THEORY OF STRUCTURES /
In the preparation of this book, the authors have tried to keep la view the fact that “Theory of Structures'^ is based on mechanics with which the student is already familiar. Every effort has been made to show him that the methods of analysis used in “Theory of Structures^ are only a further d...
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Format: | text |
Language: | eng |
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New York : McGraw-Hill, Inc.,
1965
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author | Timoshenko, Stephen, 1878-1972, author 342937 Young, Donovan Harold, 1904-, author 311182 |
author_facet | Timoshenko, Stephen, 1878-1972, author 342937 Young, Donovan Harold, 1904-, author 311182 |
author_sort | Timoshenko, Stephen, 1878-1972, author 342937 |
collection | OCEAN |
description | In the preparation of this book, the authors have tried to keep la view the fact that “Theory of Structures'^ is based on mechanics with which the student is already familiar. Every effort has been made to show him that the methods of analysis used in “Theory of Structures^ are only a further development of the general principles of mechanics that he already knows. It is believed that this establishment of a close connection between the teaching of mechanics and structures can be most helpful to the student in understanding the various practical methods of analysis of trusses and frames. In fact, such a complete understanding is necessary for a successful application and adaptation of theoretical knowledge to the solution of various practical problems. With the above point of view, the first chapter was prepared as an introduction to the “Theory of Structures,” in which the basic principles of statics are recapitulated. At the same time the examples of this chapter are chosen to illustrate the adaptation of these principles to the solution of practical problems in the analysis of simple structures. The second chapter is devoted to the analysis of statically determinate trusses in one plane. Here the generally accepted methods of analysis of plane trusses are discussed in full detail and their application illustrated by examples. The final articles of this chapter develop the general theory of plane trusses and establish the conditions under which a truss can be statically determinate and geometrically rigid. Rapidly developing industry continually brings to the structural engineer new forms of trusses, and it is considered important to give to the younger generation of engineers a broader understanding of the basic properties and functions of truss systems. The third chapter deals with influence lines. Beginners usually find some difficulty with this subject, and to meet their needs considerable space is given to the discussion of influence lines for beams before the question of influence lines for trusses is taken up. In this connection many examples of both simple and compound beams are discussed in full detail. Here, the fundamental statical principle of virtual displacements can be used to advantage, and several applications of this principle are demonstrated by practical examples. After the discussions of influence lines for beams, the more complex influence diagrams for various trusses can be followed with little difficulty. The fourth chapter is devoted to the question of formation and analysis of space trusses with hinged joints. Practicing engineers frequently reduce such problems to the analysis of plane trusses, but this , is kot always possible and it is considered desirable to discuss the general theory' of space trusses in some detail. Several general methods of attack:, for complex space trusses are discussed in the later articles of this chaste 5 together with completely worked-out examples. The fifth chapter, like the first, is a recapitulation of general principles of mechanics, in this case preparatory to the analysis of statically indeterminate structures. Here the development of the expressions for y strain energy is followed by the establishment of such broad general principles as the principle of least work, the principle of superposition, Castigliano^s theorem, and MaxwelFs reciprocal theorem. The aim of this chapter is to give a general discussion of principles, together with elementary applications, before methods of analysis of complicated statically indeterminate systems are discussed. The sixth chapter deals with methods of calculating deflections of trusses. Here will be found developments and applications of the Castigliano and Maxwell-Mohr methods and of the Williot diagram. Methods of fictitious loading are discussed at the end of this chapter. In the seventh chapter the theory of statically indeterminate trusses is presented. Various methods of computing redundant reactions and forces in redundant members of such trusses are given in detail, together with examples of their application. The construction of influence diagrams for statically indeterminate trusses is also considered at the end of this chapter. The eighth chapter takes up the question of bending of beams and frames. This chapter begins with a development of the slope-deflection equations for prismatic beams and discusses the application of these equations to the analysis of statically indeterminate beams and continuous beams on many supports. Still further application of these equations is shown in the analysis of frames. Frames