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  2. Bending - Wikipedia

    en.wikipedia.org/wiki/Bending

    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 less, of the other ...

  3. Bending moment - Wikipedia

    en.wikipedia.org/wiki/Bending_moment

    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 to bending moments is the beam .

  4. Structural engineering theory - Wikipedia

    en.wikipedia.org/wiki/Structural_engineering_theory

    Loads imposed on structures are supported by means of forces transmitted through structural elements. These forces can manifest themselves as tension (axial force), compression (axial force), shear, and bending, or flexure (a bending moment is a force multiplied by a distance, or lever arm, hence producing a turning effect or torque).

  5. Beam (structure) - Wikipedia

    en.wikipedia.org/wiki/Beam_(structure)

    A statically determinate beam, bending (sagging) under a uniformly distributed load. A beam is a structural element that primarily resists loads applied laterally across the beam's axis (an element designed to carry a load pushing parallel to its axis would be a strut or column).

  6. Shear and moment diagram - Wikipedia

    en.wikipedia.org/wiki/Shear_and_moment_diagram

    Shear and Bending moment diagram for a simply supported beam with a concentrated load at mid-span. 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.

  7. Bending of plates - Wikipedia

    en.wikipedia.org/wiki/Bending_of_plates

    Bending of plates, or plate bending, refers to the deflection of a plate perpendicular to the plane of the plate under the action of external forces and moments. The amount of deflection can be determined by solving the differential equations of an appropriate plate theory. The stresses in the plate can be calculated from these deflections.

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  9. Euler–Bernoulli beam theory - Wikipedia

    en.wikipedia.org/wiki/Euler–Bernoulli_beam_theory

    For small deflections, the element does not change its length after bending but deforms into an arc of a circle of radius . If d θ {\displaystyle \mathrm {d} \theta } is the angle subtended by this arc, then d x = ρ d θ {\displaystyle \mathrm {d} x=\rho ~\mathrm {d} \theta } .