Static Analysis of Determinate and Indeterminate Structures

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Static Analysis of Determinate and Indeterminate Structures by Kenneth Derucher

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The title of this book is Static Analysis of Determinate and Indeterminate Structures, and not “Structural Analysis”. The title is a bit unique as we want to specify that this is a static analysis (as opposed to dynamic analysis) of both determinate and indeterminate structures. Many textbooks have been written on structural analysis over the past several years with a twofold composition. They essentially deal with analysis of statically determinate structures followed by analysis of statically indeterminate structures using the force method, displacement methods (classical methods such as moment distribution), and the stiffness method. Thus, the material covered in existing textbooks on structural analysis contains more than what is necessary to learn indeterminate structural analysis. As a result, these books become bulky and all their material cannot, and need not, be covered in a single course on indeterminate structural analysis. Moreover, these books rarely include an as- needed discussion of the unit load method, which is arguably the best method to calculate deflections when solving problems by the force method. Hence, the authors set out to create this book.


The first part of this book essentially deals with the analysis of determinate structures (in a total of five chapters). The second part of the book deals with the analysis of indeterminate structures by force method, displacement methods stiffness method (in a total of seven chapters).


The first chapter deals with solving reactions using equations of force. The second chapter deals with deflections of statically determinate beams and frames. The third chapter deals with deflections of statically determinate trusses. The fourth chapter deals with shear force and bending moment diagrams for beams. The fifth chapter deals with influence lines for statically determinate structures. The emphasis is mainly on beams.


The sixth chapter deals with application of the force method to analysis of beam, frame, and truss structures. The unit load method is discussed with reference to the analysis of statically indeterminate structures. A few examples are discussed to illustrate these concepts. The seventh and eighth chapters deal with analysis of indeterminate structures by displacement methods. In Chapter 7, the concepts of slope- deflection method are developed and applied to beam and frame structures. The eighth chapter deals with developments of concepts of the moment distribution method. These concepts are then applied to beam and frame structures. The ninth chapter develops the concepts of the stiffness method. These are subsequently applied to beam structures. The tenth and eleventh chapters deal with application of the stiffness method to frame and truss structures, respectively. The 12th chapter deals with approximate analysis of indeterminate structures. Throughout the book, illustrative examples are discussed under each method. The intent is to cover as much material as is needed conceptually with minimal and yet sufficient examples so that students can understand indeterminate structural analysis methods without being overwhelmed. In this way, the book is kept less bulky compared to existing books on structural analysis. In addition, keeping the textbook concise will reduce the price far below that of existing textbooks, saving money for students. We believe that this will be a big selling point because the amount of material covered is not compromised in covering the material in a concise manner. This is in addition to the fact that this book is written by four full professors of Civil Engineering who have had vast experience in teaching and research in the area of structural analysis.


It is hoped that this experience is reflected in the write- up of this book so that it serves our twofold objective. First, we hope that the instructor following this book as a textbook for his/ her course on determinate or indeterminate structural analysis feels that all the required material is indeed covered in this textbook. Second, we hope that students taking this course will find the book and material covered inside easy to understand.


The authors are thankful to Mr. Kyle Anderson and Mr. AnhDuong Le, former graduate students in the Department of Civil and Environmental Engineering at California State University, Fullerton, for going through the manuscript and making constructive comments in Part II of the book dealing with indeterminate structural analysis. We also appreciate the editing work done by Mr. Alexander Motzny, undergraduate student in the Department of Civil and Environmental Engineering at California State University, Fullerton.


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