both with and without lateral restraint are considered, and it is shown in each case how the equations for computing redundant end moments can be written. Further discussion considers the solution of these equations by methods of successive approximation and illustrates the application of this method of analysis to multiple-story frames. The adaptation of the method of successive approximations to the calculation of secondary stresses in trusses is also presented. The chapter is concluded with a discussion of beams of variable cross section, the corresponding slopedeflection equations being developed and applied to the analysis of continuous beams and frames containing members of variable cross section. The last chapter contains a treatment of the theory of arches. First; for various shapes of the arch, there is a discussion of the accuracy of the usual arch theory in which the effects of shearing forces and curvature of the arch on deflections are neglected. Thereafter considerable space is given to a discussion of symmetrical arches, the center lines of which coincide with the funicular curves for dead load. In conclusion, nonsymmetrical arches and rings are considered. To facilitate reading of the book by the beginner, tw^o sizes of type have been used. Material printed in small type can be omitted in a first reading. A sufficient number of unsolved examples is included tc furnish the student with ample exercise in the solution of problems. Some of these problems are with answers, some without. In the preparation of this book the senior author’s earlier Russian book ('^Theory of Structures,” by S. Timoshenko, 2d ed., St. Petersburg, 1926) was extensively used. Acknowledgment is also due to Otto Mohr’s ^'Abhandlugen aus dem Gebiete der technischen Mechanik” and H. Mtiller-Breslau’s, '^Die graphische Statik derBaukonstruktionen.” In conclusion the authors take this opportunity to express their thanks to Mrs. Evelyn Sarson for her care in typing the manuscript. |
first_indexed | 2024-03-04T22:24:14Z |
format | text |
id | KOHA-OAI-TEST:198296 |
institution | Universiti Teknologi Malaysia - OCEAN |
language | eng |
last_indexed | 2024-07-04T04:39:07Z |
publishDate | 1965 |
publisher | New York : McGraw-Hill, Inc., |
record_format | dspace |
spelling | KOHA-OAI-TEST:1982962024-04-29T07:44:00ZTHEORY OF STRUCTURES / Timoshenko, Stephen, 1878-1972, author 342937 Young, Donovan Harold, 1904-, author 311182 textNew York : McGraw-Hill, Inc.,1965©1965engIn the preparation of this book, the authors have tried to keep la view the fact that “Theory of Structures'^ is based on mechanics with which the student is already familiar. Every effort has been made to show him that the methods of analysis used in “Theory of Structures^ are only a further development of the general principles of mechanics that he already knows. It is believed that this establishment of a close connection between the teaching of mechanics and structures can be most helpful to the student in understanding the various practical methods of analysis of trusses and frames. In fact, such a complete understanding is necessary for a successful application and adaptation of theoretical knowledge to the solution of various practical problems. With the above point of view, the first chapter was prepared as an introduction to the “Theory of Structures,” in which the basic principles of statics are recapitulated. At the same time the examples of this chapter are chosen to illustrate the adaptation of these principles to the solution of practical problems in the analysis of simple structures. The second chapter is devoted to the analysis of statically determinate trusses in one plane. Here the generally accepted methods of analysis of plane trusses are discussed in full detail and their application illustrated by examples. The final articles of this chapter develop the general theory of plane trusses and establish the conditions under which a truss can be statically determinate and geometrically rigid. Rapidly developing industry continually brings to the structural engineer new forms of trusses, and it is considered important to give to the younger generation of engineers a broader understanding of the basic properties and functions of truss systems. The third chapter deals with influence lines. Beginners usually find some difficulty with this subject, and to meet their needs considerable space is given to the discussion of influence lines for beams before the question of influence lines for trusses is taken up. In this connection many examples of both simple and compound beams are discussed in full detail. Here, the fundamental statical principle of virtual displacements can be used to advantage, and several applications of this principle are demonstrated by practical examples. After the discussions of influence lines for beams, the more complex influence diagrams for various trusses can be followed with little difficulty. The fourth chapter is devoted to the question of formation and analysis of space trusses with hinged joints. Practicing engineers frequently reduce such problems to the analysis of plane trusses, but this , is kot always possible and it is considered desirable to discuss the general theory' of space trusses in some detail. Several general methods of attack:, for complex space trusses are discussed in the later articles of this chaste 5 together with completely worked-out examples. The