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  2. Section modulus - Wikipedia

    en.wikipedia.org/wiki/Section_modulus

    Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members. Other geometric properties used in design include area for tension and shear, radius of gyration for compression, and second moment of area and polar second moment of area for stiffness. Any relationship between these properties is ...

  3. Elastic modulus - Wikipedia

    en.wikipedia.org/wiki/Elastic_modulus

    Young's modulus ( E) describes tensile and compressive elasticity, or the tendency of an object to deform along an axis when opposing forces are applied along that axis; it is defined as the ratio of tensile stress to tensile strain. It is often referred to simply as the elastic modulus.

  4. Elasticity tensor - Wikipedia

    en.wikipedia.org/wiki/Elasticity_tensor

    Elasticity tensor. The elasticity tensor is a fourth-rank tensor describing the stress-strain relation in a linear elastic material. [ 1][ 2] Other names are elastic modulus tensor and stiffness tensor. Common symbols include and . The defining equation can be written as. where and are the components of the Cauchy stress tensor and ...

  5. Linear elasticity - Wikipedia

    en.wikipedia.org/wiki/Linear_elasticity

    Linear elasticity is a mathematical model of how solid objects deform and become internally stressed by prescribed loading conditions. It is a simplification of the more general nonlinear theory of elasticity and a branch of continuum mechanics . The fundamental "linearizing" assumptions of linear elasticity are: infinitesimal strains or "small ...

  6. Shear modulus - Wikipedia

    en.wikipedia.org/wiki/Shear_modulus

    The shear modulus is one of several quantities for measuring the stiffness of materials. All of them arise in the generalized Hooke's law: . Young's modulus E describes the material's strain response to uniaxial stress in the direction of this stress (like pulling on the ends of a wire or putting a weight on top of a column, with the wire getting longer and the column losing height),

  7. Dynamic modulus - Wikipedia

    en.wikipedia.org/wiki/Dynamic_modulus

    Dynamic modulus. Dynamic modulus (sometimes complex modulus[ 1]) is the ratio of stress to strain under vibratory conditions (calculated from data obtained from either free or forced vibration tests, in shear, compression, or elongation). It is a property of viscoelastic materials.

  8. Modular arithmetic - Wikipedia

    en.wikipedia.org/wiki/Modular_arithmetic

    Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones ...

  9. Luhn algorithm - Wikipedia

    en.wikipedia.org/wiki/Luhn_algorithm

    Luhn algorithm. The Luhn algorithm or Luhn formula, also known as the " modulus 10" or "mod 10" algorithm, named after its creator, IBM scientist Hans Peter Luhn, is a simple check digit formula used to validate a variety of identification numbers. It is described in US patent 2950048A, granted on 23 August 1960. [ 1]

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