Basic structural analysis
Muthu, K. U. & others
Basic structural analysis - Ed.3 - New Delhi I. K. International Publishing House Pvt. Ltd. 2018 - xiv,759p.
CONTENTS
Preface to the Third Edition v
Preface to the Second Edition v
Preface to the First Edition vii
Acknowledgements viii
Preamble xiii
Concept Map xiv
1. General Introduction 1
1.1 Structural Forms 1
1.2 Statically Determinate and Indeterminate Structures 7
1.3 Static Indeterminacy 10
1.4 Kinematic Indeterminacy 21
1.5 Structural Systems 27
2. Framed Structures 35
2.1 Plane Frames 35
2.2 Perfect, Imperfect and Redundant Pin Jointed Frames 36
2.3 Graphical Solution-Force Diagrams 37
2.4 Method of Joints 43
2.5 Method .of Sections 73
2.6 Method of Tension Coefficients 95
o'
3. Double Integration Method 118
3.1 1 Introduction 118
3.2 Definition of Deflection of a Beam 118
3.3 Significance of Computations of Deflections 119
3.4 Differential Equation of the Elastic Curve 119
3.5 Euler-Bernoulli Equation 123
3.6 Double Integration Method 123
3.7 Deflection of Beams-Standard Cases 125
3.8 Numerical Problems 135
3.9 Macaulay's Method 137
3.10 Successive Integration 180
4. Moment Area Method 198
4.1 Introduction 198
4.2 Mohr's Theorems 198
4.3 Application of Moment Area Method 202
5. Conjugate Beam Method 236
5.1 Introduction 236
5.2 Numerical Examples on Conjugate Beam Method 238
6. Strain Energy Method 263
6.1 Strain Energy 263
6.2 Castigliano's Theorems 278
6.3 Numerical Examples on Deflection of Bent Frames 324
6.4 Deflection of Statically Determinate Beams 328
7. Moving Loads and Influence Line Diagram 358
7.1 Introduction 358
7.2 Single Concentra:ted Load Moving on a Simply Supported Beam 359
7.3 Maximum Reactions and Shear Force in Beams Due to
Uniformly Distributed Loads (UDL Longer than the Span) 363
7.4 Maximum Shear Force and Bending Moment When Uniformly Distributed
Load Shorter than the Span is Moving Across the Span 365
7.5 A Train of Loads Travel Across the Beam 368
7.6 Numerical Examples 369
7.7 Influence Lines 381
7.8 ILD for Simply Supported Beams 383
7.9 Shear Force at a Section 385
7.10 Bending _Moment at a Section 387
7.11 Numerical Examples 388
7.12 Influence Line for Determinate Truss 396
7.13 Counter Bracing 408
8. Three Hinged Arches 416
8.1 Introduction 416
8.2 Types of Arches 417
8.3 Comparison Between Three Hinged, Two Hinged and Fixed Arches 420
8.4 Arch versus Beam 420
8.5 Linear Arch 421
8.6 Eddy's Theorem 423
8.7 • Analysis of Three Hinged Arch 425
8.8 Normal Thrust and Radial Shear in an Arch 426
8.9 Geometrical Properties of Parabolic and Circular Arches 427
8.10 Influence Line Diagram for Three Hinged Arches 428
8.11 Three Hinged Circular Arch at Different Levels 454
8.12 Absolute Maximum Bending Moment Diagram for a Three
Hinged Parabolic Arch 466
8.13 Temperature Effect in Three Hinged Arches 469
9. Cables and Suspension Bridges 480
9.1 Introduction 480
9.2 Equilibrium of a Suspension Cable Subjected to Concentrated Loads 480
9.3 Equilibrium of Cable Subjected to Uniformly Distributed Load 482
9.4 Length of Cable 484
9.5 Cable with Support at Different Levels 485
9.6 Suspension Cable Supports 487
9.7 Suspension Bridges 503
9.8 Analysis of Three Hinged Stiffening Girder Suspension Bridge 504
10. Propped Cantilever Beams 523
10.1 Introduction 523
10.2 Procedure for the Analysis of Propped Cantilever Beams 524
10.3 Numerical Examples 524
11. Fixed Beams 561
11.1 Introduction 561
11.2 Numerical Examples 562
12. Continuous Beams 626
12.1 Introduction 626
12.2 Derivation of Clapeyron's Theorem (Theorem of Three Moments) 627
12.3 Application of Three Moment Equation in Case of Beams When
One or Both of the Ends are Fixed 630
12.4 Numerical Examples on Continuous Beams 635
12.5 Uneven Supports 693
13. Influence Lines for Indeterminate Beams 702
13.1 Introduction 702
13.2 Development of Influence Line Diagram 706
13.3 Numerical Examples 707
13.4 Influence Lines Using Moment Distribution Method 744
References 755
Index 757
9789385909573
624.171 / MUT
Basic structural analysis - Ed.3 - New Delhi I. K. International Publishing House Pvt. Ltd. 2018 - xiv,759p.
