The boundary layer effect for multilayered wall with longitudinal gradation of effective properties was investigated. The consideration was reduce to the one dimensional stationary problem. This wall was made of two isotropic, homogeneous and linear elastic components.

The present paper is dedicated to verification the analytical formulae of so called Westergaard problem (moderately thick plate resting on elastic foundation, subjected to standard load by vehicle wheel) by the finite element method. The following aspects were considered: assumptions and definition of the problem, calibration of the FEM model, comparison of the FEM and analytical solutions, proposition of the correct solutions useful for practical design of concrete pavements.

The stationary, one-dimensional heat conduction problem for multilayer longitudinal FGM was investigated. The influence of the boundary layer effect on the distribution of temperature fields in longitudinal FGM was considered. The wall was built of two homogeneous, isotropic heat conductors.

The present paper is dedicated to state-of-the-art of engineering applications of tensegrity structures for bridges and footbridges. New projects and practical realizations can be observed recently. The main advantage of the tensegrity structures is its light weight and possibility of self-diagnosis and self-repair. Some new projects and applications in the field of smart tensegrity bridges and footbridges are expected in the nearest future.

In the paper the variety of architectural styles in the early 20^th century is presented, showing examples of public utility buildings, erected in this time in Poland. An example of historical style is the National Savings Bank edifice in Cracow, erected in the years 1922–1924 according to the Adolf Szyszko-Bohusz design. Simultaneously a new style, referred to as Art Nouveau appeared. The competition for National Savings Bank in Rzeszów, announced in 1906 was taking into account the traits of Art Nouveau, and in the result the design different from historical styles, with an asymmetric elevation was selected for realization. On Podhale and gradually in other regions the Zakopane style became prevalent in those days; the kindergarten in Nałęczów, designed by Jan Witkiewicz-Koszczyc was built in this style. The next example is the Post Office edifice in Wrocław, designed by Lothar Neumann and erected in the years 1926–1929. In the final part of the paper the Post Office edifice in Ciechocinek, built in the modernism style in 1933 according to the design of Romuald Gutt and Józef Jankowski, is presented; this edifice even in our times attracts attention by its novatory form and a good realization.