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  2. Neutral plane - Wikipedia

    en.wikipedia.org/wiki/Neutral_plane

    The neutral plane is the surface within the beam between these zones, where the material of the beam is not under stress, either compression or tension. [ 1 ] As there is no lengthwise stress force on the neutral plane, there is no strain or extension either: when the beam bends, the length of the neutral plane remains constant.

  3. Moment-area theorem - Wikipedia

    en.wikipedia.org/wiki/Moment-Area_Theorem

    The following procedure provides a method that may be used to determine the displacement and slope at a point on the elastic curve of a beam using the moment-area theorem. Determine the reaction forces of a structure and draw the M/EI diagram of the structure.

  4. Finite element method in structural mechanics - Wikipedia

    en.wikipedia.org/wiki/Finite_element_method_in...

    The cross-section of the elements are similar to the previously described types: one-dimensional for thin plates and shells, and two-dimensional for solids, thick plates and shells. Three-dimensional elements for modeling 3-D solids such as machine components, dams, embankments or soil masses. Common element shapes include tetrahedrals and ...

  5. Plate theory - Wikipedia

    en.wikipedia.org/wiki/Plate_theory

    The typical thickness to width ratio of a plate structure is less than 0.1. [citation needed] A plate theory takes advantage of this disparity in length scale to reduce the full three-dimensional solid mechanics problem to a two-dimensional problem. The aim of plate theory is to calculate the deformation and stresses in a plate subjected to loads.

  6. Timoshenko–Ehrenfest beam theory - Wikipedia

    en.wikipedia.org/wiki/Timoshenko–Ehrenfest_beam...

    The two equations that describe the deformation of a Timoshenko beam have to be augmented with boundary conditions if they are to be solved. Four boundary conditions are needed for the problem to be well-posed. Typical boundary conditions are: Simply supported beams: The displacement is

  7. Gaussian beam - Wikipedia

    en.wikipedia.org/wiki/Gaussian_beam

    The equations below assume a beam with a circular cross-section at all values of z; this can be seen by noting that a single transverse dimension, r, appears.Beams with elliptical cross-sections, or with waists at different positions in z for the two transverse dimensions (astigmatic beams) can also be described as Gaussian beams, but with distinct values of w 0 and of the z = 0 location for ...

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  9. Bragg peak - Wikipedia

    en.wikipedia.org/wiki/Bragg_peak

    The Bragg curve of 5.49 MeV alphas in air has its peak to the right and is skewed to the left, unlike the x-ray beam below.. The Bragg peak is a pronounced peak on the Bragg curve which plots the energy loss of ionizing radiation during its travel through matter.