CN113821859B - Gravity type retaining wall design method and device based on anti-slip target reliability index - Google Patents
Gravity type retaining wall design method and device based on anti-slip target reliability index Download PDFInfo
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Abstract
The invention provides a gravity type retaining wall design method and device based on a reliable index of an anti-slip target, which can rapidly and accurately obtain the size of the gravity type retaining wall meeting the reliable index of the anti-slip target and failure probability. The gravity type retaining wall design method based on the anti-slip target reliability index comprises the following steps: step 1, determining the number n of Monte Carlo samples according to the target failure probability; step 2, sampling according to the statistical characteristics of the step 1 and the random variables; step 3, calculating the dead weight critical value W of the retaining wall corresponding to each sample i The method comprises the steps of carrying out a first treatment on the surface of the Step 4, self weight threshold value W of retaining wall of all samples i Storing in a list, and sorting the numerical values in the list from small to large to obtain a new self-weight critical value set of the retaining wall; step 5, determining a sequence number k according to the target failure probability; step 6, dead weight W of the retaining wall corresponding to the kth sample k As the dead weight design value of the final retaining wall; and 7, determining the size of the retaining wall.
Description
Technical Field
The invention belongs to the technical field of geotechnical engineering design, and particularly relates to a gravity type retaining wall design method and device based on a reliable index of an anti-slip target.
Background
At present, the design of the gravity type retaining wall is still mainly designed with certainty, the safety coefficient is calculated through resistance and effect, and the safety coefficient is compared with the safety coefficient allowed by the specification, so that the gravity type retaining wall is used as an engineering safety evaluation index. This approach does not take into account the inherent uncertainty of geotechnical engineering and therefore has a major limitation. With the continued widespread use of reliability theory and design methods in civil engineering, the design of gravity retaining walls is gradually transitioning from deterministic to reliable designs.
For a target reliability, or target failure probability, the reliability design requires sizing a set of retaining walls such that the gravity type retaining wall slip resistance failure probability is equal to or approximately equal to the target failure probability. For a retaining wall of a given geometry, the probability of failure in slip resistance can be calculated by the Monte Carlo method. When the failure probability is larger than the target failure probability, the geometric dimension of the retaining wall needs to be manually adjusted, so that the failure probability is reduced. The adjustment mode mainly comprises the step of increasing the width of the retaining wall or the gradient of the retaining wall.
In order to ensure both the safety and the economy of the retaining wall design, it is necessary to constantly manually adjust the size of the retaining wall and repeatedly perform the monte carlo simulation until the slip failure probability thereof is equal to or close to the target failure probability. The design method has the advantages of large calculated amount, complex process and higher engineering application difficulty. Based on the above background, there is an urgent need for a highly efficient, simple and convenient design method for retaining wall anti-slip reliability, which is used for designing the size of gravity retaining wall meeting the target reliability index or failure probability.
Disclosure of Invention
The invention is made to solve the above problems, and an object of the invention is to provide a highly efficient and simple gravity type retaining wall design method and apparatus, which can rapidly and accurately obtain the gravity type retaining wall size satisfying the reliable index and failure probability of the anti-slip object.
In order to achieve the above object, the present invention adopts the following scheme:
< method >
As shown in fig. 1, the present invention provides a gravity type retaining wall design method based on an anti-slip target reliability index, which is characterized by comprising:
step 1, determining the number n of Monte Carlo samples according to the target failure probability;
step 2, sampling according to the statistical characteristics of the step 1 and the random variables;
step 3, calculating the dead weight critical value W of the retaining wall corresponding to each sample i I represents the number of the ith monte carlo sample;
for each drawn sample X i Carrying out deterministic analysis, and calculating a dead weight critical value of the retaining wall corresponding to the sample according to the following formula; the deterministic analysis model is shown in fig. 2; h is the height of the retaining wall, D is the width of the upper part of the retaining wall, L is the width of the lower part of the retaining wall, m is the gradient of the wall, W is the dead weight (kN/m) of the retaining wall per unit length, q is the uniform load (kPa/m) on the filling soil before acting on the wall, E a Represents the resultant force of the soil pressure (kN/m),is the breaking angle of soil body in front of wall, gamma 1 And gamma 2 The weights (kN/m) of the fill and wall respectively 3 )；
The resultant force of the active soil pressure (i.e., sliding force S) acting on the retaining wall is:
wherein c is the cohesive force (kPa) of the soil body; k (K) a Is an active soil pressure coefficient, and the expression is as follows:
wherein f is the friction coefficient in the soil body.
