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1.
Modulus of subgrade reaction is one of the required design parameters in any structural analyses of shallow foundations. However, the constant values of modulus of subgrade reaction that are determined from either from literature studies or the results of plate load tests, regardless of magnitude of soil’s displacement under design loads, have been used in structural designs of foundations. In this study, the results of 43 published full-scale field plate load tests in cohesionles soils were gathered to expose any variation in the values of modulus of subgrade reaction as soil’s displacement increases. Extensive finite element (FE) analyses were carried out while the results of FE analyses were compared with actual measured results of field load tests. The results of analyses indicated that both the modulus of subgrade reaction decrease with increase in magnitude of displacement of soils and internal forces of a design of structural frame is higher with the values of modulus of subgrade reaction that are sensitive to soil’s displacement are implemented into analyses. Therefore, structural dimensions of any structure with the constant values of modulus of subgrade reaction would not be a precise engineering solution.  相似文献   

2.
在较大外荷载下,搁置在地基上的Bernoulli—Euler梁下部的土体会发生塑性变形。在使用有限差分法离散了文克勒地基梁(Winkler)的控制方程后,形成了线性代数方程组,然后调用计算机Fortran程序进行了求解。利用p-s曲线,通过迭代,使用有限差分法求解了考虑土体塑性的变基床系数的Winkler地基梁的位移。计算结果表明:通过p-s曲线和变基床系数的Winkler地基梁模型,可近似分析出地基在外荷载作用下是进入弹性阶段还是弹塑性阶段,并给出较为合适的地基沉降值。最后,讨论了算法的应用范围。  相似文献   

3.
One of the main soil parameters in analysis and design of foundations is modulus of subgrade reaction (MSR) which is a stochastic process. However, design engineers prefer a deterministic approach invoking mean of MSR and rather empirical factors of safety to account for the uncertainty. The present study includes the stochasticity in the deterministic designs by linking the factors of safety (in respect of maximum deflection and bending moment) to the allowable risk of failure through a Monte Carlo simulation on a lumped parameter deterministic model. A parametric study reveals that for a given risk level, the factors of safety are strongly dependent upon the coefficient of variation of MSR, and only mildly upon other geometric parameters of foundation system. This facilitates development of closed form equations for the upper bounds on factors of safety exclusively in terms of allowable risk of failure and the coefficient of variation of MSR.  相似文献   

4.
艾智勇  吴全龙 《岩土力学》2015,36(5):1347-1351
对横观各向同性地基上刚性矩形板进行了求解。首先,利用表面受矩形均布荷载作用下的层状横观各向同性地基的位移解答,获得地基的柔度矩阵;然后,通过刚性矩形基础与层状横观各向同性地基的协调条件,建立刚性矩形基础与横观各向同性地基共同作用的方程,进而求得基础的地基反力。通过编制相应的程序,确定了合理的网格划分值;最后,进行算例分析,分析了地基横观各向同性性质、矩形刚性基础的长宽比以及地基分层性对地基反力的影响。分析表明:以上3种因素对地基反力有重要影响。  相似文献   

5.
土基模量随季节变化规律及其数值的确定   总被引:1,自引:0,他引:1  
土基回弹模量作为路面设计的重要力学参数,在我国路面设计方法中选取最不利季节的土基回弹模量值作为土基的设计强度,没有考虑一年中含水量变化对土基强度的影响,本文通过分析土基回弹模量随季节含水量的变化规律,借鉴AASHTO设计方法中不同季节模量对路面造成的相对损伤思想,推导出等效回弹模量计算公式uf=0.95107E-5d,提出用等效土基回弹模量值代替最不利季节模量值作为土基强度设计值,不仅能够提高土基自身的抗变形能力,还可以很有效的提高沥青路面结构的整体设计强度。  相似文献   

6.
The present study comprises Monte-Carlo simulation assisted analysis of foundations resting on reinforced earth beds using the concept of beams on an elastic foundation, treating the modulus of subgrade reaction (MSR) as a stationary stochastic field characterised by mean, variance, autocorrelation function (ACF) and the autocorrelation distance (ACD). Realisations of the MSR, generated by solving a stochastic differential equation, are fed to a deterministic distributed parameter model to generate realisations of two dependent stochastic fields, namely deflection and bending moment in the foundation beam, and two random variables, namely the location of occurrence of maximum deflection and the bending moment. Subsequently these realisations are analysed to evolve probability distribution functions, variance and ACF of the dependent stochastic fields and the random variables. It is revealed that the ACF of these fields is independent of the ACF of the MSR. Further, variance of deflection is found to increase as the ACD of the MSR increases, implying requirement of a larger factor of safety when random soils display low frequency (macro level) variations. On the other hand, variance of the bending moment is larger at smaller ACDs of the MSR, indicating that for bending moments a larger factor of safety is required when the random soils display high frequency (micro level) variations.  相似文献   

