Design method of drainage channel suitable for slope toe of road side slope

Abstract

The invention discloses a drainage channel design method suitable for a road slope toe, and relates to the technical field of drainage channel design, the height and width of a drainage channel are determined according to the actual water passing amount condition, and a gravity expression of the drainage channel is obtained according to the size of the drainage channel. And then the soil pressure distribution form of the road side wall of the drainage channel is deduced by analyzing the overall stress of the drainage channel. According to a traditional design mode, difference of soil pressure on the two sides is not considered, the two side walls are symmetrically designed only according to stress of the side slope side, the wall thickness of the side wall of the road side of the drainage channel is large, more materials are used during construction, larger space is occupied, and resource waste is caused. According to the method, the wall thickness of the side wall is further calculated and reduced according to the soil pressure distribution of the side wall of the road side, the accuracy of the calculation result on safety evaluation is improved, and the engineering cost can be saved on the premise of safety.

Description

Technical Field

[0001] The invention relates to the technical field of drainage channel design, and in particular to a drainage channel design method suitable for the foot of a road slope. Background Art

[0002] In actual projects, many rivers are built as open channels along the mountain for both landscape and flood discharge functions, that is, the drainage channels at the foot of the road cutting slope. At present, the wall thickness and steel bar arrangement on both sides of the drainage channel are designed according to the side with greater force. This technology discusses the force analysis of the soil pressure on the side wall of the drainage channel on the road side, so as to design the side walls of the asymmetric loaded drainage channel at the foot of the road slope separately. If only the force on the slope side is taken to design the symmetrical side walls on both sides, the wall thickness of the road side wall of the drainage channel may be larger, resulting in waste. Summary of the invention

[0003] One of the purposes of the present invention is to provide a drainage channel design method suitable for the foot of a road slope. By analyzing the overall force of the drainage channel, the soil pressure distribution form of the side wall of the drainage channel is derived, and the wall thickness and steel bar distribution of the side wall are further calculated based on the soil pressure distribution, thereby improving the accuracy of the calculation results for safety evaluation and solving the problem that the existing design method makes the wall thickness of the side wall of the drainage channel larger.

[0004] The above-mentioned purpose of the invention can be achieved through the following technical solutions.

[0005] A drainage channel design method suitable for the foot of a road slope comprises the following steps:

[0006] Acquire size parameters of the drainage channel, and obtain the gravity of the drainage channel according to the size parameters of the drainage channel, wherein one side of the drainage channel is a road, and the other side of the drainage channel is a road slope;

[0007] The pressure distribution of the drainage channel on one side of the road slope is established according to the Coulomb active earth pressure, and the pressure distribution of the drainage channel on one side of the road slope is calculated by the drainage channel being in a force equilibrium state according to the gravity of the drainage channel and the pressure distribution of the drainage channel on one side of the road slope;

[0008] The side wall thickness of the drainage channel on the side of the road is determined according to the pressure distribution of the drainage channel on the side of the road.

[0009] The drainage channel design method applicable to the foot of the road slope as described above further includes obtaining the size parameters of the drainage channel and obtaining the gravity of the drainage channel according to the size parameters of the drainage channel, specifically including:

[0010] According to the actual drainage volume requirements of the project, determine the height H and width B of the drainage channel, and preset the thickness of the drainage channel bottom plate and the thickness of the two side walls based on engineering experience;

[0011] The volume of the drainage channel can be obtained according to the height H and the width B of the drainage channel, as well as the thickness of the bottom plate of the preset drainage channel and the thickness of the two side walls of the drainage channel;

[0012] The gravity of the drainage channel is calculated according to the volume of the drainage channel and the density of the drainage channel.

