03710nam a22005055i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153072001700167072002300184072001600207100008400223245015900307250001800466264006900484300006300553336002600616337002600642338003600668347002400704505025500728520170900983650002402692650001202716650001302728650002502741650002502766650001502791650002102806650003902827650002702866650002502893650004702918650002502965710003402990773002603024776003603050776003603086776003603122856004603158978-3-031-66174-7DE-He21320251030112945.0cr nn 008mamaa240909s2024    sz |    s    |||| 0|eng d  a97830316617477 a10.1007/978-3-031-66174-72doi 4aTA349-359 7aTGMD2bicssc 7aSCI0960002bisacsh 7aTGMD2thema1 aSchmerr Jr., Lester W.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aAlgebraic Equations of Linear Elasticityh[electronic resource] :bNovel Force-based Methods for Solid Mechanics with MATLAB® /cby Lester W. Schmerr Jr.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXI, 218 p. 94 illus., 2 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 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.  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. 0aMechanics, Applied. 0aSolids. 0aStatics. 0aContinuum mechanics. 0aMaterialsxAnalysis. 0aMechanics.14aSolid Mechanics.24aMechanical Statics and Structures.24aEngineering Mechanics.24aContinuum Mechanics.24aCharacterization and Analytical Technique.24aClassical Mechanics.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303166173008iPrinted edition:z978303166175408iPrinted edition:z978303166176140uhttps://doi.org/10.1007/978-3-031-66174-7