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10.1098/rspa.2018.0001 http://scihub22266oqcxt.onion/10.1098/rspa.2018.0001 C6030651!6030651!29977129     free     free     free Deprecated: Implicit conversion from float 211.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534       Proc+Math+Phys+Eng+Sci 2018 ; 474 (2214): ä Nephropedia Template TP {{tp|p=29977129|t=2018. An asymptotic higher-order theory for rectangular beams |pdf=|usr=}}{{29977129}} gab.com Text An asymptotic higher-order theory for rectangular beams JO: Proc Math Phys Eng Sci http://www.kidney.de/pget.php?&tw=1&pmid=29977129 #FOAvip A direct asymptotic integration of the full three-dimensional problem of elasticity is employed to derive a consistent governing equation for a beam with the rectangular cross section. The governing equation is consistent in the sense that it has the same long-wave low-frequency behaviour as the exact solution of the original three-dimensional problem. Performance of the new beam equation is illustrated by comparing its predictions against the results of direct finite-element computations. Limiting behaviours for beams with large (and small) aspect ratios, which can be established using classical plate theories, are recovered from the new governing equation to illustrate its consistency and also to illustrate the importance of using plate theories with the correctly refined boundary conditions. The implications for the correct choice of the shear correction factor in Timoshenko's beam theory are also discussed. Twit Text FOAVip An asymptotic higher-order theory for rectangular beams ????Proc Math Phys Eng Sci http://www.kidney.de/pget.php?&tw=1&pmid=29977129 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=29977129 #FOAvip English Wikipedia <ref>{{Cite pmid|29977129}}</ref> An asymptotic higher-order theory for rectangular beams #MMPMID29977129 Nolde E; Pichugin AV; Kaplunov J Proc Math Phys Eng Sci 2018[Jun]; 474 (2214): ä PMID29977129show ga A direct asymptotic integration of the full three-dimensional problem of elasticity is employed to derive a consistent governing equation for a beam with the rectangular cross section. The governing equation is consistent in the sense that it has the same long-wave low-frequency behaviour as the exact solution of the original three-dimensional problem. Performance of the new beam equation is illustrated by comparing its predictions against the results of direct finite-element computations. Limiting behaviours for beams with large (and small) aspect ratios, which can be established using classical plate theories, are recovered from the new governing equation to illustrate its consistency and also to illustrate the importance of using plate theories with the correctly refined boundary conditions. The implications for the correct choice of the shear correction factor in Timoshenko's beam theory are also discussed. äAn asymptotic higher-order theory for rectangular beams (epmc).pdf DeepDyve Pubget Overpricing