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020 _a9783031661747
_9978-3-031-66174-7
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aSCI096000
_2bisacsh
072 7 _aTGMD
_2thema
082 0 4 _a620.105
_223
100 1 _aSchmerr Jr., Lester W.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aAlgebraic Equations of Linear Elasticity
_h[electronic resource] :
_bNovel Force-based Methods for Solid Mechanics with MATLAB® /
_cby Lester W. Schmerr Jr.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXI, 218 p. 94 illus., 2 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _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.
520 _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.
541 _fUABC ;
_cPerpetuidad
650 0 _aMechanics, Applied.
650 0 _aSolids.
650 0 _aStatics.
650 0 _aContinuum mechanics.
650 0 _aMaterials
_xAnalysis.
650 0 _aMechanics.
650 1 4 _aSolid Mechanics.
650 2 4 _aMechanical Statics and Structures.
650 2 4 _aEngineering Mechanics.
650 2 4 _aContinuum Mechanics.
650 2 4 _aCharacterization and Analytical Technique.
650 2 4 _aClassical Mechanics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031661730
776 0 8 _iPrinted edition:
_z9783031661754
776 0 8 _iPrinted edition:
_z9783031661761
856 4 0 _zLibro electrónico
_uhttp://libcon.rec.uabc.mx:2048/login?url=https://doi.org/10.1007/978-3-031-66174-7
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cLIBRO_ELEC
999 _c276340
_d276339