Fundamentals of Structural Analysis

by Leet, Kenneth; Uang, Chia-Ming; Gilbert, Anne M.

• ISBN13: 9780073305387
• ISBN10: 0073305383
• Edition: 3rd
• Format: Hardcover
• Copyright: 2006-08-31
• Publisher: MCG

Summary

Fundamentals of Structural Analysisthird 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.

Table of Contents

Preface	xv
Introduction	3	(24)
Overview of the Text	3	(2)
The Design Process: Relationship of Analysis to Design	5	(2)
Strength and Serviceability	7	(1)
Historical Development of Structural Systems	8	(3)
Basic Structural Elements	11	(9)
Assembling Basic Elements to Form a Stable Structural System	20	(3)
Analyzing by Computer	23	(1)
Preparation of Computations	24	(3)
Summary	25	(2)
Design Loads	27	(46)
Building and Design Code	27	(1)
Loads	28	(1)
Dead Loads	29	(7)
Live Loads	36	(7)
Wind Loads	43	(16)
Earthquake Forces	59	(4)
Other Loads	63	(1)
Load Combinations	64	(9)
Summary	65	(8)
Statics of Structures---Reactions	73	(48)
Introduction	73	(1)
Forces	74	(7)
Supports	81	(4)
Idealizing Structures	85	(1)
Free-Body Diagrams	86	(2)
Equations of Static Equilibrium	88	(6)
Equations of Condition	94	(3)
Influence of Reactions on Stability and Determinacy of Structures	97	(8)
Classifying Structures	105	(5)
Comparison Between Determinate and Indeterminate Structures	110	(11)
Summary	112	(9)
Trusses	121	(42)
Introduction	121	(3)
Types of Trusses	124	(1)
Analysis of Trusses	125	(1)
Method of Joints	126	(4)
Zero Bars	130	(1)
Method of Sections	131	(8)
Determinacy and Stability	139	(6)
Computer Analysis of Trusses	145	(18)
Summary	148	(15)
Beams and Frames	163	(62)
Introduction	163	(5)
Scope of Chapter	168	(1)
Equations for Shear and Moment	169	(7)
Shear and Moment Curves	176	(18)
Principle of Superposition	194	(4)
Sketching the Deflected Shape of a Beam or Frame	198	(5)
Degree of Indeterminacy	203	(22)
Summary	206	(19)
Cables	225	(16)
Introduction	225	(1)
Characteristics of Cables	226	(1)
Variation of Cable Force	227	(1)
Analysis of a Cable Supporting Gravity (Vertical) Loads	228	(1)
General Cable Theorem	229	(3)
Establishing the Funicular Shape of an Arch	232	(9)
Summary	235	(6)
Arches	241	(16)
Introduction	241	(1)
Types of Arches	241	(3)
Three-Hinged Arches	244	(1)
Funicular Shape for an Arch That Supports a Uniformly Distributed Load	245	(12)
Summary	250	(7)
Live Load Forces: Influence Lines for Determinate Structures	257	(52)
Introduction	257	(1)
Influence Lines	257	(1)
Construction of an Influence Line	258	(9)
The Muller-Breslau Principle	267	(3)
Use of Influence Lines	270	(3)
Influence Lines for Girders Supporting Floor Systems	273	(6)
Influence Lines for Trusses	279	(5)
Live Loads for Highway and Railroad Bridges	284	(3)
Increase--Decrease Method	287	(5)
Absolute Maximum Live Load Moment	292	(4)
Maximum Shear	296	(13)
Summary	297	(12)
Deflections of Beams and Frames	309	(54)
Introduction	309	(1)
Double Integration Method	309	(8)
Moment-Area Method	317	(19)
Elastic Load Method	336	(4)
Conjugate Beam Method	340	(9)
Design Aids for Beams	349	(14)
Summary	352	(11)
Work-Energy Methods for Computing Deflections	363	(58)
Introduction	363	(1)
Work	364	(2)
Strain Energy	366	(2)
Deflections by the Work-Energy Method (Real Work)	368	(2)
Virtual Work: Trusses	370	(17)
Virtual Work: Beams and Frames	387	(12)
Finite Summation	399	(2)
Bernoulli's Principle of Virtual Displacements	401	(3)
Maxwell-Betti Law of Reciprocal Deflections	404	(17)
Summary	408	(13)
