Fundamentals of Structural Analysis

by Leet, Kenneth; Uang, Chia-Ming

• ISBN13: 9780072453430
• ISBN10: 0072453435
• Edition: 1st
• Format: Hardcover
• Copyright: 2001-12-01
• Publisher: McGraw Hill College

Summary

"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.

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	(44)
Building and Design Code	27	(1)
Loads	28	(1)
Dead Loads	28	(8)
Live Loads	36	(7)
Wind Loads	43	(14)
Earthquake Forces	57	(5)
Other Loads	62	(1)
Load Combinations	63	(8)
Summary	64	(7)
Statics of Structures---Reactions	71	(48)
Introduction	71	(1)
Forces	72	(7)
Supports	79	(4)
Idealizing Structures	83	(1)
Free-Body Diagrams	84	(2)
Equations of Static Equilibrium	86	(6)
Equations of Condition	92	(3)
Influence of Reactions on Stability and Determinancy of Structures	95	(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