Reply to "Mechanical concept errors in anti-sliding stability computational model of vector sum method"
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图 1 矢量和法安全系数公式中定义的矢量
Figure 1. Sketch of the vector of the safety factor in the vector sum method
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图 5 矢量和法与M-P法结果相对误差
Figure 5. Relative error of safety factors between the vector sum method and the limit equilibrium M-P method
表 1 标准考题EX1C安全系数计算结果汇总表
Table 1 The calculating results of the slope example EX1C
计算方法 安全系数 下滑方向/(°) 极限平衡法 推荐裁判答案Donald 1.3900 — SSA(Baker) 1.3900 — STAB(陈祖煜) 1.3850 — EMU 1.3900 — Fredlund 1.4060 — 平均值 1.3922 孙建生法 孙建生 1.4311 45.533 本文方法 矢量和法 1.3939 23.1938 
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[1] 孙建生. "矢量和法"抗滑稳定计算模型的力学概念错误[J]. 岩土工程学报, 2021, 43(5): 975–980. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202105028.htm SUN Jian-sheng. Mechanical concept errors in anti-sliding stability computational model of "vector sum method"[J]. Chinese Journal of Geotechnical Engineering, 2021, 43(5): 975–980. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202105028.htm
[2] 李广信, 张丙印, 于玉贞, 等. 土力学[M]. 2版. 北京: 清华大学出版社, 2018. LI Guang-xin, ZHANG Bing-yin, YU Yu-zhen, et al. Soil Mechanics[M]. 2nd ed. Beijing: Tsinghua university Press, 2018. (in Chinese)
[3] 陈祖煜. 土质边坡稳定分析: 原理·方法·程序[M]. 北京: 中国水利水电出版社, 2003. CHEN Zu-yu. Soil Slope Stability Analysis[M]. Beijing: China Water Power Press, 2003. (in Chinese)
[4] DUNCAN J M. State of the art: limit equilibrium and finite-element analysis of slopes[J]. Journal of Geotechnical and Geoenvironmental Engineering, 1996, 122(7): 577–596. doi: 10.1061/(ASCE)0733-9410(1996)122:7(577)
[5] GUO M W, LI C G, WANG S L, et al. Vector-sum method for 2D slope stability analysis considering vector characteristics of force[J]. International Journal of Geomechanics, 2019, 19(6): 04019058. doi: 10.1061/(ASCE)GM.1943-5622.0001436
[6] 孙建生. 基于有限元应力载荷宏观刚性滑裂面极限平衡抗滑稳定计算理论[J]. 岩石力学与工程学报, 2018, 37(4): 862–875. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201804009.htm SUN Jian-sheng. Theoretical model of stability calculation of macro-rigid sliding planes with FEM stress load based on limit equilibrium[J]. Chinese Journal of Rock Mechanics and Engineering, 2018, 37(4): 862–875. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201804009.htm
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