k_0≠1时条形荷载下地基承载力解析计算
|
摘要
在考虑侧向土压力系数k_0≠1的情况下,根据均布荷载作用下弹性应力解和摩尔-库伦破坏准则,推导出条形荷载下地基承载力的精确公式,修正了现有的地基承载力公式的不足之处。解析过程表明当M点处于基础中心点竖直方向以下时,地基中塑性区开展到最大深度。同时,将该公式的计算结果与现有公式的计算结果进行了对比,证明了该公式的精确性。在此基础上,讨论了侧向土压力系数对于地基承载力的影响。
With the consideration of the coefficient of horizontal pressure k_0 ≠1,the precise fomulaof bearing capacity of the foundation under the strip load was deduced based on the elastic stress solution and the Mohr-Coulomb failure criterion under the uniform load.The newly developed formula modified the shortcomings of the existing formulasfor the bearing capacity of the foundation with coefficient of horizontal pressure k_0 ≠1.The analytical process showed that when the M point was below the vertical center of the foundation,the plastic zone of the foundation was extended to the maximum depth.Meanwhile,the calculation results of the formulas were compared with the calculation results of the existing formula,which proved the accuracy of the formula.In addition,the effects of lateral earth pressure coefficient on the bearing capacity of foundation were also discussed.
With the consideration of the coefficient of horizontal pressure k_0 ≠1,the precise fomulaof bearing capacity of the foundation under the strip load was deduced based on the elastic stress solution and the Mohr-Coulomb failure criterion under the uniform load.The newly developed formula modified the shortcomings of the existing formulasfor the bearing capacity of the foundation with coefficient of horizontal pressure k_0 ≠1.The analytical process showed that when the M point was below the vertical center of the foundation,the plastic zone of the foundation was extended to the maximum depth.Meanwhile,the calculation results of the formulas were compared with the calculation results of the existing formula,which proved the accuracy of the formula.In addition,the effects of lateral earth pressure coefficient on the bearing capacity of foundation were also discussed.
引文
[1]梅岭,梅国雄,易宗发.k0≠1时的地基临塑荷载和临界荷载近似计算公式[J].计算力学学报,2010,27(6):1090-1095.MEI Ling,MEI Guoxiong,YI Zongfa.The approximate formula about critical plastic load and critical load of foundation withk0≠1[J].Chinese Journal of Computational Mechanics,2010,27(6):1090-1095.(in Chinese)
[2]赵树德.地基弹塑性承载力k0≠1时的计算公式[J].西安建筑科技大学学报,1995,27(3):294-298.ZHAO Shude.The formula about elastoplastic bearing capacity of foundation withk0≠1[J].Journal of Xi’an University of Architecture and Technology,1995,27(3):294-298.(in Chinese)
[3]崔江余,宋金峰.地基临塑荷载的分析[J].工程力学,1998,15(4):96-100.CUI Jiangyu,SONG Jinfeng.The analysis about plastic load of foundation[J].Engineering Mechanics,1998,15(4):96-100.(in Chinese)
[4]杨红霞,赵峥嵘.土质学与土力学[M].北京:机械工业出版社,2015:98-222.YANG Hongxia,ZHAO Zhengrong.Soil mechanics and soil science[M].Beijing:China Machine Press,2015:98-222.(in Chinese)
[5]高大钊,袁聚云.土质学与土力学[M].3版.北京:中国建筑工业出版社,2001:73-77.GAO Dazhao,YUAN Juyun.Soil mechanics and soil science[M].3rd ed.Beijing:China Architecture and Building Press,2001:73-77.(in Chinese)
[6]顾晓鲁,钱鸿缙,刘惠姗,等.地基与基础[M].3版.北京:中国建筑工业出版社,2003:108-127.GU Xiaolu,QIAN Hongjin,LIU Huishan,et al.Subsoil and foundation[M].3rd ed.Beijing:China Architecture and Building Press,2003:108-127.(in Chinese)
[7]CRAIG R F.Soil mechanics[M].England:Chapman&Hall,1995:277-310.
[8]徐芝伦.弹性力学[M].4版.北京:中国建筑工业出版社,2006:12-14.XU Zhilun.Elastic mechanics[M].4th ed.Beijing:China Architecture and Building Press,2006:12-14.(in Chinese)
[9]强跃,赵明,林军志,等.静止土压力系数探究[J].岩土力学,2013,34(3):727-730.QIANG Yue,ZHAO Ming,LIN Junzhi,et al.The study of earth pressure coefficient at rest[J].Rock and Soil Mechanics,2013,34(3):727-730.(in Chinese)
[2]赵树德.地基弹塑性承载力k0≠1时的计算公式[J].西安建筑科技大学学报,1995,27(3):294-298.ZHAO Shude.The formula about elastoplastic bearing capacity of foundation withk0≠1[J].Journal of Xi’an University of Architecture and Technology,1995,27(3):294-298.(in Chinese)
[3]崔江余,宋金峰.地基临塑荷载的分析[J].工程力学,1998,15(4):96-100.CUI Jiangyu,SONG Jinfeng.The analysis about plastic load of foundation[J].Engineering Mechanics,1998,15(4):96-100.(in Chinese)
[4]杨红霞,赵峥嵘.土质学与土力学[M].北京:机械工业出版社,2015:98-222.YANG Hongxia,ZHAO Zhengrong.Soil mechanics and soil science[M].Beijing:China Machine Press,2015:98-222.(in Chinese)
[5]高大钊,袁聚云.土质学与土力学[M].3版.北京:中国建筑工业出版社,2001:73-77.GAO Dazhao,YUAN Juyun.Soil mechanics and soil science[M].3rd ed.Beijing:China Architecture and Building Press,2001:73-77.(in Chinese)
[6]顾晓鲁,钱鸿缙,刘惠姗,等.地基与基础[M].3版.北京:中国建筑工业出版社,2003:108-127.GU Xiaolu,QIAN Hongjin,LIU Huishan,et al.Subsoil and foundation[M].3rd ed.Beijing:China Architecture and Building Press,2003:108-127.(in Chinese)
[7]CRAIG R F.Soil mechanics[M].England:Chapman&Hall,1995:277-310.
[8]徐芝伦.弹性力学[M].4版.北京:中国建筑工业出版社,2006:12-14.XU Zhilun.Elastic mechanics[M].4th ed.Beijing:China Architecture and Building Press,2006:12-14.(in Chinese)
[9]强跃,赵明,林军志,等.静止土压力系数探究[J].岩土力学,2013,34(3):727-730.QIANG Yue,ZHAO Ming,LIN Junzhi,et al.The study of earth pressure coefficient at rest[J].Rock and Soil Mechanics,2013,34(3):727-730.(in Chinese)