基于三剪应力统一强度理论的条形地基承载力计算  

Calculation for bearing capacity of the strip foundation based on three-shear unified strength theory

作　　者：纪加强 曹雪叶 兰永强 JI Jiaqiang;CAO Xueye;LAN Yongqiang(Infrastructure Department,Yan’an University;School of Civil Engineering,Yan’an University,Yan’an 716000,China)

机构地区：[1]延安大学基本建设处 [2]延安大学建筑工程学院,陕西延安716000

出　　处：《延安大学学报（自然科学版）》2023年第1期57-62,共6页Journal of Yan'an University：Natural Science Edition

基　　金：陕西省教育厅科研计划项目(21JK0977);延安大学博士科研启动基金项目(YDBK2018-01);延安大学大学生创新创业训练计划项目(D2022105)。

摘　　要：基于三剪应力统一强度理论,推导得到条形地基考虑侧向压力系数不为1、中间主剪应力及最小主剪应力影响时,地基临塑荷载和临界荷载精确理论计算公式,并对公式进行了退化分析,探讨了中间主剪应力影响系数b、最小主剪应力影响系数c和侧向压力系数k 0对条形地基临塑荷载和临界荷载的影响规律。研究结果表明,临塑荷载和临界荷载随b、c的增大均非线性增大且增大的幅度逐渐减小,随k的减小而减小;Mohr-Coulomb理论解和双剪统一强度理论解均为三剪应力统一强度理论解的特例,三剪应力统一强度理论解考虑了地基土的真实侧向压力系数、中间主剪应力及最小主剪应力的影响,具有较广泛的适用性,可为实际工程提供一定的理论参考。Based on the three-shear unified strength theory,the accurate theoretical calculation formulas of critical edge load and critical load of the strip foundation are derived with the consideration of the lateral pressure coef⁃ficient k 0≠1,the intermediate principal shear stress and the minimum principal shear stress.The formulas are degraded,and the influences of the intermediate principal shear stress coefficient b,the minimum principal shear stress coefficient c and the lateral pressure coefficient k 0 on the critical edge load and critical load of the strip foundation are discussed.The results show that the critical edge load and critical load both nonlinearly increase with the increase of b and c,the increase of amplitude decreases gradually with the decrease of k 0.The Mohr-Coulomb solutions and the twin-shear unified strength solutions are special cases of three-shear unified strength solutions.The three-shear unified strength solutions considering the real lateral pressure coefficient,the intermedi⁃ate principal shear stress and the minimum principal shear stress,can have a wide range of applications and provide certain theoretical reference for practical engineering.

关 键 词：条形地基 三剪应力统一强度理论 临塑荷载 临界荷载 

分 类 号：TU471.12[建筑科学—结构工程]