UID:
almahu_9948026410902882
Format:
1 online resource (281 p.)
Edition:
1st ed.
ISBN:
1-281-03754-0
,
9786611037543
,
0-08-053760-X
Content:
In order to select an optimal structure among possible similar structures, one needs to compare the elastic behavior of the structures. A new criterion that describes elastic behavior is the rate of change of deformation. Using this criterion, the safe dimensions of a structure that are required by the stress distributed in a structure can be calculated. The new non-linear theory of elasticity allows one to determine the actual individual limit of elasticity/failure of a structure using a simple non-destructive method of measurement of deformation on the model of a structure while presently it
Note:
Description based upon print version of record.
,
Front Cover; Non-linear Theory of Elasticity and Optimal Design; Copyright Page; Contents; Preface; Introduction; Prologue; Part I: Principles and Methods of NLTE; Chapter 1. Practical problems; Chapter 2. Foundations of the non-linear theory of elasticity; 2.1. Summary; 2.2. Recapture; Chapter 3. Devising the non-linear theory of elasticity; 3.1. Summary; Chapter 4. Principles of logic in NLTE; Chapter 5. Method of optimal structural design; 5.1. Summary; 5.2. Example of beam design; Chapter 6. Optimal structural design (examples); 6.1. Tension/compression and bending
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6.2. Beams with multiple supports6.3. Deformation of plates; Chapter 7. Optimal simple beam; Chapter 8. On mathematics in physics; 8.1. Summary; Chapter 9. On the nature of the limit of elasticity; 9.1. Summary; Chapter 10. The stress-strain diagram; Chapter 11. On the nature of proof in physical theory; 11.1. Summary; Chapter 12. History of the theory of elasticity; Chapter 13. On the principles of the theory of elasticity; 13.1. Summary; United States Patent 5,654,900 (August 5, 1997) Method of and Apparatus for Optimization of Structures; Chapter 1. Background of the invention
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1.1. Field of the Invention1.2. Description of the Prior Art; Chapter 2. Summary of the invention; Chapter 3. Description of illustrated exemplary teaching; Part II: Linear Theory of Infinitesimal Deformations; Chapter 1. Principles of LTE; Chapter 2. Stress; Chapter 3. Deformation; Chapter 4. Hooke's Law; Chapter 5. Geometric characteristics of plane areas; Chapter 6. Combination of stresses; 6.1. Load and Resistance Factor Design (LRFD); Part III: Optimization of typical structures; Chapter 1. Introduction; Chapter 2. Tension/compression; Chapter 3. Torsion; 3.1. Recapture
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Chapter 4. Bending4.1. Calculation of deflections using the unit load method; Chapter 5. Combined stresses; Chapter 6. Continuous beam; Chapter 7. Stability of thin shells; 7.1. Calculation for symmetrical thin shells; Chapter 8. Elastic stability of plates; Chapter 9. Dynamic stresses and the non-linear theory of elasticity; Chapter 10. Impact stresses; 10.1. Tension impact on a bar; 10.2. Bending impact; Chapter 11. Testing of materials; Appendix I. Optimal design of typical beams; Appendix II; Tension-compression; Bending; Circular cylindrical shells (membrane theory)
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Appendix III. Table for shaft calculationPart IV: Further Discussions in the Theory of Elasticity; Chapter 1. Graph analysis; 1.1. Commentary to Illustration 1 of Part I; Chapter 2. Geometrical models of physical functions; Chapter 3. The equation for the elastic line and the non-linear theory of elasticity; Part V: Philosophy and Logic of Physical Theory; Chapter 1. Philosophical background of the non-linear theory of elasticity; Chapter 2. Logic and physical theory; 2.1. Role of logic in science; 2.2. General argument; Chapter 3. The rules of logic; Chapter 4. Logic of construction in NLTE
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Chapter 5. The definitive logic
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English
Additional Edition:
ISBN 0-444-51427-9
Language:
English
