CN111622260B - Method for determining horizontal displacement of modular reinforced retaining wall in extreme state - Google Patents
Method for determining horizontal displacement of modular reinforced retaining wall in extreme state Download PDFInfo
- Publication number
- CN111622260B CN111622260B CN202010519300.6A CN202010519300A CN111622260B CN 111622260 B CN111622260 B CN 111622260B CN 202010519300 A CN202010519300 A CN 202010519300A CN 111622260 B CN111622260 B CN 111622260B
- Authority
- CN
- China
- Prior art keywords
- modular
- retaining wall
- wall
- horizontal displacement
- reinforced retaining
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
- 238000006073 displacement reaction Methods 0.000 title claims abstract description 62
- 238000000034 method Methods 0.000 title claims abstract description 32
- 239000011449 brick Substances 0.000 claims abstract description 83
- 239000000463 material Substances 0.000 claims abstract description 24
- 238000004364 calculation method Methods 0.000 claims abstract description 17
- 230000002787 reinforcement Effects 0.000 claims abstract description 10
- 230000003068 static effect Effects 0.000 claims abstract description 9
- 238000004458 analytical method Methods 0.000 claims abstract description 7
- 239000002689 soil Substances 0.000 claims description 48
- 239000012779 reinforcing material Substances 0.000 claims description 18
- 238000010276 construction Methods 0.000 claims description 5
- 230000003014 reinforcing effect Effects 0.000 claims description 4
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims description 3
- 238000011160 research Methods 0.000 abstract description 5
- 238000009826 distribution Methods 0.000 description 4
- 238000013461 design Methods 0.000 description 3
- 238000012360 testing method Methods 0.000 description 3
- 238000012938 design process Methods 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 230000001105 regulatory effect Effects 0.000 description 2
- 238000005070 sampling Methods 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000005266 casting Methods 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 238000000605 extraction Methods 0.000 description 1
- 238000009415 formwork Methods 0.000 description 1
- 230000003993 interaction Effects 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 238000012544 monitoring process Methods 0.000 description 1
Images
Classifications
-
- E—FIXED CONSTRUCTIONS
- E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
- E02D—FOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
- E02D29/00—Independent underground or underwater structures; Retaining walls
- E02D29/02—Retaining or protecting walls
- E02D29/0225—Retaining or protecting walls comprising retention means in the backfill
- E02D29/0241—Retaining or protecting walls comprising retention means in the backfill the retention means being reinforced earth elements
-
- E—FIXED CONSTRUCTIONS
- E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
- E02D—FOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
- E02D29/00—Independent underground or underwater structures; Retaining walls
- E02D29/02—Retaining or protecting walls
- E02D29/025—Retaining or protecting walls made up of similar modular elements stacked without mortar
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
Landscapes
- Engineering & Computer Science (AREA)
- General Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- General Life Sciences & Earth Sciences (AREA)
- Mining & Mineral Resources (AREA)
- Paleontology (AREA)
- Civil Engineering (AREA)
- Mathematical Physics (AREA)
- Structural Engineering (AREA)
- Life Sciences & Earth Sciences (AREA)
- Environmental & Geological Engineering (AREA)
- Theoretical Computer Science (AREA)
- Data Mining & Analysis (AREA)
- General Physics & Mathematics (AREA)
- Algebra (AREA)
- Mathematical Optimization (AREA)
- Mathematical Analysis (AREA)
- Pure & Applied Mathematics (AREA)
- Databases & Information Systems (AREA)
- Software Systems (AREA)
- Computational Mathematics (AREA)
- Retaining Walls (AREA)
Abstract
The invention relates to a method for determining the horizontal displacement of a modular reinforced retaining wall in an extreme stateThe board is formed by stacking module bricks layer by layer, the actual stress characteristics of the modular reinforced retaining wall in the limit state are analyzed, the module bricks are taken as research objects, the static balance analysis is carried out on the module bricks, and the connecting force P of the wall panel and the reinforcement material at different heights of the modular reinforced retaining wall in the limit statermDetermining the horizontal displacement delta of the modular reinforced retaining wall in the extreme statehThe calculation formula of (A) is as follows;in the formula: kreinIs the rigidity of the rib material; psi is the fill expansion angle;the inner friction angle of the filling is adopted; h is the height of the top of the wall panel; ziThe depth is calculated from the top of the shingle along the height of the wall. The method considers the actual stress characteristic of the modular reinforced retaining wall in the extreme state and can directly obtain the horizontal displacement of the wall surface of the reinforced retaining wall in the extreme state.
