| 多种情形垂直条形梯形分布荷载下的地基附加应力推导 |
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| 引用本文： | 雷胜友.多种情形垂直条形梯形分布荷载下的地基附加应力推导[J].河南科学,2010,28(11):1419-1424. |
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| 作者姓名： | 雷胜友 |
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| 作者单位： | 长安大学公路学院,西安710064 |
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| 基金项目： | 国家自然科学基金，陕西省自然科学基金，地质灾害防治与地质环境保护国家重点实验室开放基金，陕西省交通科技项目，长安大学《土质学与土力学》精品课建设项目 |
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| 摘 要： | 研究发现通过叠加原理可以得到矩形面积上梯形分布垂直荷载作用下地基附加应力公式,通过矩形边长的多种变化,可以推导出的梯形垂直分布条形荷载、梯形垂直分布半无限条形荷载、梯形垂直分布十字形条形荷载、梯形垂直分布Z字形条形荷载和无限大面积上梯形垂直分布荷载下的地基附加应力公式,其推导过程更多地体现了有限和无限的辩证关系,达到了启迪智慧的目的.
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| 关 键 词： | 叠加原理 矩形面积 梯形分布荷载 条形面积 极限 无穷大 半无限长度 |
Deriving the Formula of the Increase of Vertical Stress under Rectangle Areas Carrying a Linear Pressure |
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| Lei Shengyou.Deriving the Formula of the Increase of Vertical Stress under Rectangle Areas Carrying a Linear Pressure[J].Henan Science,2010,28(11):1419-1424. |
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| Authors: | Lei Shengyou |
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| Institution: | Lei Shengyou (School of Highway, Chang＇an University, Xi＇an 710064, China) |
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| Abstract: | According to the the principle of superposition, the authors first obtained the vertical stress at depth Z below point 0 on the rectangular l×b carries a linear pressure q in the method of corner of rectangular, and then got the formulas of vertical stress in the vicinity of several different strip areas carrying a linear pressure through changing side length of the rectangular, which indicates that the finiteness can be changed into infiniteness each other. The above reasoning is helpful to understand the formula of vertical stress in the vicinity of strip area carrying a linear pressure thoroughly. |
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| Keywords: | the principle of superposition rectangular area linear distribution load strip area limit infinite： semi-infinite |
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