Based on the Boussinesq formula, exact formulae are derived for the vertical stress beneath the corner of an arbitrarily shaped triangular surface region subjected to vertical pressures with a uniform, linear, or quadratic distribution. These formulae are the basis of a proposed analysis technique in which any arbitrarily shaped loading region is approximated by a set of triangular regions. Computer algorithms that take advantage of the highly repetitive, yet simple, mathematical operations can readily be implemented on the computational facilities currently available to most engineers. Key words: triangular or arbitrarily shaped load regions, vertical stress distribution, computer solution.
The problem of determining the holding capacity of flat plates and marine anchors in cohesionless soils is briefly reviewed and the reasons for the difference in the performance of marine anchors and that of simple flat plates are identified. The role which each anchor component plays during the embedment process is discussed.An analytical procedure to estimate the holding capacity of anchors with planar flukes, such as the Danforth anchor, as a function of soil properties and the depth of penetration into the soil is presented and checked against data from laboratory and published field tests.Factors such as anchor stability and characteristics of the pulling cable which can affect both anchor orientation and the maximum depth to which a particular anchor can penetrate the soil have not been included in the analysis. Consequently, it is not yet possible to predict the ultimate holding capacity that a particular anchor may achieve if pulled through an adequate distance.
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