Description
Technical Field
The technical scheme of the invention relates to deformation of a reinforced retaining wall, in particular to a method for determining horizontal displacement of a modular reinforced retaining wall in an extreme state.
Background
The reinforced retaining wall is a flexible retaining structure consisting of a panel, a reinforcement material and backfill soil. The building block is widely used in various fields such as traffic systems, water conservancy systems and the like due to the advantages of low manufacturing cost, attractive appearance, simple and convenient construction and the like. The design of the existing common reinforced retaining wall mainly comprises the following steps: (1) determining engineering conditions; (2) determining engineering parameters; (3) determining parameters of wall height, wall panels and reinforcing materials; (4) analyzing external stability; (5) and (4) analyzing internal stability. The influence of retaining wall deformation is not considered in the design, but the accident of reinforced retaining wall damage caused by excessive deformation occurs sometimes, so the research on the deformation of the reinforced retaining wall becomes one of the research hotspots in the field of reinforced earth structures.
Documents Jewell, r.a. and Milligan, g.w.e. "Deformation calculation for re-formed soil walls" show three main areas in a reinforced retaining wall and the distribution of internal forces in the reinforcement at different heights of the reinforced retaining wall, and are used to determine an analysis model for wall Deformation to obtain horizontal displacement under wall overload, with low precision and complexity; adams, M.T. et al, Vegas Mini Pin experience and volume change, assume that the volume lost at the top of a reinforced retaining wall is equal to the volume obtained at the wall surface due to transverse deformation due to vertical settlement, and link the horizontal deformation of the reinforced retaining wall with the vertical settlement. The calculation method does not consider the influence of the panel rigidity, and the analysis result is conservative compared with the real situation, so that the calculation method for determining the horizontal displacement of the modular reinforced retaining wall in the extreme state by considering the panel rigidity is necessary and feasible.
Disclosure of Invention
The invention aims to overcome the defects of the method for calculating the horizontal displacement of the modular reinforced retaining wall surface in the extreme state, and provides a method for calculating the horizontal displacement of the modular reinforced retaining wall surface in the extreme state by considering the rigidity of a wall panel. The method considers the actual stress characteristics of the modular reinforced retaining wall, has simple principle and simple and convenient process, can judge whether the retaining wall is in a limit state in time through the displacement of the wall surface after the construction of the modular reinforced retaining wall is finished and in the normal use stage, and ensures the stability of the reinforced retaining wall.
In order to achieve the purpose, the technical scheme adopted by the invention is as follows:
a method for determining the horizontal displacement of the ultimate wall surface of modular reinforced retaining wall includes such steps as making the wall surface plate become a layer of formwork, filling soil and reinforcing barsBuilding bricks, analyzing the actual stress characteristics of the modular reinforced retaining wall in a limit state, taking the modular bricks as a research object, and analyzing the static balance of the modular bricks to obtain the connecting force P between the wall panel and the reinforcement at different heights of the modular reinforced retaining wall in the limit statermDetermining the horizontal displacement delta of the modular reinforced retaining wall in the extreme statehThe calculation formula of (A) is as follows;
in the formula: kreinIs the rigidity of the rib material; psi is the fill expansion angle;the inner friction angle of the filling is adopted; h is the height of the top of the wall panel; ziThe depth is calculated from the top of the shingle along the height of the wall.
Connecting force P of wall panel and rib material at different heights of modular reinforced earth retaining wall in extreme statermThe expression of (a) is:
Prm=Pi-Kmm(Wi+Ffi)
wherein,
Kmm=0.2tanα
in the formula: kmmThe coefficient of friction between the modular bricks; alpha is the friction angle between the modular bricks; wiThe dead weight of the modular brick is adopted; ffiFriction force between the modular bricks with different heights and the filling is formed for the modular reinforced retaining wall; piThe horizontal resultant force of lateral soil pressure acting on the modular bricks at different heights of the modular reinforced soil retaining wall.
Horizontal resultant force P of lateral soil pressure acting on module bricks at different heights of modular reinforced soil retaining walliThe expression of (a) is: pi=Ki(γsZi+q)Sv,
when in useWhen the temperature of the water is higher than the set temperature,K0is the coefficient of static soil pressure; lambda [ alpha ]bAdjusting coefficients for the flexible reinforcement; q is the size of the load uniformly distributed on the wall top; svThe distance between the ribs; gamma raysThe filling is heavy.
