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001437107 001__ 1437107
001437107 003__ OCoLC
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001437107 019__ $$a1262675324
001437107 020__ $$a9783030498405$$q(electronic bk.)
001437107 020__ $$a3030498409$$q(electronic bk.)
001437107 020__ $$a3030498395
001437107 020__ $$a9783030498399
001437107 020__ $$a9783030498412$$q(print)
001437107 020__ $$a3030498417
001437107 020__ $$a9783030498429$$q(print)
001437107 020__ $$a3030498425
001437107 020__ $$z9783030498399
001437107 0247_ $$a10.1007/978-3-030-49840-5$$2doi
001437107 035__ $$aSP(OCoLC)1255223599
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001437107 049__ $$aISEA
001437107 050_4 $$aTA645
001437107 08204 $$a624.1/7$$223
001437107 1001_ $$aWerkle, Horst.
001437107 24510 $$aFinite elements in structural analysis :$$btheoretical concepts and modeling procedures in statics and dynamics of structures /$$cHorst Werkle.
001437107 264_1 $$aCham :$$bSpringer,$$c2021.
001437107 300__ $$a1 online resource (716 pages)
001437107 336__ $$atext$$btxt$$2rdacontent
001437107 337__ $$acomputer$$bc$$2rdamedia
001437107 338__ $$aonline resource$$bcr$$2rdacarrier
001437107 347__ $$atext file
001437107 347__ $$bPDF
001437107 4901_ $$aSpringer Tracts in Civil Engineering
001437107 500__ $$a4.5.3 Nonconforming Elements.
001437107 5050_ $$aIntro -- Preface -- Contents -- 1 Mathematical Background -- 1.1 Introduction -- 1.2 Matrices and Vectors -- 1.3 Matrix Algebra -- 1.3.1 Addition and Subtraction -- 1.3.2 Multiplication -- 1.3.3 Inverse of a Matrix -- 1.4 Linear Systems of Equations -- 1.4.1 Inhomogeneous and Homogeneous Systems of Equations -- 1.4.2 Existence of Solutions -- 1.4.3 Numerical Solution Methods -- 1.4.4 Norms and Condition Number -- 1.5 Eigenvalue Problems -- 1.5.1 General Eigenvalue Problem -- 1.5.2 Numerical Solution of Eigenvalue Problems -- Exercises -- References
001437107 5058_ $$a2 Basic Equations of the Theory of Elasticity -- 2.1 Types of Structures -- 2.2 One-Dimensional and Two-Dimensional States of Stress -- 2.3 Beams and Plates in Bending -- 2.4 Spatial Structures -- 2.4.1 Generals -- 2.4.2 Beams -- 2.4.3 Solids -- References -- 3 Truss and Beam Structures -- 3.1 Introduction -- 3.1.1 The Finite Element Method in Structural Analysis -- 3.1.2 Nodal Points, Degrees of Freedom, and Finite Elements -- 3.1.3 Computational Method -- 3.2 Introductory Example: Plane Truss System -- 3.2.1 Structural System -- 3.2.2 Element Stiffness Matrix of a Truss Element
001437107 5058_ $$a3.2.3 Coordinate Transformation -- 3.2.4 Global Stiffness Matrix -- 3.2.5 Support Conditions -- 3.2.6 Solution of the System of Equations -- 3.2.7 Support Forces and Element Stresses -- 3.2.8 Flexibility Matrix -- 3.3 Elastic Springs -- 3.3.1 Elastic Support of Nodal Points -- 3.3.2 Spring Elements -- 3.4 Beams in Bending -- 3.4.1 Stiffness Matrix of the Beam Element -- 3.4.2 Element Loads -- 3.4.3 Extension of the Stiffness Matrix of the Beam Element -- 3.4.4 Coordinate Transformation -- 3.4.5 Hinges -- 3.5 Combined Beam and Truss Systems -- 3.6 Spatial Trusses and Beam Structures
001437107 5058_ $$a3.6.1 3D Truss Element -- 3.6.2 3D Beam Element -- 3.6.3 Beam Element with Warping Torsion -- 3.7 Modeling of Beam Structures -- 3.7.1 Supports -- 3.7.2 Springs -- 3.7.3 Beam Structures -- 3.7.4 Symmetrical Structures -- 3.8 Quality Assurance and Documentation -- 3.8.1 Sources of Error -- 3.8.2 Checking of Beam Structures Computations -- 3.8.3 Documentation of Finite Element Analyses -- Exercises -- References -- 4 Plate, Shell, and Solid Structures -- 4.1 Historical Background -- 4.2 Basic Concepts -- 4.3 Approximation Character of the Finite Element Method
001437107 5058_ $$a4.3.1 One-Dimensional Introductory Example -- 4.3.2 Analytical Solution -- 4.3.3 FEM Approximate Solution with Linear Shape Functions -- 4.3.4 FEM Approximate Solution with Quadratic Shape Functions -- 4.3.5 Properties of the Finite Element Approximate Solution -- 4.4 Rectangular Elements for Plates in Plane Stress -- 4.4.1 Shape Functions -- 4.4.2 Strains and Stresses -- 4.4.3 Stiffness Matrix -- 4.4.4 Element Loads -- 4.4.5 Examples -- 4.5 Finite Elements for Plates in Plane Stress -- 4.5.1 Properties of Finite Elements -- 4.5.2 Displacement-Based Elements with Compatible Shape Functions
001437107 506__ $$aAccess limited to authorized users.
001437107 520__ $$aThe book introduces the basic concepts of the finite element method in the static and dynamic analysis of beam, plate, shell and solid structures, discussing how the method works, the characteristics of a finite element approximation and how to avoid the pitfalls of finite element modeling. Presenting the finite element theory as simply as possible, the book allows readers to gain the knowledge required when applying powerful FEA software tools. Further, it describes modeling procedures, especially for reinforced concrete structures, as well as structural dynamics methods, with a particular focus on the seismic analysis of buildings, and explores the modeling of dynamic systems. Featuring numerous illustrative examples, the book allows readers to easily grasp the fundamentals of the finite element theory and to apply the finite element method proficiently.
001437107 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 7, 2021).
001437107 650_0 $$aStructural analysis (Engineering)$$xMathematics.
001437107 650_0 $$aFinite element method.
001437107 650_6 $$aThéorie des constructions$$xMathématiques.
001437107 650_6 $$aMéthode des éléments finis.
001437107 655_0 $$aElectronic books.
001437107 77608 $$iPrint version:$$aWerkle, Horst.$$tFinite Elements in Structural Analysis.$$dCham : Springer International Publishing AG, ©2021$$z9783030498399
001437107 830_0 $$aSpringer tracts in civil engineering.
001437107 852__ $$bebk
001437107 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-49840-5$$zOnline Access$$91397441.1
001437107 909CO $$ooai:library.usi.edu:1437107$$pGLOBAL_SET
001437107 980__ $$aBIB
001437107 980__ $$aEBOOK
001437107 982__ $$aEbook
001437107 983__ $$aOnline
001437107 994__ $$a92$$bISE