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010   $a3-031-66174-5
024 7 $a10.1007/978-3-031-66174-7
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035   $a(DE-He213)978-3-031-66174-7
035   $a(EXLCZ)9934975853200041
100   $a20240909d2024      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aAlgebraic Equations of Linear Elasticity $eNovel Force-based Methods for Solid Mechanics with MATLABŪ /$fby Lester W. Schmerr Jr
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024.
215   $a1 online resource (224 pages)
311 08$a3-031-66173-7 
327   $aIntroduction -- Algebraic Equations of Linear Elasticity -- Force-Based Methods in Statics -- Force-Based Methods in Strength of Materials -- Force-Based Methods in Advanced Strength of Materials -- Force-Based and Displacement-Based Finite Elements.
330   $aThis book describes a second-generation force-based method emerging from a general formulation where the partial differential equations of elasticity are replaced by equivalent algebraic equations. These algebraic equations of linear elasticity can be used to solve statically indeterminate problems in reduced forms that define either the new second-generation force-based approach or a new displacement-based approach. The new force-based method can serve as the basis for teaching students at many technical levels how to solve equilibrium problems directly for the forces present. In elasticity courses, the derivation and use of the algebraic equations of linear elasticity can show how the difficulties of dealing with partial differential equations may be avoided by transforming those equations into algebraic equations with work-energy concepts. In a finite element course, a force-based finite element method can be described along with the traditional displacement-based approach to demonstrate how the two methods provide alternative ways for solving complex structural problems. Serving as a resource for including second-generation force-based methods in solid mechanics courses of an engineering curriculum, and as a robust learning resource, the book is ideal for instructors and for students, practicing engineers, and researchers. Includes separate chapters for statics, strength of materials, advanced strength of materials, and finite elements Incorporates MATLAB for students to implement second-generation force-based methods at many levels within the curriculum Derives the algebraic equations of linear elasticity and uses them to develop the second-generation force-based method.
606   $aMechanics, Applied
606   $aSolids
606   $aStatics
606   $aContinuum mechanics
606   $aMaterials$xAnalysis
606   $aMechanics
606   $aSolid Mechanics
606   $aMechanical Statics and Structures
606   $aEngineering Mechanics
606   $aContinuum Mechanics
606   $aCharacterization and Analytical Technique
606   $aClassical Mechanics
615  0$aMechanics, Applied.
615  0$aSolids.
615  0$aStatics.
615  0$aContinuum mechanics.
615  0$aMaterials$xAnalysis.
615  0$aMechanics.
615 14$aSolid Mechanics.
615 24$aMechanical Statics and Structures.
615 24$aEngineering Mechanics.
615 24$aContinuum Mechanics.
615 24$aCharacterization and Analytical Technique.
615 24$aClassical Mechanics.
676   $a512.5
700   $aSchmerr$b Lester W.$cJr.,$0739774
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910886989603321
996   $aAlgebraic Equations of Linear Elasticity$94430264
997   $aUNINA