7.
周凤玺  曹永春  赵王刚 《岩土力学》2015,36(7):2027-2033
基于线弹性动力学理论,结合坐标变换,建立了移动荷载作用下非均匀弹性半平面地基的动力控制方程,利用半解析法研究了移动荷载作用下二维非均匀地基的动力响应问题。采用傅里叶(Fourier)级数展开,假设了响应函数的级数形式,通过理论推导获得了剪切模量随深度任意变化的非均匀地基在移动荷载作用下各物理量的解析表达式。考虑土体的剪切模量沿厚度方向按幂函数梯度变化,通过数值算例分析并讨论了地基非均匀参数、荷载移动速度以及地基表面的剪切模量等对地基力学响应的影响规律,并与均质地基的计算结果进行了比较。数值结果表明:地基中各点的竖向位移随着土体表面剪切模量和表征土体非均匀性的梯度因子的增大而减小,随着荷载移动速度的增大而增大。在移动荷载作用下,非均匀地基与均匀地基的动力响应有着显著的区别。  相似文献   

8.
In pavement evaluation using non-destructive testing (NDT), a large amount of deflection bowls are analysed in terms of the elastic moduli of the layers. The results are used to evaluate the material variability, which could serve in an overlay design procedure based on the concept of reliability. The model currently used for interpreting deflection bowls is based on the random variable theory which neglects the spatial distribution of the elastic modulus of the material. Since the subgrade and pavement materials have a spatial distribution, the analysis of NDT could lead to an underestimate of the material variability. The random field theory, which is more adequate than the random variable theory, is presented and used to correct the NDT analysis. The pavement is modelled as a multilayer random elastic medium with, for each layer, a constant Poisson's ratio and a random shear modulus characterized by three statistical moments: average value, standard deviation and autocorrelation function. The stochastic integral formulation presented in the previous publications is generalized here for a multilayer system. The multilayer system is analysed with the random field theory and the covariance matrix of the deflection bowl is obtained and used to generate deflection bowls corresponding to the properties of the random field. These bowls are then interpreted with the current procedure and elastic modulus variabilities are computed. It is found that the current procedure for interpreting deflection bowls underestimates the variability of the subgrade, by a factor of 0.4–1.0. It is interesting to note that the average moduli of the Boussinesq layer and of the two layers are not affected by the type of theory used. The variability of the upper layer in the two-layer system is also unaffected for a small variation range.  相似文献   

9.
温度-湿度-荷载综合作用下路基冻融过程试验研究   总被引:5,自引:3,他引:2  
为了研究季节冻土路基内部温度场、水分场及应力场综合效应的变化特性,基于自主研发的温度-湿度-荷载综合模型试验测试系统,进行室内路基模型的冻结与融化循环试验,分析了冻融循环过程路基内部土体水、热及力学性能的变化特性.试验表明:冻结过程中,初期温度变化大,温度梯度从顶端向底部逐渐递减;路基顶冻结后,0℃冻结锋面不断往下移动,0℃分界线两段内温度梯度差异大;路基含水率分为冻结区未冻水含量似稳定段、过渡区未冻水快速相变段、未冻结区含水率减小段.融化过程中,温度变化先大后小,未冻结水含量与温度大小相关,路基内部含水量呈现中间增大,两端减小的情形.水热综合作用下,应力场表现:冻融过程中,路基回弹模量随着冻结深度的增大呈线性增加,随融化深度的增加而减小;路基回弹模量随冻融循环次数增加而衰减,当达到6次时,衰减趋于稳定.结果表明,土体水热耦合作用是影响路基土体力学性能的关键因素.  相似文献   

10.
弹性矩型板与非线性地基共同作用的简化计算法   总被引:10,自引:1,他引:9  
提出一种考虑地基非线性特性的地基模型,并把它应用到弹性板基础与非线性地基共同作用的分析中。计算结果表明,考虑地基非线性特性时,地基反力及弹性板基础的受力大为改善且结果更接近于实际  相似文献   