[0013] The drainage channel design method applicable to the foot of the road slope as described above further establishes the pressure distribution of the drainage channel on one side of the road slope based on the Coulomb active earth pressure, and calculates the pressure distribution of the drainage channel on one side of the road based on the gravity of the drainage channel and the pressure distribution of the drainage channel on one side of the road slope when the drainage channel is in a force equilibrium state, specifically including:

[0014] The active earth pressure E of the drainage channel on the road slope side is calculated based on Coulomb's active earth pressure. a and the active earth pressure E a The height Z of the corresponding resultant force point ay According to the active earth pressure E a The horizontal and vertical components of the active earth pressure E are obtained. ax and the vertical component of active earth pressure E ay ; Assume the soil pressure of the drainage channel on the road side as E d , the earth pressure is E d The height of the corresponding resultant force point is Z dy ; The gravity of the drainage channel is G;

[0015] The drainage channel is in a state of force balance, and the following formula is obtained:

[0016] E d =E ax -μ(G+E ay )

[0017]

[0018] Where μ is the friction coefficient of the substrate,

[0019] The soil pressure E of the drainage channel on one side of the road is calculated by the above formula: d and the height Z of the corresponding resultant force point dy .

[0020] The drainage channel design method applicable to the foot of the road slope as described above further determines the side wall thickness of the drainage channel on the side of the road according to the pressure distribution of the drainage channel on the side of the road, specifically including:

[0021] According to Rankine's earth pressure theory, the active earth pressure E of the drainage channel on one side of the road is determined. da and passive earth pressure E dp And the distribution form:

[0022] According to the earth pressure E d , Active earth pressure E da and passive earth pressure E dp The relationship between the two, and, according to the height Z of the point of action of the resultant force dy The relationship between the height of the resultant force action point of the critical point of the triangular distribution and trapezoidal distribution is used to determine the resultant earth pressure E. d The distribution form of

[0023] According to the earth pressure force E d The distribution pattern of the drainage channel is used to determine the side wall thickness of the drainage channel on one side of the road.

[0024] The drainage channel design method applicable to the foot of the road slope as described above is further used to determine the active earth pressure E of the drainage channel on one side of the road according to the Rankine earth pressure theory. da and passive earth pressure E dp and distribution forms, including:

[0025] The active earth pressure is distributed in a triangle and is calculated according to the following formula:

[0026]

[0027] In the formula, E da is the active earth pressure, γ is the natural weight of the soil, K a is the dynamic earth pressure coefficient, Z 0 is the critical depth of active earth pressure;

[0028] Active earth pressure coefficient K a Calculated according to the following formula:

[0029]

[0030] Critical depth of active earth pressure z 0 Calculated according to the following formula:

[0031]

[0032] The passive earth pressure is distributed in a trapezoidal shape and is calculated according to the following formula:

[0033]

[0034] In the formula, E dp is the passive earth pressure, γ is the natural weight of the soil, K p is the passive earth pressure coefficient, c is the cohesion,

[0035] Passive earth pressure coefficient K p Calculated according to the following formula:

[0036]

[0037] The drainage channel design method applicable to the foot of the road slope as described above is further based on the soil pressure resultant force E d , the active earth pressure E da and passive earth pressure E dp The relationship between the size of the earth pressure and the distribution form is used to determine the earth pressure resultant force E. d The distribution forms include:

[0038] The earth pressure force E d The active earth pressure E calculated by Rankine earth pressure theory da and passive earth pressure E dp For comparison, when the active earth pressure E da <Earth pressure resultant force E d <Passive earth pressure E dp , earth pressure resultant force E d The distribution form should be between the triangular distribution and the trapezoidal distribution.

[0039] The drainage channel design method applicable to the foot of the road slope as described above is further based on the height Z of the combined force action point. dy The relationship between the height of the resultant force action point of the critical point of the triangular distribution and trapezoidal distribution is used to determine the resultant earth pressure E. d The distribution forms include:

[0040] If the height Z of the corresponding point of action of the resultant force dy When the height of the combined force point of the triangle distribution or trapezoidal distribution critical point is less than or equal to H / 3, the combined earth pressure E on that side is d The distribution form of is triangular distribution;

[0041] If the height Z of the corresponding point of action of the resultant force dy When the height of the combined force point is greater than H / 3 of the critical point of the triangle or trapezoidal distribution, the combined earth pressure E on that side d The distribution form is trapezoidal distribution.

