Through Reissner' s theory, the accurate stress intensity factors in a cylinderical shell with axial and circumference cracks oringinating from a hole have been obtainted separately by using local-global analysis method. Based on the results of [7,8],the weight functions of cylinderical shells have been established by extending Petroski-A chenbach method, and the stress intensity factors have also been obtained. The results are satisfactory. Finally, the convenient approximate formulae used to calculate the bulk factors for engineering uses are proposed.