Fundamentals of Structural Analysis/Book and Disk

by West, Harry H.

• ISBN13: 9780471513544
• ISBN10: 0471513547
• Edition: Disk
• Format: Hardcover
• Copyright: 1992-12-01
• Publisher: John Wiley & Sons Inc

Summary

A pedagogically sound treatment concerning the concepts of structural analysis ranging from the classical method to modern matrix techniques. Progresses from simple structure types and analytical procedures to more complex structures and comprehensive methods. Stresses discrete problems of limited scope to demonstrate foundation principles that will facilitate understanding of more inclusive and powerful techniques. Includes both English and SI units.

Table of Contents

Part One Orientation	1	(82)
Introduction	3	(48)
Structure	4	(1)
Structural Engineering	5	(1)
History of Structural Engineering	5	(6)
The Engineering Design Process	11	(3)
Structural Analysis	14	(1)
Structural Form	15	(10)
Simplifications for Purposes of Analysis	25	(3)
Loading Conditions	28	(16)
Building Materials	44	(2)
Numerical Computations	46	(1)
Additional Reading	47	(1)
Suggested Problems	47	(4)
Basic Concepts of Structural Analysis	51	(32)
Forces	52	(1)
Specification of a Force	52	(2)
Free-Body Diagrams	54	(1)
Equations of Equilibrium	55	(2)
Condition Equations	57	(1)
Displacements	58	(1)
Compatibility	59	(1)
Boundary Conditions	60	(1)
Principle of Superposition	61	(2)
Work	63	(2)
Complementary Work	65	(2)
Principle of Virtual Displacements	67	(2)
Virtual Work for a Deformable Body	69	(2)
Complementary Virtual Work for a Deformable Body	71	(1)
Application of Virtual Methods	72	(1)
Principle of Stationary Total Potential Energy	73	(2)
Principle of Stationary Total Complementary Potential Energy	75	(2)
Stiffness and Flexibility	77	(2)
Maxwell's and Betti's Laws	79	(2)
Additional Reading	81	(2)
Part Two Analysis of Statically Determinate Structures	83	(188)
Reactions	85	(39)
Reaction Forces for Planar Structures	86	(2)
Support Conditions: Real versus Idealized	88	(1)
Statical Determinacy and Stability for Planar Structures	88	(3)
Computation of Reactions Using Equations of Equilibrium	91	(6)
Condition Equations for Planar Structures	97	(5)
Computation of Reactions by Virtual Methods	102	(3)
Reaction Forces for Nonplanar Structures	105	(1)
External Statical Determinacy and Stability for Nonplanar Structures	106	(2)
Computation of Reactions for Nonplanar Structures	108	(5)
Variations in Boundary Conditions	113	(2)
Additional Reading	115	(1)
Suggested Problems	115	(9)
Member Forces in Trusses	124	(59)
Planar Truss Structures	125	(1)
Idealizations for Planar Trusses	125	(2)
Variations in Planar Truss Configuration	127	(2)
Truss Joint Identification and Member Force Representation	129	(1)
Sign Convention and Member Force Representation	130	(1)
Strategy for Planar Truss Analysis	131	(1)
Condition Equations	132	(2)
Statical Determinacy and Stability of Planar Trusses	134	(4)
Numerical Truss Analysis Problems	138	(8)
Complex Planar Trusses	146	(1)
Nonplanar Truss-Type Space Frameworks	147	(1)
Variations in Framework Configurations	147	(3)
Joint Identification. Member Force Notation, and Sign Convention	150	(1)
Overall Statical Determinacy and Stability of Space Frameworks	151	(2)
Analysis of Truss-Type Space Frameworks	153	(8)
Complex Frameworks	161	(1)
General Formulation of Truss/Framework Analysis	162	(9)
Computer Program for Truss/Framework Analysis	171	(3)
Additional Reading	174	(1)
Suggested Problems	174	(9)
Member Forces in Beams and Frames	183	(49)
Beam and Frame Structures	184	(1)
Internal Forces for Flexural Members	184	(2)
Notation and Sign Convention	186	(1)
Statical Determinacy and Stability of Beam and Frame Structures	187	(1)
Determination of Internal Forces	188	(5)
Relationships between Load, Shear, and Bending Moment	193	(2)
Shear and Moment Diagrams	195	(6)
Qualitative Deflected Structures	201	(1)
Detailed Construction of V & M Diagrams	201	(4)
Example Shear and Moment Diagram Problems	205	(9)
Shear and Moment Diagrams for Statically Indeterminate Structures	214	(4)
Internal Forces for Nonplanar Structures	218	(1)
Member Force Notation and Sign Convention	218	(2)
Internal Force Diagrams for Nonplanar Structures	220	(2)
Computer Program for Computation of Shears and Moments in Flexural Members	222	(2)
Additional Reading	224	(1)
Suggested Problems	225	(7)
Influence Lines	232	(39)
Variable Loadings	233	(1)
Variation in Response Function with Position of Load: Influence Line	233	(1)
Influence Lines by Equilibrium Methods	234	(11)
Influence Lines by Virtual Work: Muller-Breslau Principle	245	(5)
Use of Influence Lines	250	(5)
Maximum Response Functions in Beams	255	(10)
Additional Reading	265	(1)
Suggested Problems	265	(6)
Part Three Elastic Deflections of Structures	271	(98)
Elastic Deflections of Trusses and Frameworks	273	(30)
Description of Truss Deflection Problem	274	(1)
Axial Force-Deformation Relationships	274	(3)
Truss Deflections by Complementary Virtual Work	277	(2)
Application of Complementary Virtual Work Method	279	(8)
Deflections of Space Frameworks	287	(3)
