On the use of Fourier transforms for the solution of two-dimensional problems of elastostatics
where \j/{£) is an arbitrary integrable function, are suitable for constructing solutions of the two-dimensional problems of elastostatics, where the elastic field is symmetric about the x-axis. These solutions have the property that the shear component of the stress tensor vanishes for y = 0 and that all the components of the stress tensor and the displacement vector approach zero for large distances from the origin. The normal component of the stress-tensor for y = 0 is given by the relation