Fundamentals of Structural Analysis

This book is intended for the use of individual students and teachers. No part of this book may be reproduced, in any form or by any means, for commercial purposes, without permission in writing from the author. | Fundamentals of Structural Analysis S. T. Mau Copyright registration number TXu1-086-529 February 17 2003. United States Copyright Office The Library of Congress This book is intended for the use of individual students and teachers. No part of this book may be reproduced in any form or by any means for commercial purposes without permission in writing from the author. ii Contents Preface v Truss Analysis Matrix Displacement Method 1 1. What is a Truss 1 2. A Truss Member 3 3. Member Stiffness Equation in Global Coordinates 4 Problem 1. 11 4. Unconstrained Global Stiffness Equation 11 5. Constrained Global Stiffness Equation and Its Solution 17 Problem 2. 19 6. Procedures of Truss Analysis 20 Problem 3. 27 7. Kinematic Stability 27 Problem 4. 29 8. Summary 30 Truss Analysis Force Method Part I 31 1. Introduction 31 2. Statically Determinate Plane Truss types 31 3. Method of Joint and Method of Section 33 Problem 1. 43 Problem 2. 55 4. Matrix Method of Joint 56 Problem 3. 61 Problem 4. 66 Truss Analysis Force Method Part II 67 5. Truss Deflection 67 Problem 5. 81 6. Indeterminate Truss Problems - Method of Consistent Deformations 82 7. Laws of Reciprocity 89 8. Concluding Remarks 90 Problem 6. 91 Beam and Frame Analysis Force Method Part I 93 1. What are Beams and Frames 93 2. Statical Determinacy and Kinematic Stability 94 Problem 1. 101 3. Shear and Moment Diagrams 102 4. Statically Determinate Beams and Frames 109 Problem 2. 118 Beam and Frame Analysis Force Method Part II 121 5. Deflection of Beam and Frames 121 Problem 3. 132 .

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