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  2. Bending of plates - Wikipedia

    en.wikipedia.org/wiki/Bending_of_plates

    For rectangular plates, Navier in 1820 introduced a simple method for finding the displacement and stress when a plate is simply supported. The idea was to express the applied load in terms of Fourier components, find the solution for a sinusoidal load (a single Fourier component), and then superimpose the Fourier components to get the solution ...

  3. Plate theory - Wikipedia

    en.wikipedia.org/wiki/Plate_theory

    The aim of plate theory is to calculate the deformation and stresses in a plate subjected to loads. Of the numerous plate theories that have been developed since the late 19th century, two are widely accepted and used in engineering. These are the Kirchhoff–Love theory of plates (classical plate theory)

  4. Four-point flexural test - Wikipedia

    en.wikipedia.org/wiki/Four-point_flexural_test

    The four-point flexural test provides values for the modulus of elasticity in bending, flexural stress, flexural strain and the flexural stress-strain response of the material. This test is very similar to the three-point bending flexural test .

  5. Stress resultants - Wikipedia

    en.wikipedia.org/wiki/Stress_resultants

    Stress resultants are simplified representations of the stress state in structural elements such as beams, plates, or shells. [1] The geometry of typical structural elements allows the internal stress state to be simplified because of the existence of a "thickness'" direction in which the size of the element is much smaller than in other directions.

  6. Bending - Wikipedia

    en.wikipedia.org/wiki/Bending

    Deformation of a thin plate highlighting the displacement, the mid-surface (red) and the normal to the mid-surface (blue) The defining feature of beams is that one of the dimensions is much larger than the other two. A structure is called a plate when it is flat and one of its dimensions is much smaller than the other two. There are several ...

  7. Roark's Formulas for Stress and Strain - Wikipedia

    en.wikipedia.org/wiki/Roark's_Formulas_for_Stress...

    The book covers various subjects, including bearing and shear stress, experimental stress analysis, stress concentrations, material behavior, and stress and strain measurement. It also features expanded tables and cases, improved notations and figures within the tables, consistent table and equation numbering, and verification of correction ...

  8. Plane stress - Wikipedia

    en.wikipedia.org/wiki/Plane_stress

    Figure 7.1 Plane stress state in a continuum. In continuum mechanics, a material is said to be under plane stress if the stress vector is zero across a particular plane. When that situation occurs over an entire element of a structure, as is often the case for thin plates, the stress analysis is considerably simplified, as the stress state can be represented by a tensor of dimension 2 ...

  9. Three-point flexural test - Wikipedia

    en.wikipedia.org/wiki/Three-point_flexural_test

    The three-point bending flexural test provides values for the modulus of elasticity in bending, flexural stress, flexural strain and the flexural stress–strain response of the material. This test is performed on a universal testing machine (tensile testing machine or tensile tester) with a three-point or four-point bend fixture.