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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 ...
Download as PDF; Printable version; ... (also called mechanics of materials) ... An important founding pioneer in mechanics of materials was Stephen Timoshenko.
Jacob Pieter Den Hartog, who was Timoshenko's co-worker in the early 1920s at Westinghouse, wrote a review in the magazine Science [20] stating that "between 1922 and 1962 he [S.P. Timoshenko] wrote a dozen books on all aspects of engineering mechanics, which are in their third or fourth U.S. edition and which have been translated into half a ...
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 ...
For thin beams (beam length to thickness ratios of the order 20 or more) these effects are of minor importance. For thick beams, however, these effects can be significant. More advanced beam theories such as the Timoshenko beam theory (developed by the Russian-born scientist Stephen Timoshenko) have been developed to account for these effects.
Solid mechanics (also known as mechanics of solids) is the branch of continuum mechanics that studies the behavior of solid materials, especially their motion and deformation under the action of forces, temperature changes, phase changes, and other external or internal agents.
Shear and Bending moment diagram for a simply supported beam with a concentrated load at mid-span. Shear force and bending moment diagrams are analytical tools used in conjunction with structural analysis to help perform structural design by determining the value of shear forces and bending moments at a given point of a structural element such as a beam.
Bernard Budiansky (/ b ʌ d i ˈ æ n s k i /; 8 March 1925 – 23 January 1999) was an American scholar in the field of applied mechanics, and made seminal contributions to the mechanics of structures and mechanics of materials. [1] [2] He was a recipient of the Timoshenko Medal.
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