Static Analysis of Determinate and Indeterminate Structures 1st Edition by Kenneth Derucher, Chandrasekhar Putcha, Uksun Kim, Hota GangaRao 1000509923 9781000509922

Part I Analysis of Statically Determinate Structures

1 Solving Reactions Using Equations of Force

1.1 Equations of Equilibrium

1.2 Determinacy of a Beam

1.3 Examples

Example 1.3.1

Example 1.3.2

Example 1.3.3

Example 1.3.4

Problems for Chapter 1

2 Deflection of Statically Determinate Beams and Frames

2.1 Double Integration Method

Example 2.1.1

Example 2.1.2

Example 2.1.3

Example 2.1.4

2.2 Moment Area Method

Example 2.2.1

Example 2.2.2

Example 2.2.3

Example 2.2.4

2.3 Conjugate Beam Method

Example 2.3.1

Example 2.3.2

Example 2.3.3

Example 2.3.4

2.4 Unit Load Method

Example 2.4.1

Slope Calculation Table for θB

Example 2.4.2

Example 2.4.3

2.5 Summary

Problems for Chapter 2

3 Deflection of Statically Determinate Trusses

3.1 Basic Concept

3.2 Static Indeterminacy (SI)

3.3 Examples

Example 3.3.1

Example 3.3.2

3.4 Summary

Problems for Chapter 3

4 Shear Force and Bending Moment Diagrams for Beams

4.1 Procedure to Draw SFD and BMD

4.2 Relation Between Distributed Load, Shear Force, and Bending Moment

4.3 Examples

Example 4.3.1

Example 4.3.2

Example 4.3.3

Example 4.3.4

Example 4.3.5

Example 4.3.6

Example 4.3.7

4.4 Summary

Problems for Chapter 4

5 Influence Lines for Statically Determinate Structures

5.1 Basic Concept

5.2 Influence Lines for Beams

5.2.1 Influence Line for Reaction

5.2.2 Influence Line for Shear

5.2.3 Influence Line for Moment

5.3 Examples

Example 5.3.1

Example 5.3.2

Example 5.3.3

Example 5.3.4  

Example 5.3.5

Problems for Chapter 5

Part II Analysis of Statically Indeterminate Structures

6 Analysis of Statically Indeterminate Structures by the Force Method (Flexibility Method or Method of Consistent Deformation)

6.1 Basic Concepts of the Force Method

6.1.1 List of Symbols and Abbreviations Used in the Force Method

6.2 Static Indeterminacy

6.3 Basic Concepts of the Unit Load Method for Deflection Calculation

6.4 Maxwell’s Theorem of Reciprocal Deflections

6.5 Application of Force Method to Analysis of Indeterminate Beams

6.5.1 Sign Convention

6.5.2 Example of an Indeterminate Beam

Example 6.5.2.1

6.5.3 Structures with Several Redundant Forces

6.6 Application of the Force Method to Indeterminate Frames

6.6.1 Examples of an Indeterminate Frame

Example 6.6.1.1

6.7 Application of Force Method to Analysis of Indeterminate Trusses

Example 6.7.1

6.8 Summary

Problems for Chapter 6

7 Displacement Method of Analysis: Slope-Deflection Method

7.1 Basic Concepts of the Displacement Method

7.2 Basic Procedure of the Slope-Deflection Method

7.2.1 Slope-Deflection Equations

7.2.2 Sign Convention for Displacement Methods

7.2.3 Fixed-End Moments

7.3 Analysis of Continuous Beams by the Slope-Deflection Method

Example 7.3.1

Solution

7.4 Analysis of Continuous Beams with Support Settlements by the Slope-Deflection Method

Example 7.4.1

Solution

7.5 Application of the Slope-Deflection Method to Analysis of Frames Without Joint Movement

Example 7.5.1

Solution

7.6 Derivation of Shear Condition for Frames (with Joint Movement)

7.7 Application of the Slope-Deflection Method to Analysis of Frames with Joint Movement

Example 7.7.1

Solution

7.8 Summary

Problems for Chapter 7

8 Displacement Method of Analysis: Moment Distribution Method

8.1 Basic Concepts of Moment Distribution Method

8.2 Stiffness Factor, Carry-Over Factor, and Distribution Factor

8.2.1 Stiffness Factor

8.2.2 Carry-Over Factor

8.2.3 Distribution Factor

8.3 Analysis of Continuous Beams by Moment Distribution Method

8.3.1 Basic Procedure for Moment Distribution

8.3.2 Example for a Continuous Beam

Example 8.3.2.1

8.4 Analysis of a Continuous Beam with Support Settlement by Moment Distribution Method

Example 8.4.1

8.5 Application of Moment Distribution to Analysis of Frames Without Sidesway

Example 8.5.1

Solution

8.6 Application of Moment Distribution to Analysis of Frames with Sidesway

8.6.1 Basic Concepts: Application of Moment Distribution to Analysis of Frames with Sidesway

8.6.2 Example of Moment Distribution: Analysis of Frames with Sidesway

Example 8.6.2.1

8.6.3 Frame with Sidesway and Artificial Joint Removed

8.7 Summary

Problems for Chapter 8

9 Direct Stiffness Method: Application to Beams

9.1 Basic Concepts of the Stiffness Method

9.2 Kinematic Indeterminacy

9.3 Relation Between Stiffness Method and Direct Stiffness Method

9.4 Derivation/Explanation of the Beam-Element Stiffness Matrix

9.4.1 Global/Structure Stiffness Matrix

9.5 Application of the Direct Stiffness Method to a Continuous Beam

9.5.1 Basic Procedure of the Direct Stiffness Method for Beams

9.5.2 Example of a Continuous Beam Using the Stiffness Method

Example 9.5.2.1

9.6 Summary

Problems for Chapter 9

10 Direct Stiffness Method: Application to Frames

10.1 Derivation/Explanation of the Stiffness Matrix for a Frame Element

10.2 Application of the Direct Stiffness Method to a Frame

Example 10.2.1

Solution

10.3 Summary

Problems for Chapter 10

11 Direct Stiffness Method: Application to Trusses

11.1 Derivation/Explanation of the Stiffness Matrix for a Truss Element

11.2 Application of the Direct Stiffness Method to a Truss

Example 11.2.1

Steps 1–3

Step 4

Step 5

11.3 Summary

Problems for Chapter 11

12 Approximate Methods

12.1 Importance of Approximate Methods

12.2 Analysis of a Portal

12.3 Building Frames under Vertical Loads

12.4 Building Frames under Lateral Loads

12.5 Portal Method

12.5.1 Column Shears

12.5.2 Girder Shears

12.5.3 Column Axial Force

12.6 Cantilever Method

12.6.1 Column Axial Forces

12.7 The Factor Method

12.8 Modified Portal Method

12.8.1 Assumption

12.9 Results from Portal Method

12.9.1 Results

12.9.2 Cantilever Method

12.9.3 Top Floor FBD

12.9.4 Base FBD

Problems for Chapter 12

Appendix A

References

Index