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Structural Analysis 2
Statically Indeterminate Structures
Salah Khalfallah
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eBook - ePub
Structural Analysis 2
Statically Indeterminate Structures
Salah Khalfallah
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About This Book
This book enables the student to master the methods of analysis of isostatic and hyperstatic structures. To show the performance of the methods of analysis of the hyperstatic structures, some beams, gantries and reticular structures are selected and subjected to a comparative study by the different methods of analysis of the hyperstatic structures. This procedure provides an insight into the methods of analysis of the structures.
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1
Introduction to Statically Indeterminate Structural Analysis
The teaching objectives of this chapter are as follows:
- ā the importance and usefulness of statically indeterminate structures;
- ā calculating the degree of external and internal static indeterminacy of the structures;
- ā analyzing kinematic static indeterminacy;
- ā illustrating the strengths and weaknesses of statically indeterminate structures.
In the first part, we give a general introduction to the methods of analyzing statically indeterminate structures. In this context, we describe the external, internal and kinematic static indeterminacies of the structures. In the second part, we illustrate the analysis methods for statically indeterminate structures. Lastly, we list the advantages and disadvantages of statically indeterminate structures.
1.1. Introduction
Structures are grouped into two categories: (1) statically determinate structures and (2) statically indeterminate structures. The static equations are not sufficient for analyzing statically indeterminate structures. In this case, the number of unknowns is strictly greater than the number of independent equilibrium equations.
The primary role of analysis of a statically indeterminate structure is to remove the static indeterminacy of the given structure. This removal means that we can calculate the support reactions and the internal actions when the structure is solicited by mechanical loads, or subjected to deflections, and/or undergoing a support settlement. The analysis methods for statically indeterminate structures are used here to make the number of unknowns equal to the number of equations, which allows the problem to be solved.
This book is particularly devoted to the analysis of statically indeterminate structures. To present the differences between the analysis methods for statically indeterminate structures, the problems we consider generally have a common object across the analysis methods. In this context, each chapter illustrates the theoretical foundation of the analytical method, presented in detail and accompanied by a series of numerical examples.
1.2. External static indeterminacy
The purpose of struct...