We study an isotropic shell of double curvature weakened by two through collinear cracks whose faces are in contact in the case of bending of the shell. The solution of the problem is obtained by the method of singular integral equations and the numerical method of mechanical quadratures. We perform the numerical investigations of the dependences of force and moment intensity factors on the sizes of the cracks, the distance between them, and the curvature of the middle surface of the shell.