In this paper, based on the previously obtained results of modal analysis of free transverse oscillations of a horizontally oriented cylindrical shell, which is reinforced from the middle by stringers, the influence of frequencies and shapes of natural oscillations on the stress-strain state for a large number of modes is estimated. The finite element method was used to determine the stress values in the event of natural transverse oscillations. A finite element model of a thin-walled reinforced cylinder was created in the Cartesian coordinate system. The origin is located in the center of the cylinder end, in the YZ plane. The construction of the cylinder was performed along the X axis. To build a finite-element model of the shell, a four-node element SHELL181 was used, which is characterized by six degrees of freedom in each of the nodes. In the finite-element modeling of stringers, a linear two-node spatial beam element BEAM 188 was used, with six degrees of freedom in each node. These elements are suitable for linear as well as nonlinear problems with large turns and (or) large deformations. The geometrical parameters of the finite element model are similar to the first stage of the launch vehicle, respectively, the length of the cylinder is 6.3 m, diameter 1.8 m, wall thickness 0.0015 m. shells symmetrically and with a constant step, according to the actual design. The shell and stringers are given physical and mechanical characteristics characteristic of the D16AT material, in particular the Young's modulus E = 7.2×10⁵ MPa; Poisson's ratio ν = 0,3; ρ= 2,7^.10⁴ Н/м³. The nature of voltage changes with increasing natural frequency oscillations was investigated and the peculiarities of the distribution were determined. Numerical values of normal and tangential stresses were determined. It is established that with the increase of the frequency of natural oscillations there is a decrease of normal and tangential stresses. The curvilinear characteristic of stress change is revealed. It is shown that in the second form of oscillations the numerical values of stresses, due to the axisymmetry of the shell, are similar to the first form. The calculated values of tangential stresses exceed the yield strength of the material D16AT