CN107103168A - Foundation pit side-wall soil-baffling structure design method - Google Patents
Foundation pit side-wall soil-baffling structure design method Download PDFInfo
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Abstract
基坑侧壁挡土结构设计方法,涉及一种挡土结构设计方法。为了解决现有的挡土结构设计模型未考虑挡土结构背后土阻抗对挡土结构的有利作用及同时传入土体内预压应力的作用效果而导致挡土结构材料用量过多的问题。本发明首先计算主动土压力数值并绘图标识,确立模型简图;然后将模型简图中主动土压力P按3:1缩减的压力值镜像至锚杆弹簧支座一侧,去掉预压力后再去掉土体侧的土压力或土抗力;按分担区间汇集成集中力确定梯形线荷形心或中心点得锚杆沿竖向排距;按照去掉土体侧土压力或土抗力的模型简图确定锚杆沿竖向排距形成的锚杆预压集中力及作用位置设计锚杆预压集中力等效简图;再按竖向地基梁板设计挡土结构。本发明适用于基坑侧壁挡土结构设计。
The invention discloses a method for designing a retaining structure of a side wall of a foundation pit, relating to a method for designing a retaining structure. In order to solve the problem that the existing retaining structure design model does not consider the beneficial effect of the soil resistance behind the retaining structure on the retaining structure and the effect of the precompressed stress introduced into the soil body at the same time, resulting in the excessive amount of retaining structure materials. The present invention firstly calculates the value of active earth pressure and draws a mark to establish a simplified diagram of the model; then mirrors the pressure value of the active earth pressure P reduced by 3:1 in the simplified diagram of the model to the side of the bolt spring support, removes the pre-pressure and then Remove the soil pressure or soil resistance on the side of the soil; collect the concentrated force according to the sharing interval to determine the vertical row distance of the anchor bolts at the centroid or center point of the trapezoidal line; according to the model diagram of removing the soil side soil pressure or soil resistance Determine the anchor bolt preload concentration formed by the vertical row spacing and the action position to design the equivalent simplified diagram of the anchor preload concentration force; then design the retaining structure according to the vertical foundation beam. The invention is suitable for the soil retaining structure design of the side wall of the foundation pit.
Description
技术领域technical field
本发明涉及一种挡土结构设计方法。The invention relates to a soil retaining structure design method.
背景技术Background technique
深基坑侧壁挡土结构作为施工期间临时性用途,其材料用量太多,工时造价不少于地下基础工程。而导致这些资源多余消耗的根本原因是:未找到一个合适的设计方法。其主要问题是:在实施操作过程中暂无法考虑预压力的作用,即使采用了预应力锚杆支护,也未计入施加预压力由挡土结构传入土中应力对土楔体滑移面的有利效应,更没有定量的计算分析结果。例如:现普遍采用的锚杆挡土结构设计模型就未考虑:当锚杆端锚具对挡土结构施加预压力时,挡土结构背后土阻抗对挡土结构的有利作用及同时传入土体内预压应力,在土楔体极限平衡滑移面上产生三个应力增量即:正应力﹑剪应力﹑抗剪强度增量。由于土楔体滑移面所构成的单元体范围内水平压应力相等且均匀分布,经变换有三个应力增量共同去平衡处于主动极限平衡状态的土体自重应力增量。又可将侧向预压力视为侧限约束力,能约束土体处于主动极限平衡状态。由于挡土结构背后土阻抗及抗剪强度增量的计入,改变了现挡土结构模型简图与设计方法。The soil retaining structure on the side wall of the deep foundation pit is used temporarily during the construction period, and its material consumption is too much, and the man-hour cost is no less than that of the underground foundation project. The root cause of the redundant consumption of these resources is that a suitable design method has not been found. The main problem is that the effect of preload cannot be considered during the implementation of the operation. Even if the prestressed bolt support is used, the slippage of the soil wedge due to the stress of the applied preload transmitted from the retaining structure to the soil is not taken into account. There are no quantitative calculation and analysis results. For example, the design model of the anchor retaining structure that is commonly used does not consider: when the anchor at the end of the anchor applies preload to the retaining structure, the beneficial effect of the soil resistance behind the retaining structure on the retaining structure and the simultaneous introduction of soil The precompression stress in the body produces three stress increments on the limit equilibrium slip surface of the soil wedge: normal stress, shear stress, and shear strength increment. Since the horizontal compressive stress is equal and uniformly distributed within the unit body formed by the sliding surface of the soil wedge, there are three stress increments after transformation to balance the self-weight stress increment of the soil in the active limit equilibrium state. The lateral preload can also be regarded as a lateral constraint force, which can constrain the soil to be in an active limit equilibrium state. Due to the inclusion of the soil impedance and shear strength increment behind the retaining structure, the schematic diagram and design method of the existing retaining structure model have been changed.