Frictional force F between different-height module bricks of modular reinforced retaining wall and filling soilfiThe expression of (a) is as follows,
Ffi=KbsγbbSv;
in the formula: kbsIs the friction coefficient between the modular brick and the filling, Kbs0.03tan beta, wherein beta is a friction angle between the modular brick and the filling soil; gamma raybThe module brick is severe; svThe distance between the reinforcing materials is equal, and the reinforcing materials are arranged at high intervals along the wall inside the retaining wall; and b is the width of the wall panel.
According to deltahThe calculation formula of the model reinforced retaining wall is drawn to draw the horizontal displacement delta of the wall surface of the model reinforced retaining wall in the limit stateh-wall height (H-Z)i) The wall height corresponding to the maximum horizontal displacement is found according to the curve, and then the position of the maximum horizontal displacement of the wall surface can be judged.
The determination method can be used for timely judging whether the retaining wall is in the limit state or not through the horizontal displacement of the wall panel after the construction of the modular reinforced retaining wall is finished and in the normal use stage, and specifically comprises the following steps: acquiring the wall height of the maximum horizontal displacement position of a wall panel of the modular reinforced retaining wall to be detected and the maximum horizontal displacement value of the maximum horizontal displacement position, wherein the maximum horizontal displacement value can be directly detected and obtained by a corresponding testing instrument;
then use deltahOr according to the drawn horizontal displacement delta of the modular reinforced retaining wall in the extreme stateh-wall height (H-Z)i) The curve of (2) determines the limit state wall surface of the modular reinforced retaining wall corresponding to the wall heightHorizontal displacement deltahJudging whether the maximum horizontal displacement of the detected modular reinforced retaining wall surface is close to the horizontal displacement deltahIf approaching the horizontal displacement deltahReinforcement measures should be taken in time.
The invention has the beneficial effects that:
the method for determining the horizontal displacement of the wall panel of the modular reinforced retaining wall in the extreme state considers the influence of the rigidity of the wall panel on the horizontal displacement of the wall surface of the modular reinforced retaining wall in the extreme state, takes the modular bricks as a research object, and further determines the horizontal displacement of the wall surface of the modular reinforced retaining wall in the extreme state by obtaining the connecting force of the wall panel and the ribs based on the static balance analysis of the wall panel of the modular reinforced retaining wall in the extreme state.
In the method, the soil pressure coefficient is not assumed to be a fixed value (generally, an active soil pressure coefficient is taken), but is linearly changed along with the height of the retaining wall within a certain range, and the interaction force among the modular bricks, the modular bricks and the filling soil is considered, so that the calculation result of the method is more in line with the actual situation. Meanwhile, the method can also accurately judge the position of the maximum horizontal displacement of the wall surface.
The method has simple calculation process and important practical significance for scientifically and reasonably guiding the design of the reinforced retaining wall. In the structural design process, related specifications and standards of part of the countries at present relate to deformation control indexes of modular reinforced retaining walls, the maximum horizontal displacement of the modular reinforced retaining wall surfaces is regulated to be not more than 50mm in EN 14475(2006), the ratio of the maximum horizontal displacement of the modular reinforced retaining wall surfaces to the height of the reinforced retaining wall is regulated to be not more than 3.5% in NCMA (2009), the maximum horizontal displacement of the modular reinforced retaining wall ultimate state wall panels calculated in the embodiment is 46mm, and the ratio of the maximum horizontal displacement to the height of the reinforced retaining wall is 0.88%, which indicates that the calculation result of the method is safer as a reference value in the structural design process.
The invention can also play a role of early warning. The wall surface horizontal displacement of the modular reinforced retaining wall in the limit state calculated by the invention is compared with the wall surface horizontal displacement measured on site in actual engineering, the stable state of the modular reinforced retaining wall on site can be judged in advance, and if the monitoring displacement (directly detected by an instrument) is close to the calculation displacement (obtained by calculation according to a formula), a reinforcing measure can be adopted in time.
Drawings
FIG. 1 is a schematic view of a modular reinforced retaining wall;
FIG. 2 is a force analysis diagram of a partially modular panel;
FIG. 3 is a diagram showing the results of horizontal displacement of the modular reinforced retaining wall in the extreme state, which is obtained by the calculation method of the present invention.
Detailed Description
The invention is further described below by means of specific embodiments and figures.
A method for calculating the horizontal displacement of a modular reinforced retaining wall in an extreme state comprises the following specific steps:
step 1: determining the section size and the arrangement of the reinforcement materials of the modular reinforced retaining wall;
the sectional dimension of the modular reinforced retaining wall comprises the height H (namely the height of the top of the wall panel) of the modular reinforced retaining wall structure and the width b of the modular wall panel; the arrangement of the ribs comprises the length L of the ribs and the space S of the ribsv。
Step 2: determining physical and mechanical parameters of modular wall panel modular bricks and filling;
modular shingle weight determination by sampling and testingbHeavy filling gammasInner friction angle of fillingThe filling expansion angle psi, the friction angle alpha between the modular bricks, and the friction angle beta between the modular bricks and the filling.
