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Most books on the theory and analysis of beams and plates deal with the classical (Euler-Bernoulli/Kirchoff) theories but few include shear deformation theories in detail. The classical beam/plate theory is not adequate in providing accurate bending, buckling, and vibration results when the thickness-to-length ratio of the beam/plate is relatively large. This is because the effect of transverse shear strains, neglected in the classical theory, becomes significant in deep beams and thick plates. This book illustrates how shear deformation theories provide accurate solutions compared to the clas
Deformations (Mechanics). --- Girders. --- Mathematical analysis. --- Plates (Engineering). --- Plates (Engineering)--Mathematical models. Girders--Mathematical models. Shear (Mechanics) Deformations (Mechanics) Mathematical analysis. --- Shear (Mechanics). --- Plates (Engineering) --- Girders --- Shear (Mechanics) --- Deformations (Mechanics) --- Mathematical models. --- 517.1 Mathematical analysis --- Mathematical analysis --- Shear lag --- Beams --- Disks (Mechanics) --- Panels --- Structural plates --- Elastic solids --- Mechanics --- Rheology --- Strains and stresses --- Structural failures --- Elasticity --- Bars (Engineering) --- Structural frames --- Graphic statics --- Elastic plates and shells --- Structural analysis (Engineering) --- Shells (Engineering) --- Cisaillement (Mécanique) --- Déformations (Mécanique) --- Analyse mathématique --- Mathematical models --- ELSEVIER-B EPUB-LIV-FT --- Plates --- Shears
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Three subjects of major interest are contained in this textbook: Linear elasticity, mechanics of structures in linear isotropic elasticity, and nonlinear mechanics including computational algorithms. Engineering and mathematics are in a reasonable balance: After the simplest possible, intuitive approach follows the mathematical formulation and analysis. Computational methods occupy a good portion of the book. There are several worked out problems in each chapter and additional exercises at the end of the book. Very often, mathematical expressions are given in more than one notation. The book is intended primarily for students and practising engineers in mechanical and civil engineering. Most of them will be faced with problems of advanced materials and should have a correct understanding of the basic ideas even if they use software to solve them. Students or experts from applied mathematics, materials science and other related fields will also find it useful.
Deformations (Mechanics) --- Elasticity --- Strength of materials --- Nonlinear theories --- Déformations (Mécanique) --- Elasticité --- Résistance des matériaux --- Théories non linéaires --- Strength of materials. --- Nonlinear theories. --- 531 --- 539.37 --- General mechanics. Mechanics of solid and rigid bodies --- Deformation in general. Plane deformation. Three-dimensional deformation. Deformability --- Elasticity. --- Deformations (Mechanics). --- 539.37 Deformation in general. Plane deformation. Three-dimensional deformation. Deformability --- 531 General mechanics. Mechanics of solid and rigid bodies --- Déformations (Mécanique) --- Elasticité --- Résistance des matériaux --- Théories non linéaires --- Architectural engineering --- Engineering, Architectural --- Materials, Strength of --- Resistance of materials --- Building materials --- Flexure --- Mechanics --- Testing --- Graphic statics --- Strains and stresses --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Elastic properties --- Young's modulus --- Matter --- Statics --- Rheology --- Elastic solids --- Structural failures --- Properties --- Mechanics. --- Mechanics, Applied. --- Computational intelligence. --- Solid Mechanics. --- Computational Intelligence. --- Classical Mechanics. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory
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