Formerly, for the calculation of coil internal stress in coil winding process, the steel coil is often regarded as elastic thick wall cylinder or a combined cylinder elastic solution and then derived. In fact, the thickness of hot rolling steel strip is larger, along the circumferential, steel strip has obvious non-circular characteristic. Calculating according to the circular curve, calculation error will be larger. So, in allusion to the problem that along with the increase of the thickness of the strip steel coil internal strip along the circumferential non-circular characteristic is more apparent in hot rolled strip coiling process, whereas the circumferential symmetrical closed cylinder class model not only the actual state and strip large deviation and can predict the interlayer slip, fully combined with hot coiling process equipment and process characteristics, for the first time using spiral open cylinder class model, considering the coiling process stress and deformation along the circumferential distribution of nonuniformity and steel coil head coil and drum is not entirely contact characteristics, puts forward a set of suitable for hot rolled strip coiling steel roll internal stress distribution model, given the corresponding interlayer slip judgment conditions, formulate the corresponding coil internal stress and interlayer slip forecast software, and apply it to the production practice and has achieved good using effect, has the further popularization and application value.