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  2. Timoshenko–Ehrenfest beam theory - Wikipedia

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

    The Timoshenko–Ehrenfest beam theory was developed by Stephen Timoshenko and Paul Ehrenfest [1] [2] [3] early in the 20th century. [ 4 ] [ 5 ] The model takes into account shear deformation and rotational bending effects, making it suitable for describing the behaviour of thick beams, sandwich composite beams , or beams subject to high ...

  3. Music and mathematics - Wikipedia

    en.wikipedia.org/wiki/Music_and_mathematics

    Music theory analyzes the pitch, timing, and structure of music. It uses mathematics to study elements of music such as tempo , chord progression , form , and meter . The attempt to structure and communicate new ways of composing and hearing music has led to musical applications of set theory , abstract algebra and number theory .

  4. Strain energy - Wikipedia

    en.wikipedia.org/wiki/Strain_energy

    The strain energy in the form of elastic deformation is mostly recoverable in the form of mechanical work. For example, the heat of combustion of cyclopropane (696 kJ/mol) is higher than that of propane (657 kJ/mol) for each additional CH 2 unit. Compounds with unusually large strain energy include tetrahedranes, propellanes, cubane-type ...

  5. Strain (mechanics) - Wikipedia

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

    In mechanics, strain is defined as relative deformation, compared to a reference position configuration. Different equivalent choices may be made for the expression of a strain field depending on whether it is defined with respect to the initial or the final configuration of the body and on whether the metric tensor or its dual is considered.

  6. Bending - Wikipedia

    en.wikipedia.org/wiki/Bending

    Timoshenko improved upon that theory in 1922 by adding the effect of shear into the beam equation. Shear deformations of the normal to the mid-surface of the beam are allowed in the Timoshenko–Rayleigh theory. The equation for the bending of a linear elastic, isotropic, homogeneous beam of constant cross-section under these assumptions is [7 ...

  7. Strength of materials - Wikipedia

    en.wikipedia.org/wiki/Strength_of_materials

    The strength of materials is determined using various methods of calculating the stresses and strains in structural members, such as beams, columns, and shafts. The methods employed to predict the response of a structure under loading and its susceptibility to various failure modes takes into account the properties of the materials such as its yield strength, ultimate strength, Young's modulus ...

  8. How teachers are using Taylor Swift's music to make ... - AOL

    www.aol.com/entertainment/teachers-using-taylor...

    Taylor Swift is inspiring educators across the country to make learning fun — with singalongs, decor and much more. (Getty images; Instagram: @thirdgradethriving)

  9. Stephen Timoshenko - Wikipedia

    en.wikipedia.org/wiki/Stephen_Timoshenko

    Thus it is referred to as Timoshenko-Ehrenfest beam theory. This fact was testified by Timoshenko. [21] The interrelation between Timoshenko-Ehrenfest beam and Euler-Bernoulli beam theory was investigated in the book by Wang, Reddy and Lee. [22] He died in 1972 and his ashes are buried in Alta Mesa Memorial Park, Palo Alto, California.