| 1. Introduction |
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1.1 Overview
1.2 Units in Practice
1.3 Review of Statics
Free Body Diagrams
Equilibrium in two-dimensions
Centroids of Areas
Distributed Loads on Structures
Moment of Inertia
1.4 Summary |
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| 2.
Stress and Strain |
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2.1 Types and Definition of Stresses
Traction Vector, Axial and Shear Stress
Application to 2-D Problems
2.2 Types and Definition of Strains
Axial Strain
Shear Strain
2.3 Summary
2.4 Problems
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| 3. Axial Force, Stress and Displacements |
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3.1 Axially Loaded Bars
Method of Sections
Axial Force Diagrams
Axial Stress Computation
3.2 Axial Strain and Axial Displacement
Axial Displacements and Elongations
Hooke’s Law and Material Behavior
Axial Strains
3.3 Design Criteria
Strength and Stiffness Criteria
3.4 Summary
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| 4. Statically Indeterminate Axial Force Problem |
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4.1 Definition of Indeterminacy
4.2 Equilibrium and Compatibility
4.3 Thermal Problems
4.4 Summary
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| 5. Multi-Axial State of Stress and Strain |
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5.1 General State of Stress
5.2 General State of Strain
5.3 Hooke’s Law in 3-Dimensions
3-Dimensional State of Stress
Plane Stress
Plane Strain
5.4 Summary
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| 6. Torsion and Shear Stress |
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6.1 Torsion in Circular Bars
6.2 Shear Stress and Strain Due to Torsion
Pure Shear Stress in Circular Bars
Angle of Twist and Shear Strain
6.3 Statically Indeterminate Problems
6.4 Torsion of Thin Walled Tubes
Shear Flow and Shear Stress
Angle of Twist
6.5 Design Considerations
6.6 Summary
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| 7. Shear Force and Bending Moment Diagrams |
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7.1 Shear Force and Bending Moment
7.2 Method of Sections
7.3 Shear Force and Bending Moment Equations and Diagrams
7.4 Summation Method for Shear Force and Bending Moment Diagrams
7.5 Summary
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| 8. Bending Moment and Flexural Stresses |
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8.1 Normal Stress Due to Bending
8.2 Stress Distribution and Computation
8.3 Composite Beams
8.4 Summary
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| 9. Shear Force and Shear Stresses |
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9.1 Shear Flow and Shear Stress
9.2 Shear Flow in Composite Cross Sections
9.3 Shear Stress in Prismatic Beams
9.4 Shear Center
9.5 Summary
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| 10. Transformation of Stresses and Mohr’s Circle |
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10.1 Transformation of Plane Stress
Transformation Equations
Principal Normal Stresses and Orientation
Maximum Normal Stresses and Orientation
10.2 Mohr’s Circle for Plane Stress
Principle and Justification of Mohr’s Circle Method
Method for Mohr’s Circle Method
Principal Normal Stresses and Orientation
Maximum Normal Stresses and Orientation
10.3 Design Examples
10.4 Mohr’s Circle in 3-Dimensions
10.5 Summary
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| 11. Deflection in Beams |
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11.1 Methods and Conditions
11.2 Deflections Using 2nd Order Equations
11.3 Deflections Using 4th Order Equations
11.4 Method of Superposition
11.5 Summary
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| 12. Stability and Buckling of Columns |
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12.1 Elastic Buckling
12.2 Euler Buckling Load and Buckling Stress
Buckling Load Equation
Effective Length Factors
12.3 Critical Buckling Load and Failure Modes
Euler Critical Buckling Load
Buckling and Compression Failure Modes
12.4 Inelastic Buckling
12.5 Summary
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