In locations where the laying direction of underground pressure pipelines changes,the thrust in-duced by liquid pressure is generally balanced with three types of resistance:lateral resistance of the curved pipe segments,lateral soil resistance of the straight pipe segments,and axial frictional resistance.In this paper,the horizontally redirected underground pressure pipelines with rigid interfaces are studied considering the simul-taneous influence of the three aforementioned resistances.Based on the Euler-Bernoulli beam theory and the Winkler foundation model,analytical solutions for the effective restraint length of the straight pipe segment are obtained.A comparative study is conducted on whether considering the influence of lateral stiffness of soil in the curved pipe segment on the stress and displacement of the pipeline.The effects of various factors including the pipe-soil friction coefficient,change in laying direction angle,Lateral stiffness of soil in straight pipe segments,and lateral constraint of curved pipe segments on the effective restraint length,bending moment,axial force,and shear force of the pipeline are discussed.The analytical solution derived in this paper can more reasonably calculate the effective restraint length of the pipeline based on the lateral constraints of straight and curved pipe segments.
Underground pressure pipelineEuler-Bernoulli beam theoryWinkler foundation beam modelEffective constraint length
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