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Engineering
Mechanical Engineering
Solid Mechanics
1. Introduction to Solid Mechanics
2. Stress Analysis
3. Strain Analysis
4. Material Properties and Behavior
5. Axially Loaded Members
6. Torsion of Shafts
7. Beam Bending Theory
8. Transverse Shear in Beams
9. Combined Loading Analysis
10. Stress and Strain Transformation
11. Beam and Shaft Design
12. Deflection Analysis
13. Column Stability and Buckling
14. Energy Methods in Mechanics
15. Failure Theories and Design
3.
Strain Analysis
3.1.
Concept of Strain
3.1.1.
Deformation and Displacement
3.1.2.
Strain Definition
3.1.3.
Geometric Interpretation
3.2.
Types of Strain
3.2.1.
Normal Strain
3.2.1.1.
Engineering Strain
3.2.1.2.
True Strain
3.2.1.3.
Finite vs Infinitesimal Strain
3.2.2.
Shear Strain
3.2.2.1.
Definition and Measurement
3.2.2.2.
Angular Distortion
3.2.3.
Volumetric Strain
3.2.3.1.
Dilatation
3.2.3.2.
Bulk Deformation
3.3.
Thermal Effects
3.3.1.
Thermal Strain
3.3.2.
Coefficient of Thermal Expansion
3.3.3.
Temperature-Induced Deformation
3.3.4.
Thermal Stress Development
3.4.
General State of Strain
3.4.1.
Three-Dimensional Strain State
3.4.2.
Strain Tensor
3.4.2.1.
Matrix Representation
3.4.2.2.
Symmetry Properties
3.4.3.
Principal Strains
3.4.4.
Strain Invariants
3.5.
Strain-Displacement Relations
3.5.1.
Small Strain Theory
3.5.2.
Compatibility Equations
3.5.3.
Strain Rosette Analysis
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2. Stress Analysis
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4. Material Properties and Behavior