发明内容Contents of the invention
本发明为了解决现有的挡土结构设计模型未考虑挡土结构背后土阻抗对挡土结构的有利作用及同时传入土体内预压应力作用而导致挡土结构材料用量过多的问题。The present invention solves the problem that the existing retaining structure design model does not consider the beneficial effect of the soil resistance behind the retaining structure on the retaining structure and the effect of precompression stress introduced into the soil body at the same time, resulting in excessive use of retaining structure materials.
基坑侧壁挡土结构设计方法,包括以下步骤:The method for designing the retaining structure of the side wall of the foundation pit includes the following steps:
步骤一、计算主动土压力数值并绘图标识,确立模型简图;在模型简图中,挡土结构的一侧为土体侧,挡土结构另一侧设有若干单向承载预压力锚杆弹簧支座和锚杆,单向承载预压力锚杆弹簧支座连接锚杆给挡土结构施加预压力Npi1;Step 1. Calculate the active earth pressure value and draw the mark, and establish the model diagram; in the model diagram, one side of the retaining structure is the soil side, and the other side of the retaining structure is equipped with a number of unidirectional bearing preloaded anchor rods Spring support and anchor rod, one-way bearing preloaded anchor rod The spring support connects the anchor rod to apply a preload Npi1 to the retaining structure;
步骤二、将模型简图中主动土压力P按3:1缩减的压力值镜像至锚杆弹簧支座一侧,去掉预压力Npi1,再去掉土体侧的土压力或土抗力,得到去掉土体侧土压力或土抗力的模型简图;Step 2: Mirror the pressure value of the active earth pressure P reduced by 3:1 in the model diagram to the side of the bolt spring support, remove the pre-pressure Npi1, and remove the earth pressure or soil resistance on the soil side to obtain the removed soil Simplified model diagram of soil pressure or soil resistance on the side of the body;
步骤三、已知锚杆所能施加的预压力量值等于模型简图梯形线荷载,按分担区间汇集成集中力Npi2;再确定梯形线荷形心或中心点,得出锚杆沿竖向排距;Step 3. Knowing that the preload value that the bolt can exert is equal to the trapezoidal line load in the model diagram, the concentrated force Npi2 is collected according to the sharing interval; and then the centroid or center point of the trapezoidal line load is determined to obtain the Row spacing;
步骤四、按照去掉土体侧土压力或土抗力的模型简图确定锚杆沿竖向排距形成的锚杆预压集中力及作用位置设计锚杆预压集中力等效简图;再按竖向地基梁板设计挡土结构。Step 4, according to the simplified model diagram of soil side soil pressure or soil resistance force removed, determine the anchor preload concentration force formed by the anchor along the vertical row distance and the action position to design the equivalent simplified diagram of the anchor preload concentration force; then press The retaining structure is designed with vertical foundation beams and slabs.
进一步地,步骤一所述的单向承载预压力锚杆弹簧支座包括支撑点、支杆和弹簧;所述的支杆的一端通过支撑点固定,支杆的另一端连接弹簧的一端,弹簧的另一端连接锚杆,由锚杆给挡土结构施加预压力。Further, the one-way load-bearing preloaded bolt spring support described in step 1 includes a support point, a support rod and a spring; one end of the support rod is fixed by the support point, and the other end of the support rod is connected to one end of the spring, and the spring The other end of the anchor rod is connected to the anchor rod, and the preload is applied to the retaining structure by the anchor rod.