[0042] Compared with the prior art, the present invention has the following beneficial effects: the method provided by the present invention complies with the design principles of safety and economy, and is more in line with the actual conditions of asymmetric loading under road slopes. For actual projects such as constructing open drainage channels at the foot of the slope, the wall thickness on the road side can be smaller than the wall thickness on the slope side, thereby saving engineering costs under the premise of safety. BRIEF DESCRIPTION OF THE DRAWINGS

[0043] In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings required for use in the embodiments are briefly introduced below. Obviously, the drawings described below are only some embodiments of the present application. For ordinary technicians in this field, other drawings can be obtained based on these drawings without creative work.

[0044] Figure 1 is a cross-sectional view of a drainage channel structure in an embodiment of the present invention;

[0045] Figure 2 is a distribution diagram of active earth pressure on the side wall of the slope in an embodiment of the present invention;

[0046] Figure 3 It is a schematic diagram of the overall force balance of the drainage channel when the resultant earth pressure on the side wall of the road involved in the embodiment of the present invention and its action point are deduced;

[0047] Figure 4 The figure is a side wall earth pressure distribution form diagram derived according to the road side wall earth pressure resultant force and its action point in an embodiment of the present invention.

[0048] Figure 5 The present invention is a flowchart of a method for designing a drainage channel at the foot of a road slope in an embodiment of the present invention.

[0049] In the figure: 1. Drainage ditch, 2. Side wall of drainage ditch slope, 3. Side wall of drainage ditch road, 4. Bottom plate of drainage ditch, 5. Road slope. DETAILED DESCRIPTION

[0050] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present application, not all of the embodiments. Based on the embodiments in the present application, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of this application.

[0051] Example:

[0052] It should be noted that the terms "including" and "having" and any variations of the embodiments of the present invention are intended to cover non-exclusive inclusions. For example, a process, method, system, product or device that includes a series of steps or units is not necessarily limited to those steps or units clearly listed, but may include other steps or units that are not clearly listed or inherent to these processes, methods, products or devices.

[0053] Figure 5 FIG. 1 is a flow chart of a drainage channel design method applicable to the foot of a road slope in an embodiment of the present invention. Figure 5 As shown, the drainage channel design method applicable to the foot of a road slope provided by an embodiment of the present invention may specifically include the following steps:

[0054] Step 1: Obtain the size parameters of the drainage channel, and obtain the gravity of the drainage channel according to the size parameters of the drainage channel and the density of the drainage channel, wherein one side of the drainage channel is a road, and the other side of the drainage channel is a road slope.

[0055] The specific implementation includes the following steps: determining the height H and width B of the drainage channel according to the actual drainage volume requirements of the project, and presetting the bottom plate thickness and the thickness of the two side walls of the drainage channel according to engineering experience; obtaining the volume of the drainage channel according to the height H and width B of the drainage channel, as well as the preset bottom plate thickness of the drainage channel and the thickness of the two side walls of the drainage channel; and calculating the gravity of the drainage channel according to the volume of the drainage channel and the density of the drainage channel.

[0056] Figure 1 FIG. 1 is a cross-sectional view of a drainage channel structure in an embodiment of the present invention, as shown in FIG. Figure 2 As shown, the left side of the drainage channel is the road, and the right side is the road slope, wherein the left wall of the drainage channel is the road side wall, and its thickness is set to b1; the right wall of the drainage channel is the slope side wall, and its thickness is set to b3; the net width of the drainage channel is set to b2, and the width B of the drainage channel can be determined by b1, b2 and b3; the net height of the drainage channel is set to h1, and the bottom thickness of the drainage channel is the bottom plate thickness, and its thickness is set to h2, and the height H of the drainage channel can be determined by h1 and h2.