And step 3: determining different heights of the modular reinforced retaining wall, and calculating the connecting force between a modular reinforced retaining wall panel and a rib material in a limit state according to the horizontal resultant force of lateral soil pressure acting on the modular bricks, the weight of the modular bricks and the friction force between the modular bricks and the filling, wherein the safety factor FS of the modular reinforced retaining wall in the limit state is 1.0;
step 3.1: determining the horizontal resultant force of lateral soil pressure acting on the modular bricks at different heights of the modular reinforced retaining wall
Horizontal resultant force P of lateral soil pressure acting on module bricks at different heights of modular reinforced soil retaining walliThe expression of (a) is as follows,
Pi=Ki(γsZi+q)Sv
wherein,
in the formula: piThe horizontal resultant force of lateral soil pressure acting on the modular bricks at different heights of the modular reinforced soil retaining wall is expressed in kN/m; q is the size of the load uniformly distributed on the wall top and the unit is kN/m2The uniformly distributed load is uniformly distributed along the horizontal direction from the top of the modular reinforced retaining wall, and the distribution width is larger; kiIs the lateral soil pressure coefficient; kaIs the active soil pressure coefficient; k0Is the coefficient of static soil pressure; lambda [ alpha ]bAdjusting the coefficient for the flexible rib material, and taking 0.75; gamma raysFor the fill weight, the unit is kN/m3;The inner friction angle of the filling is adopted; svThe distance between the ribs is m, and the ribs are arranged at high intervals along the wall inside the retaining wall; ziFrom the top of the wall panelCalculating depth along the wall height in m;
step 3.2: determining the dead weight of modular blocks at different heights of the modular reinforced retaining wall
Modular reinforced earth retaining wall module brick dead weight W with different heightsiThe expression of (a) is as follows,
Wi=γbbSv
in the formula: wiThe dead weight of the modular bricks with different heights for the modular reinforced retaining wall is expressed in kN/m; gamma raybThe unit is kN/m for the module brick weight3;SvThe distance between the reinforcing materials is m, and the reinforcing materials are arranged at high intervals along the wall inside the retaining wall; b is the width of the wall panel and the unit is m;
step 3.3: determining the friction force between the modular blocks and the filling at different heights of the modular reinforced retaining wall
Frictional force F between different-height module bricks of modular reinforced retaining wall and filling soilfiThe expression of (a) is as follows,
Ffi=KbsγbbSv
wherein,
Kbs=0.03tanβ
in the formula: ffiFriction between modular bricks with different heights and filling soil of the modular reinforced retaining wall is calculated in kN/m; gamma raybThe unit is kN/m for the module brick weight3;SvThe distance between the reinforcing materials is m, and the reinforcing materials are arranged at high intervals along the wall inside the retaining wall; b is the width of the wall panel and the unit is m; kbsThe coefficient of friction between the modular brick and the filling is shown; beta is the friction angle between the modular brick and the filling;
step 3.4: determining the connecting force between the wall panel and the rib material of the modular reinforced retaining wall at different heights and in a limit state
Connecting force P of wall panel and rib material at different heights of modular reinforced earth retaining wall in extreme statermThe expression of (a) is as follows,
Prm=Pi-Kmm(Wi+Ffi)
wherein,
Kmm=0.2tanα
in the formula: prmThe connection force of the wall panel and the rib at different heights of the modular reinforced retaining wall in the limit state is calculated in kN/m; kmmThe coefficient of friction between the modular bricks; alpha is the friction angle between the modular bricks;
for the formula of the connection force between the wall panels and the ribs at different heights of the modular reinforced retaining wall in the extreme state in the step 3.4, the concrete theory is derived as follows:
as shown in figure 1, the modular reinforced retaining wall is rough and upright on the back, the width of the modular bricks is b, the height of the wall is H, the reinforcing materials are arranged in the retaining wall at intervals of S along the wall and the likevThe length L of the rib material is more than or equal to 0.8H, and a uniformly distributed load q is arranged on the top of the wall.
