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  2. Euler's critical load - Wikipedia

    en.wikipedia.org/wiki/Euler's_critical_load

    The following assumptions are made while deriving Euler's formula: [3] The material of the column is homogeneous and isotropic. The compressive load on the column is axial only. The column is free from initial stress. The weight of the column is neglected. The column is initially straight (no eccentricity of the axial load).

  3. Geometric and material buckling - Wikipedia

    en.wikipedia.org/.../Geometric_and_Material_Buckling

    Geometric buckling is a measure of neutron leakage and material buckling is a measure of the difference between neutron production and neutron absorption. [1] When nuclear fission occurs inside of a nuclear reactor, neutrons are produced. [1] These neutrons then, to state it simply, either react with the fuel in the reactor or escape from the ...

  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. Perry–Robertson formula - Wikipedia

    en.wikipedia.org/wiki/Perry–Robertson_formula

    The Perry–Robertson formula is a mathematical formula which is able to produce a good approximation of buckling loads in long slender columns or struts, and is the basis for the buckling formulation adopted in EN 1993. The formula in question can be expressed in the following form:

  6. Buckling - Wikipedia

    en.wikipedia.org/wiki/Buckling

    These four forms of elastic buckling are the saddle-node bifurcation or limit point; the supercritical or stable-symmetric bifurcation; the subcritical or unstable-symmetric bifurcation; and the transcritical or asymmetric bifurcation. All but the first of these examples is a form of pitchfork bifurcation. Simple models for each of these types ...

  7. Southwell plot - Wikipedia

    en.wikipedia.org/wiki/Southwell_plot

    Southwell Plot constructed from a straight line fitted to experimental data points. The Southwell plot is a graphical method of determining experimentally a structure's critical load, without needing to subject the structure to near-critical loads. [1]

  8. Strength of materials - Wikipedia

    en.wikipedia.org/wiki/Strength_of_materials

    The calculated buckling load of the member may be compared to the applied load. The calculated stiffness and mass distribution of the member may be used to calculate the member's dynamic response and then compared to the acoustic environment in which it will be used.

  9. Solid mechanics - Wikipedia

    en.wikipedia.org/wiki/Solid_mechanics

    A solid is a material that can support a substantial amount of shearing force over a given time scale during a natural or industrial process or action. This is what distinguishes solids from fluids, because fluids also support normal forces which are those forces that are directed perpendicular to the material plane across from which they act and normal stress is the normal force per unit area ...