TECHICAL Series MATHEMATICS • INFORMATICS • PHYSICS Series PHILOLOGY Series ECONOMIC SCIENCES Sereies EDUCATIONAL SCIENCES Series LAW AND SOCIAL SCIENCES Series
The Influence of the Shear Force in the Deflections of Cantilevers with Variable Cross Sectional Area
(Influenţa forţei tăietoare în deformarea consolelor cu secţiune variabilă)
Vol LXIII • No. 2/2011
Vasilii Graur, Şerban Vasilescu, Dorin Bădoiu
Universitatea Petrol-Gaze din Ploieşti, Bd. Bucureşti 39, Ploieşti
e-mail: vserban@upg-ploiesti.ro

 Keywords   deflection, slope, elastic curve, shear force.

 Abstract
In the paper is analysed the influence of the shear force in the deflections of cantilevers loaded with an uniform distributed external pressure. The differential equation of the elastic curve of the beam is integrated in two hypothesis: when the influence of the shear force in the deflection is neglected and when is not. In both cases it is obtained the analytical solution of the deflections and slopes. The results obtained are analysed in a calculus example.

 Rezumat
În lucrare se analizeazã influența forței tăietoare asupra consolelor cu secțiunea variabilă. Ecuația diferențială a fibrei medii deformate este integrată in două ipoteze: când influența forței tăietoare este neglijată și când este luată în considerare. În ambele cazuri sunt obținute expresiile rotirilor și săgeților. Rezultatele obținute sunt analizate pe un exemplu de calcul.



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