Topic
Bending moment
About: Bending moment is a research topic. Over the lifetime, 14577 publications have been published within this topic receiving 158834 citations. The topic is also known as: bending moment.
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TL;DR: In this article, a new Bernoulli-Euler beam model based on a simplified strain gradient elasticity theory is established, and the generalized Euler-Lagrange equations and corresponding boundary conditions are naturally derived from the Hamilton's principle.
46 citations
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TL;DR: In this article, a discussion of useful stochastic procedures for wave load problems is given, covering the range from slightly linear to strongly non-linear (bifurcation) problems.
46 citations
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TL;DR: In this paper, an inverse elastic flexural model for foreland basins has been developed and applied to southeastern Sicily, where the lithosphere is assumed to act as an elastic plate of finite lenght (L) and constant flexural rigidity (D ).
46 citations
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TL;DR: Poncharal et al. as discussed by the authors showed that the rippling mode is permissible by the theory for highly anisotropic elastic materials of finite deformation and that the dependence of the bending moment upon the bending curvature can be well approximated by a bilinear relation, in which the transition from one linear branch to the other corresponds to the emergence of the ripple mode.
Abstract: It has been reported that a multiwalled carbon nanotube in bending may exhibit an unusal elastic mode that corresponds to the wavelike distortion or ripple along the inner arc of the bent nanotube, called the rippling mode, which cannot be predicted by the linear theories. The present analysis shows that the rippling mode is permissible by the theory for highly anisotropic elastic materials of finite deformation and that the dependence of the bending moment upon the bending curvature can be well approximated by a bilinear relation, in which the transition from one linear branch to the other corresponds to the emergence of the rippling mode. With this bilinear relation, the authors show that the deflection response to a transverse force is consistent with the unusual behavior reported by Wong, Sheehan, and Liebert [Science 277, 1971 (1997)]. Furthermore, their analysis indicates that there exists a critical diameter, for given load and length, which corresponds to the emergence of rippling mode, and that the effective Young’s modulus of multiwalled carbon nanotubes at the vibration resonance drops sharply as the diameter increases to surpass this critical value, confirming a phenomenon observed by Poncharal, Wang, Ugarte, and de Heer [Science 283, 1513 (1999)]. © 2003 The American Physical Society.
46 citations
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TL;DR: In this article, the influence of the choice of model for the soil (Winkler or linear elastic) on the moments induced in the foundation was studied for a typical three bay frame and for a range of soil and foundation stiffness.
Abstract: An analysis was developed which considered the structure, continuous foundation and supporting soil as a single compatible unit. The influence of the choice of model for the soil (Winkler or linear elastic) on the moments induced in the foundation was studied for a typical three bay frame and for a range of soil and foundation stiffness. It was evident that the conventional method of analysis and the soil-line method overestimated the negative moments in the foundation but underestimated the positive moments. The bending moment diagrams were similar for both soil models for the three bay frame but for four or more bays the bending moment diagrams are vastly different. The maximum bending moments for the two models is opposite in sign.
46 citations