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EN
This paper is devoted to simply supported beams with bisymmetrical cross-sections under a generalized load. Based on the Zhuravsky shear stress formula, the shear deformation theory of a planar beam cross-section is formulated. The deflections and the shear stresses of exemplary beams are determined. Moreover, the numerical-FEM computations of these beams are carried out. The results of the research are shown in figures and tables.
EN
The subject of the paper is an unsymmetrical sandwich beam. The thicknesses and mechanical properties of the beam faces are different. Mathematical model of the beam is formulated based on the classical broken-line hypothesis. The equations of motions of the beam is derived on the ground of the Hamilton’s principle. Bending, buckling and free-vibration are studied in detail for exemplary unsymmetrical structure of the beam. The values of deflection, critical force and natural frequency are determined for the selected beam cases. Moreover, the same examples are computed with the use of two FEM systems, i.e. SolidWorks and ABAQUS, in order to compare the analytical and numerical calculation. The results are presented in tables and figures.
PL
Publikacja dotyczy modelowania lokalnych warunków wiatrowych w warstwie przyziemnej ze szczególnym uwzględnieniem zjawisk kształtujących środowiskowe cechy obszarów zabudowanych oraz formujących procesy dyspersji zanieczyszczeń. Stosowane w pracy komplementarne metody badawcze obejmują zarówno eksperyment prowadzony w tunelu aerodynamicznym, jak i numeryczne symulacje przy użyciu komercyjnego kodu CFD (Fluent). Podjęte w publikacji zagadnienia reprezentują tematy uznawane za kluczowe dla procedur projektowania strefy zabudowanej.
EN
The purpose of this paper will be the study of the complex impact of nature of the velocity field and the vortex structures generated by the presence of high-rise buildings on the pollutant dispersion in a boundary layer. The program of the study consists of wind-tunnel experiments and numerical simulation URANS (commercial CFD code FLUENT) performed with the use of phase-averaged form of k- turbulence model in RNG version. The issue taken in the publication represents topics considered crucial for the design of built-up areas.
5
Content available Test results of the damaged T-section beams
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tom Z. 19 (169)
20--25
EN
The aim of the paper is the experimental determination of residual bearing capacity prototypes - beams with damaged shelf. Tests conducted to study the effect of beam damage on its residual load carrying capacity. In this paper it is proved that the type of damage affects the residual load-bearing captivity, the nature of the occurrence and the further development of cracks, the beam deflection.
PL
W artykule przedstawiono wyniki badań doświadczalnych belek teowych z uszkodzoną półką. Badania wykonano w celu przestudiowania wpływu uszkodzeń na resztkową nośność belek. Udowodniono, że rodzaj uszkodzenia wpływa na resztkową nośność, charakter występowania i dalszy rozwój rys oraz ugięcie belek.
PL
W pracy przedstawiono model belki trójwarstwowej, w którym uwzględniono cienkie warstwy kleju łączące okładziny z rdzeniem. Sformułowano całkowitą energię potencjalną belki, a z zasady stacjonarności tej energii wyznaczono układ równań różniczkowych równowagi. Układ ten rozwiązano i wyznaczono ugięcie belki. Wyniki rozwiązania analitycznego porównano z wynikami numerycznymi MES. Zamieszczono przegląd literatury z uwzględnieniem współczesnych badań.
EN
The subject of the paper is an analysis of deflection of a five layer sandwich beam. The mechanical and physical properties vary through the thickness of the beam and depend on the material of each layer, which are: the metal face, binding material (the glue) and metal foam core. The main aim of the paper is to present an analytical model of the five layer beam and to compare the results of the analyses obtained theoretically and numerically. Moreover, the proposed model is compared with a three layer sandwich beam model. In the paper a mathematical model of the field of displacements, which include a share effect and a bending moment, is presented. The system of partial differential equations of equilibrium for the five layer sandwich beam is derived on the basis of the principle of stationary total potential energy. The equations are analytically solved and deflection is obtained. The influence of the binding layer thickness and Young’s modulus on the value of deflection is analysed. Comparison of the results obtained in the analytical and numerical (MES) analysis are shown in graphs and figures.
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tom [nr] 6 (26)
22-31
PL
Przedstawiamy propozycję trzyliniowego modelu zależności moment-krzywizna, który może mieć zastosowanie do analizy deformacji belek żelbetowych. Model ten pozwala na ocenę ciągliwości i obliczanie ugięcia.
EN
A trilinear moment-curvature model is constructed by presenting each of uncracked, cracked, and yielded behavior of reinforced concrete beams as linear segments. The trilinear moment-curvature relationship considered here is defined by the points of cracking, yielding and ultimate. The curvature at first yield and the ultimate curvature are applied in ductility calculations. Furthermore this moment-curvature relationship can be apply to deflection calculations of beams. The obtained theoretical moment-curvature curve fits well with experimental data.
EN
The protection and use of historic buildings is a difficult and costly task. Most often, these objects are under conservatory protection and any interference in their structure requires appropriate consent. On the other hand, conducting construction works on historic buildings carries a high risk of their damage or even destruction. Therefore, proper prior diagnostics is an extremely important factor affecting the scope and manner of works to be conducted. The paper presents the use of 3D scanning to determine the deflection of the ceiling under the Column Hall of the historic Palace, the floor of which showed elasticity, recorded during changing service loads. After identifying the places with the greatest deflections, based on data from 3D laser scanning, test holes were made and wood samples from the ceiling were taken to perform moisture content and mycological tests. An endoscopic inspection camera was inserted into test holes, providing the basis for recognizing the structure of the ceiling, i.e. arrangement of layers as well as dimensions and spacing of ceiling beams. Strength calculations were made with the limit state method resulted in the determination of the maximum permissible service load on the ceiling. The presented course of action in diagnostics of the analysed historic building may be an example of a preliminary procedure to be taken before deciding on changes in the manner of use of historic buildings or the functionalities of their individual parts.
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