This paper presents an update of the slope-deflection method, which is used in the analysis of statically indeterminate structures. In this study, new reduced equations are presented based on including both the effects of the member rotations and the fixed end moments in one term, rather than two terms, in order to simplify the application of the slope-deflection method. The reduced equations are developed, then three numerical examples with comprehensive cases of beams are solved by applying both the original and the proposed reduced equations. The analysis outputs indicated that the reduced equations are applicable for all cases that can be analyzed by the slope-deflection method, and give identical results compared with the original equations. It is found that the reduced equations require less computations when the structure has no support settlement, compared with the original equations, whereas the computations are approximately similar when the structure has a support settlement.
Classical approach is a popular method used in the analysis of structures including bending plates, but these plates can have highly irregular geometry and contain holes or may be subjected to loading irregularity. Hence, the analysis is further complicated and the classical approaches are not valid. Thus, the Finite Element Method is used to control the accuracy and it is needed for more difficult problems. In the present study Fourier series theory as classical approach and finite element method of analysis were discussed and the numerical examples of a simply supported and fixed supported square steel plate were used to compare them. The results obtained with general public software LISA that uses FEM was plotted according to the element types, both quadrangular and triangular. Their convergence was verified with the values obtained from classical approach to validate the results of FEM from LISA. The results showed the conformity with the existing theories that the greater discretization the more the reality is approached. The convergence error of 5% was taken as the maximum for the element types and meshes to be used for highly sophisticated plate systems. The ratios of element size to the size of the whole square plate to be used for general cases of square plate dimensions were established.
Z uwagi na nowe obszary zastosowań gazu koksowniczego (syntezy chemiczne, turbiny, silniki gazowe) wzrastajŕ wymagania dotyczŕce jego jakoúci, która nierozerwalnie zwiŕzana jest z jego skůadem chemicznym. Do okreúlenia skůadu koniecznym staje sić wykorzystanie, oprócz metod klasycznych, metod chromatograficznych kwalifikowanych do technik instrumentalnych. Pozwalajŕ one na szybkŕ ocenć jakoúci gazu koksowniczego i oznaczenie wielu skůadników jednoczeúnie w trakcie jednej analizy. W pracy omówiono metody analizy gazu koksowniczego, zarówno klasyczne, jak i chromatograficzne. Zwrócono uwagć na istotne róýnice i ograniczenia powyýszych metod. Przedstawiono rodzaje kolumn, detektory jakie stosuje sić do oznaczenia poszczególnych skůadników gazu koksowniczego wykorzystujŕc chromatografić gazowŕ, cieczowŕ, jonowŕ oraz technikć ůŕczonŕ GC-MS. Omówiono problemy zwiŕzane z analitykŕ (adsorpcja niektórych analitów na materiaůach z którymi gaz koksowniczy ma kontakt, czas przechowywania próbki, absorpcja/rozpuszczanie jednych analitów w drugich).
EN
Due to new areas of applications of coke oven gas (chemical synthesis, turbines, gas engines) requirements for its quality are increasing which is integrally connected with its chemical composition. In addition to classical methods gas chromatography, which is classified as instrumental technique, allow for rapid assessment of the quality of coke oven gas and determination of many elements simultaneously in a single analysis. The paper discusses classic and chromatography methods of the analysis of coke oven gas. Attention was paid to important differences and limitations of these methods. Types of columns, detectors which are used to determine the individual components of coke oven gas using gas chromatography, liquid chromatography, ion, and a combined technique of GC-MS are discussed. The problems connected with analytics (adsorption of some analytes to the materials with which coke gas has contact, storage time of the sample, the absorption / dissolution of some analytes in the second) are presented.
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