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  2. Buckling - Wikipedia

    en.wikipedia.org/wiki/Buckling

    Buckling may occur even though the stresses that develop in the structure are well below those needed to cause failure in the material of which the structure is composed. . Further loading may cause significant and somewhat unpredictable deformations, possibly leading to complete loss of the member's load-carrying capac

  3. Stress (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Stress_(mechanics)

    The same for normal viscous stresses can be found in Sharma (2019). [12] The relation between stress and its effects and causes, including deformation and rate of change of deformation, can be quite complicated (although a linear approximation may be adequate in practice if the quantities

  4. Timoshenko–Ehrenfest beam theory - Wikipedia

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

    Physically, taking into account the added mechanisms of deformation effectively lowers the stiffness of the beam, while the result is a larger deflection under a static load and lower predicted eigenfrequencies for a given set of boundary conditions. The latter effect is more noticeable for higher frequencies as the wavelength becomes shorter ...

  5. Euler–Bernoulli beam theory - Wikipedia

    en.wikipedia.org/wiki/Euler–Bernoulli_beam_theory

    It changes sign in the middle of the beam. The bending moment varies linearly from one end, where it is 0, and the center where its absolute value is PL / 4, is where the risk of rupture is the most important. The deformation of the beam is described by a polynomial of third degree over a half beam (the other half being symmetrical).

  6. Johnson's parabolic formula - Wikipedia

    en.wikipedia.org/wiki/Johnson's_parabolic_formula

    The slenderness ratio is an indicator of the specimen's resistance to bending and buckling, due to its length and cross section. If the slenderness ratio is less than the critical slenderness ratio, the column is considered to be a short column. In these cases, the Johnson parabola is more applicable than the Euler formula. [5]

  7. Material failure theory - Wikipedia

    en.wikipedia.org/wiki/Material_failure_theory

    The yield surface of a ductile material usually changes as the material experiences increased deformation. Models for the evolution of the yield surface with increasing strain, temperature, and strain rate are used in conjunction with the above failure criteria for isotropic hardening, kinematic hardening, and viscoplasticity. Some such models are:

  8. Structural load - Wikipedia

    en.wikipedia.org/wiki/Structural_load

    [1] [2] A load causes stress, deformation, displacement or acceleration in a structure. Structural analysis, a discipline in engineering, analyzes the effects of loads on structures and structural elements. Excess load may cause structural failure, so this should be considered and controlled during the design of a structure.

  9. Strength of materials - Wikipedia

    en.wikipedia.org/wiki/Strength_of_materials

    Strain, or reduced deformation, is a mathematical term that expresses the trend of the deformation change among the material field. Strain is the deformation per unit length. [ 9 ] In the case of uniaxial loading the displacement of a specimen (for example, a bar element) lead to a calculation of strain expressed as the quotient of the ...