Fundamentals of Structural Analysis

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ISBN: 9780072453430 | 0072453435
Cover: Hardcover
Copyright: 12/1/2001

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"Fundamentals of Structural Analysis" third edition, introduces engineering and architectural students to the basic techniques for analyzing the most common structural elements, including beams, trusses, frames, cables, and arches. This edition offers a new page design with free access to RISA! The text will cover the classical methods of analysis for determinate and indeterminate structures, and provide an introduction to the matrix formulation on which computer analysis is based.

Preface

Introduction

(24)

Overview of the Text

(2)

The Design Process: Relationship of Analysis to Design

(2)

Strength and Serviceability

(1)

Historical Development of Structural Systems

(3)

Basic Structural Elements

(9)

Assembling Basic Elements to Form a Stable Structural System

(3)

Analyzing by Computer

(1)

Preparation of Computations

(3)

Summary

(2)

Design Loads

(44)

Building and Design Code

(1)

Loads

(1)

Dead Loads

(8)

Live Loads

(7)

Wind Loads

(14)

Earthquake Forces

(5)

Other Loads

(1)

Load Combinations

(8)

Summary

(7)

Statics of Structures---Reactions

(48)

Introduction

(1)

Forces

(7)

Supports

(4)

Idealizing Structures

(1)

Free-Body Diagrams

(2)

Equations of Static Equilibrium

(6)

Equations of Condition

(3)

Influence of Reactions on Stability and Determinancy of Structures

(8)

Classifying Structures

103

(5)

Comparison Between Determinate and Indeterminate Structures

108

(11)

Summary

110

(9)

Trusses

119

(38)

Introduction

119

(3)

Types of Trusses

122

(1)

Analysis of trusses

123

(1)

Method of Joints

124

(4)

Zero Bars

128

(1)

Method of Sections

129

(8)

Determinacy and Stability

137

(20)

Summary

143

(14)

Beams and Frames

157

(56)

Introduction

157

(5)

Scope of Chapter

162

(1)

Equations for Shear and Moment

163

(7)

Shear and Moment Curves

170

(18)

Principle of Superposition

188

(4)

Sketching the Deflected Shape of a Beam or Frame

192

(5)

Degree of Indeterminancy

197

(16)

Summary

200

(13)

Cables

213

(14)

Introduction

213

(1)

Characteristics of Cables

214

(1)

Variation of Cable Force

215

(1)

Analysis of a Cable Supporting Gravity (Vertical) Loads

216

(1)

General Cable Theorem

217

(3)

Establishing the Funicular Shape of an Arch

220

(7)

Summary

223

(4)

Arches

227

(14)

Introduction

227

(1)

Types of Arches

227

(2)

Three-Hinged Arches

229

(2)

Funicular Shape for an Arch That Supports a Uniformly Distributed Load

231

(10)

Summary

236

(5)

Live Load Forces: Influence Lines for Determinate Structures

241

(52)

Introduction

241

(1)

Influence Lines

241

(1)

Construction of an Influence Line

242

(8)

The Muller-Breslau Principle

250

(3)

Use of Influence Lines

253

(3)

Influence Lines for Girders Supporting Floor Systems

256

(7)

Influence Lines for Trusses

263

(6)

Live Loads for Highway and Railroad Bridges

269

(3)

Increase-Decrease Method

272

(5)

Absolute Maximum Live Load Moment

277

(3)

Maximum Shear

280

(13)

Summary

282

(11)

Deflections of Beams and Frames

293

(50)

Introduction

293

(1)

Double Integration Method

293

(6)

Moment-Area Method

299

(19)

Elastic Load Method

318

(5)

Conjugate Beam Method

323

(8)

Design Aids for Beams

331

(12)

Summary

333

(10)

Work-Energy Methods for Computing Deflections

343

(52)

Introduction

343

(1)

Work

344

(2)

Strain Energy

346

(2)

Deflections by the Work-Energy Method (Real Work)

348

(2)

Virtual Work: Trusses

350

(16)

Virtual Work: Beams and Frames

366

(10)

Finite Summation

376

(2)

Bernoulli's Principle of Virtual Displacements

378

(3)

Maxwell-Betti Law of Reciprocal Deflections

381

(14)

Summary

384

(11)

Analysis of Indeterminate Structures by the Flexibility Method

395

(46)

Introduction

395

(1)

