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  2. Cantilever method - Wikipedia

    en.wikipedia.org/wiki/Cantilever_method

    The cantilever method is an approximate method for calculating shear forces and moments developed in beams and columns of a frame or structure due to lateral loads. The applied lateral loads typically include wind loads and earthquake loads, which must be taken into consideration while designing buildings.

  3. Deflection (engineering) - Wikipedia

    en.wikipedia.org/wiki/Deflection_(engineering)

    In this case, the equation governing the beam's deflection can be approximated as: = () where the second derivative of its deflected shape with respect to (being the horizontal position along the length of the beam) is interpreted as its curvature, is the Young's modulus, is the area moment of inertia of the cross-section, and is the internal ...

  4. Euler–Bernoulli beam theory - Wikipedia

    en.wikipedia.org/wiki/Euler–Bernoulli_beam_theory

    The curve () describes the deflection of the beam in the direction at some position (recall that the beam is modeled as a one-dimensional object). is a distributed load, in other words a force per unit length (analogous to pressure being a force per area); it may be a function of , , or other variables.

  5. Cantilever - Wikipedia

    en.wikipedia.org/wiki/Cantilever

    Like other structural elements, a cantilever can be formed as a beam, plate, truss, or slab. When subjected to a structural load at its far, unsupported end, the cantilever carries the load to the support where it applies a shear stress and a bending moment. [1] Cantilever construction allows overhanging structures without additional support.

  6. Neutral plane - Wikipedia

    en.wikipedia.org/wiki/Neutral_plane

    The property of remaining a constant length under load has been made use of in length metrology. When metal bars were developed as physical standards for length measures, they were calibrated as marks made on a length measured along the neutral plane. This avoided the minuscule changes in length, owing to the bar sagging under its own weight.

  7. Bending of plates - Wikipedia

    en.wikipedia.org/wiki/Bending_of_plates

    The quantity has units of force per unit length. The quantity M {\displaystyle M} has units of moment per unit length. For isotropic , homogeneous , plates with Young's modulus E {\displaystyle E} and Poisson's ratio ν {\displaystyle \nu } these equations reduce to [ 2 ]

  8. Flexural modulus - Wikipedia

    en.wikipedia.org/wiki/Flexural_modulus

    In mechanics, the flexural modulus or bending modulus [1] is an intensive property that is computed as the ratio of stress to strain in flexural deformation, or the tendency for a material to resist bending.

  9. Energy release rate (fracture mechanics) - Wikipedia

    en.wikipedia.org/wiki/Energy_release_rate...

    Double cantilever beam (DCB) specimen under tensile load. J-integral path for the DCB specimen under tensile load. Consider the double cantilever beam specimen shown in the figure, where the crack centered in the beam of height has a length of , and a load is applied to open the crack. Assume that the material is linearly-elastic and that the ...