[0057] Step 2: Establish the pressure distribution of the drainage channel on one side of the road slope based on Coulomb's active earth pressure. According to the gravity of the drainage channel and the pressure distribution of the drainage channel on one side of the road slope, calculate the pressure distribution of the drainage channel on one side of the road when the drainage channel is in a force equilibrium state.

[0058] The specific implementation includes the following steps: according to the Coulomb active earth pressure, the active earth pressure E of the drainage channel on one side of the road slope is calculated. a and the active earth pressure E a The height Z of the corresponding resultant force pointay According to the active earth pressure E a The horizontal and vertical components of the active earth pressure E are obtained. ax and the vertical component of active earth pressure E ay ; Assume the soil pressure of the drainage channel on the road side as E d , the earth pressure is E d The height of the corresponding resultant force point is Z dy ; The gravity of the drainage channel is G;

[0059] The drainage channel is in a state of force balance, and the following formula is obtained:

[0060] E d =E ax -μ(G+E ay )

[0061]

[0062] Where μ is the friction coefficient of the substrate,

[0063] The soil pressure E of the drainage channel on one side of the road is calculated by the above formula: d and the height Z of the corresponding resultant force point dy .

[0064] Step 3: Determine the side wall thickness of the drainage channel on the road side according to the pressure distribution of the drainage channel on the road side.

[0065] The specific implementation includes the following steps: determining the active earth pressure E of the drainage channel on one side of the road according to the Rankine earth pressure theory. da and passive earth pressure E dp And distribution form: According to the earth pressure E d , Active earth pressure E da and passive earth pressure E dp And, according to the earth pressure E d The height Z of the point where the resultant force acts ay and active earth pressure E da The height of the resultant force point and the passive earth pressure E dp The relationship between the heights of the combined force action points is used to determine the earth pressure combined force E. d The distribution form of the earth pressure resultant E d The distribution pattern of the drainage channel is used to determine the side wall thickness of the drainage channel on one side of the road.

[0066] The active earth pressure E of the drainage channel on one side of the road is determined according to the Rankine earth pressure theory: da and passive earth pressure E dp and distribution forms, including:

[0067] The active earth pressure is distributed in a triangle and is calculated according to the following formula:

[0068]

[0069] In the formula, E da is the active earth pressure, γ is the natural weight of the soil, K a is the dynamic earth pressure coefficient, Z 0 is the critical depth of active earth pressure;

[0070] Active earth pressure coefficient K a Calculated according to the following formula:

[0071]

[0072] Critical depth of active earth pressure z 0 Calculated according to the following formula:

[0073]

[0074] The passive earth pressure is distributed in a trapezoidal shape and is calculated according to the following formula:

[0075]

[0076] In the formula, E dp is the passive earth pressure, γ is the natural weight of the soil, K p is the passive earth pressure coefficient, c is the cohesion,

[0077] Passive earth pressure coefficient K p Calculated according to the following formula:

[0078]

[0079] According to the earth pressure resultant force E d , the active earth pressure E da and passive earth pressure E dp The relationship between the size of the earth pressure and the distribution form is used to determine the earth pressure resultant force E. d The distribution forms include:

[0080] The earth pressure force E d The active earth pressure E calculated by Rankine earth pressure theory da and passive earth pressure E dp For comparison, when the active earth pressure E da <Earth pressure resultant force E d <Passive earth pressure E dp , earth pressure resultant force E d The distribution form should be between the triangular distribution and the trapezoidal distribution.

[0081] Among them, according to the height Z of the point of action of the resultant force dy The relationship between the height of the resultant force action point of the critical point of the triangular distribution and trapezoidal distribution is used to determine the resultant earth pressure E. d The distribution form:

[0082] If the height Z of the corresponding point of action of the resultant force dy When the height of the combined force point of the triangle distribution or trapezoidal distribution critical point is less than or equal to H / 3, the combined earth pressure E on that side is d The distribution form of is triangular distribution;

[0083] If the height Z of the corresponding point of action of the resultant force dy When the height of the combined force point is greater than H / 3 of the critical point of the triangle or trapezoidal distribution, the combined earth pressure E on that side d The distribution form is trapezoidal distribution.

