By means of the geometry functions stress intensity factors may be calculated for other loadings and pipe geometries for the crack parameters considered, presuming only that the wall thickness to inner radius ratio of the pipe is 1 : 10 and that the axial stress in the uncracked pipe remains constant through the wall.Loading cases which generate stress gradients in the uncracked pipeas for example thermo-shock problemscannot be treated with the results presented in this paper, but by means of the weight functions method, which will be available soon.References 1. J. Newman, I. Raju, An empirical stress intensity factor equation for the surface crack. Eng. Fract. Mech. 15 (1981) 185-192. 2. P. Morawietz, C. Mattheck, D. Munz, Stress intensity factor of partly circumferential surface cracks at the inside of a pipe loaded arbitrarily.