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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 ...
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 ...
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 ...
In this drawing, the red outline (Euler-Bernoulli, perpendicular section remains perpendicular after bending) is correct. However, Timoshenko's theory taking into account the longitudinal shear of a beam, the blue outline should be on the other side: The top fibre of the beam is longer in Timoshenko's theory than in Euler-Bernoulli theory, not ...
When you think of “gory” animals, creatures like great white sharks, tigers, and vampire bats might come to mind. But the most gruesome defense mechanism of any animal belongs to something ...
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The biggest contract in professional sports history is only the prelude to a wild winter of spending. With Juan Soto, Major League Baseball's No. 1 free agent, off the board thanks to a 15-year ...
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.