DEVELOPMENT OF A CANTILEVER PLATE’S MODEL AS A COMPONENT OF THE METHOD OF LOCAL APPROXIMATIONS
- 1 Vorovich Institute of Mathematics, Mechanics and Computer Science, Southern Federal University, Russia
Abstract
The paper contains a numerical-analytical solution for deflections and force factors in a cantilever plate of infinite length due to a concentrated load, which is obtained using modern data about optimal quadrature integration. The aspect of optimality is the main feature that distinguished the present solution. The formulas provide high accuracy, which is examined through comparison of the results with the finite elements method and another numerical-analytical solution. The paper also contains formulas for deflections for different laws of load distribution and ideas for their application.