When the modular reinforced retaining wall is in the limit state (FS is 1.0), the modular reinforced retaining wall Z is arranged along the modular reinforced retaining walliDeep extraction of SvThe height modular shingle was subjected to force analysis as shown in fig. 2. The horizontal force borne by the modular wall panel is the connecting force P between the modular reinforced retaining wall panel and the ribrmHorizontal resultant force P of lateral earth pressure acting on modular bricksiModular shingle top and bottom frictional forces resulting in force Fi。
From the static balance one can get:
Prm=Pi±Fi (1)
modular reinforced earth retaining wall ZiDepth SvHorizontal resultant force P of lateral soil pressure borne by height module brickiCan be represented by the following formula:
Pi=Ki(γsZi+q)Sv (2)
in the formula: kiIs the lateral soil pressure coefficient; q is the size of the load uniformly distributed on the wall top and the unit is kN/m2The uniformly distributed load is uniformly distributed along the horizontal direction from the top of the modular reinforced retaining wall, and the distribution width is larger; gamma raysFor the fill weight, the unit is kN/m3;The inner friction angle of the filling is adopted; svThe distance between the reinforcing materials is m, and the reinforcing materials are arranged at high intervals along the wall inside the retaining wall; ziCalculating the depth from the top of the wall panel along the height of the wall, wherein the unit is m;
let WiIs the dead weight of the modular brick FfiFriction between modular bricks and fill, top and bottom friction F of modular shinglesiCan be represented by the following formula:
Fi=Kmm(Wi+Ffi) (3)
in the formula: kmmThe coefficient of friction between the modular bricks;
formula (2) and formula (3) are substituted into formula (1), and in consideration of the fact that the wall panel plays a positive role in reducing horizontal displacement, the wall panel is obtained by the following steps:
Prm=Pi-Kmm(Wi+Ffi)
and 4, step 4: when the modular reinforced retaining wall is in the extreme state, the horizontal displacement of the wall surface of the modular reinforced retaining wall in the extreme state is determined by the connecting force of the wall surface plates and the ribs at different heights of the modular reinforced retaining wall.
The calculation formula for determining the horizontal displacement of the modular reinforced retaining wall in the extreme state is as follows;
in the formula: deltahThe method is characterized in that the horizontal displacement of the modular reinforced retaining wall surface in the extreme state is m; kreinThe rigidity of the rib material is expressed by kN/m; psi is the fill expansion angle.
Examples
According to the method for determining the horizontal displacement of the modular reinforced retaining wall in the extreme state, the reinforced retaining wall is a flexible retaining structure formed by three parts, namely a wall panel, a rib material and backfill soil. Its shingle nail is piled up by adopting the prefabricated small-size concrete block of dry casting method (module brick) to build futilely and forms, and module brick are connected through tongue and groove, bolt etc. between, and the actual atress characteristic of module formula reinforced earth retaining wall is analyzed under to the extreme state, includes following step:
step 1: determining the section size and the arrangement of the reinforcement materials of the modular reinforced retaining wall;
the sectional dimension of the modular reinforced retaining wall comprises the height H of the modular reinforced retaining wall structure and the width b of the modular wall panel; the arrangement of the ribs comprises the length L of the ribs and the space S of the ribsv。
In the embodiment, a modular geogrid reinforced retaining wall of certain construction engineering is selected, the height of the modular reinforced retaining wall structure is 5.2m, the width of the modular wall panel is 0.3m, the length of the ribs is 5.2m, and the distance between the ribs is 0.6 m.
Step 2: determining physical and mechanical parameters of the modular wall panel and the filling;
determination of the weight gamma of modular shingles by sampling and testingbHeavy filling gammasInner friction angle of fillingThe filling expansion angle psi, the friction angle alpha between the module bricks and the friction angle beta between the module bricks and the filling.
In this embodiment, the modular shingle has a weight of 23kN/m3The filling weight is 21.7kN/m3The inner friction angle of the filling is 54 degrees, the expansion angle of the filling is 14 degrees, the friction angle between the module bricks is 36 degrees, and the friction angle between the module bricks and the filling is 43 degrees.
