<p>We study the stress-strain state of a closed orthotropic cylindrical shell with irregular layered structure subjected to heating by linear heat sources. To formulate the problem, we use Timoshenko-type equations of the theory of shells that takes into account the transverse anisotropy and two-dimensional heat-conduction equations for inhomogeneous anisotropic shells. The solutions of the nonstationary problem of heat conduction and the quasistatic problem of thermoelasticity for a finite simply supported circular cylindrical shell are found by the methods of Fourier and Laplace integral transformations. The numerical results are presented for a two-layer shell whose layers are made of different kinds of graphite.</p>