The anti-slip force generated by the wall body is:
R＝Wf 0 (3-3)
wherein f 0 The friction coefficient between the bottom of the wall body and foundation soil. The dead weight of the wall can also be expressed as:
for the sliding stability, the safety factor is defined as:
when the safety factor is equal to 1, the retaining wall is in a sliding critical state, at this time, thus, the self weight of the retaining wall in the slip critical state can be obtained:
wherein K is a Is an active soil pressure coefficient; c is the cohesive force of the soil body; f (f) 0 The friction coefficient between the bottom of the wall body and foundation soil;
for each sample X of Monte Carlo i All can calculate the dead weight critical value W of the retaining wall through the method i The method comprises the steps of carrying out a first treatment on the surface of the Since the self weight and the sliding stability of the retaining wall are positively correlated, that is, the larger the self weight of the retaining wall is, the larger the resistance to sliding thereof is, therefore, when the self weight W of the retaining wall is designed>W i When the resistance R of the ith sample is larger than the sliding force S, the retaining wall is in a safe state (does not slide); otherwise, the retaining wall slides;
step 4, the dead weight critical value W of the retaining wall of all the samples obtained in the step 3 i Storing in a list, and sorting the numerical values in the list from small to large to obtain a new self-weight critical value set of the retaining wall:
W＝{W 1 ,W 2 …W i …W n } (4)
wherein W is 1 ≤W 2 ≤…≤W i ≤…≤W n ；
Step 5 in equation (4), W n The maximum value of dead weight critical values of all the sample retaining walls is set; if the value is adopted as the design value of the self weight of the retaining wall, the nth sample is in a sliding critical state, all other samples are in a stable state (not sliding), and the probability of sliding of the retaining wall is 0; according to the target failure probability P T Determining a sequence number k such that:
k＝n(1-P T ) (5-1)
for the kth sample, there is nP T The sequence number of the individual samples is larger than k. For example, using a critical value W k As a design value, all samples with sequence numbers greater than k will be in a failure state, and the other samples are in a steady state. Thus, the corresponding W is obtained k The retaining wall slip probability of (1) is:
P＝nP T /n＝P T (5-2)
step 6. Sample kCorresponding self weight W of retaining wall k As the dead weight design value of the final retaining wall;
step 7, presetting the width of the upper part of the retaining wall as D * Thereby calculating the slope m of the retaining wall * ：
Alternatively, the slope of the retaining wall is preset to be m * Thereby calculating the width D of the upper part of the retaining wall * The method comprises the following steps:
when the upper width and slope are determined, the lower width L of the retaining wall may be determined as:
L * ＝Hm * +D * (7-3)
thus, the size of the retaining wall is determined entirely, and the retaining wall of this size satisfies the requirement of the slip target failure probability.
Preferably, the gravity type retaining wall design method based on the anti-slip target reliability index provided by the invention can also have the following characteristics: in step 1, according to the target failure probability P T Determining the number n of Monte Carlo samples:
n≥100/P T (1-1)
the acquired monte carlo samples are expressed as:
X＝{X 1 ,X 2 …X i …X n in the formula (1-2), i represents the number of the ith Monte Carlo sample.
Preferably, the gravity type retaining wall design method based on the anti-slip target reliability index provided by the invention can also have the following characteristics: in step 2, the collected sample distribution is more uniform and representative, latin hypercube is adopted for hierarchical sampling, and the statistical characteristics according to random variables comprise distribution type, average value, standard deviation, variation coefficient and the like.