fifth chapter, like the first, is a recapitulation of general principles of mechanics, in this case preparatory to the analysis of statically indeterminate structures. Here the development of the expressions for y strain energy is followed by the establishment of such broad general principles as the principle of least work, the principle of superposition, Castigliano^s theorem, and MaxwelFs reciprocal theorem. The aim of this chapter is to give a general discussion of principles, together with elementary applications, before methods of analysis of complicated statically indeterminate systems are discussed. The sixth chapter deals with methods of calculating deflections of trusses. Here will be found developments and applications of the Castigliano and Maxwell-Mohr methods and of the Williot diagram. Methods of fictitious loading are discussed at the end of this chapter. In the seventh chapter the theory of statically indeterminate trusses is presented. Various methods of computing redundant reactions and forces in redundant members of such trusses are given in detail, together with examples of their application. The construction of influence diagrams for statically indeterminate trusses is also considered at the end of this chapter. The eighth chapter takes up the question of bending of beams and frames. This chapter begins with a development of the slope-deflection equations for prismatic beams and discusses the application of these equations to the analysis of statically indeterminate beams and continuous beams on many supports. Still further application of these equations is shown in the analysis of frames. Frames both with and without lateral restraint are considered, and it is shown in each case how the equations for computing redundant end moments can be written. Further discussion considers the solution of these equations by methods of successive approximation and illustrates the application of this method of analysis to multiple-story frames. The adaptation of the method of successive approximations to the calculation of secondary stresses in trusses is also presented. The chapter is concluded with a discussion of beams of variable cross section, the corresponding slopedeflection equations being developed and applied to the analysis of continuous beams and frames containing members of variable cross section. The last chapter contains a treatment of the theory of arches. First; for various shapes of the arch, there is a discussion of the accuracy of the usual arch theory in which the effects of shearing forces and curvature of the arch on deflections are neglected. Thereafter considerable space is given to a discussion of symmetrical arches, the center lines of which coincide with the funicular curves for dead load. In conclusion, nonsymmetrical arches and rings are considered. To facilitate reading of the book by the beginner, tw^o sizes of type have been used. Material printed in small type can be omitted in a first reading. A sufficient number of unsolved examples is included tc furnish the student with ample exercise in the solution of problems. Some of these problems are with answers, some without. In the preparation of this book the senior author’s earlier Russian book ('^Theory of Structures,” by S. Timoshenko, 2d ed., St. Petersburg, 1926) was extensively used. Acknowledgment is also due to Otto Mohr’s ^'Abhandlugen aus dem Gebiete der technischen Mechanik” and H. Mtiller-Breslau’s, '^Die graphische Statik derBaukonstruktionen.” In conclusion the authors take this opportunity to express their thanks to Mrs. Evelyn Sarson for her care in typing the manuscript.Bibliographical footnotes.In the preparation of this book, the authors have tried to keep la view the fact that “Theory of Structures'^ is based on mechanics with which the student is already familiar. Every effort has been made to show him that the methods of analysis used in “Theory of Structures^ are only a further development of the general principles of mechanics that he already knows. It is believed that this establishment of a close connection between the teaching of mechanics and structures can be most helpful to the student in understanding the various practical methods of analysis of trusses and frames. In fact, such a complete understanding is necessary for a successful application and adaptation of theoretical knowledge to the solution of various practical problems. With the above point of view, the first chapter was prepared as an introduction to the “Theory of Structures,” in which the basic principles of statics are recapitulated. At the same time the examples of this chapter are chosen to illustrate the adaptation of these principles to the solution of practical problems in the analysis of simple structures. The second chapter is devoted to the analysis of statically determinate trusses in one plane. Here the generally accepted methods of analysis of plane trusses are discussed in full detail and their application illustrated by examples. The final articles of this chapter develop the general theory of plane trusses and establish the conditions under which a truss can be statically determinate and geometrically rigid. Rapidly developing industry continually brings to the structural engineer new forms of trusses, and it is considered important to give to the younger generation of engineers a broader understanding of the basic properties and functions of truss systems. The third