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Tytuł:
Reduced equations of slope-deflection method in structural analysis
Autorzy:
Husain, Muhammed Abbas
Hasan, Zahraa Hameed
Powiązania:
https://bibliotekanauki.pl/articles/2106462.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
analiza strukturalna
konstrukcja słupowo-belkowa
podpora mostu
indeterminate structures
slope-deflection
structural analysis
classical methods
reduced equations
Opis:
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.
Źródło:
International Journal of Applied Mechanics and Engineering; 2021, 26, 4; 51--62
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Improvement of the graphical method for plotting the shear and moment diagrams for members subjected to linearly varying loads
Autorzy:
Husain, Muhammed Abbas
Ali, Abdulkhaliq Salim
Powiązania:
https://bibliotekanauki.pl/articles/2174180.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
ścinanie
ścinanie belki
mechanika materiałów
shear diagrams
moment diagram
graphical method
improvement
varying load
Opis:
This study presents an improvement of the graphical method for plotting the shear and moment diagrams for the structural members under linearly varying loads (triangular and trapezoidal loads). Based on the parabolic nature of the shear function, when the loading varies linearly, and on the relations among load, shear, and moment, a mathematical equation is developed to locate the zero-shear point, while a geometric technique is presented to calculate the parabolic shear area. Five comprehensive examples of beams loaded with linearly varying loads are selected to illustrate the steps of the solution for the proposed techniques. The results demonstrated the applicability of the presented method, and gave exact diagrams compared with the basic graphical method. It is concluded that the proposed improved method is generally more convenient, less time-consuming, and has less computational efforts because it does not require sectioning, solving equilibrium equations, and quadratic formulas compared with the basic graphical method.
Źródło:
International Journal of Applied Mechanics and Engineering; 2022, 27, 1; 46--66
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
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