Analysis of Indeterminate Structures by the Flexibility Method	421	(48)
Introduction	421	(1)
Concept of a Redundant	421	(1)
Fundamentals of the Flexibility Method	422	(4)
Alternative View of the Flexibility Method (Closing a Gap)	426	(9)
Analysis Using Internal Releases	435	(9)
Support Settlements, Temperature Change, and Fabrication Errors	444	(5)
Analysis of Structures with Several Degrees of Indeterminacy	449	(7)
Beam on Elastic Supports	456	(13)
Summary	459	(10)
Analysis of Indeterminate Beams and Frames by the Slope-Deflection Method	469	(44)
Introduction	469	(1)
Illustration of the Slope-Deflection Method	469	(2)
Derivation of the Slope-Deflection Equation	471	(7)
Analysis of Structures by the Slope-Deflection Method	478	(15)
Analysis of Structures That Are Free to Sidesway	493	(10)
Kinematic Indeterminacy	503	(10)
Summary	504	(9)
Moment Distribution	513	(62)
Introduction	513	(1)
Development of the Moment Distribution Method	514	(5)
Summary of the Moment Distribution Method with No Joint Translation	519	(1)
Analysis of Beams by Moment Distribution	520	(8)
Modification of Member Stiffness	528	(16)
Analysis of Frames That Are Free to Sidesway	544	(6)
Analysis of an Unbraced Frame for General Loading	550	(5)
Analysis of Multistory Frames	555	(1)
Nonprismatic Members	556	(19)
Summary	566	(9)
Indeterminate Structures: Influence Lines	575	(28)
Introduction	575	(1)
Construction of Influence Lines Using Moment Distribution	576	(4)
Muller--Breslau Principle	580	(2)
Qualitative Influence Lines for Beams	582	(7)
Live Load Patterns to Maximize Forces in Multistory Buildings	589	(14)
Summary	599	(4)
Approximate Analysis of Indeterminate Structures	603	(56)
Introduction	603	(2)
Approximate Analysis of a Continuous Beam for Gravity Load	605	(6)
Approximate Analysis of a Rigid Frame for Vertical Load	611	(4)
Approximate Analysis of a Continuous Truss	615	(6)
Estimating Deflections of Trusses	621	(2)
Trusses with Double Diagonals	623	(3)
Approximate Analysis of a Multistory Rigid Frame for Gravity Load	626	(9)
Analysis of Unbraced Frames for Lateral Load	635	(3)
Portal Method	638	(8)
Cantilever Method	646	(13)
Summary	651	(8)
Introduction to the General Stiffness Method	659	(24)
Introduction	659	(1)
Comparison Between Flexibility and Stiffness Methods	660	(5)
Analysis of an Indeterminate Beam by the General Stiffness Method	665	(18)
Summary	678	(5)
Matrix Analysis of Trusses by the Direct Stiffness Method	683	(32)
Introduction	683	(5)
Member and Structure Stiffness Matrices	688	(1)
Construction of a Member Stiffness Matrix for an Individual Truss Bar	688	(2)
Assembly of the Structure Stiffness Matrix	690	(3)
Solution of the Direct Stiffness Method	693	(4)
Member Stiffness Matrix of an Inclined Truss Bar	697	(12)
Coordinate Transformation of a Member Stiffness Matrix	709	(6)
Summary	710	(5)
Matrix Analysis of Beams and Frames by the Direct Stiffness Method	715	(42)
Introduction	715	(2)
Structure Stiffness Matrix	717	(1)
The 2 X 2 Rotational Stiffness Matrix for a Flexural Member	718	(11)
The 4 X 4 Member Stiffness Matrix in Local Coordinates	729	(10)
The 6 X 6 Member Stiffness Matrix in Local Coordinates	739	(9)
The 6 X 6 Member Stiffness Matrix in Global Coordinates	748	(2)
Assembly of a Structure Stiffness Matrix---Direct Stiffness Method	750	(7)
Summary	753	(4)
Appendix Review of Basic Matrix Operations	757	(12)
Glossary	769	(4)
Answers to Odd-Numbered Problems	773	(5)
Credits	778	(1)
Index	779