Braced Frameworks

Preface


1 Basic Concepts


1.1 Function and Failure


1.2 Analysis and Synthesis


1.3 Equilibrium


1.4 Compatibility


1.5 Environment and Deformation


1.6 Statical Determinacy


1.7 Methods of Structural Analysis


1.8 Braced and Non-braced Frames Examples


2 Statically Determinate Trusses


2.1 Introduction


2.2 Pin-Joints and Pin-Ended Members


2.3 Equilibrium at Joints and Supports


2.4 The Forces in the Members of a Truss


2.4.1 Successive Resolution at the Joints


2.4.2 Polygons of Forces at the Joints


2.4.3 Maxwell Diagrams and Bow's Notation


2.4.4 Method of Sections


2.4.5 Henneberg's Method


2.4.6 Tension Coefficients


2.5 Conditions for Statical Determinacy


2.6 Superposition of Loads on a Truss


2.7 Influence Lines


2.8 The Displacements of Trusses


2.8.1 Displacement Diagrams


2.8.2 Algebraic Solution


2.8.3 Virtual Work


2.9 Hooke's Law and the Superposition of Displacements


2.10 Properties of Symmetrical Structures


2.11 Maxwell's Reciprocal Theorem Examples


3 Redundant Trusses


3.1 Introduction


3.2 Number and Choice of Redundancies


3.3 Direct Comparison of Lengths


3.4 Energy Methods


3.4.1 The Energies of a Structure


3.4.2 Energy Theorems


3.4.3 The Energies of Linear-Elastic Bars


3.5 Solution by Energy Methods


3.6 Relaxation Methods Examples


4 Secondary Stresses and the Failure of Braced Frameworks


4.1 Analytical Assumptions


4.2 Members Subjected to End Load and Bending


4.3 Solution by Slope-Deflection Equations


4.4 Solution by Moment Distribution


4.5 The Failure of Braced Frameworks


4.5.1 Types of Failure


4.5.2 Criteria of Safety


4.5.3 Failure of an Individual Member


4.5.4 Failure of a Joint


4.5.5 Failure of a Complete Structure Examples


5 Minimum Weight Frameworks


5.1 Maxwell's Lemma


5.2 Michell's Theorem


5.3 The Form of the Optimum Structure


5.4 Michell Frameworks


5.5 The Symmetrical Three-force System


5.6 Graphical Methods Examples

Answers to Examples

References

Index