Flexural rigidity

About: Flexural rigidity is a research topic. Over the lifetime, 3829 publications have been published within this topic receiving 56780 citations.

Evaluation of Mechanical Properties

Abstract: Mechanical properties such as elastic modulus, fracture stress, and yield stress of nano/micromaterials are fundamental data for practical design of nano/micromaterial-based devices. These properties generally differ from those of bulk material because of size effects. This chapter is devoted to an introduction of some techniques for evaluating the mechanical properties of nanowires and thin wires. In order to clarify the advantages of the techniques that we introduce, the first section gives an overview of typical techniques reported so far. In the subsequent sections, we take up atomic force acoustic microscopy using a concentrated-mass cantilever and a bending method based on the geometrically nonlinear problem on the bent shape, i.e., elastica, for evaluating elastic modulus and bending strength of brittle nanowires. Finally, evaluation of elastic–plastic properties of metallic thin wires is demonstrated by means of unsymmetrical, small-span bending test.

Circular Voided Concrete Slab Stiffnesses

Abstract: Finite element procedures for determining the plate bending stiffnesses of a circular voided slab are presented and the results are compared with those obtained from tests on model elastic voided plates. Preliminary investigations showed that a simplified plane-strain formulation, rather than a more complex general plane-strain formulation, could be used to determine the transverse flexural stiffness. Torsional stiffnesses were obtained from an analysis using the Prandtl stress-function formulation of the torsion problems. Tests were carried out on four epoxy-resin model plates having different void sizes. Good agreement was obtained between the finite element and experimental results. For design purposes, charts are presented which enable a designer of a concrete voided slab, having a Poisson's ratio of 0.2, to determine the values of the plate bending stiffnesses required for a thin plate analysis of such a slab. It is also shown that simple calculations based upon replacing a circular void with an equivalent square void are often adequate for design purposes.

Internal Forces for Statically Indeterminate Structures Having Different Moduli in Tension and Compression

Abstract: When a different tension-compression elastic modulus is introduced into the statically indeterminate structure, the flexural rigidity EI is no longer a constant, which is different from that of classic mechanics, but becomes the function of the internal force, the calculation of the internal force in the structure is a nonlinear problem. In light of this, the formula of internal force in statically indeterminate structures with different moduli has been deduced, the iterative program for calculating nonlinear internal force developed, and examples analyzed. Finally, we put forth reasonable suggestions for calculating this kind of structure and a new idea in optimizing the structures by using different modulus characters. A new and simple analytical-iterative method has been provided for calculating practical engineering problems by using different-modulus theory. This is different from the previous complete numerical solution, which characterizes complex calculation procedure, heavy calculation work, and ...