11.
纵横向受荷基桩变形内力的矩阵传递解   总被引:1,自引:0,他引:1  
竺明星  龚维明  何小元  徐国平 《岩土力学》2014,35(11):3281-3288
针对地基的土体屈服性状,将桩侧土体分为弹性变形区域与塑性变形区域两种情况。假定地基反力系数为3参数的一般形式,同时考虑桩身 效应并计入桩身自重、桩侧摩阻力的影响,根据地基反力法分别建立桩身弹性段和塑性段挠曲线微分方程。在解微分方程的过程中,采用矩阵传递法结合Laplace正逆变换的方法解得桩顶作用轴向力、水平力、弯矩时桩身内力和变形的矩阵传递解,并用Fortran语言编制了相应计算程序。最后将试验数据对上述方法进行验证,结果表明计算值与模型试验的实测值吻合很好,采用文中3参数地基反力法反算所得的地基参数离散性很小,研究结果具有较高的应用价值。  相似文献   

12.
Flexural response of piles under liquefied soil conditions   总被引:1,自引:1,他引:1  
The paper pertains to the development of a generalized procedure to analyze and predict the flexural behavior of axially and laterally loaded pile foundations under liquefied soil conditions. Pseudo-static analysis has been carried out taking into consideration the combined effect of axial load and lateral load. Based on the available literature effect of degradation on the modulus of subgrade reaction due to soil liquefaction has been incorporated in the analysis. The developed program was calibrated and validated by comparing the predicted behavior of the pile with theoretical and experimental results reported in literature. The predicted behavior has been found to be in excellent to very good agreement with the theoretical and observed values in the field, respectively. The present study highlights the importance of considering the axial load from the superstructure along with the inertia forces from the superstructure and the kinematic forces from the liquefied soil in the design of pile foundations in liquefiable areas. The significance of densification of the soil in the liquefiable areas and presence of an adequate top non-liquefied soil cover causing appreciable reduction in deflection and bending moment experienced by the piles has been highlighted.  相似文献   

13.
刘钢  罗强  张良  陈虎  陈坚 《岩土力学》2014,35(6):1687-1694
合理高效地进行路基填土压实质量检测对保证工程质量、提高施工效率具有重要意义。通过在室内开展精细的地基系数K30与变形模量Ev2、Ev1试验,对比分析了两种小型平板载荷试验的特点,重点讨论了变形稳定和等时间隔两种加载方式对试验效率和试验误差的影响规律,得到以下结论:K30较Ev2更能直接反映路基的压密程度,每级荷载的保持时间对试验结果有显著影响,满足1%沉降稳定控制标准需较长的试验历时;K30试验的沉降稳定控制标准由1%改为2%、或加载时间间隔为6 min,可缩短30%~50%试验时间,K30值误差在10%以内;提出了K30试验加载的荷载-时间控制法(P-t法),用于铁路路基砾石类填料压实质量的K30检测具有良好适应性。  相似文献   

14.
基于Melan解的水平基床系数分析方法及工程运用   总被引:3,自引:1,他引:2  
弹性地基法具有概念清晰、过程简单等优点在深基坑设计中广为运用,合理选择土体水平基床系数是弹性地基法的关键因素。以往地基水平基床系数多依靠于经验取值,一些学者也曾经尝试采用mindlin解等一些经典的弹性解来确定地基水平基床系数,但在参数的取值以及边界条件的确定方面均存在问题。根据反对称问题的特点,很好地解决了基坑开挖后的边界条件问题,使之符合弹性半空间理论,同时采用考虑应力状态和应力水平的土体参数,使得参数的选取更加符合实际情况。结合理论分析结果与应力路径试验结果,得到了与模量相关的水平基床系数计算方法。将计算得到的水平基床系数运用到杭州市地铁一号线试验段深基坑开挖工程中,并与实测结果进行比较,验证了计算方法的正确性,为杭州地铁后期设计计算、开挖施工提供了理论依据。该方法与传统弹性地基法相比,水平基床系数的取值有明确的计算方法,与连续介质有限元法相比,参数简单、计算简便、概念明确。  相似文献   

15.
提出一种多向荷载作用下层状地基中刚性桩筏基础的计算方法。基于剪切位移法,采用传递矩阵形式分析了竖向荷载下桩顶面-桩顶面相互作用;引入修正桩侧地基模量,采用有限差分法分析了水平荷载下桩顶面-桩顶面相互作用;基于层状弹性半空间理论,分析了多向荷载下桩顶面-土表面、土表面-桩顶面、土表面-土表面的相互作用关系。建立了桩土体系柔度矩阵,得到了多向荷载下层状地基中刚性桩筏基础的受力和变形的关系以及桩的内力和变形沿桩身分布规律。通过与有限元对比,验证了该方法的合理性和修正地基模量的优越性,并对多向荷载作用下的桩筏基础进行了计算分析,计算结果表明,水平力将会引起桩筏基础的倾斜。  相似文献   