本发明具有以下有益效果:The present invention has the following beneficial effects:
在地面均布荷载及土体自重作用下,深基坑侧壁挡土结构一侧土压力的分布如图1,而本发明所对应图1的另一侧锚杆支座节点有两点不同于已往采用的模型简图支座:一、土层锚杆在张拉锚定、承受荷载时伴随有预压力,在简图的弹簧支座上附有预压力Npi,作用于挡土结构。二、在预压力作用下,挡土结构向土体一侧移动,锚杆支座会跟进移动而不牵拉,在简图上表示为脱开。当在土压力作用下产生位移而连接时,又可以支承(牵拉)。这一单向支承(牵拉)、又能预压的支座称之为:单向承载预压力锚杆弹簧支座。Under the action of the uniformly distributed load on the ground and the self-weight of the soil, the distribution of earth pressure on one side of the retaining structure on the side wall of the deep foundation pit is shown in Figure 1, but the bolt support node on the other side corresponding to Figure 1 in the present invention has two differences. The support of the model sketch used in the past: 1. The anchor rod in the soil layer is accompanied by preload when it is tensioned and anchored and bears the load. The spring support in the sketch is attached with a preload Npi, which acts on the retaining structure. 2. Under the action of pre-pressure, the retaining structure moves to the side of the soil body, and the anchor rod support will follow up and move without pulling, which is shown as disengagement on the schematic diagram. When it is connected under the action of earth pressure to generate displacement, it can support (pull). This one-way support (pull), and the bearing that can preload is called again: one-way bearing preloading anchor rod spring bearing.
同时进行本发明在设计之初就考虑了,挡土结构背后土阻抗对挡土结构的有利作用、同时传入土体内预压应力,以及在土楔体极限平衡滑移面上产生三个应力增量。使得本发明在设计时弹簧支座的预压均布力为原来土体侧主动土压均布力P的三分之一,而且也是经过论证后具有理论依据的。这样使得按照本发明设计基坑侧壁挡土结构,能够在保证设计要求的挡土能力的基础上极大地节省挡土结构材料用量,就其针对锚杆用量一项,利用本发明就可以将锚杆的用量减少百分之五十以上。At the same time, the present invention has been considered at the beginning of the design, the beneficial effect of the soil resistance behind the retaining structure on the retaining structure, the precompression stress introduced into the soil body at the same time, and the generation of three stresses on the limit equilibrium slip surface of the soil wedge increment. The preload uniform force of the spring support in the design of the present invention is one-third of the original soil side active earth pressure uniform force P, and it also has a theoretical basis after demonstration. Like this makes according to the present invention design foundation pit side wall soil retaining structure, can greatly save the soil retaining structure material consumption on the basis of guaranteeing the soil retaining ability of design requirement, just it is aimed at the bolt consumption item, utilizes the present invention just can The amount of bolts is reduced by more than 50%.
附图说明Description of drawings
图1为基坑侧壁挡土模型简图;图中:1为挡土结构;2为预压力锚杆弹簧支座(单向承载);3为基坑底标高;Fig. 1 is a schematic diagram of the soil retaining model of the side wall of the foundation pit; in the figure: 1 is the soil retaining structure; 2 is the spring support of the pre-stressed anchor rod (one-way bearing); 3 is the elevation of the bottom of the foundation pit;
图2为去掉锚杆给挡土结构施加预压力后基坑侧壁挡土模型简图;Fig. 2 is a schematic diagram of the soil retaining model of the side wall of the foundation pit after the bolt is removed to apply preload to the soil retaining structure;
图3为去掉土体侧土压力或土抗力的模型简图;Fig. 3 is the model diagram of removing soil side soil pressure or soil resistance;
图4为设计锚杆预压集中力等效简图:Figure 4 is the equivalent schematic diagram of the preloaded concentrated force of the designed anchor:
图5为锚杆支座节点的示意图。Figure 5 is a schematic diagram of the anchor support node.