[0084] As a preferred implementation, the drainage channel design method applicable to the foot of a road slope provided in an embodiment of the present invention may specifically include the following steps:

[0085] Step S1: Determine the height and width of the drainage channel according to the actual drainage volume requirements of the project. Under the premise of the concept of the present invention, the thickness of the drainage channel bottom plate and the thickness of the two side walls can be preset according to engineering experience;

[0086] Step S2: According to the height and width of the drainage channel and the preset bottom plate thickness and side wall thickness, the volume of the drainage channel can be obtained, and the gravity of the drainage channel can be obtained from the volume and the density of the drainage channel;

[0087] Step S3: Calculate the lateral earth pressure on the side wall of the slope, and calculate the active earth pressure on the side wall of the drainage channel slope according to Coulomb's active earth pressure to obtain the active earth pressure E a And the corresponding resultant force point Z ay , and calculate the lateral earth pressure relative to the lateral earth bending moment of the drainage ditch; the lateral earth pressure refers to the force of the soil acting on the structure. The lateral earth pressure can produce a bending moment on the drainage ditch. The lateral earth pressure and the lateral earth bending moment caused by the lateral earth pressure are calculated based on the size of the drainage ditch and the characteristics of the soil itself.

[0088] Step S4: By analyzing the drainage channel as a whole and finding it to be in a state of force equilibrium, an equilibrium equation is established based on the drainage channel size and gravity determined in step S2, and the lateral earth pressure and lateral earth bending moment of the side wall of the slope determined in step S3. The resultant earth pressure on the side wall of the drainage channel and its point of action can be obtained based on the equilibrium equation. The equilibrium equation is:

[0089] E d =E ax -μ(G+E ay )

[0090]

[0091] In the formula, E d is the resultant earth pressure on the side wall of the drainage channel, E ax is the horizontal component of active earth pressure on the side wall of the drainage channel slope, μ is the base friction coefficient, G is the deadweight of the drainage channel, E ay is the vertical component of active earth pressure on the side wall of the drainage channel slope; Z dy is the height of the combined force of the earth pressure on the side wall of the drainage channel, B is the width of the drainage channel, Z ay It is the height of the point where the resultant earth pressure on the side wall of the drainage channel slope acts.

[0092] Step S5: Calculate the distribution form and resultant force of the active earth pressure and passive earth pressure on the side wall of the drainage channel according to the Rankine earth pressure theory;

[0093] The active earth pressure on the sidewall of the drainage channel is distributed in a triangle and is calculated according to the following formula:

[0094]

[0095] The road side active earth pressure coefficient K a Calculated according to the following formula:

[0096]

[0097] The critical depth z of the active earth pressure on the road side 0 Calculated according to the following formula:

[0098]

[0099] The height Z of the active earth pressure resultant action point on the road side day Calculated according to the following formula:

[0100]

[0101] The passive earth pressure on the sidewall of the drainage channel is distributed in a trapezoidal shape and is calculated according to the following formula:

[0102]

[0103] The road side passive earth pressure coefficient K p Calculated according to the following formula:

[0104]

[0105] The height Z of the resultant action point of the passive earth pressure on the road side dpy Calculated according to the following formula:

[0106]

[0107] Step S6: The actual earth pressure E obtained by the equilibrium equation d The active earth pressure E obtained by Rankine earth pressure theory da and passive earth pressure E dp By comparison, it is found that the actual earth pressure is between the active earth pressure and the passive earth pressure, that is, the active earth pressure on the road side E da <Earth pressure on the side wall of drainage channel road d <Passive earth pressure on the road side E dp At the same time, according to the actual soil pressure resultant action point height Z obtained in step S4 dy and the height Z of the active earth pressure resultant action point obtained in step S5 day , Height Z of the passive earth pressure resultant action point dpy For comparison, the height Z of the active earth pressure resultant action point on the road side day <Height Z of the combined earth pressure acting point on the side wall of the drainage channel dy <Height Z of the resultant action point of passive earth pressure on the road side dpy , see Figure 4 Therefore, the distribution form of soil pressure on the side wall of the drainage channel should be between the triangular distribution and the trapezoidal distribution.

