Structural Mechanics of Engineering Constructions and BuildingsStructural Mechanics of Engineering Constructions and Buildings1815-52352587-8700Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)10834Research ArticleTHE LOCAL STRESS-STRAIN STATE OF A CYLINDRICAL SHELL ON THE BASIS OF THE THREE-DIMENSIONAL EQUATIONS OF THE THEORY OF ELASTICITYFirsanovV Vk906@mai.ruMoskovskiy aviazionniy institute, Moscow150220132101912092016Copyright © 2016, Structural Mechanics of Engineering Constructions and Buildings2016Mathematical models and calculation's algorithms of the stress-strain state of a cylindri- cal shell in a zone of its distortion are developed. In places of fixing, presence of connections and joints, actions of local loadings arise additional in relation to the classical theory quickly damped stresses. The boundary value problem is solved and calculations of stresses near rig- idly mounted shell edge at axisymmetrical loading are carried out.Lagrange functionala method of trigonometrical seriesa symbolical methodLaplace transformationa local stress state of type "boundary layer"функционал Лагранжаметод тригонометрических рядовоператорный методпреобразование Лапласалокальное напряженное состояние типа «погранслой»