Flexible bars

London, Butterworth & Co., 1962, 220 p.Книга является наиболее полным источником по вопросу о больших прогибах балокCONTENTS
Preface
1. Basic Equations
1.1. The Concept of Linear and of Nonlinear Deflections
1.2. Nonlinear Differential Equations of the Second Order. Elliptic Functions and Integrals
1.3. Vertical Strut under Vertical Load
1.4. The Infinite Bar
1.5. Nodal Elastica
1.6. KirchhofPs Dynamical Analogy. The Pendulum
1.7. Deflection of a Compressed Bar
1.8. Eccentric Loading of Flexible Strut
1.9. Strain Energy of a Flexible Bar due to Bending
2. Cantilever
2.1. Equations of Equilibrium of a Bent Elastic Rod
2.2. Horizontal Cantilever with a Vertical Point Load at the Free End
2.3. The Principle of Elastic Similarity
2.4. Horizontal Cantilever with a Load and a Couple Applied at the Free End
2.5. Cantilevers with Identical Lever Arms
2.6. Horizontal Cantilever with an Inclined Load
2.7. Cantilever under Two Vertical Loads
2.8. Cantilever under n Concentrated Loads
3. Bar on Two Supports
3.1. Straight Bar on Unyielding Knife-edged Supports
3.2. Flexible Bar Fixed at both Ends
3.3. Simply Supported Bar with a Non-symmetrical Load
4. Initially Curved Bar Under Point Loads
4.1. Basic Equations
4.2. Initially Curved (Circular) Bar under Vertical Load at the Free End
4.3. Initially Curved (Circular) Bar under Horizontal Load
4.4. Circular Cantilever with Inclined Load
4.5. Buckled Shape of a Flat Spring
4.6. Circular Ring. Ring in Tension
4.7. Ring in Compression
4.8. Approximate Analysis of the Circular Ring
4.9. Flexible Ring Compressed between Plates
4.10. Leaf Spring
4.11. Semicircular Ring Fixed at both Ends
4.12. Numerical Analysis of Curved Bars with Point Loads
5. Application of Power Series. Distributed Loads
5.1. Horizontal Cantilever under Point Load
5.2. Buckling of Bar under Own Weight
5.3. Horizontal Cantilever under Distributed Load
5.4. Cantilever under Normal, Uniformly Distributed Load
5.5. Heart Loop
5.6. Simply Supported Bar under Uniformly Distributed Load
5.7. Calculation of Deflections from Chart
5.8. Numerical Analysis of Bars under Distributed Loads
6. Three-Dimensional Deformations of a Bar
6.1. Generalized Kinetic Analogy
6.2. The Curvatures p, q and r
6.3. The Cones P and H
6.4. Coordinates of the Elastic Shape
6.5. The Spiral Spring
6.6. Large Deflection of a Spiral Spring
Index