Abstract
The article deals with the calculation of triangular dams by numerical and analytical methods. The analytical solution is performed by a semi-inverse method. The stress function is taken as a polynomial of the third degree. Numerical calculation is performed using the finite element method. A comparison of the results obtained by the two methods is performed.
Highlights
Triangular shape dams are the one of the most economical structures in terms of materials consumption
Comparison of stresses in a triangular dam obtained with Finite element method (FEM) with the results of an analytical calculation will be implemented in this article
It can be seen from the presented graphs that the analytical solution based on the classical theory of elasticity describes quite well the stress-strain state of the structure at points, which are located far from the reference zone
Summary
Triangular shape dams are the one of the most economical structures in terms of materials consumption. Such structures must satisfy the following conditions: the absence of tensile stresses in the concrete, as well as the sufficient stability of the dam body against shear over the base. The determination of the stress-strain state of triangular dams can be performed by numerical and analytical methods of the theory of elasticity. In articles [1-5], a numerical solution of the plane problems of the theory of elasticity using the finite difference method is considered. Comparison of stresses in a triangular dam obtained with FEM with the results of an analytical calculation will be implemented in this article
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