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Matrix Methods for Advanced Structural Analysis

Langue : Anglais

Auteurs :

Couverture de l’ouvrage Matrix Methods for Advanced Structural Analysis

Divided into 12 chapters, Matrix Methods for Advanced Structural Analysis begins with anintroduction to the analysis of structures (fundamental concepts and basic steps of structuralanalysis, primary structural members and their modeling, brief historical overview of methodsof static analysis, programming principles, and suggestions for the rational use of computerprograms). This is followed by the principal steps of the Direct Stiffness Method including planetrusses, plane framed structures, space trusses, and space framed structures. The case ofplane or space framed structure, including possible rigid elements at their beam ends (rigidjoints) is discussed in detail.

Other topics discussed in this reference include the procedure for analyzing beams with internalreleases (partial connection of beam elements) and elastic hinges, as well as the alternativehandling of internal releases by modifying the element stiffness matrix. Furthermore, theMethod of Substructures is demonstrated for the solution of large-scale models in terms of theassociated number of degrees of freedom.

1. Introduction to Matrix Methods of Structural Analysis2. Plane Trusses3. Plane Frames4. Space Trusses5. Space frames6. Rigid Joints7. Internal hinges – Combined Node Method8. Internal hinges – Modified Stiffness Matrices Method9. Static Condensation Method10. Elements of variable cross section11. Method of Substructures12. Programming of Direct Stiffness Method for beam-like structures – Programming in MatLab Software

Structural Engineers, Structural Designers, and Construction Engineers

National Technical University of Athens, Institute of Structural Analysis and Seismic Research, Athens, Greece
Dr.,M.Sc.,DIC,Eng., Professor of Structural Analysis, Institute of Structural Analysis and Antiseismic Research
School of Civil Engineering, National Technical University of Athens
  • The principal steps of the Direct Stiffness Method are presented for plane and spacetrusses, as well as plane and space framed structures
  • The handling of beams with internal releases and elastic hinges
  • The method of substructures for large-scale structures
  • A computer code (basic steps and source files) based on MATLAB® software for theanalysis of beam-like structures

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Mots-clés :

Action-reaction principle; Axial forces; BeamPlease check the that the copyeditor has assigned; and correct if necessary.-->; -like structure; Boundary hypernodes; CantileverPlease check the that the copyeditor has assigned; and correct if necessary.-->; construction; Computation; Data file; Direct stiffness method; Displacement; Displacement vector; Elastic hinge; End-translation; Equivalent actions; Free body diagram; Global dof; Global stiffness; Global stiffness matrix; Global system; Global vectors; Graphic environment; Hybrid plane frame; Hyperelement; Hypernodes; Ideal truss; KinematicPlease check the that the copyeditor has assigned; and correct if necessary.-->; Linear beamPlease check the that the copyeditor has assigned; and correct if necessary.-->; element; Matrix and restrained actions; Monolithically connected; Nodal actions; Nodal displacements; Nodal forces; PFrameMatlabPlease check the that the copyeditor has assigned; and correct if necessary.-->; Physical interpretation; Pinned joints; Plane frame; PlanePlease check the that the copyeditor has assigned; and correct if necessary.-->; frame test; Restrained structure; Shear deformations; Shear wall; Sign convention; Skeletal structures; Space framePlease check the that the copyeditor has assigned; and correct if necessary.-->; StaticPlease check the that the copyeditor has assigned; and correct if necessary.-->; condensation; Stiffness equation; Stiffness matrices; Stiffness matrix; Stress resultants; Structure-element; StructuresPlease check the that the copyeditor has assigned; and correct if necessary.-->; Support reactions; Tensile forces; TorsionalPlease check the that the copyeditor has assigned; and correct if necessary.-->; release; Transformation matrices; Transformation matrix; Truss elementsPlease check the that the copyeditor has assigned; and correct if necessary.-->