In this paper, the modified formulae have been provided. They can be used to calculate the stress in layers with gaps of a layered cylinder. In order to obtain the modified formulae, a detailed derivation process has also been presented in this paper. Meanwhile, we have clarified the derivation process and application range of Pimshtein’s formulae and corrected the errors. We have also indicated the shortcomings of the formulae given by Huang, Chen and Lai, and the ASME code. Finally, a practical example is presented to show how the modified formulae are applied. Calculation results obtained from the modified formulae have been compared with those obtained by finite element method and above mentioned formulae; it shows that the results from the modified formulae are in accordance with finite element results.

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