The paper deals with a new manner of obtaining a closed-form analytical solution of the problem of bending of a beam on an elastic foundation. The basic equations are obtained by a variational formulation based on the minimum of the total potential energy functional. The basic methods for solving the governing equations are considered and their advantages and disadvantages are analyzed. The author proposes a felicitous approach for solving the equilibrium equation and applying the boundary conditions by transformation of the loading using singularity functions. This approach, combined with the resources of the modern computational algebra systems, allows a reliable and effective analysis of beams on an elastic foundation. The numerical examples show the applicability and efficiency of the approach for the solution of classical problems of soil-structure interaction. and Obsahuje seznam literatury
A number of factories, warehouses, power plants and other industrial buildings have been recognized as industrial culture heritage. At present considerable effort of architects and civil engineers is aimed at re-use of these structures in order to preserve their cultural and heritage value and to avoid wasting energy. However, heritage structures usually do not fulfil requirements of present codes of practice. Simplified conservative procedures of design of new structures given in present codes may lead to expensive repairs and losses of the cultural and heritage value when applied to existing structures. In accordance with EN 1990 and ISO 13822 a probabilistic procedure is proposed to improve the reliability assessment of industrial heritage buildings. The procedure is applied in the reliability assessment of a steel member. and Obsahuje seznam literatury