This research aims to enhance the knowledge on stress–strain states of a coiled pipe used for Hydraulic transient experiments. The membrane theory of shells of revolution has been applied for the description of axial and circumferential strains while an inverse method has been used to analyse bending effects. The developed stress–strain model has been successfully validated for dynamic loading. Finally, a simplified version of the stress–strain equations is presented with the go alto facilitate fluid–structure interaction FS Iimple- mentation in the hydraulic transient model. The fluid waves peed formula for coiled pipes has been presented.