chapter deals with influence lines. Beginners usually find some difficulty with this subject, and to meet their needs considerable space is given to the discussion of influence lines for beams before the question of influence lines for trusses is taken up. In this connection many examples of both simple and compound beams are discussed in full detail. Here, the fundamental statical principle of virtual displacements can be used to advantage, and several applications of this principle are demonstrated by practical examples. After the discussions of influence lines for beams, the more complex influence diagrams for various trusses can be followed with little difficulty. The fourth chapter is devoted to the question of formation and analysis of space trusses with hinged joints. Practicing engineers frequently reduce such problems to the analysis of plane trusses, but this , is kot always possible and it is considered desirable to discuss the general theory' of space trusses in some detail. Several general methods of attack:, for complex space trusses are discussed in the later articles of this chaste 5 together with completely worked-out examples. The fifth chapter, like the first, is a recapitulation of general principles of mechanics, in this case preparatory to the analysis of statically indeterminate structures. Here the development of the expressions for y strain energy is followed by the establishment of such broad general principles as the principle of least work, the principle of superposition, Castigliano^s theorem, and MaxwelFs reciprocal theorem. The aim of this chapter is to give a general discussion of principles, together with elementary applications, before methods of analysis of complicated statically indeterminate systems are discussed. The sixth chapter deals with methods of calculating deflections of trusses. Here will be found developments and applications of the Castigliano and Maxwell-Mohr methods and of the Williot diagram. Methods of fictitious loading are discussed at the end of this chapter. In the seventh chapter the theory of statically indeterminate trusses is presented. Various methods of computing redundant reactions and forces in redundant members of such trusses are given in detail, together with examples of their application. The construction of influence diagrams for statically indeterminate trusses is also considered at the end of this chapter. The eighth chapter takes up the question of bending of beams and frames. This chapter begins with a development of the slope-deflection equations for prismatic beams and discusses the application of these equations to the analysis of statically indeterminate beams and continuous beams on many supports. Still further application of these equations is shown in the analysis of frames. Frames both with and without lateral restraint are considered, and it is shown in each case how the equations for computing redundant end moments can be written. Further discussion considers the solution of these equations by methods of successive approximation and illustrates the application of this method of analysis to multiple-story frames. The adaptation of the method of successive approximations to the calculation of secondary stresses in trusses is also presented. The chapter is concluded with a discussion of beams of variable cross section, the corresponding slopedeflection equations being developed and applied to the analysis of continuous beams and frames containing members of variable cross section. The last chapter contains a treatment of the theory of arches. First; for various shapes of the arch, there is a discussion of the accuracy of the usual arch theory in which the effects of shearing forces and curvature of the arch on deflections are neglected. Thereafter considerable space is given to a discussion of symmetrical arches, the center lines of which coincide with the funicular curves for dead load. In conclusion, nonsymmetrical arches and rings are considered. To facilitate reading of the book by the beginner, tw^o sizes of type have been used. Material printed in small type can be omitted in a first reading. A sufficient number of unsolved examples is included tc furnish the student with ample exercise in the solution of problems. Some of these problems are with answers, some without. In the preparation of this book the senior author’s earlier Russian book ('^Theory of Structures,” by S. Timoshenko, 2d ed., St. Petersburg, 1926) was extensively used. Acknowledgment is also due to Otto Mohr’s ^'Abhandlugen aus dem Gebiete der technischen Mechanik” and H. Mtiller-Breslau’s, '^Die graphische Statik derBaukonstruktionen.” In conclusion the authors take this opportunity to express their thanks to Mrs. Evelyn Sarson for her care in typing the manuscript.A. Karim Akitek;Structural analysis (Engineering)URN:ISBN:070648689 |
spellingShingle | Structural analysis (Engineering) Timoshenko, Stephen, 1878-1972, author 342937 Young, Donovan Harold, 1904-, author 311182 THEORY OF STRUCTURES / |
title | THEORY OF STRUCTURES / |
title_full | THEORY OF STRUCTURES / |
title_fullStr | THEORY OF STRUCTURES / |
title_full_unstemmed | THEORY OF STRUCTURES / |
title_short | THEORY OF STRUCTURES / |
title_sort | theory of structures |
topic | Structural analysis (Engineering) |
work_keys_str_mv | AT timoshenkostephen18781972author342937 theoryofstructures AT youngdonovanharold1904author311182 theoryofstructures |