Static Analysis of Determinate and Indeterminate Structures

✍ Scribed by Kenneth Derucher, Chandrasekhar Putcha, Uksun Kim, Hota V.S. GangaRao

• Publisher: CRC Press
• Year: 2021
• Tongue: English
• Leaves: 203
• Edition: 1
• Category: Library

✦ Synopsis

This book presents students with the key fundamental elements of structural analysis and covers as much material as is needed for a single-semester course, allowing for a full understanding of indeterminate structural analysis methods without being overwhelming. Authored by four full professors of engineering, this class-tested approach is more practical and focused than what’s found in other existing structural analysis titles, and therefore more easily digestible and accessible. It also allows students to solve indeterminate structural analysis problems by utilizing different methods, enabling them to compare the merits of each, and providing a greater understanding of the subject material.

Features:

• Includes practical examples to illustrate the concepts presented throughout the book.
• Examines and compares different methods to solve indeterminate structural analysis problems
• Presents a focused treatment of the subject suitable as a primary text for coursework.

Static Analysis of Determinate and Indeterminate Structures is suitable for Civil Engineering students taking Structural Analysis courses.

✦ Table of Contents

Cover
Half Title
Title Page
Copyright Page
Table of Contents
Preface
Author Biographies
Introduction
Part I Analysis of Statically Determinate Structures
Chapter 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
Chapter 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 TB
Example 2.4.2
Example 2.4.3
2.5 Summary
Problems for Chapter 2
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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