《MOMENT DISTRIBUTION》

1．FUNDAMENTALS OF MOMENT DISTRIBUTION1

1．1Introduction1

1．2 General Description of Moment Distribution Method2

1．3 Sign Convention for Moments5

1．4 Fixed-end Moments7

1．5 Rotational Stiffness14

1．6 Distribution Factor15

1．7 Carry-over Factor16

1．8 Continuous Beams16

1．9 Continuous Beams with Joint Settlement and Rotation22

1．10 Continuous Beams on Elastic Supports25

1．11 Rigid Frames with Joint Translation Prevented31

1．12 Symmetrical and Antisymmetrical Loadings38

1．13 Temperature Effects41

1．14 Checking Moment Distribution48

1．15 Structures with Hinges52

Problems55

2．STRUCTURES WITH JOINT TRANSLATION70

2．1Rectangular Rigid Frames70

2．2 Frames with Inclined Members77

2．3 Frames with Several Degrees of Freedom of Joint Translation79

2．4 Rigid Frames with Elastic Supports86

2．5 Alternate Method of Analysis88

2．6 Analysis of Large Building Frames90

Problems94

3．NONPRISMATIC MEMBERS104

3．1Introduction104

3．2 Formulas for Stiffness and Carry-over Factors104

3．3 Formulas for Fixed-end Moments—Uniform Load108

3．4 Formulas for Fixed-end Moments—Concentrated Load110

3．5 Formulas for Joint Translation and Rotation111

3．6 Tapered Beams113

3．7 Doubly-Tapered Beams121

3．8 Tapered Beams with Hinge at Center124

3．9 Symmetrical Beams of Two Moments of Inertia125

3．10 Unsymmetrical Beams of Two Moments of Inertia126

3．11 Beams with Infinite Moment of Inertia at Ends129

3．12 Haunched Beams130

3．13 Numerical Evaluation of Moment Distribution Factors132

Problems134

4．TRANSLATIONAL MOMENT DISTRIBUTION137

4．1Introduction137

4．2 Stiffness and Carry-over Factors for a Beam on an Elastic Support139

4．3 Formulas for Rectangular Rigid Frames141

4．4 Fixed-end Moments143

4．5 Examples of Translational Moment Distribution147

4．6 Rigid Frames of Other Shapes151

4．7 Cantilever Moment Distribution155

4．8 Method of Successive Translations160

Problems165

5．EFFECTS OF AXIAL FORCES166

5．1Introduction166

5．2 Effects of Changes in Lengths166

5．3 Secondary Moments in Trusses169

5．4 Effect of Axial Loads on Stiffness and Carry-over Factors176

5．5 Fixed-end Moments183

5．6 Fixed-end Moments Caused by Joint Translation189

5．7 Examples191

5．8 Buckling Loads194

Problems203

6．ADDITIONAL TOPICS212

6．1Effects of Shearing Forces212

6．2 Shear Deflections in a Beam213

6．3 Carry-over and Stiffness Factors Considering Shear221

6．4 Fixed-end Moments Considering Shear224

6．5 Numerical Example228

6．6 Effect of Flexible Connections229

6．7 Carry-over and Stiffness Factors for Beams with Flexible Connections232

6．8 Fixed-end Moments for Beams with Flexible Connections235

6．9 Experiments with Flexible Connections240

6．10 Computer Programming of Moment Distribution242

6．11 Other Topics243

Problems244

BIBLIOGRAPHY247

APPENDICES269

AFixed-end Moments for Prismatic Beams269

B Rotational Stiffnesses and Carry-over Factors273

C Moment Distribution Factors for Beams with Hinges275

D Moment Distribution Factors for Tapered Beams281

E Moment Distribution Factors for Doubly-tapered Beams305

F Moment Distribution Factors for Tapered Beams with Hinge at Center321

G Moment Distribution Factors for Symmetrical Beams of Two Moments of Inertia329

H Moment Distribution Factors for Unsymmetrical Beams of Two Moments of Inertia341

I Moment Distribution Factors for Beams with Infinite Moment of Inertia at Ends361

ANSWERS364

NAME INDEX369

SUBJECT INDEX373