16.
为探讨桩侧地基土反力对高承台嵌岩灌注桩桩身屈曲稳定的影响,假定地基反力系数呈更为复杂的幂分布,基于弹性地基梁理论建立桩土体系总势能方程,采用最小势能原理,导出了桩身屈曲临界荷载与稳定计算长度的解析解,并据此获得了地基反力系数分布模式、桩身自重及桩侧摩阻力等对桩身屈曲稳定的影响规律。工程应用分析结果表明,考虑地基反力系数为一般幂分布时,桩身屈曲分析结果更趋合理。  相似文献   

17.
An analytical solution for the deflection and internal forces of an existing tunnel because of tunneling underneath is presented. The existing tunnel is modeled as a Timoshenko beam resting on a Winkler foundation, which takes into account the contribution of shear deformation to the total deflection of the existing tunnel. The validity of the analytical solution is verified by a centrifuge test, and the merit of this analytical method is confirmed by comparison with the conventional Euler–Bernoulli beam model. Influential factors on the behavior of the existing tunnel are investigated by consideration of the variations of subgrade modulus, ground loss induced by the new tunnel construction, vertical clearance between the new tunnel and the existing tunnel, and relative existing tunnel–soil stiffness. Results show that the proposed analytical method is a valid and effective method to evaluate shearing‐induced deformation in existing tunnels with large diameters. Results also show that the pattern and the amplitude of the response of the existing tunnel are affected largely by ground loss induced by the new tunnel construction, vertical clearance between the new tunnel and the existing tunnel, and relative existing tunnel–soil stiffness. Copyright © 2015 John Wiley & Sons, Ltd.  相似文献   

18.
In this paper, a method is developed for nonlinear analysis of laterally loaded rigid piles in cohesionless soil. The method assumes that both the ultimate soil resistance and the modulus of horizontal subgrade reaction increase linearly with depth. By considering the force and moment equilibrium, the system equations are derived for a rigid pile under a lateral eccentric load. An iteration scheme containing three main steps is then proposed to solve the system equations to obtain the response of the pile. To determine the ultimate soil resistance and the modulus of horizontal subgrade reaction required in the analysis, related expressions are selected by reviewing and assessing the existing methods. The degradation of the modulus of horizontal subgrade reaction with pile displacement at ground surface is also considered. The developed method is validated by comparing its results with those of centrifugal tests and three-dimensional finite element analysis. Applications of the developed method to laboratory model and field test piles also show good agreement between the predictions and the experimental results.  相似文献   

19.
One of the key problems in the implementation of Winkler models to analyze tunnelling effects on existing pipelines lies in the assessment of subgrade modulus under external soil displacement. In this paper, an expression of the Winkler subgrade modulus for a pipeline buried at arbitrary depth and subjected to free soil displacement with arbitrary curve shape is given. Using superposition principle and the Fourier integral, the subgrade modulus of an infinite beam resting on the surface of an elastic half space and buried infinitely are obtained respectively. Then the influence of embedment depth is estimated based on Mindlin and Kelvin solution. The validity of the proposed subgrade modulus is verified by comparison with the results from an elastic continuum solution and two centrifuge model tests for the responses of buried pipeline due to nearby tunnelling. Thereafter, parametric studies are shown to assess the accuracy of the proposed subgrade modulus by comparing with an elastic continuum solution in homogeneous and non-homogeneous soil stratum and the amount of error is estimated.  相似文献   

20.
冻融循环作用下路基土回弹模量试验研究   总被引:7,自引:4,他引:3  
为研究季节冻土地区冻融循环作用对路基土回弹模量的影响,以2种路基土作为研究对象,通过风干和加湿的方法,使高50mm、直径为50mm无侧限圆柱体试件达到5种预期含水率;采用承载板法进行回弹模量试验,分析了路基土在0~12次冻融循环作用下,回弹模量随冻融循环次数变化的规律.结果表明:随着冻融循环次数的增加,土体的回弹模量减小,到第6次冻融循环后土体回弹模量衰减基本稳定.在进行季节冻土地区路面设计时,应考虑冻融循环作用对路基土的影响,建议选取第6次冻融循环后的土体回弹模量作为路基强度设计值.  相似文献   

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