< device >
Furthermore, the invention also provides a gravity type retaining wall design device based on the reliable index of the anti-slip target, which is characterized by comprising the following components:
a sample amount determination unit that determines the number n of Monte Carlo samples based on the target failure probability;
a sampling unit for sampling according to the determined number of samples and the statistical characteristics of the random variables;
a retaining wall dead weight critical value calculating part for calculating a retaining wall dead weight critical value W corresponding to each sample i I represents the number of the ith monte carlo sample; the method comprises the following steps:
for each drawn sample X i And (3) carrying out deterministic analysis, and calculating a dead weight critical value of the retaining wall corresponding to the sample according to the following formula:
wherein, gamma 1 Is the dead weight of the soil body; h is the retaining wall and the filling height; k (K) a Is an active soil pressure coefficient; c is the cohesive force of the soil body; f (f) 0 The friction coefficient between the bottom of the wall body and foundation soil;
sorting part for sorting the dead weight critical value W of the retaining wall of all samples obtained by the dead weight critical value calculating part i Storing in a list, and sorting the numerical values in the list from small to large to obtain a new self-weight critical value set of the retaining wall:
W＝{W 1 ,W 2 …W i …W n } (4)
wherein W is 1 ≤W 2 ≤…≤W i ≤…≤W n ；
A sequence number determination unit for determining a target failure probability P T Determining a sequence number k such that:
k＝n(1-P T ) (5)
a retaining wall dead weight design value determining part for determining the dead weight W of the retaining wall corresponding to the kth sample k As a final resultIs a self-weight design value of the retaining wall;
a retaining wall dimension determining part for presetting the width of the upper part of the retaining wall as D * Thereby calculating the slope m of the retaining wall * ：
Alternatively, the slope of the retaining wall is preset to be m * Thereby calculating the width D of the upper part of the retaining wall * The method comprises the following steps:
when the upper width and slope are determined, the lower width L of the retaining wall may be determined as:
L * ＝Hm * +D * (7-3)
the control part is communicated with the sample amount determining part, the sampling part, the retaining wall dead weight critical value calculating part, the sequencing part, the sequence number determining part, the retaining wall dead weight design value determining part and the retaining wall size determining part, and controls the operation of the sample amount determining part, the sampling part, the retaining wall dead weight critical value calculating part, the sequencing part, the sequence number determining part, the retaining wall dead weight design value determining part and the retaining wall size determining part.
Preferably, the gravity type retaining wall design device based on the anti-slip target reliability index provided by the invention further comprises: and the input display part is in communication connection with the control part and is used for enabling a user to input an operation instruction and correspondingly display the operation instruction.
Preferably, the gravity type retaining wall design device based on the anti-slip target reliability index provided by the invention can also have the following characteristics: the input display part can correspondingly display the number of the samples determined by the sample amount determining part, the samples extracted by the sampling part, the retaining wall dead weight critical value list of all the samples obtained by the sorting part and the new retaining wall dead weight critical value set after sorting according to the user instruction, the sequence number determined by the sequence number determining part, the retaining wall dead weight design value determined by the retaining wall dead weight design value determining part and the retaining wall sizes determined by the retaining wall size determining part.
Preferably, the gravity type retaining wall design device based on the anti-slip target reliability index provided by the invention can also have the following characteristics: the input display section is also capable of displaying each size of the retaining wall determined by the retaining wall size determining section at a corresponding structural position of the retaining wall plan view or the model view according to a user instruction.
Preferably, the gravity type retaining wall design device based on the anti-slip target reliability index provided by the invention, wherein in the retaining wall dead weight critical value calculating part:
wherein f is the friction coefficient in the soil body.
Preferably, the gravity type retaining wall design device based on the anti-slip target reliability index provided by the invention can also have the following characteristics: in the sample size determining section, a target failure probability P is determined T Determining the number n of Monte Carlo samples:
n≥100/P T (1-1)
the acquired monte carlo samples are expressed as:
X＝{X 1 ,X 2 …X i …X n } (1-2)
where i denotes the number of the ith monte carlo sample.
