LEADER 05385nam 2200673 a 450 001 9910141260503321 005 20170814165031.0 010 $a3-433-60126-7 010 $a1-280-66281-6 010 $a9786613639745 010 $a3-433-60125-9 010 $a3-433-60077-5 035 $a(CKB)2670000000176991 035 $a(EBL)698155 035 $a(OCoLC)787842338 035 $a(SSID)ssj0000622324 035 $a(PQKBManifestationID)11385804 035 $a(PQKBTitleCode)TC0000622324 035 $a(PQKBWorkID)10637773 035 $a(PQKB)11395645 035 $a(MiAaPQ)EBC698155 035 $a(EXLCZ)992670000000176991 100 $a20120124d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSteel structures$b[electronic resource] $edesign using FEM /$fRolf Kindmann, Matthias Kraus 210 $aBerlin $cWilhelm Ernst & Sohn$dc2011 215 $a1 online resource (554 p.) 300 $aDescription based upon print version of record. 311 $a3-433-02978-4 320 $aIncludes bibliographical references (p. [528]-533) and index. 327 $aTitle Page; Table of Content; 1 Introduction; 1.1 Verification Methods; 1.2 Methods to Determine the Internal Forces and Moments; 1.3 Element Types and Fields of Application; 1.4 Linear and Nonlinear Calculations; 1.5 Designations and Assumptions; 1.6 Fundamental Relationships; 1.7 Limit States and Load Combinations; 1.8 Introductory Example; 1.9 Content and Outline; 1.10 Computer Programs; 2 Cross Section Properties; 2.1 Overview; 2.2 Utilisation of Symmetry Properties; 2.3 Standardisation Part I: Centre of Gravity, Principal Axes and Moments of Inertia 327 $a2.4 Calculation of Standardised Cross Section Properties Part I2.4.1 Separation of the Cross Section into Partial Areas; 2.4.2 Partial Areas of Thin-Walled Rectangles; 2.4.3 Basic Cross Sections and Elementary Compound Cross Section Shapes; 2.4.4 Tabular Calculation of Cross Section Properties; 2.4.5 Numeric Integration / Fibre and Stripe Model; 2.5 Standardisation Part II: Shear Centre, Warping Ordinate and Warping Constant; 2.6 Warping Ordinate; 2.7 Shear Centre M; 3 Principles of FEM; 3.1 General Information; 3.2 Basic Concepts and Methodology; 3.3 Progress of the Calculations 327 $a3.4 Equilibrium3.4.1 Preliminary Remarks; 3.4.2 Virtual Work Principle; 3.4.3 Principle of Minimum of Potential Energy; 3.4.4 Differential Equations; 3.5 Basis Functions for the Deformations; 3.5.1 General; 3.5.2 Polynomial Functions for Beam Elements; 3.5.3 Trigonometric and Hyperbolic Functions for Beam Elements; 3.5.4 Basis Functions for Plate Buckling; 3.5.5 One-Dimensional Functions for Cross Sections; 3.5.6 Two-Dimensional Functions for Cross Sections; 4 FEM for Linear Calculations of Beam Structures; 4.1 Introduction; 4.2 Beam Elements for Linear Calculations 327 $a4.2.1 Linking Deformations to Internal Forces and Moments4.2.2 Axial Force; 4.2.3 Bending; 4.2.4 Torsion; 4.2.5 Arbitrary Stresses; 4.3 Nodal Equilibrium in the Global Coordinate System; 4.4 Reference Systems and Transformations; 4.4.1 Problem; 4.4.2 Beam Elements in the X-Z Plane; 4.4.3 Beam Elements in a Three-Dimensional X-Y-Z COS; 4.4.4 Loads; 4.4.5 Warping Moment and Derivative of the Angle of Twist; 4.4.6 Finite Elements for Arbitrary Reference Points; 4.5 Systems of Equations; 4.5.1 Aim; 4.5.2 Total Stiffness Matrix; 4.5.3 Total Load Vector; 4.5.4 Geometric Boundary Conditions 327 $a4.6 Calculation of the Deformations4.7 Determination of the Internal Forces and Moments; 4.8 Determination of Support Reactions; 4.9 Loadings; 4.9.1 Concentrated Loads; 4.9.2 Distributed Loads; 4.9.3 Settlements; 4.9.4 Influences of Temperature; 4.10 Springs and Shear Diaphragms; 5 FEM for Nonlinear Calculations of Beam Structures; 5.1 General; 5.2 Equilibrium at the Deformed System; 5.3 Extension of the Virtual Work; 5.4 Nodal Equilibrium with Consideration of the Deformations; 5.5 Geometric Stiffness Matrix; 5.6 Special Case: Bending with Compression or Tension Force 327 $a5.7 Initial Deformations and Equivalent Geometric Imperfections 330 $aThis book presents the design of steel structures using finite element methods (FEM)according to the current state of the art in Germany and the rest of Europe. After a short introduction on the basics of the design, this book illustrates the FEM with a focus on internal forces, displacements, critical loads and modal shapes. Next to finite element procedures for linear calculations considering the stress states of normal force, biaxial bending and warping torsion, non-linear calculations and the stability cases of flexural buckling, lateral torsional buckling and plate buckling are concentrat 606 $aBuilding, Iron and steel 606 $aStructural design 606 $aFinite element method 608 $aElectronic books. 615 0$aBuilding, Iron and steel. 615 0$aStructural design. 615 0$aFinite element method. 676 $a624.1/821 676 $a624.1821 700 $aKindmann$b Rolf$0516622 701 $aKraus$b Matthias$0516623 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910141260503321 996 $aSteel structures$9846715 997 $aUNINA