Open AccessExact and beam solutions for a narrow clamped rectangle
Author(s) -
М. Д. Коваленко,
Irina V. Menshova,
Alexander P. Kerzhaev,
T. D. Shulyakovskaya
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2231/1/012027
Subject(s) - rectangle , geometry , symmetry (geometry) , boundary value problem , mathematics , axis of symmetry , mathematical analysis , deformation (meteorology) , beam (structure) , elasticity (physics) , physics , classical mechanics , optics , meteorology , thermodynamics
The paper presents formulas describing an exact solution to the boundary value problem of the theory of elasticity in a rectangle in which the horizontal sides are rigidly clamped, and normal and tangential stresses are given on the vertical ones. Only an odd-symmetric deformation of the rectangle with respect to the horizontal axis of symmetry and an even-symmetric deformation of the rectangle with respect to the vertical axis of symmetry are considered. The paper is based on the previously obtained solutions for a free half-strip and a free rectangle.