Effects and effects of the invention
According to the gravity type retaining wall design method and device based on the anti-slip target reliable index, the self-weight critical value of each Monte Carlo sample is calculated according to the anti-slip resistance and sliding force formula of the retaining wall, the obtained self-weight critical values are ordered, and the sequence number of the self-weight critical value is obtained through the number of the samples and the target failure probability, so that the design value of the self weight of the retaining wall is determined. And then presetting a width parameter or a gradient parameter, and calculating another parameter through a self-weight formula of the retaining wall so as to determine the size of the retaining wall, and efficiently and accurately obtaining the geometric size of the gravity retaining wall meeting the design requirements of the anti-slip and anti-slip target failure probability and reliability. Compared with the prior art, the invention has the following beneficial effects:
1) The anti-slip reliable index of the retaining wall corresponding to each selected design parameter (namely the width D or the slope m of the top of the retaining wall) does not need to be calculated, and the time consumption of iterative calculation of the reliable index and calculation errors generated in the iterative process are avoided.
2) The existing design method of the anti-skid reliability of the retaining wall is to repeatedly conduct forward reliability analysis, and reliability or failure probability trial calculation is needed to be conducted on different design parameters for many times; the invention directly analyzes the inverse reliability, and can complete the design by only carrying out Monte Carlo simulation once and running a program once, thereby greatly simplifying the design process and improving the design efficiency.
3) For a set of identical samples, the computed failure probability may be exactly equal to the target failure probability, so the computed result is more accurate.
Drawings
FIG. 1 is a flow chart of a gravity retaining wall design method based on an anti-slip target reliability index according to the present invention;
FIG. 2 is a schematic diagram of a deterministic analysis model of a retaining wall according to the present invention;
FIG. 3 is a schematic diagram of a sample distribution of Monte Carlo according to the present invention;
FIG. 4 is a graph showing the result of the dead weight threshold of the retaining wall after sorting according to the present invention;
FIG. 5 is a graph showing the comparison of the simulation results of the width Monte Carlo at the top of the retaining wall according to the present invention;
fig. 6 is a graph showing the comparison of simulation results of the slope monte carlo of the retaining wall according to the present invention.
Detailed Description
The following describes in detail the specific embodiments of the gravity type retaining wall design method and apparatus based on the reliable index of the sliding resistance target according to the present invention with reference to the accompanying drawings. In the following examples, all the processes involved, including latin sampling, critical retaining wall dead weight calculation, sequencing and retaining wall size reliability design, were performed using the programming software Python, but other similar software could be used; the steps and methods involved, unless otherwise specified, are all conventional.
Example 1
In the first embodiment, the retaining wall and the filling height are both H=9m, the uniform load q=100deg.kPa/m, and the dead weights of the soil body and the retaining wall are gamma 1 ＝18kN/m 3 And gamma 2 ＝24kN/m 3 . The cohesive force of the soil body, the friction coefficient in the soil body and the friction coefficient between the bottom of the retaining wall and the foundation soil are random variables obeying the regular distribution. Wherein the average value mu of cohesive force c =20 kPa, standard deviation σ c =4kpa; average value mu of friction coefficient in soil f =0.7, standard deviation σ f =0.07; average value mu of friction coefficient between wall and foundation soil f0 =0.5, standard deviation σ f =0.05. The target reliability index is beta T = 3.719, corresponding failure probability P T ＝1.0×10 -4 . It is required that the retaining wall dimension parameters D and m are designed so that they satisfy the sliding target reliability (failure probability). It is required that the retaining wall dimension parameters D and m are designed so that they satisfy the sliding target reliability (failure probability).
The gravity type retaining wall design method based on the anti-slip target reliability index is adopted for foundation width design, and specifically comprises the following steps:
(1) The embodiment is based on the target failure probability P T ＝1.078×10 -4 The number of Monte Carlo samples was determined as:
n＝1000/P T ＝1×10 7 (1)
the number of the samples is 10 times as large as the minimum requirement, and the difference of results caused by different collected samples can be reduced as much as possible.
