Abstract: In order to derive a simple, practical and accurate bending stress formula for vertical elastic laying pipeline, bending stress formulas in the pipeline standards at home and abroad are studied carefully, and the applicability and shortage of the existing formulas are analyzed. In view of that, according to the structure mechanics theory and starting from the plane section assumption, this paper re-derives the bending stress formula for vertical elastic laying pipeline using calculus and uses ANSYS finite element software to verify the accuracy of this formula. The result shows that the derived formula based on solid theory, is simple with high applicability, and can accurately calculate the bending stress of vertical elastic laying pipeline. This research provides a reliable tool to the calculation of bending stress for vertical elastic laying pipeline and makes up for the shortage of previous bending stress formulas for vertical elastic laying pipeline in the pipeline standards at home and abroad.