Concept of a Redundant

395

(1)

Fundamentals of the Flexibility Method

396

(4)

Alternative View of the Flexibility Method (Closing a Gap)

400

(9)

Analysis Using Internal Releases

409

(8)

Support Settlements, Temperature Change, and Fabrication Errors

417

(4)

Analysis of Structures with Several Degrees of Indeterminancy

421

(8)

Beam on Elastic Supports

429

(12)

Summary

432

(9)

Analysis of Indeterminate Beams and Frames by the Slope-Deflection Method

441

(40)

Introduction

441

(1)

Illustration of the Slope-Deflection Method

441

(2)

Derivation of the Slope-Deflection Equation

443

(6)

Analysis of Structures by the Slope-Deflection Method

449

(14)

Analysis of Structures That Are Free to Sidesway

463

(9)

Kinematic Indeterminancy

472

(9)

Summary

473

(8)

Moment Distribution

481

(52)

Introduction

481

(1)

Development of the Moment Distribution Method

482

(5)

Summary of the Moment Distribution Method with No Joint Translation

487

(1)

Analysis of Beams by Moment Distribution

488

(7)

Modification of Member Stiffness

495

(11)

Analysis of Frames That Are Free to Sidesway

506

(4)

Analysis of an Unbraced Frame for General Loading

510

(5)

Analysis of Multistory Frames

515

(2)

Nonprismatic Members

517

(16)

Summary

526

(7)

Indeterminate Structures: Influence Lines

533

(26)

Introduction

533

(1)

Construction of Influence Lines Using Moment Distribution

534

(3)

Muller-Breslau Principle

537

(2)

Qualitative Influence Lines for Beams

539

(8)

Live Load Patterns to Maximize Forces in Multistory Buildings

547

(12)

Summary

556

(3)

Approximate Analysis of Indeterminate Structures

559

(52)

Introduction

559

(1)

Approximate Analysis of a Continuous Beam for Gravity Load

560

(7)

Approximate Analysis of a Rigid Frame for Vertical Load

567

(3)

Approximate Analysis of a Continuous Truss

570

(6)

Estimating Deflections of Trusses

576

(1)

Trusses with Double Diagonals

577

(3)

Approximate Analysis of a Multistory Rigid Frame for Gravity Load

580

(8)

Analysis of Unbraced Frames for Lateral Load

588

(3)

Portal Method

591

(7)

Cantilever Method

598

(13)

Summary

603

(8)

Introduction to the General Stiffness Method and Review of Basic Matrix Operations

611

(36)

Introduction

611

(1)

Comparison Between Flexibility and Stiffiness Methods

612

(5)

Analysis of an Indeterminate Beam by the General Stiffness Method

617

(12)

Introduction to Matrix Notation

629

(1)

Characteristics of Matrices

629

(2)

Matrix Operations

631

(6)

Determinants

637

(1)

Inverse of a Matrix

638

(2)

Gauss Elimination

640

(7)

Summary

641

(6)

Matrix Analysis of Trusses by the Direct Stiffness Method

647

(28)

Introduction

647

(5)

Member and Structure Stiffness Matrices

652

(1)

Construction of a Member Stiffness Matrix for an Individual Truss Bar

652

(2)

Assembly of the Structure Stiffness Matrix

654

(3)

Solution of the Direct Stiffness Method

657

(2)

Member Stiffness Matrix of an Inclined Truss Bar

659

(11)

Coordinate Transformation of a Member Stiffness Matrix

670

(5)

Summary

671

(4)

Matrix Analysis of Beams and Frames by the Direct Stiffness Method

675

(38)

Introduction

675

(2)

Structure Stiffness Matrix

677

(1)

The 2 x 2 Rotational Stiffness Matrix for a Flexural Member

678

(9)

The 4 x 4 Member Stiffness Matrix in Local Coordinates

687

(10)

The 6 x 6 Member Stiffness Matrix in Local Coordinates

697

(8)

The 6 x 6 Member Stiffness Matrix in Global Coordinates

705

(3)

Assembly of a Structure Stiffness Matrix---Direct Stiffness Method

708

(5)

Summary

710

(3)

Appendix

713

(1)

Glossary

714

(3)

Answers to Selected Problems

717

(3)

Credits

720

(1)

Index

721

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Fundamentals of Structural Analysis

Summary

Table of Contents

Supplemental Materials