The question of the applicability of a nonlinear deformation model for the calculation of bent tubular concrete elements with round pipes is considered. A criterion for the destruction of a bent tubular concrete element without limiting concrete deformations during compression is proposed. The advantage of this failure criterion is the possibility of taking into account a high degree of redistribution of forces in the cross section of the bent tubular concrete element after the pipe steel reaches the yield strength and there is no need to normalize the ultimate compressibility of concrete. The results of the nonlinear calculation of the limiting force are compared with experimental data from the formed sample of studies. The applicability of the nonlinear calculation is confirmed, taking into account the authors' proposals for tubular concrete elements with round pipes during bending to calculate the moment corresponding to the beginning of the flow of pipe steel.