Abstract: Ground subsidence induced by collapse leads to suspension or subsidence of pipes. It can cause stress concentration, which is a significant factor being a threat to safe operation of pipelines. Then the pipes can be divided into suspended segment and buried segment. Based on the theories of the Vlasov Elastic Foundation Beam and simply-supported beams, a mechanical model of interaction between the pipelines and the soils was built up. According to the compatibility conditions of the hanging and non-hanging parts, this paper solved differential equations describing the deflection of pipeline and derived the formulas of deflections and internal forces. Connecting with pipeline operation status, the formulas of piping stresses were deduced by piping stress analysis. Meanwhile piping stress analysis can define the scope of application of the model. The calculated results were compared to the measured values and results by the Winkler model. It is shown that the calculated results of the Vlasov model are more suitable than the Winkler model in analyzing stresses and deformation of pipelines. According to the normalized analysis of main affecting factors including pipe material, pipe dimension, pipe depth and length of collapse, the length of collapse is the most important factor for the safe operation of pipelines.