(2) Latin hypercube sampling is performed according to three random variable statistics, the samples are shown in FIG. 3. Since the number of samples used in this embodiment is too large to be displayed in its entirety, fig. 3 only shows n=10/P T Samples of monte carlo. The distribution range and the shape are similar to those of samples actually used.
(3) For each drawn sample X i All through deterministic analysis, calculate the gearDead weight critical value W of soil wall i 。
(4) Storing the dead weight critical values of the retaining walls of all the samples obtained in the step (3) in a list, and sequencing the numerical values in the list from small to large, wherein the result is shown in the figure:
(5) The numerical value of the sequence number k is determined according to the number of samples and the target failure probability:
k＝n(1-P T )＝9999000 (5)
(6) The dead weight critical value w of the retaining wall corresponding to the kth= 9999000 samples k = 1159.26 as the final retaining wall dead weight design value (see the intersection of the broken lines in fig. 4).
(7) Since the geometry of the retaining wall is determined by two parameters, namely, width and slope, it is necessary to set the value of one parameter in advance, if the width of the top of the retaining wall is set to D * =3 (m), the slope of the retaining wall can be determined as:
if the retaining wall gradient is set to m * =0.5, the width of the retaining wall top can be determined as:
both designs can meet the requirement of the failure probability of the sliding target.
Since the samples sampled each time are different, there is a certain difference in the monte carlo simulation results, and in order to evaluate the stability of the method, the embodiment performs 10 monte carlo simulations, the results of which are shown in fig. 5 and 6, wherein the average value of the design values of the upper width of the retaining wall is 3.116m, and the standard deviation is only 0.006m; the average value of the design values of the retaining wall gradient is 0.526m, and the standard deviation is 0.002. For the geometric dimension of the retaining wall, the deviations are basically negligible, which indicates that the method has higher accuracy and stability.
< example two >
The second embodiment provides a device for efficiently and accurately designing the reliability of the bearing capacity of the foundation based on the gravity type retaining wall design method of the anti-slip target reliability index, which comprises a sample amount determining part, a sampling part, a retaining wall dead weight critical value calculating part, a sequencing part, a sequence number determining part, a retaining wall dead weight design value determining part, a retaining wall size determining part, an input display part and a control part.
The sample amount determining part determines the number n of Monte Carlo samples according to the target failure probability;
the sampling part performs random sampling according to the determined sample number and the statistical characteristics of random variables;
the retaining wall dead weight critical value calculating part calculates the retaining wall dead weight critical value W corresponding to each sample i I represents the number of the ith monte carlo sample; the method comprises the following steps:
for each drawn sample X i And (3) carrying out deterministic analysis, and calculating a dead weight critical value of the retaining wall corresponding to the sample according to the following formula:
wherein, gamma 1 Is the dead weight of the soil body; h is the height of the retaining wall; k (K) a Is an active soil pressure coefficient; c is the cohesive force of the soil body; f (f) 0 The friction coefficient between the bottom of the wall body and foundation soil;
the sorting part sorts the dead weight critical values W of the retaining wall of all the samples obtained by the dead weight critical value calculating part i Storing in a list, and sorting the numerical values in the list from small to large to obtain a new self-weight critical value set of the retaining wall:
W＝{W 1 ,W 2 …W i …W n } (4)
wherein W is 1 ≤W 2 ≤…≤W i ≤…≤W n ；
The sequence number determining part determines the target failure probability P T Determining a sequence number k such that:
k＝n(1-P T ) (5)
the retaining wall dead weight design value determining part determines the dead weight W of the retaining wall corresponding to the kth sample k As the dead weight design value of the final retaining wall;
the retaining wall dimension determining part presets the width of the upper part of the retaining wall as D * Thereby calculating the slope m of the retaining wall * ：
Alternatively, the slope of the retaining wall is preset to be m * Thereby calculating the width D of the upper part of the retaining wall * The method comprises the following steps:
when the upper width and slope are determined, the lower width L of the retaining wall may be determined as:
L * ＝Hm * +D * (7-3)
the input display part is used for enabling a user to input an operation instruction and correspondingly display the operation instruction. Specifically, the input display unit can display the number of samples determined by the sample size determining unit, the samples extracted by the sampling unit, the retaining wall weight threshold list of all the samples obtained by the sorting unit, and the new retaining wall weight threshold set after sorting, the sequence number determined by the sequence number determining unit, the retaining wall weight design value determined by the retaining wall weight design value determining unit, and the retaining wall sizes determined by the retaining wall size determining unit, respectively. Further, the input display section is also capable of displaying each size of the retaining wall determined by the retaining wall size determining section at a corresponding structural position of the retaining wall plan view or the model view according to a user instruction.