Truss Deflections by Energy Methods	290	(4)
Computer Program for Determination of Truss Deflections	294	(2)
Additional Reading	296	(1)
Suggested Problems	297	(6)
Elastic Deflections of Beam and Frame Structures	303	(66)
Description of Flexural Deformation Problem	304	(1)
Flexural Force-Deformation Relationships	304	(5)
Integration Method	309	(6)
Moment-Area Method	315	(2)
Application of Moment-Area Method	317	(12)
The Elastic Load Method	329	(6)
The Conjugate Beam Method	335	(6)
Beam and Frame Deflections by Complementary Virtual Work	341	(6)
Deflections for Nonplanar Beam and Frame Structures	347	(6)
Beam and Frame Deflections by Energy Methods	353	(2)
Computer Program for Determination of Deflections for Flexural Members	355	(3)
Additional Reading	358	(1)
Suggested Problems	358	(11)
Part Four Analysis of Statically Indeterminate Structures	369	(166)
More Basic Concepts of Structural Analysis	371	(19)
Requirements and Limitations of Equilibrium	372	(1)
Static Indeterminacies; Redundancies	373	(2)
Requirements and Limitations of Compatibility	375	(2)
Kinematic Indeterminacies; Redundancies	377	(1)
Alternative Form of Analysis	378	(4)
Static versus Kinematic Indeterminacy	382	(1)
Compatibility Method of Analysis	382	(2)
Equilibrium Method of Analysis	384	(1)
Behavioral Characteristics of Statically Indeterminate Structures	385	(4)
Additional Reading	389	(1)
Method of Consistent Deformations (and other Compatibility Methods)	390	(57)
Nature of Compatibility Methods	391	(1)
Redundancies: External versus Internal	391	(1)
Determination of Redundant Reactions	391	(5)
Application of the Method of Consistent Deformations	396	(10)
Support Settlements and Elastic Supports	406	(7)
Determination of Redundant Member Forces for Beam-Type Structures	413	(2)
The Three-Moment Equation	415	(2)
Application of the Three-Moment Equation	417	(3)
Self-Straining Problems	420	(6)
Determination of Redundant Member Forces for Truss Structures	426	(6)
Compatibility Equations by Energy Methods	432	(6)
Additional Reading	438	(1)
Suggested Problems	438	(9)
Slope Deflection Method (and Other Equilibrium Methods)	447	(51)
Nature of Equilibrium Methods	448	(1)
The Slope Deflection Equation	449	(3)
Interpretation of the Slope Deflection Equation	452	(1)
Slope Deflection Method for Beam Problems	453	(2)
Slope Deflection Method for Frame Problems	455	(3)
Application of the Slope Deflection Method	458	(8)
Temperature Change	466	(3)
Problem Variations	469	(2)
Equilibrium Method for Truss Analysis	471	(7)
Equilibrium Equations by Energy Methods	478	(7)
Computer Program for Slope Deflection Method of Analysis	485	(5)
Additional Reading	490	(1)
Suggested Problems	490	(8)
Moment Distribution Method	498	(37)
Solution Techniques for Equilibrium Methods	499	(1)
Iterative Methods	499	(2)
Physical Interpretation of Iterative Solutions	501	(1)
Moment Distribution Method for Beam Problems	502	(3)
Application of Moment Distribution Method to Beam Problems	505	(7)
Modifications in Moment Distribution Method	512	(3)
Application to Beam Problems Using Modifications	515	(3)
Moment Distribution Method for Frame Problems	518	(4)
Application of Moment Distribution Method to Frame Problems	522	(10)
Additional Reading	532	(1)
Suggested Problems	532	(3)
Part Five Matrix Methods of Analysis	535	(136)
Member Force-Deformation Relations	537	(25)
Significance of Member Interactive Relationships	538	(1)
Member Stiffnesses	538	(2)
Member Flexibilities	540	(1)
Relationship Between Member Stiffness and Flexibility Matrices	541	(2)
Structure and Member Coordinate Systems	543	(2)
Member Flexibility Matrix	545	(3)
Member Stiffness Matrix	548	(5)
Some Observations on the Stiffness Matrix	553	(1)
Flexibility-Stiffness Transformations	554	(4)
Alternative Member Coordinate Systems	558	(1)
Additional Reading	559	(1)
Suggested Problems	560	(2)
Stiffness Method	562	(65)
Fundamental Concepts of Stiffness Method	563	(1)
Overview of Stiffness Method	563	(3)
Generation of Structure Stiffness Matrix	566	(3)
Compatibility Matrices	569	(3)
Application of Stiffness Method	572	(16)
Loads Applied Between Node Points-Equivalent Structure Forces	588	(8)
Self-Straining Problems	596	(9)
Direct Stiffness Method	605	(4)
Further Observations About Stiffness Equations	609	(1)
Generation of [K]	610	(4)
Computer Program for Stiffness Method of Analysis	614	(4)
Additional Reading	618	(1)
Suggested Problems	618	(9)
Flexibility Method	627	(44)
Fundamental Concepts of Flexibility Method	628	(1)
Overview of the Flexibility Method	628	(2)
Equilibrium Matrices	630	(1)
Generation of Structure Flexibility Matrix	631	(1)
Application of the Flexibility Method	632	(12)
Internally Redundant Structures	644	(6)
Loads Applied Between Node Points	650	(9)
Self-Straining Problems	659	(3)
Generation of [b] Matrices	662	(4)
Choice of Redundants	666	(2)
Comparisons Between Flexibility and Stiffness Methods	668	(1)
Additional Reading	668	(1)
Suggested Problems	669	(2)
Appendices	671	(20)
A.1 Systems of Units	672	(4)
A.2 Computer Programs	676	(6)
A.3 Answers to Selected Problems	682	(9)
Index	691