And step 3: determining different heights of the modular reinforced retaining wall, and calculating the connecting force between the wall panel of the modular reinforced retaining wall and the reinforcement material in an extreme state according to the horizontal resultant force of lateral soil pressure acting on the module bricks, the weight of the module bricks and the friction force between the module bricks and the filling; the limit state refers to that the safety coefficient FS of the reinforced retaining wall is 1.0;
in step 3, determining different heights of the modular reinforced retaining wall, and calculating the connecting force between the wall panel and the rib material of the modular reinforced retaining wall in a limit state by the horizontal resultant force of lateral soil pressure acting on the modular bricks, the weight of the modular bricks and the friction force between the modular bricks and the filling soil, wherein the method specifically comprises the following steps:
step 3.1: determining the horizontal resultant force of lateral soil pressure acting on the modular bricks at different heights of the modular reinforced retaining wall
Horizontal resultant force P of lateral soil pressure acting on module bricks at different heights of modular reinforced soil retaining walliThe expression of (a) is as follows,
Pi=Ki(γsZi+q)Sv
wherein,
in the formula: piThe horizontal resultant force of lateral soil pressure acting on the modular bricks at different heights of the modular reinforced soil retaining wall is expressed in kN/m; q is the size of the load uniformly distributed on the wall top and the unit is kN/m2The uniformly distributed load is uniformly distributed along the horizontal direction from the top of the modular reinforced retaining wall, and the distribution width is larger; kiThe soil pressure coefficient is in a limit state; kaIs the active soil pressure coefficient; k0Is the coefficient of static soil pressure; lambda [ alpha ]bAdjusting the coefficient of the flexible rib material to 0.75; gamma raysFor the fill weight, the unit is kN/m3;The inner friction angle of the filling is adopted; svThe distance between the reinforcing materials is m, and the reinforcing materials are arranged at high intervals along the wall inside the retaining wall; ziCalculating the depth from the top of the wall panel along the height of the wall, wherein the unit is m;
step 3.2: confirm the different high departments of modular reinforced retaining wall, module brick dead weight:
modular reinforced earth retaining wall module brick dead weight W with different heightsiThe expression of (a) is as follows,
Wi=γbbSv
in the formula: wiThe dead weight of the modular bricks with different heights for the modular reinforced retaining wall is expressed in kN/m; gamma raybThe unit is kN/m for the module brick weight3;SvThe distance between the reinforcing materials is m, and the reinforcing materials are arranged at high intervals along the wall inside the retaining wall; b is the width of the wall panel and the unit is m;
step 3.3: determining the friction force between the modular blocks and the filling at different heights of the modular reinforced retaining wall
Frictional force F between different-height module bricks of modular reinforced retaining wall and filling soilfiThe expression of (a) is as follows,
Ffi=KbsγbbSv
wherein,
Kbs=0.03tanβ
in the formula: ffiFriction between modular bricks with different heights and filling soil of the modular reinforced retaining wall is calculated in kN/m; gamma raybThe unit is kN/m for the module brick weight3;SvThe distance between the reinforcing materials is m, and the reinforcing materials are arranged at high intervals along the wall inside the retaining wall; b is the width of the wall panel and the unit is m; kbsThe coefficient of friction between the modular brick and the filling is shown; beta is the friction angle between the modular brick and the filling;
step 3.4: determining the connecting force between the wall panel and the rib material of the modular reinforced retaining wall at different heights and in a limit state
Extreme lower module type reinforced earth retaining wallConnecting force P of wall panels and reinforcing bars at different heightsrmThe expression of (a) is as follows,
Prm=Pi-Kmm(Wi+Ffi)
wherein,
Kmm=0.2tanα
in the formula: prmThe connection force of the wall panel and the rib at different heights of the modular reinforced retaining wall in the limit state is calculated in kN/m; kmmThe coefficient of friction between the modular bricks; alpha is the friction angle between the modular bricks;
in this embodiment, the uniform load on the top of the wall is 50kN/m2(ii) a And when the calculated depth is not more than 2/3H, the value is linearly changed along with the calculated depth, and when the calculated depth is more than 2/3H, the value is a fixed value, and the active soil pressure coefficient is taken.
And 4, step 4: when the modular reinforced retaining wall is in the extreme state, the calculation formula for determining the horizontal displacement of the wall surface of the modular reinforced retaining wall in the extreme state is as follows according to the connecting force of the wall panel and the rib materials at different heights of the modular reinforced retaining wall;
in the formula: deltahThe method is characterized in that the horizontal displacement of the modular reinforced retaining wall surface in the extreme state is m; kreinThe rigidity of the rib material is expressed by kN/m; psi is the fill expansion angle;
in the embodiment, the rigidity of the rib material is 519kN/m, and the final calculation result of the horizontal displacement of the modular reinforced retaining wall in the extreme state is shown in fig. 3.
Nothing in this specification is said to apply to the prior art.