The control part is communicated with the sample amount determining part, the sampling part, the retaining wall dead weight critical value calculating part, the sequencing part, the sequence number determining part, the retaining wall dead weight design value determining part, the retaining wall size determining part and the input display part, and controls the operation of the sample amount determining part, the sampling part, the retaining wall dead weight critical value calculating part, the sequencing part, the sequence number determining part, the retaining wall dead weight design value determining part and the input display part.
The above embodiments are merely illustrative of the technical solutions of the present invention. The gravity type retaining wall design method and apparatus based on the anti-slip target reliability index according to the present invention are not limited to the above embodiments, but the scope of the invention is defined by the claims. Any modifications, additions or equivalent substitutions made by those skilled in the art based on this embodiment are within the scope of the invention as claimed in the claims.
Claims (10)
1. The gravity type retaining wall design method based on the anti-slip target reliability index is characterized by comprising the following steps of:
step 1, determining the number n of Monte Carlo samples according to the target failure probability;
step 2, sampling according to the statistical characteristics of the step 1 and the random variables;
step 3, calculating the dead weight critical value W of the retaining wall corresponding to each sample i I represents the number of the ith monte carlo sample;
for each drawn sample X i And (3) carrying out deterministic analysis, and calculating a dead weight critical value of the retaining wall corresponding to the sample according to the following formula:
wherein, gamma 1 Is the dead weight of the soil body; h is the height of the retaining wall; k (K) a Is an active soil pressure coefficient; c is the cohesive force of the soil body; f (f) 0 The friction coefficient between the bottom of the wall body and foundation soil;
step 4, the dead weight critical value W of the retaining wall of all the samples obtained in the step 3 i Storing in a list, and sorting the numerical values in the list from small to large to obtain a new self-weight critical value set of the retaining wall:
W＝{W 1 ，W 2 ...W i ...W n } (4)
wherein W is 1 ≤W 2 ≤…≤W i ≤…≤W n ；
Step 5, according to the target failure probability P T Determining a sequence number k such that:
k＝n(1-P T ) (5)
step 6, dead weight W of the retaining wall corresponding to the kth sample k As the dead weight design value of the final retaining wall;
step 7, presetting the width of the upper part of the retaining wall as D * Thereby calculating the slope m of the retaining wall * ：
Alternatively, the slope of the retaining wall is preset to be m * Thereby calculating the width D of the upper part of the retaining wall * The method comprises the following steps:
when the upper width and slope are determined, the lower width L of the retaining wall may be determined as:
L * ＝Hm * +D * (7-3)
thus, the size of the retaining wall is determined entirely, and the retaining wall of this size satisfies the requirement of the slip target failure probability.
2. The gravity retaining wall design method based on the anti-slip target reliability index according to claim 1, wherein the method comprises the following steps:
wherein in step 1, according to the target failure probability P T Determining the number n of Monte Carlo samples:
n≥100/P T (1-1)
the acquired monte carlo samples are expressed as:
X＝{X 1 ，X 2 ...X i ...X n } (1-2)
where i denotes the number of the ith monte carlo sample.
3. The gravity retaining wall design method based on the anti-slip target reliability index according to claim 1, wherein the method comprises the following steps:
in step 2, hierarchical sampling is performed by using a pull Ding Chao cube, and the statistical characteristics according to random variables comprise distribution type, average value, standard deviation and variation coefficient.
4. The gravity retaining wall design method based on the anti-slip target reliability index according to claim 1, wherein the method comprises the following steps:
wherein, in step 3:
wherein f is the friction coefficient in the soil body.
