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Structural Engineering and Mechanics Volume 24, Number 6, December20 2006 , pages 647-664 DOI: https://doi.org/10.12989/sem.2006.24.6.647 |
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A simple finite element formulation for large deflection analysis of nonprismatic slender beams |
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Samir Z. AL-Sadder, Ra
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| Abstract | ||
| In this study, an improved finite element formulation with a scheme of solution for the large deflection analysis of inextensible prismatic and nonprismatic slender beams is developed. For this purpose, a three-noded Lagrangian beam-element with two dependent degrees of freedom per node (i.e., the vertical displacement, y, and the actual slope, dy/ds = sinq, where s is the curved coordinate along the deflected beam) is used to derive the element stiffness matrix. The element stiffness matrix in the global xy-coordinate system is achieved by means of coordinate transformation of a highly nonlinear (6 | ||
| Key Words | ||
| ADINA; finite element; large deflection; nonprismatic beams; quasi-linearization. | ||
| Address | ||
| Samir Z. AL-Sadder; Department of Civil Engineering, Faculty of Engineering, Hashemite University, Zarqa 13115, Jordan Ra | ||