Stresses Due to Normal Loads on the Plane Surface of a Large Thick Plate in Tight Contact with Rigid Foundation

抄録

In recent papers an analysis was given of the distribution of stresses in a thick elastic plate of infinite length on the smooth rigid boundary, loaded with the external pressure on a part of the plane boundary, the remainder of the plane being free^{(1) (2) (3)}. This paper is to find an approximate solution for the plane stress problem caused by a normal load on the free surface of a large thick plate in tight contact with rigid foundation. This problem is complicated too much, but a solution can be obtained by properly using an approximate calculation with the aid of the Fourier integral transformation. The significance of the stress distribution across the contact area and interior part of the plate is discussed. As an example, the contours of the maximum shearing stress τ_max are shown.