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In this paper, the surface crack problem in a cylinder subjected to internal pressure is solved. The analysis is based on the body force method, but it is different from the usual body force method in the following point. That is, the body forces to be continuously distributed on the imaginary cylindrical boundaries are approximated by some discrete point forces acting on the outside of the imaginary boundaries. By using this method combined with the resultant force boundary conditions, solutions with high accuracy can be easily obtained.