《Elastic energy theory》求取 ⇩

CHAPTER ⅠSTATICALLY DETERMINATE AS AGAINST STATICALLY INDETERMINATE STRUCTURES1

Physical Distinction between Statically Determinate and Statically Inde-terminate Structures，2

CHAPTER ⅡENERGY6

CHAPTER ⅢANALYSIS OF FRAMES8

Displacement of Any Joint in a Frame in Any Direction，8

CHAPTER ⅣREDUNDANT FRAMES15

Frame with One Redundant，15

Airplane Fuselage，20

Frame with Two or More Redundants，27

Temperature Stresses，31

Check on Computed Stresses in Frames，34

Maxwell’s Law of Reciprocity of Displacement，38

Influence Lines，39

CHAPTER ⅤANALYSIS OF BEAMS42

Deformation of Beams，42

Elastic Energy Due to Bending，47

Rules for Graphic Integration，52

CHAPTER ⅥREDUNDANT BEAMS58

Ⅰ.Rectilinear Beams，58

Rule concerning Application of Auxiliary Load P or M′，60

The Theorem of Three Moments，72

Ⅱ.Bents，75

Vierendeel Truss，81

Ⅲ.Curved Beams，88

Circular Ring Loaded by Its Own Weight，92

Pipe Filled with a Liquid，101

The Submarine，112

The Dirigible Airship，115

CHAPTER ⅦCOMBINED BENDING AND DIRECT STRESS120

The Braced Beam，120

The Biplane，131

The Arch，141

CHAPTER ⅧCOMBINED BENDING AND TORSION158

CHAPTER ⅨELASTIC ENERGY AND DEFORMATIONS DUE TO SHEAR164

Ⅰ.Beams，164

Ⅱ.Shafts，167

CHAPTER ⅩRESILIENCE169

Beams of Constant Strength，171

Leaf Spring，172

Helical Spring，176

Spiral Spring，178

CHAPTER ⅪELASTIC CURVES AS INFLUENCE LINES191

Maxwell’s Law of Reciprocity of Displacement，191

Influence Line for Reaction，196

Influence Line for Moment，199，201，203

Units of Measurement，204

Check on Influence Line，206

General Comments on Influence Lines，209

CHAPTER ⅫTHE THEORY OF LEAST WORK216

First Proof，216

Alternative Proof，223

CHAPTER ⅩⅢESTIMATE OF ELASTIC ENERGY THEORY228

Advantages of Elastic Energy Theory，228

Limitations of Elastic Energy Theory，231

PROBLEMS237

INDEX255