Mindlin 位移解下大直径桩基有效桩长的优化计算方法
On Optimization Calculation Method of Effective Length for Large Diameter Pile Based on Mindlin′s Solution
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摘要: 大直径灌注桩存在有效桩长，其计算公式与所假设的桩侧阻力分布形式有关，针对不同的桩侧阻力分布形式，有效桩长的计算结果往往差别较大。基于M indlin位移解的基本原理和考虑桩径的影响，确定桩侧摩阻力呈抛物线形分布时所得的有效桩长优化计算方法，并根据计算结果对其影响因素进行分析；最后，结合工程实例对推导公式进行验证。结果表明：土体泊松比和桩径变化均对有效桩长造成影响，而桩径对有效桩长的影响更显著。桩径一定时，土体泊松比对有效桩长的影响随着 E／G的增大而减弱，土体泊松比一定时，桩径对有效桩长的影响随着E／G的增大而加强。因此，该假设下考虑桩径影响而优化的有效桩长计算结果更接近于工程实际，合理可行。Abstract: The calculation of a large diameter bored pile′s effective length is connected with its distribution of pile shaft resistance .According to different forms of pile side resistance distribution ,effective pile length calculation results often change to a large extent .Based on Mindlin′s displacement solution and in consideration of the effect of pile diameter ,the calculation equation is optimized with the assumption that the pile shaft resistance has a parabolic distribution .The influencing factors ,in accordance with the calcu-lation result of effective pile length ,have been analyzed .Finally ,the equation has been deduced in this pa-per ,combined with an engineering example ,has been analyzed and verified .The result shows that the Poisson Ratio of soil and pile diameter both impact the effective pile length .Compared with the Poisson Ratio of soil ,the effect of pile diameter is more significant .If the pile diameter remains the same ,the effect of the Poisson Ratio of soil to the effective pile length decreases as E/G power of the ratio of pile e-lastic modulus and soil share modulus increases .If the Poisson Ratio of soil remains the same ,the effect of the pile diameter to the effective pile length increases as E/G power of the ratio of pile elastic modulus and soil share modulus increases .Thus the optimized calculation result of pile effective length under the con-sideration of the effect of pile diameter is more close to the actual situation of engineering and reasonably practicable .
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