A method for calculating the ultimate bearing capacity of a strip foundation under an inclined load

Abstract

A method for calculating the ultimate bearing capacity of a strip foundation under an inclined load is disclosed. By constructing a failure model of a multi-rigid-block foundation under an inclined load, the formula for calculating the ultimate bearing capacity of strip foundation under inclined load is established, and the problem of solving the ultimate bearing capacity of strip foundation is equivalent to a multi-dimensional function extreme value problem with nonlinear constraints. The method takes the advantage of the improved radial motion algorithm to solve the extremum problem of multidimensional functions; the failure slip line of foundation is searched for and the corresponding ultimate bearing capacity of foundation is calculated. Through continuous comparison and progress, thefailure slip line in the domain that makes the minimum bearing capacity of foundation is found, and the corresponding minimum bearing capacity is the ultimate bearing capacity of foundation. Comparedwith the prior art, the invention avoids the tedious calculation of the traditional theoretical method and the limitation of the calculation precision, can conveniently and quickly find out the foundation failure slip surface under the action of the inclined load, and greatly improves the work efficiency.

Description

technical field

[0001] The invention relates to the technical field of geotechnical engineering, in particular to a method for calculating the ultimate bearing capacity of a strip foundation foundation under the action of an inclined load. Background technique

[0002] The determination of foundation bearing capacity is not only one of the primary entry problems in geotechnical engineering, but also one of the final problems in the advanced stage. The determination of foundation bearing capacity is accompanied by the development of soil mechanics, but so far, there is no perfect method to solve it. Judging from the current research, most scholars in the past mostly focused on the ultimate bearing capacity of the foundation under the action of the central vertical load. However, the loading method of the foundation in actual engineering is not purely vertical loading, but may also be affected by horizontal loads. . For example, the shallow foundations of structures such as ...

Examples

Embodiment 1

[0080] see Figure 1 to Figure 15 , a calculation method for the ultimate bearing capacity of a strip foundation foundation under the action of an inclined load includes the following steps:

[0081] The first step is to establish a multi-rigid block foundation failure calculation model.

[0082] Rigid rough strip foundation width is B 0 , the overload on both sides is q, assuming that the ultimate bearing capacity of the foundation at the load inclination angle δ is P u Under the action of , the foundation soil appears one-sided translation failure, and the foundation failure model can be expressed as a failure body composed of (n+1) triangular rigid blocks, such as figure 1 shown. The triangular rigid block ABC is rigid block No. 0, and then the remaining rigid blocks are numbered 1, 2,..., n from left to right. The position of the ground failure slip surface is controlled by a group of matrix variables, and its mathematical expression is shown in formula (1).

[0083] ...

Embodiment 2

[0125] This embodiment is based on the indoor model test of Patra et al. (2012), and the superiority of the present invention is proved by comparing with the calculation results of the foundation ultimate bearing capacity of different scholars.

technical field

[0001] The invention relates to the technical field of geotechnical engineering, in particular to a method for calculating the ultimate bearing capacity of a strip foundation foundation under the action of an inclined load. Background technique

[0002] The determination of foundation bearing capacity is not only one of the primary entry problems in geotechnical engineering, but also one of the final problems in the advanced stage. The determination of foundation bearing capacity is accompanied by the development of soil mechanics, but so far, there is no perfect method to solve it. Judging from the current research, most scholars in the past mostly focused on the ultimate bearing capacity of the foundation under the action of the central vertical load. However, the loading method of the foundation in actual engineering is not purely vertical loading, but may also be affected by horizontal loads. . For example, the shallow foundations of structures such as ...

Examples

Embodiment 1

[0080] see Figure 1 to Figure 15 , a calculation method for the ultimate bearing capacity of a strip foundation foundation under the action of an inclined load includes the following steps:

[0081] The first step is to establish a multi-rigid block foundation failure calculation model.

[0082] Rigid rough strip foundation width is B 0 , the overload on both sides is q, assuming that the ultimate bearing capacity of the foundation at the load inclination angle δ is P u Under the action of , the foundation soil appears one-sided translation failure, and the foundation failure model can be expressed as a failure body composed of (n+1) triangular rigid blocks, such as figure 1 shown. The triangular rigid block ABC is rigid block No. 0, and then the remaining rigid blocks are numbered 1, 2,..., n from left to right. The position of the ground failure slip surface is controlled by a group of matrix variables, and its mathematical expression is shown in formula (1).

[0083] ...

Embodiment 2

[0125] This embodiment is based on the indoor model test of Patra et al. (2012), and the superiority of the present invention is proved by comparing with the calculation results of the foundation ultimate bearing capacity of different scholars.

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