[0108] Step S7: To further determine the distribution form of the earth pressure on the road side wall, the distribution form of the actual earth pressure on the road side wall of the drainage channel is derived according to the relationship between the resultant action point of the actual earth pressure on the side and the resultant action point of the critical points of the triangle and trapezoid distribution;

[0109] If the combined earth pressure on the drainage channel side wall is applied at point Z dy When the resultant force point H / 3 is less than or equal to the critical point of the triangle and trapezoidal distribution, the earth pressure distribution on this side is a triangle distribution;

[0110] If the combined earth pressure on the drainage channel side wall is applied at point Z dy When the resultant force point H / 3 is greater than the critical point of the triangle and trapezoidal distribution, the earth pressure distribution on this side is trapezoidal distribution;

[0111] Step S8: Design the sidewall of the drainage channel road according to the actual distribution of soil pressure, and further reduce the wall thickness b1 on the premise that its cross-sectional bearing capacity is verified and cracks meet the requirements.

[0112] Please refer to Figure 1, the slope height is 8m, the slope ratio is 1:1.5, and the width of the slope debris platform is 1m. The soil layer is homogeneous soil, the cohesion c = 10kPa, the internal friction angle φ = 20°, the natural weight of the soil γ = 19kN / m3, the base friction coefficient μ = 0.25, and the weight of the water in the culvert is ignored as an unfavorable factor.

[0113] Step S1: According to drainage requirements, the net height h1 of the drainage channel is 4m, the bottom plate thickness h2 is 0.5m, and the total height H is 4.5m; the road side wall thickness b1 is 0.3m, the net width b2 of the drainage channel is 3m, the slope side wall thickness b3 is 0.4m, and the total width B is 3.7m.

[0114] Step S2: The drainage channel adopts reinforced concrete structure with a bulk density of 26kN / m3. According to the size of the drainage channel, the volume per linear meter is 4.65m 3 , the self-weight of the drainage channel G = 120.9kN / m.

[0115] Step S3: Calculate the lateral earth pressure on the side wall of the slope according to Coulomb's active earth pressure. For specific earth pressure distribution, see Figure 2 ;

[0116] Active earth pressure E a =156.2kN / m;

[0117] Horizontal component of active earth pressure E ax =149kN / m;

[0118] Vertical component of active earth pressure E ay =47kN / m;

[0119] Action point height Z ay =1.483(m).

[0120] Step S4: See Figure 3 , the horizontal component of active earth pressure on the slope side E ax =149kN / m, base friction coefficient μ = 0.25, drainage channel deadweight G = 120.9kN / m, active earth pressure vertical component E ay =47kN / m Substitute into the following horizontal force balance equation:

[0121] E d =E ax -μ(G+E ay )

[0122] Calculate the resultant earth pressure E on the road side d =107.025kN / m

[0123] See also Figure 3 , substitute the above data and the total width of the drainage channel B = 3.7 into the following moment equilibrium equation:

[0124]

[0125] Obtain the road side earth pressure resultant force action point Z dy =1.25m

[0126] Step S5: The active earth pressure on the sidewall of the drainage channel is distributed in a triangular shape, see Figure 4 (a)

[0127] The active earth pressure coefficient on the road side

[0128] Critical depth of active earth pressure on the road side

[0129] Active earth pressure on the road side

[0130] The passive earth pressure on the sidewall of the drainage channel is distributed in a trapezoidal shape, see Figure 4 (c)

[0131] The passive earth pressure coefficient on the road side

[0132] Passive earth pressure on the road side

[0133]

[0134] Step S6: Road side active earth pressure E da =41.83kN / m<Actual earth pressure E on the road side d =107.025kN / m<Passive earth pressure E on the road side dp =420.93kN / m, from which it can be concluded that the distribution of soil pressure on the side wall of the drainage channel should be between the triangular distribution and the trapezoidal distribution.