具体实施方式detailed description
具体实施方式一:结合图1至图4说明本实施方式,Specific Embodiment 1: This embodiment is described in conjunction with FIG. 1 to FIG. 4 ,
基坑侧壁挡土结构设计方法,包括以下步骤:The method for designing the retaining structure of the side wall of the foundation pit includes the following steps:
步骤一、计算主动土压力数值并绘图标识,确立模型简图,如图1所示;在模型简图中,挡土结构1的一侧为土体侧,挡土结构1另一侧(图1中的挡土结构左侧)设有若干单向承载预压力锚杆弹簧支座2和锚杆,单向承载预压力锚杆弹簧支座2连接锚杆,锚杆给挡土结构1施加预压力Npi1(图1中所示的Npi);注:图1主动土压力值,是当初始零预压力时的土压力分布图;Step 1, calculate the active earth pressure value and draw the mark, establish the model diagram, as shown in Figure 1; in the model diagram, one side of the soil retaining structure 1 is the soil side, and the other side of the soil retaining structure 1 (Fig. The left side of the soil retaining structure in 1) is provided with a number of unidirectional bearing preloaded anchor rod spring bearings 2 and anchor rods, and the unidirectional load bearing preloaded anchor rod spring bearings 2 are connected to the anchor rods, and the anchor rods apply pressure to the soil retaining structure 1. Prepressure Npi1 (Npi shown in Figure 1); Note: The active earth pressure value in Figure 1 is the earth pressure distribution diagram when the initial zero preload is present;
步骤二、将模型简图中主动土压力P按3:1缩减的压力值镜像至锚杆弹簧支座一侧,去掉预压力Npi1,如图2所示,再去掉土体侧(挡土结构右侧)的土压力或土抗力,得到去掉土体侧土压力或土抗力的模型简图,如图3所示,Step 2: Mirror the pressure value of active earth pressure P reduced by 3:1 in the model diagram to the side of the bolt spring support, remove the pre-pressure Npi1, as shown in Figure 2, and then remove the soil side (retaining structure The earth pressure or soil resistance on the right side), and the simplified model diagram of the soil side soil pressure or soil resistance is obtained, as shown in Figure 3.
步骤三、已知锚杆所能施加的预压力量值等于图3所示的模型简图梯形线荷载,按分担区间汇集成集中力Npi2(图4中所示的Npi);再确定梯形线荷形心或中心点,得出锚杆沿竖向排距;Step 3. It is known that the preload value that can be applied by the bolt is equal to the trapezoidal line load of the model diagram shown in Figure 3, and the concentrated force Npi2 (Npi shown in Figure 4) is collected according to the sharing interval; and then the trapezoidal line is determined The centroid or center point of the load can be used to obtain the vertical row distance of the bolt;
步骤四、按照去掉土体侧土压力或土抗力的模型简图3确定锚杆沿竖向排距形成的锚杆预压集中力及作用位置设计锚杆预压集中力等效简图,如简图4所示;再按竖向地基梁板设计挡土结构。Step 4. According to the model diagram 3 with the side soil pressure or soil resistance removed, determine the anchor preload concentration formed by the anchor along the vertical row distance and the action position to design the equivalent simplified diagram of the anchor preload concentration, as shown in As shown in Figure 4; then design the retaining structure according to the vertical foundation beam slab.
步骤一所述的单向承载预压力锚杆弹簧支座2包括支撑点2-1、支杆2-2和弹簧2-3;所述的支杆2-2的一端通过支撑点2-1固定,支杆2-2的另一端连接弹簧2-3的一端,弹簧2-3的另一端连接锚杆,由锚杆给挡土结构1施加预压力,当挡土结构1向土体侧移动时,锚杆不牵拉承载,当挡土结构1向支座一侧移动时,锚杆则牵拉承载,称为单向承载。The one-way load-bearing preload anchor rod spring support 2 described in step 1 includes a support point 2-1, a support rod 2-2 and a spring 2-3; one end of the support rod 2-2 passes through the support point 2-1 Fixed, the other end of the support rod 2-2 is connected to one end of the spring 2-3, and the other end of the spring 2-3 is connected to the anchor rod, and the anchor rod applies preload to the soil retaining structure 1, when the soil retaining structure 1 is facing the soil side When moving, the anchor rod does not pull the load. When the retaining structure 1 moves to the side of the support, the anchor rod pulls the load, which is called one-way load.
对本发明所述设计方法论证:Demonstration to the design method of the present invention:
1、由土工试验得库仑抗剪强度包线与莫尔应力圆切点几何关系τ=τf;可写出土体极限平衡状态下应力式(1),(2):1. From the geotechnical test, the geometric relationship between the envelope of Coulomb shear strength and the tangent point of the Mohr stress circle is τ= τf ; the stress formula (1) and (2) under the limit equilibrium state of the soil can be written:
联立式(1),(2)可导出式:Simultaneous formula (1), (2) can be derived:
在极限平衡状态条件下,土体抗剪强度与主应力关系式为线性函数,微分与增量有:Under the condition of limit equilibrium state, the relationship between soil shear strength and principal stress is a linear function, and the differential and increment are:
dτf=Δτf;dσ=Δσ (5)dτ f = Δτ f ; dσ = Δσ (5)
式(3),(4)由式(5a)分别对σ1,σ3求导微分得增量式:Formulas (3), (4) are derived and differentiated from formula (5a) to σ 1 and σ 3 respectively to obtain the incremental formula:
式(6),(7)可按大小主压应力增量写成分量形式。Equations (6) and (7) can be written in component form according to the principal compressive stress increment.
