Exact solutions of the theory of elasticity for a clamped rectangle

We present the formulas that describe the exact solutions of the boundary value problems in the theory of elasticity for a half-strip and a rectangle in which the horizontal sides are firmly clamped, while normal and tangential stresses are specified on the vertical ones. We consider only an even-symmetric deformation of the half-strip and the rectangle relative to the horizontal axis of symmetry as well as even-symmetric and odd-symmetric deformations relative to the vertical axis of symmetry for the rectangle. This paper is based on the previously obtained solutions for a free half-strip and a free rectangle.