[0135] Step S7: To further determine the distribution form of the earth pressure on the road side wall, the distribution form of the actual earth pressure on the road side wall of the drainage channel is derived according to the relationship between the resultant action point of the actual earth pressure on the side and the resultant action point of the critical points of the triangle and trapezoid distribution;

[0136] The combined earth pressure action point Z on the side wall of the drainage channel dy =1.25m is smaller than the resultant force point H / 3=1.5m, which is the critical point of the triangular and trapezoidal distribution. It is deduced that the earth pressure distribution on this side is still triangular distribution. Figure 4 (b) At this time, the height of the earth pressure distribution is 1.25x3=3.75m.

[0137] Step S8: The combined design value of the bending moment of the side wall on the slope side is Mbd = 146.5 kN·m, and the combined design value of the bending moment of the side wall on the road side is Mdd = 74.7 N·m. According to the "Highway Reinforced Concrete and Prestressed Concrete Bridge and Culvert Design Code" (JTG3362-2018), in order to meet the cross-sectional reinforcement bearing capacity and crack requirements, the wall thickness of the slope side is 400 mm, the wall thickness of the road side is 300 mm, and the steel bars are configured with Φ25@100 mm.

[0138] According to the actual distribution of soil pressure, the roadside sidewalls of the drainage channel are designed to ensure that the cross-sectional bearing capacity is verified and the cracks meet the requirements. The wall thickness is optimized from 400mm symmetrical on both sides to 400mm on the slope side and 300mm on the road side.

[0139] The calculation process table is as follows

[0140]

[0141]

[0142] From the above results, it can be seen that the wall thickness of the drainage channel designed by the analytical calculation method proposed in the present invention is more economical.

[0143] In the description of this specification, the description with reference to the terms "one embodiment", "some embodiments", "example", "specific example", or "some examples" means that the specific features, structures, materials or characteristics described in conjunction with the embodiment or example are included in at least one embodiment or example of the present invention. In this specification, the schematic expressions of the above terms do not necessarily refer to the same embodiment or example.

Claims

1. A drainage channel design method suitable for the foot of a road slope, characterized in that: Includes steps: Acquire size parameters of the drainage channel, and obtain the gravity of the drainage channel according to the size parameters of the drainage channel, wherein one side of the drainage channel is a road, and the other side of the drainage channel is a road slope; The pressure distribution of the drainage channel on one side of the road slope is established according to the Coulomb active earth pressure, and the pressure distribution of the drainage channel on one side of the road slope is calculated by the drainage channel being in a force equilibrium state according to the gravity of the drainage channel and the pressure distribution of the drainage channel on one side of the road slope; The side wall thickness of the drainage channel on the side of the road is determined according to the pressure distribution of the drainage channel on the side of the road.

2. The drainage channel design method applicable to the foot of a road slope according to claim 1, characterized in that: Acquiring the size parameters of the drainage channel, and obtaining the gravity of the drainage channel according to the size parameters of the drainage channel, specifically includes: According to the actual drainage volume requirements of the project, determine the height H and width B of the drainage channel, and preset the thickness of the drainage channel bottom plate and the thickness of the two side walls based on engineering experience; The volume of the drainage channel can be obtained according to the height H and the width B of the drainage channel, as well as the thickness of the bottom plate of the preset drainage channel and the thickness of the two side walls of the drainage channel; The gravity of the drainage channel is calculated according to the volume of the drainage channel and the density of the drainage channel.

