Advanced Methods of Structural Analysis

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Introduction The subject and purposes of the Theory of Structures in the broad sense is the branch of applied engineering that d ...

xxii Introduction Types of Analysis Analysis of any structure may be performed based on some assumptions. These assumptions refl ...

Introduction xxiii Stressed free-vibration analysis. The purpose of this analysis is to determine the eigenvalues and correspond ...

xxiv Introduction The second approach assumes that a structure is subjected to unit concentrated moving load only. This load is ...

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Part I Statically Determinate Structures ...

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Chapter 1 Kinematical Analysis of Structures Kinematical analysis of a structure is necessary for evaluation of ability of the s ...

4 1 Kinematical Analysis of Structures Fig. 1.1 Types of the rigid discs Ta b l e 1. 1 Types of connections of rigid discs and t ...

1.2 Generation of Geometrically Unchangeable Structures 5 “unchangeable structure” instead of “stable structure,” and term “chan ...

6 1 Kinematical Analysis of Structures Case 1.4a may be presented as shown in Fig.1.4c: additional jointAis attached to rigid di ...

1.3 Analytical Criteria of the Instantaneously Changeable Structures 7 1.3 Analytical Criteria of the Instantaneously Changeable ...

8 1 Kinematical Analysis of Structures 1.IfaD 0 , then for any external loadPthe reaction of the left support is infinitely larg ...

1.3 Analytical Criteria of the Instantaneously Changeable Structures 9 a A B C b A B C A c B C Fig. 1.10 (a) Geometrically uncha ...

10 1 Kinematical Analysis of Structures Equilibrium conditions for jointsA,1,andBand corresponding results are pre- sented below ...

1.4 Degrees of Freedom 11 Equilibrium conditions leads to the following results: JointA: X YD 0 W RAN 1 sin'D 0 !N 1 D RA sin' ...

12 1 Kinematical Analysis of Structures b c 1 2 d 1 2 a 23 5 6710 1 4 8 9 Fig. 1.13 Different ways of truss formation. For cases ...

Problems 13 However, the assembly of the elements is wrong and therefore, this system can- not be considered as engineering stru ...

14 1 Kinematical Analysis of Structures a b c Fig. P1.4 a b c Fig. P1.5 ...