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  2. Bending moment - Wikipedia

    en.wikipedia.org/wiki/Bending_moment

    Bending moment. Shear and moment diagram for a simply supported beam with a concentrated load at mid-span. In solid mechanics, a bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. [1][2] The most common or simplest structural element subjected ...

  3. Shear and moment diagram - Wikipedia

    en.wikipedia.org/wiki/Shear_and_moment_diagram

    Shear force and bending moment diagrams are analytical tools used in conjunction with structural analysis to help perform structural design by determining the value of shear forces and bending moments at a given point of a structural element such as a beam. These diagrams can be used to easily determine the type, size, and material of a member ...

  4. Influence line - Wikipedia

    en.wikipedia.org/wiki/Influence_line

    The bending moment diagram and the influence line for bending moment at the centre of the left-hand span, B, are shown. In engineering, an influence line graphs the variation of a function (such as the shear, moment etc. felt in a structural member) at a specific point on a beam or truss caused by a unit load placed at any point along the ...

  5. Timoshenko–Ehrenfest beam theory - Wikipedia

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

    The Timoshenko–Ehrenfest beam theory was developed by Stephen Timoshenko and Paul Ehrenfest [1][2][3] early in the 20th century. [4][5] The model takes into account shear deformation and rotational bending effects, making it suitable for describing the behaviour of thick beams, sandwich composite beams, or beams subject to high- frequency ...

  6. Bending - Wikipedia

    en.wikipedia.org/wiki/Bending

    Continuum mechanics. In applied mechanics, bending (also known as flexure) characterizes the behavior of a slender structural element subjected to an external load applied perpendicularly to a longitudinal axis of the element. The structural element is assumed to be such that at least one of its dimensions is a small fraction, typically 1/10 or ...

  7. Material selection - Wikipedia

    en.wikipedia.org/wiki/Material_selection

    Material selection is a step in the process of designing any physical object. In the context of product design, the main goal of material selection is to minimize cost while meeting product performance goals. [1] Systematic selection of the best material for a given application begins with properties and costs of candidate materials.

  8. Theorem of three moments - Wikipedia

    en.wikipedia.org/wiki/Theorem_of_three_moments

    where a 1 is the area on the bending moment diagram due to vertical loads on AB, a 2 is the area due to loads on BC, x 1 is the distance from A to the centroid of the bending moment diagram of beam AB, x 2 is the distance from C to the centroid of the area of the bending moment diagram of beam BC.

  9. Conjugate beam method - Wikipedia

    en.wikipedia.org/wiki/Conjugate_beam_method

    A M/EI diagram is a moment diagram divided by the beam's Young's modulus and moment of inertia. To make use of this comparison we will now consider a beam having the same length as the real beam, but referred here as the "conjugate beam." The conjugate beam is "loaded" with the M/EI diagram derived from the load on the real beam.

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