Topic
Flexural rigidity
About: Flexural rigidity is a research topic. Over the lifetime, 3829 publications have been published within this topic receiving 56780 citations.
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TL;DR: In this paper, the collapse behavior of a non-uniform circular shallow arch is analyzed for both fixed-fixed and pinned-pinned boundary conditions, and the equilibrium equations are derived based on the least potential energy principle and the resulting solutions are presented by proper non-dimensionalization in a form independent of total length of the whole arch by identifying two modified slenderness parameters.
14 citations
Journal Article•
TL;DR: In this paper, the structural behavior of bolted cast iron segments has been investigated under simple, known loading conditions, and the conclusions drawn are that the modulus of flexural rigidity of the segments is changed by variation in the applied bending movement, and also with variation in uniform pressure on the back of the segment.
Abstract: The structural behavior of bolted cast iron segments has been investigated under simple, known loading conditions. This knowledge was required to help ascertain the structural behavior of segments in actual tunnels where complex loading conditions exist. One of two kinds of segment studied was an experimental segment of unusual proportions. Some structural properties of tunnel segments for which evidence had previously been inconclusive were clearly displayed by these experimental segments. Among the conclusions drawn are that the modulus of flexural rigidity of the segments is changed by variation in the applied bending movement, and also with variation in uniform pressure on the back of the segment. The joints between segments do not always behave as simple butt joints.
14 citations
TL;DR: In this article, a numerical study using nonlinear finite-element analysis is performed to investigate the behavior of reinforced-concrete flat plates subject to combined in-plane compressive and out-of-plane floor loads.
Abstract: A numerical study using nonlinear finite-element analysis is performed to investigate the behavior of reinforced-concrete flat plates subject to combined in-plane compressive and out-of-plane floor loads. For the nonlinear finite-element analysis, a computer program addressing material and geometric nonlinearities is developed. The flat plates to be studied are designed according to the direct design method. Through studies on the effects of different load combinations and loading sequence, the load condition that governs the strength of the flat plates is determined. And, for the flat plates under the governing load condition, parametric studies are performed to investigate the variations of the buckling coefficient and the effective flexural rigidity. As a result, this paper provides rational design rules for the moment magnifier method that is applicable to the flat plates.
14 citations
TL;DR: A simple, robust, method is newly applied to a biomaterial and validated here as an alternative to measure flexural rigidity of thin, flexible plant elements and suggests a better approach to measure bending properties of different biomaterials in the field compared with more traditional bending tests.
Abstract: • Premise of the study: The mechanical properties of a plant are key variables governing the interaction between the plant and its environment. Thus, measuring variables such as the flexural rigidity (bending) of a plant element is necessary to understand and predict the plant-flow interaction. However, plant elements such as macrophyte blades can be relatively thin and flexible, thus difficult to characterize. Different adaptations of the classical 3-point bending tests can also affect the interpretation of the flexural rigidity of an element. A simple, robust, method is newly applied to a biomaterial and validated here as an alternative to measure flexural rigidity of thin, flexible plant elements.• Methods: Based on a bending test procedure developed for the textile industry, an apparatus for in-situ measurements was developed and compared with other normalized methods, then used in a field test on the blade of a marine macroalga (Laminaria digitata) to assess its suitability to measure the bending modulus of a biomaterial.• Key results: Results of the presented method on selected surrogate materials agree with a normalized cantilever method (ISO 9073-7:1998) and 3-point bending test (ISO 178:2010). Values determined for the bending moduli for blades of L. digitaria were in the typical range for algal material. The range of validity of the method is discussed.• Conclusion: By validating this method with existing norms, this study suggests a better approach to measure bending properties of different biomaterials in the field compared with more traditional bending tests and opens new possibilities.
14 citations
TL;DR: In this article, the effect of cell architecture on the bending behavior of architected cellular beams subjected to a thermo-mechanical load is investigated, and numerical results demonstrate that tailoring relative density through the thickness of an FGC beam can reduce the lateral deflection of lightweight beams to less than half; consequently, tuning the flexural stiffness of cellular structures without changing their total weight.
Abstract: This article investigates the effect of cell architecture on the bending behavior of architected cellular beams subjected to a thermo-mechanical load. The architected functionally graded cellular (FGC) beam is made of porous cells whose properties vary across the thickness or length of the beam. The FGC beam is modeled according to Reddy's third-order shear deformation theory (TSDT), and the effective thermo-mechanical properties are obtained by standard mechanics homogenization. The governing equations are solved by a finite element method, and deflection curves are presented for the architected cellular beams with relative density gradients, subjected to thermal and mechanical loads. Numerical results demonstrate that tailoring relative density through the thickness of an FGC beam can reduce the lateral deflection of lightweight beams to less than half; consequently, tuning the flexural stiffness of cellular structures without changing their total weight. Interestingly, numerical results reveal that the flexural deformation of an FGC beam subjected to a thermo-mechanical load can be controlled by means of the variation function of cell architectures. We also present the optimized architectural variation and cell topologies leading to the least flexible architected cellular beams for alternative thermo-mechanical loading conditions. This paper sheds light on the application of cellular-based mechanical metamaterials for programming the multifunctional behavior of lightweight meta-structures.
14 citations