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  2. von Mises yield criterion - Wikipedia

    en.wikipedia.org/wiki/Von_Mises_yield_criterion

    As shown later in this article, at the onset of yielding, the magnitude of the shear yield stress in pure shear is √3 times lower than the tensile yield stress in the case of simple tension. Thus, we have: = where is tensile yield strength of the material. If we set the von Mises stress equal to the yield strength and combine the above ...

  3. Yield (engineering) - Wikipedia

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

    The yield strength or yield stress is a material property and is the stress corresponding to the yield point at which the material begins to deform plastically. The yield strength is often used to determine the maximum allowable load in a mechanical component, since it represents the upper limit to forces that can be applied without producing ...

  4. Johnson's parabolic formula - Wikipedia

    en.wikipedia.org/wiki/Johnson's_parabolic_formula

    In structural engineering, Johnson's parabolic formula is an empirically based equation for calculating the critical buckling stress of a column. The formula is based on experimental results by J. B. Johnson from around 1900 as an alternative to Euler's critical load formula under low slenderness ratio (the ratio of radius of gyration to ...

  5. Euler's critical load - Wikipedia

    en.wikipedia.org/wiki/Euler's_critical_load

    Fig. 1: Critical stress vs slenderness ratio for steel, for E = 200 GPa, yield strength = 240 MPa. Euler's critical load or Euler's buckling load is the compressive load at which a slender column will suddenly bend or buckle. It is given by the formula: [1] = where

  6. Strength of materials - Wikipedia

    en.wikipedia.org/wiki/Strength_of_materials

    Volume, modulus of elasticity, distribution of forces, and yield strength affect the impact strength of a material. In order for a material or object to have a high impact strength, the stresses must be distributed evenly throughout the object. It also must have a large volume with a low modulus of elasticity and a high material yield strength. [7]

  7. Yield surface - Wikipedia

    en.wikipedia.org/wiki/Yield_surface

    The yield surface is usually expressed in terms of (and visualized in) a three-dimensional principal stress space (,,), a two- or three-dimensional space spanned by stress invariants (,,) or a version of the three-dimensional Haigh–Westergaard stress space. Thus we may write the equation of the yield surface (that is, the yield function) in ...

  8. Stress–strain analysis - Wikipedia

    en.wikipedia.org/wiki/Stress–strain_analysis

    The stress (or load, or deflection) the structure is expected to experience are known as the working, the design or limit stress. The limit stress, for example, is chosen to be some fraction of the yield strength of the material from which the structure is made. The ratio of the ultimate strength of the material to the allowable stress is ...

  9. Hill yield criterion - Wikipedia

    en.wikipedia.org/wiki/Hill_yield_criterion

    The quadratic Hill yield criterion for thin rolled plates (plane stress conditions) can be expressed as + (+) (+) + = where the principal stresses , are assumed to be aligned with the axes of anisotropy with in the rolling direction and perpendicular to the rolling direction, =, is the R-value in the rolling direction, and is the R-value perpendicular to the rolling direction.