2、土体极限平衡面的水平夹角及法向应力公式:2. The horizontal angle and normal stress formula of the limit equilibrium surface of the soil mass:
由式(8),(9)得式:From formula (8), (9) get formula:
3、设基坑侧壁土体受水平压应力增量Δσ3;3. Assume that the soil on the side wall of the foundation pit is subjected to a horizontal compressive stress increment Δσ 3 ;
由式(10)得:From formula (10):
式(11)对τf求导:Equation (11) is derived for τ f :
写微分得增量的分量式,由式:Δτf=Δτf1=Δτf3得:Write the component formula of differential to get increment, from the formula: Δτ f = Δτ f1 = Δτ f3 :
由式(7),(13)得关系式: From formula (7), (13) get relational formula:
由公式:得:By the formula: have to:
已有:Already have:
式(11),(14)对σ3求导:Equations (11), (14) are derived for σ 3 :
写微分得增量的分量式Write the fractional expression of the differential to get the increment
式(13a),(16)合矢量增量效应得:Equation (13a), (16) and vector increment effect get:
Δσ1=Δσ1τ+Δσ13=3·Δσ13 Δσ 1 = Δσ 1τ + Δσ 13 = 3·Δσ 13
设:Δσ1=σ1;σ3=p;由式(17)得: Suppose: Δσ 1 =σ 1 ; σ 3 =p; from formula (17):
P:土压力;q:地面均布荷载;σ3:小主压应力;σ1:大主压应力。P: earth pressure; q: uniform ground load; σ 3 : small principal compressive stress; σ 1 : large principal compressive stress.
Δσ1:土体单元垂直向压应力增量(大主压应力增量);Δσ 1 : vertical compressive stress increment of soil unit (large principal compressive stress increment);
Δσ3:土体单元水平向压应力增量(小主压应力增量);Δσ 3 : horizontal compressive stress increment of soil unit (small principal compressive stress increment);
Δτf:土楔体极限平衡面上抗剪强度增量;Δτ f : shear strength increment on the limit equilibrium plane of the soil wedge;
在地面均布荷载及土体自重作用下,深基坑侧壁挡土结构一侧土压力的分布如图1,而图1的另一侧锚杆支座节点2的示意详图如图5所示,锚杆支座节点有两点不同于已往采用的模型简图支座:一、土层锚杆在张拉锚定、承受荷载时伴随有预压力,在简图的弹簧支座上附有预压力Npi,作用于挡土结构。二、在预压力作用下,挡土结构向土体一侧移动,锚杆支座会跟进移动而不牵拉,在简图上表示为脱开。当在土压力作用下产生位移而连接时,又可以支承(牵拉)。这一单向支承(牵拉)、又能预压的支座称之为:单向承载预压力锚杆弹簧支座。Under the action of uniform ground load and soil self-weight, the distribution of earth pressure on one side of the retaining structure on the side wall of the deep foundation pit is shown in Figure 1, and the schematic and detailed diagram of the anchor support node 2 on the other side of Figure 1 is shown in Figure 5 As shown, there are two points different from the support of the model sketch used in the past in two points: 1. The anchor in the soil layer is accompanied by preload when it is tensioned and anchored and bears the load. On the spring support of the sketch Attached with preload Npi, acting on the retaining structure. 2. Under the action of pre-pressure, the retaining structure moves to the side of the soil body, and the anchor rod support will follow up and move without pulling, which is shown as disengagement on the schematic diagram. When it is connected under the action of earth pressure to generate displacement, it can support (pull). This one-way support (pull), and the bearing that can preload is called again: one-way bearing preloading anchor rod spring bearing.
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US4682914A (en) * | 1985-12-23 | 1987-07-28 | Isamu Aihara | Hydraulic trench support |
CN102839673A (en) * | 2012-09-19 | 2012-12-26 | 白福波 | Design method of side wall depth of foundation pit |
CN104452770A (en) * | 2013-04-03 | 2015-03-25 | 哈尔滨工业大学 | Method for determining internal force of soil body through geotechnical constitutive broken line segment stiffness |
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