN109785584A (en) * | 2019-01-29 | 2019-05-21 | 青岛理工大学 | Method for predicting stability of composite hydrodynamic reservoir bank slope |
| CN110232248A (en) * | 2019-06-18 | 2019-09-13 | 贵州正业工程技术投资有限公司 | Convex annular Slope Stability Evaluation method based on coefficient transfer method |
| CN110245429A (en) * | 2019-06-18 | 2019-09-17 | 贵州正业工程技术投资有限公司 | Convex annular Slope Stability Evaluation method based on Bishop approach |
-
2019
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- 2019-09-25 CN CN201910908423.6A patent/CN110598353B/en active Active
Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US9078421B1 (en) * | 2014-03-22 | 2015-07-14 | Ryan Patrick Rye | Lure with slidably-oscillating bladed member |
| EP3143923B1 (en) * | 2014-12-26 | 2019-04-17 | Olympus Corporation | Eyepiece connecting device |
| CN106777947A (en) * | 2016-12-08 | 2017-05-31 | 成都理工大学 | A kind of method of slip mass motion feature on calculating Broken-line sloping surface |
| CN109785584A (en) * | 2019-01-29 | 2019-05-21 | 青岛理工大学 | Method for predicting stability of composite hydrodynamic reservoir bank slope |
| CN110232248A (en) * | 2019-06-18 | 2019-09-13 | 贵州正业工程技术投资有限公司 | Convex annular Slope Stability Evaluation method based on coefficient transfer method |
| CN110245429A (en) * | 2019-06-18 | 2019-09-17 | 贵州正业工程技术投资有限公司 | Convex annular Slope Stability Evaluation method based on Bishop approach |
Non-Patent Citations (3)
| Title |
|---|
| 周立佳: ""强震作用下锚索加固边坡安全性评价方法研究"", 《中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑》 * |
| 赵衡等: ""圆形凸坡的稳定性分析"", 《岩土工程学报》 * |
| 郑杰: ""平庄西露天矿西帮凸边坡破坏模式及稳定性研究"", 《中国优秀硕士学位论文全文数据库 工程科技辑》 * |
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