Claims (6)
1. A method for determining the horizontal displacement of the wall surface of a modular reinforced retaining wall in the extreme state is disclosed, wherein the retaining wall comprises a wall panel, filling soil and reinforcing bars, and is characterized in that the wall panel is regarded as being built up by module bricks layer by layer, and the modular reinforced retaining wall is added under the condition of analyzing the extreme stateThe actual stress characteristics of the reinforced earth retaining wall are researched by using the module bricks, and the module bricks are subjected to static balance analysis, so that the connecting force P of the wall panel and the reinforcement material at different heights of the reinforced earth retaining wall is determined in an extreme statermDetermining the horizontal displacement delta of the modular reinforced retaining wall in the extreme statehThe calculation formula of (A) is as follows;
in the formula: kreinIs the rigidity of the rib material; psi is the fill expansion angle;the inner friction angle of the filling is adopted; h is the height of the top of the wall panel; ziCalculating depth from the top of the shingle along the height of the wall;
connecting force P of wall panel and rib material at different heights of modular reinforced earth retaining wall in extreme statermThe expression of (a) is:
Prm=Pi-Kmm(Wi+Ffi)
wherein,
Kmm=0.2tanα
in the formula: kmmThe coefficient of friction between the modular bricks; alpha is the friction angle between the modular bricks; wiThe dead weight of the modular brick is adopted; ffiFriction force between the modular bricks with different heights and the filling is formed for the modular reinforced retaining wall; piThe horizontal resultant force of lateral soil pressure acting on the modular bricks at different heights of the modular reinforced soil retaining wall.
2. The method of claim 1, wherein the horizontal resultant force P of the lateral earth pressure acting on the modular bricks at different heights of the modular reinforced retaining walliThe expression of (a) is: pi=Ki(γsZi+q)Sv,
when in useWhen the temperature of the water is higher than the set temperature,K0is the coefficient of static soil pressure; lambda [ alpha ]bAdjusting coefficients for the flexible reinforcement; q is the size of the load uniformly distributed on the wall top; svThe distance between the ribs; gamma raysThe filling is heavy.
3. The method as claimed in claim 1, wherein the friction force F between the modular bricks and the filling is different in height of the modular reinforced retaining wallfiThe expression of (a) is as follows,
Ffi=KbsγbbSv;
in the formula: kbsIs the friction coefficient between the modular brick and the filling, Kbs0.03tan beta, wherein beta is a friction angle between the modular brick and the filling soil; gamma raybThe module brick is severe; svThe distance between the reinforcing materials is equal, and the reinforcing materials are arranged at high intervals along the wall inside the retaining wall; and b is the width of the wall panel.
4. The method of claim 1, wherein the method is based on δhThe calculation formula of the model reinforced retaining wall is drawn to draw the horizontal displacement delta of the wall surface of the model reinforced retaining wall in the limit stateh-wall height (H-Z)i) The wall height corresponding to the maximum horizontal displacement is found according to the curve, and then the position of the maximum horizontal displacement of the wall surface can be judged.
5. The method of claim 4, wherein the method can be used for timely judging whether the retaining wall is in the limit state through the horizontal displacement of the wall panel after the construction of the modular reinforced retaining wall is completed and in the normal use stage, and specifically comprises the following steps: acquiring the wall height of the maximum horizontal displacement position of a wall panel of the modular reinforced retaining wall to be detected and the maximum horizontal displacement value of the maximum horizontal displacement position;
then use deltahOr according to the drawn horizontal displacement delta of the modular reinforced retaining wall in the extreme stateh-wall height (H-Z)i) Determining the horizontal displacement delta of the modular reinforced retaining wall in the extreme state under the corresponding wall heighthJudging whether the maximum horizontal displacement of the detected modular reinforced retaining wall surface is close to the horizontal displacement deltahIf approaching the horizontal displacement deltahReinforcement measures should be taken in time.