3. The drainage channel design method applicable to the foot of a road slope according to claim 2, characterized in that: The pressure distribution of the drainage channel on one side of the road slope is established based on the Coulomb active earth pressure. According to the gravity of the drainage channel and the pressure distribution of the drainage channel on one side of the road slope, the pressure distribution of the drainage channel on one side of the road is calculated by the drainage channel being in a force equilibrium state, which specifically includes: The active earth pressure E of the drainage channel on the road slope side is calculated based on Coulomb's active earth pressure. a and the active earth pressure E a The height Z of the corresponding resultant force point ay According to the active earth pressure E a The horizontal and vertical components of the active earth pressure E are obtained. ax and the vertical component of active earth pressure E ay ; Assume the soil pressure of the drainage channel on the road side as E d , the earth pressure is E d The height of the corresponding resultant force point is Z dy ; The gravity of the drainage channel is G; The drainage channel is in a state of force balance, and the following formula is obtained: E d =E ax -μ(G+E ay ) Where μ is the friction coefficient of the substrate, The soil pressure E of the drainage channel on one side of the road is calculated by the above formula: d and the height Z of the corresponding resultant force point dy .

4. The drainage channel design method applicable to the foot of a road slope according to claim 3, characterized in that: Determining the side wall thickness of the drainage channel on one side of the road according to the pressure distribution of the drainage channel on one side of the road specifically includes: According to Rankine's earth pressure theory, the active earth pressure E of the drainage channel on one side of the road is determined. da and passive earth pressure E dp And the distribution form: According to the earth pressure E d , Active earth pressure E da and passive earth pressure E dp The relationship between the two, and, according to the height Z of the point of action of the resultant force dy The relationship between the height of the resultant force action point of the critical point of the triangular distribution and trapezoidal distribution is used to determine the resultant earth pressure E. d The distribution form of According to the earth pressure force E d The distribution pattern of the drainage channel is used to determine the side wall thickness of the drainage channel on one side of the road.

5. The drainage channel design method applicable to the foot of a road slope according to claim 4, characterized in that: According to Rankine's earth pressure theory, the active earth pressure E of the drainage channel on one side of the road is determined. da and passive earth pressure E dp and distribution forms, including: The active earth pressure is distributed in a triangle and is calculated according to the following formula: In the formula, E da is the active earth pressure, γ is the natural weight of the soil, K a is the coefficient of active earth pressure, Z0 is the critical depth of active earth pressure; Active earth pressure coefficient K a Calculated according to the following formula: The critical depth Z0 of active earth pressure is calculated according to the following formula: The passive earth pressure is distributed in a trapezoidal shape and is calculated according to the following formula: In the formula, E dp is the passive earth pressure, γ is the natural weight of the soil, K p is the passive earth pressure coefficient, c is the cohesion, Passive earth pressure coefficient K p Calculated according to the following formula:

6. The drainage channel design method applicable to the foot of a road slope according to claim 5, characterized in that: According to the earth pressure E d , Active earth pressure E da and passive earth pressure E dp The relationship between the two, and, according to the height Z of the point of action of the resultant force dy The relationship between the height of the resultant force action point of the critical point of the triangular distribution and trapezoidal distribution is used to determine the resultant earth pressure E. d The distribution forms include: The earth pressure force E d The active earth pressure E calculated by Rankine earth pressure theory da and passive earth pressure E dp For comparison, when the active earth pressure E da <Earth pressure resultant force E d <Passive earth pressure E dp , earth pressure resultant force E d The distribution form should be between the triangular distribution and the trapezoidal distribution.

7. The drainage channel design method for the foot of a road slope according to claim 6, characterized in that: Based on the height Z of the point where the resultant force acts dy The relationship between the height of the resultant force action point of the critical point of the triangular distribution and trapezoidal distribution is used to determine the resultant earth pressure E. d The distribution forms include: If the height Z of the corresponding point of action of the resultant force dy When the height of the combined force point of the triangle distribution or trapezoidal distribution critical point is less than or equal to H / 3, the combined earth pressure E on that side is d The distribution form of is triangular distribution; If the height Z of the corresponding point of action of the resultant force dy When the height of the combined force point is greater than H / 3 of the critical point of the triangle or trapezoidal distribution, the combined earth pressure E on that side d The distribution form is trapezoidal distribution.

Images