【Purpose]】The calculation of pipe support stress is directly related to the safety and cost control of the pipeline. At present, in engineering problems, the calculation of support strength often only considers the strength of a single support under the pipeline load, and ignores the overall interaction between the support pipe support. 【Methods]】In this paper, the load data of each support in the straight pipe section of a deep-water general-purpose FPSO fire water part are extracted by the Caesar Ⅱ pipeline stress analysis software. Through the ANSYS static structural module, the strength problems of single support support under the same stress, the overall interaction support between pipeline and support, and different stress conditions under the same support form are calculated and analyzed respectively. 【Results and Conclusion】 When only single support is considered, the maximum stress of pipe support is 64.72mpa and the maximum deformation is 0.405mm; When considering the interaction of support pipe support system, considering the support of two adjacent supports, the maximum stress of the pipe section support is 31.08mpa and the maximum deformation is 0.060mm; considering the support of three adjacent supports, the maximum stress of the pipe section support is 35.14mpa and the maximum deformation is 0.071mm. In addition, the maximum stress and deformation of the support included in the pipeline system under different support forms are related to the stress conditions, but on the whole, the maximum stress, deformation and stress of the support are reduced when considering the interaction between the pipeline and the support. It shows that the traditional strength calculation method which only considers the stress of a single support is conservative compared with the actual engineering. In the actual engineering, the integrity of the support and the pipeline should be comprehensively considered for the strength analysis of the pipeline.