5. Gravity type retaining wall design device based on reliable index of antiskid target, characterized by, include:
a sample amount determination unit that determines the number n of Monte Carlo samples based on the target failure probability;
a sampling unit for sampling according to the determined number of samples and the statistical characteristics of the random variables;
a retaining wall dead weight critical value calculating part for calculating a retaining wall dead weight critical value W corresponding to each sample i I represents the number of the ith monte carlo sample; the method comprises the following steps:
for each drawn sample X i And (3) carrying out deterministic analysis, and calculating a dead weight critical value of the retaining wall corresponding to the sample according to the following formula:
wherein, gamma 1 Is the dead weight of the soil body; h is the height of the retaining wall; k (K) a Is an active soil pressure coefficient; c is the cohesive force of the soil body; f (f) 0 The friction coefficient between the bottom of the wall body and foundation soil;
sorting part for sorting the dead weight critical value W of the retaining wall of all samples obtained by the dead weight critical value calculating part i Storing in a list, and sorting the numerical values in the list from small to large to obtain a new self-weight critical value set of the retaining wall:
W＝{W 1 ，W 2 ...W i ...W n } (4)
wherein W is 1 ≤W 2 ≤…≤W i ≤…≤W n ；
A sequence number determination unit for determining a target failure probability P T Determining a sequence number k such that:
k＝n(1-P T ) (5)
the retaining wall dead weight design value determining part determines the dead weight W of the retaining wall corresponding to the kth sample k As the dead weight design value of the final retaining wall;
a retaining wall dimension determining part for presetting the width of the upper part of the retaining wall as D * Thereby calculating the slope m of the retaining wall * ：
Alternatively, the slope of the retaining wall is preset to be m * Thereby calculating the width D of the upper part of the retaining wall * The method comprises the following steps:
when the upper width and slope are determined, the lower width L of the retaining wall may be determined as:
L * ＝Hm * +D * (7-3)
the control part is communicated with the sample amount determining part, the sampling part, the retaining wall dead weight critical value calculating part, the sequencing part, the sequence number determining part, the retaining wall dead weight design value determining part and the retaining wall size determining part to control the operation of the sample amount determining part, the sampling part, the retaining wall dead weight critical value calculating part, the sequencing part, the sequence number determining part, the retaining wall dead weight design value determining part and the retaining wall size determining part.
6. The gravity type retaining wall design device based on the anti-slip target reliability index according to claim 5, further comprising:
and the input display part is in communication connection with the control part and is used for enabling a user to input an operation instruction and correspondingly display the operation instruction.
7. The gravity type retaining wall design device based on the anti-slip target reliability index according to claim 6, wherein:
the input display part can display the number of the samples determined by the sample amount determining part according to a user instruction, samples extracted by the sampling part, a retaining wall dead weight critical value list of all the samples obtained by the sorting part and a new retaining wall dead weight critical value set after sorting, the sequence number determined by the sequence number determining part, and the retaining wall dead weight design value determined by the retaining wall dead weight design value determining part and each size of the retaining wall determined by the retaining wall size determining part correspondingly.
8. The gravity type retaining wall design device based on the anti-slip target reliability index according to claim 7, wherein:
wherein the input display section is further capable of displaying each size of the retaining wall determined by the retaining wall size determining section at a corresponding structural position of a retaining wall plan view or a model view according to a user instruction.
9. The gravity type retaining wall design device based on the anti-slip target reliability index according to claim 5, wherein:
wherein, in the retaining wall dead weight threshold value calculating section:
wherein f is the friction coefficient in the soil body.
10. The gravity type retaining wall design device based on the anti-slip target reliability index according to claim 5, wherein:
wherein, in the sample size determining section, according to the target failure probability P T Determining the number n of Monte Carlo samples:
n≥100/P T (1-1)
the acquired monte carlo samples are expressed as:
X＝{X 1 ，X 2 ...X i ...X n } (1-2)
where i denotes the number of the ith monte carlo sample.
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