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  2. Euler's critical load - Wikipedia

    en.wikipedia.org/wiki/Euler's_critical_load

    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. P c r {\displaystyle P_ {cr}} , Euler's critical load (longitudinal compression load on column), E {\displaystyle E} , Young's modulus of the column material, I {\displaystyle I ...

  3. Buckling - Wikipedia

    en.wikipedia.org/wiki/Buckling

    Buckling is a failure mode in pavement materials, primarily with concrete, since asphalt is more flexible. Radiant heat from the sun is absorbed in the road surface, causing it to expand, forcing adjacent pieces to push against each other. If the stress is sufficient, the pavement can lift and crack without warning.

  4. Johnson's parabolic formula - Wikipedia

    en.wikipedia.org/wiki/Johnson's_parabolic_formula

    The Johnson parabola creates a new region of failure. 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 ...

  5. Strength of materials - Wikipedia

    en.wikipedia.org/wiki/Strength_of_materials

    In the mechanics of materials, the strength of a material is its ability to withstand an applied load without failure or plastic deformation. The field of strength of materials deals with forces and deformations that result from their acting on a material. A load applied to a mechanical member will induce internal forces within the member ...

  6. Universal testing machine - Wikipedia

    en.wikipedia.org/wiki/Universal_testing_machine

    Typical lectromechanical Universal Testing Machine Test fixture for three point flex test. A universal testing machine (UTM), also known as a universal tester, [1] universal tensile machine, materials testing machine, materials test frame, is used to test the tensile strength (pulling) and compressive strength (pushing), flexural strength, bending, shear, hardness, and torsion testing ...

  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] The technique can be used for nondestructive testing of any structural elements that may fail ...

  8. Euler–Bernoulli beam theory - Wikipedia

    en.wikipedia.org/wiki/Euler–Bernoulli_beam_theory

    Euler–Bernoulli beam theory (also known as engineer's beam theory or classical beam theory) [1] is a simplification of the linear theory of elasticity which provides a means of calculating the load-carrying and deflection characteristics of beams. It covers the case corresponding to small deflections of a beam that is subjected to lateral ...

  9. 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: with. where: Robertson then proposed that , where represents ...