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Table of Contents
Intro
Preface
Contents
About the Authors
1 Preliminaries
1.1 State of Stress at a Point
1.2 Principle of Complementary Shear
1.3 The Assumption of Small Displacements and Rotations
1.4 State of Strain at a Point
1.5 Strain-Displacement Relations
1.6 Linear Constitutive Law
1.7 Plane Stress and Plane Strain
1.8 Two-Dimensional Stress Transformation
1.9 Principal Planes and Principal Stresses
1.10 Maximum In-Plane Shear Stress
1.11 Strain Transformation and Principal Strains
1.12 Mohr's Circle
1.13 Notable Points About 2-D Transformation
1.14 Failure Criterion for Brittle Materials
1.15 Yield Criteria for Ductile Materials
1.16 Statically Determinate and Indeterminate Structures
1.17 St. Venant's Principle
2 Straight Bars
2.1 Straight Bar
2.2 Assumptions
2.3 Final Formulae
2.4 Range of Applicability
2.5 Illustrative Problems
3 Thin-Walled Pressure Vessels
3.1 Thin-Walled Vessels
3.2 Assumptions
3.3 Final Formulae
3.4 Range of Applicability
3.5 Illustrative Problems
4 Circular Shafts
4.1 Circular Shaft
4.2 Assumptions
4.3 Final Formulae
4.4 Range of Applicability
4.5 Illustrative Problems
5 Beams-Shear Force and Bending Moment
5.1 Beam Undergoing Simple Bending
5.2 Shear Force and Bending Moment
5.3 Relations Between Loading, Shear Force, and Bending Moment
5.4 Shear Force and Bending Moment Diagrams (SFD, BMD)
5.5 Bending Moment Diagram by Parts
6 Beams-Stresses
6.1 Engineering Beam Theory-Assumptions
6.2 Final Formulae
6.3 Range of Applicability
6.4 Illustrative Problems
7 Beams-Deflections
7.1 Engineering Beam Theory-Kinematics of Deformation
7.2 Deflection Analysis
7.3 Final Formulae
7.4 Specification of Boundary Conditions
7.5 Range of Applicability
7.6 Illustrative Problems
7.6.1 Double Integration Method
7.6.2 Moment-Area Method
7.6.3 Superposition Method
7.6.4 Statically Indeterminate Beams
8 Combined Loading, Stress Transformation, Failure Criteria
8.1 Combined Loading
8.2 Stress and Strain Transformation
8.2.1 Use of Transformation Rules
8.2.2 Mohr's Circle
8.3 Use of Failure Criteria
9 Long Columns
9.1 Column
9.2 Perfect and Imperfect Columns
9.3 Assumptions
9.4 Final Formulae
9.5 Illustrative Problems
10 Energy Methods
10.1 Assumptions
10.2 Final Formulae
10.3 Illustrative Problems
Index
Preface
Contents
About the Authors
1 Preliminaries
1.1 State of Stress at a Point
1.2 Principle of Complementary Shear
1.3 The Assumption of Small Displacements and Rotations
1.4 State of Strain at a Point
1.5 Strain-Displacement Relations
1.6 Linear Constitutive Law
1.7 Plane Stress and Plane Strain
1.8 Two-Dimensional Stress Transformation
1.9 Principal Planes and Principal Stresses
1.10 Maximum In-Plane Shear Stress
1.11 Strain Transformation and Principal Strains
1.12 Mohr's Circle
1.13 Notable Points About 2-D Transformation
1.14 Failure Criterion for Brittle Materials
1.15 Yield Criteria for Ductile Materials
1.16 Statically Determinate and Indeterminate Structures
1.17 St. Venant's Principle
2 Straight Bars
2.1 Straight Bar
2.2 Assumptions
2.3 Final Formulae
2.4 Range of Applicability
2.5 Illustrative Problems
3 Thin-Walled Pressure Vessels
3.1 Thin-Walled Vessels
3.2 Assumptions
3.3 Final Formulae
3.4 Range of Applicability
3.5 Illustrative Problems
4 Circular Shafts
4.1 Circular Shaft
4.2 Assumptions
4.3 Final Formulae
4.4 Range of Applicability
4.5 Illustrative Problems
5 Beams-Shear Force and Bending Moment
5.1 Beam Undergoing Simple Bending
5.2 Shear Force and Bending Moment
5.3 Relations Between Loading, Shear Force, and Bending Moment
5.4 Shear Force and Bending Moment Diagrams (SFD, BMD)
5.5 Bending Moment Diagram by Parts
6 Beams-Stresses
6.1 Engineering Beam Theory-Assumptions
6.2 Final Formulae
6.3 Range of Applicability
6.4 Illustrative Problems
7 Beams-Deflections
7.1 Engineering Beam Theory-Kinematics of Deformation
7.2 Deflection Analysis
7.3 Final Formulae
7.4 Specification of Boundary Conditions
7.5 Range of Applicability
7.6 Illustrative Problems
7.6.1 Double Integration Method
7.6.2 Moment-Area Method
7.6.3 Superposition Method
7.6.4 Statically Indeterminate Beams
8 Combined Loading, Stress Transformation, Failure Criteria
8.1 Combined Loading
8.2 Stress and Strain Transformation
8.2.1 Use of Transformation Rules
8.2.2 Mohr's Circle
8.3 Use of Failure Criteria
9 Long Columns
9.1 Column
9.2 Perfect and Imperfect Columns
9.3 Assumptions
9.4 Final Formulae
9.5 Illustrative Problems
10 Energy Methods
10.1 Assumptions
10.2 Final Formulae
10.3 Illustrative Problems
Index