6. The method according to any one of claims 1 to 5, wherein the limit condition is a condition that a safety factor FS of the modular reinforced retaining wall is 1.0.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202010519300.6A CN111622260B (en) | 2020-06-09 | 2020-06-09 | Method for determining horizontal displacement of modular reinforced retaining wall in extreme state |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202010519300.6A CN111622260B (en) | 2020-06-09 | 2020-06-09 | Method for determining horizontal displacement of modular reinforced retaining wall in extreme state |
Publications (2)
Publication Number | Publication Date |
---|---|
CN111622260A CN111622260A (en) | 2020-09-04 |
CN111622260B true CN111622260B (en) | 2021-03-02 |
Family
ID=72270356
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN202010519300.6A Active CN111622260B (en) | 2020-06-09 | 2020-06-09 | Method for determining horizontal displacement of modular reinforced retaining wall in extreme state |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN111622260B (en) |
Families Citing this family (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN113047335B (en) * | 2021-04-18 | 2022-06-10 | 中铁二院工程集团有限责任公司 | Method for determining wall top displacement control standard of railway shoulder retaining wall |
CN113482040B (en) * | 2021-07-29 | 2023-04-07 | 广州市房屋开发建设有限公司 | Design method of fixing structure of steel structure retaining wall |
CN114969927B (en) * | 2022-05-30 | 2024-05-24 | 西安理工大学 | Calculation method for reinforced soil retaining wall rib tension considering wall toe resistance |
CN115081089B (en) * | 2022-07-27 | 2023-01-31 | 中国长江三峡集团有限公司 | Method for determining axial force distribution model of reinforced material of reinforced retaining wall and distribution calculation method |
Family Cites Families (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
KR100350625B1 (en) * | 2000-01-17 | 2002-08-30 | (주) 경화엔지니어링 | Reinforced Earth Retaining-Wall for using Sand-Bag |
KR100971004B1 (en) * | 2008-02-29 | 2010-07-20 | 한국철도기술연구원 | Retaining Wall with Panels |
CN105113555B (en) * | 2015-09-06 | 2017-02-01 | 湖南大学 | Reinforced earth retaining wall model test apparatus and method |
CN105910893B (en) * | 2016-06-30 | 2018-08-07 | 山东大学 | Soil pressure and rib tape stretching force detecting apparatus and method after reinforced earth retaining wall wall |
CN110186369B (en) * | 2019-05-20 | 2021-04-13 | 河海大学 | Experimental device and method for detecting strain of reinforced ring in reinforced soil structure |
CN110987335B (en) * | 2019-12-20 | 2021-10-15 | 防灾科技学院 | Method and device for determining position of potential fracture surface of two-stage reinforced soil structure |
-
2020
- 2020-06-09 CN CN202010519300.6A patent/CN111622260B/en active Active
Also Published As
Publication number | Publication date |
---|---|
CN111622260A (en) | 2020-09-04 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN111622260B (en) | Method for determining horizontal displacement of modular reinforced retaining wall in extreme state | |
CN104480962A (en) | Limited filling retaining wall earth pressure distribution calculation method | |
CN101487267B (en) | Pile-raft foundation with adjustable supporting rigidity and construction process | |
CN103237942B (en) | For building the disposable template of the modularization formwork for shallow foundation pouring piece | |
CN108049313A (en) | A kind of anchor body construction method | |
CN107201727A (en) | Cross a river Continuous box girder with cast-in-place cantilever method construction environmental-protection engineering method | |
CN103674589A (en) | Actual deformation measurement method for high template support system of concrete structure | |
CN204728528U (en) | The I-shaped encased steel plate shear wall of Multicarity | |
CN106988319A (en) | A kind of rapid constructing method of large deep foundation pit agent structure side wall | |
CN109881699B (en) | Method for molding and installing concrete tire of assembled tongue-and-groove Miller type universal raft foundation | |
CN112267450A (en) | Deep slab load in-situ test method for ultra-thick layer backfill soil | |
CN115481478A (en) | Mechanical property simulation method for large-diameter annular foundation pile | |
CN111501861B (en) | Experimental analogue means of vertical support column bearing capacity under reverse construction method construction environment | |
CN111501862B (en) | Method for simulating bearing capacity test of vertical support column in reverse construction method construction environment | |
CN111254973B (en) | Method for repairing extruded deformation of cutting retaining wall | |
Stirling | Flexural behavior of interlocking compressed earth block shear walls subjected to in-plane loading | |
CN111678783B (en) | Model and method for measuring upper load transfer coefficient of civil air defense of urban wall | |
CN214460560U (en) | Foundation reinforcing structure | |
CN111310265B (en) | Method for improving shear-resisting bearing capacity of balance weight type retaining wall | |
CN113006134B (en) | Slidable assembly device for prefabricated support beam and construction method | |
CN113668930B (en) | Bottom plate structure for closed type stacking grid frame foundation and retaining wall structure | |
CN205012327U (en) | Partially prefabricated friction pile | |
CN114969927B (en) | Calculation method for reinforced soil retaining wall rib tension considering wall toe resistance | |
CN111485587B (en) | Method for calculating bearing capacity of vertical support column in reverse construction method construction environment | |
CN209653376U (en) | It is a kind of can be with the concreting mold of slidable adjustment |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
PB01 | Publication | ||
PB01 | Publication | ||
SE01 | Entry into force of request for substantive examination | ||
SE01 | Entry into force of request for substantive examination | ||
GR01 | Patent grant | ||
GR01 | Patent grant |