CONTENTS
Preface to the Third Edition v
Preface to the Second Edition v
Preface to the First Edition vii
Acknowledgements viii
Preamble xiii
Concept Map xiv
1. General Introduction 1
1.1 Structural Forms 1
1.2 Statically Determinate and Indeterminate Structures 7
1.3 Static Indeterminacy 10
1.4 Kinematic Indeterminacy 21
1.5 Structural Systems 27
2. Framed Structures 35
2.1 Plane Frames 35
2.2 Perfect, Imperfect and Redundant Pin Jointed Frames 36
2.3 Graphical Solution-Force Diagrams 37
2.4 Method of Joints 43
2.5 Method .of Sections 73
2.6 Method of Tension Coefficients 95
o'
3. Double Integration Method 118
3.1 1 Introduction 118
3.2 Definition of Deflection of a Beam 118
3.3 Significance of Computations of Deflections 119
3.4 Differential Equation of the Elastic Curve 119
3.5 Euler-Bernoulli Equation 123
3.6 Double Integration Method 123
3.7 Deflection of Beams-Standard Cases 125
3.8 Numerical Problems 135
3.9 Macaulay's Method 137
3.10 Successive Integration 180
4. Moment Area Method 198
4.1 Introduction 198
4.2 Mohr's Theorems 198
4.3 Application of Moment Area Method 202
5. Conjugate Beam Method 236
5.1 Introduction 236
5.2 Numerical Examples on Conjugate Beam Method 238
6. Strain Energy Method 263
6.1 Strain Energy 263
6.2 Castigliano's Theorems 278
6.3 Numerical Examples on Deflection of Bent Frames 324
6.4 Deflection of Statically Determinate Beams 328
7. Moving Loads and Influence Line Diagram 358
7.1 Introduction 358
7.2 Single Concentra:ted Load Moving on a Simply Supported Beam 359
7.3 Maximum Reactions and Shear Force in Beams Due to
Uniformly Distributed Loads (UDL Longer than the Span) 363
7.4 Maximum Shear Force and Bending Moment When Uniformly Distributed
Load Shorter than the Span is Moving Across the Span 365
7.5 A Train of Loads Travel Across the Beam 368
7.6 Numerical Examples 369
7.7 Influence Lines 381
7.8 ILD for Simply Supported Beams 383
7.9 Shear Force at a Section 385
7.10 Bending _Moment at a Section 387
7.11 Numerical Examples 388
7.12 Influence Line for Determinate Truss 396
7.13 Counter Bracing 408
8. Three Hinged Arches 416
8.1 Introduction 416
8.2 Types of Arches 417
8.3 Comparison Between Three Hinged, Two Hinged and Fixed Arches 420
8.4 Arch versus Beam 420
8.5 Linear Arch 421
8.6 Eddy's Theorem 423
8.7 • Analysis of Three Hinged Arch 425
8.8 Normal Thrust and Radial Shear in an Arch 426
8.9 Geometrical Properties of Parabolic and Circular Arches 427
8.10 Influence Line Diagram for Three Hinged Arches 428
8.11 Three Hinged Circular Arch at Different Levels 454
8.12 Absolute Maximum Bending Moment Diagram for a Three
Hinged Parabolic Arch 466
8.13 Temperature Effect in Three Hinged Arches 469
9. Cables and Suspension Bridges 480
9.1 Introduction 480
9.2 Equilibrium of a Suspension Cable Subjected to Concentrated Loads 480
9.3 Equilibrium of Cable Subjected to Uniformly Distributed Load 482
9.4 Length of Cable 484
9.5 Cable with Support at Different Levels 485
9.6 Suspension Cable Supports 487
9.7 Suspension Bridges 503
9.8 Analysis of Three Hinged Stiffening Girder Suspension Bridge 504
10. Propped Cantilever Beams 523
10.1 Introduction 523
10.2 Procedure for the Analysis of Propped Cantilever Beams 524
10.3 Numerical Examples 524
11. Fixed Beams 561
11.1 Introduction 561
11.2 Numerical Examples 562
12. Continuous Beams 626
12.1 Introduction 626
12.2 Derivation of Clapeyron's Theorem (Theorem of Three Moments) 627
12.3 Application of Three Moment Equation in Case of Beams When
One or Both of the Ends are Fixed 630
12.4 Numerical Examples on Continuous Beams 635
12.5 Uneven Supports 693
13. Influence Lines for Indeterminate Beams 702
13.1 Introduction 702
13.2 Development of Influence Line Diagram 706
13.3 Numerical Examples 707
13.4 Influence Lines Using Moment Distribution Method 744
References 755
Index 757
9789385909573
624.171 / MUT