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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
Axially Loaded Members
Fundamental Principles
Saint-Venant's Principle
Statement and Implications
Local vs Global Effects
Application Guidelines
Uniform Stress Distribution
End Effects
Elastic Deformation Analysis
Stress-Strain Relations
Deformation Calculations
Uniform Cross-Section
Variable Cross-Section
Multiple Materials
Principle of Superposition
Linear Systems
Multiple Load Cases
Statically Indeterminate Systems
Compatibility Requirements
Solution Methods
Force Method
Displacement Method
Support Reactions
Internal Force Distribution
Thermal Effects
Free Thermal Expansion
Restrained Thermal Expansion
Thermal Stress Calculation
Combined Mechanical and Thermal Loading
Stress Concentrations
Geometric Discontinuities
Stress Concentration Factors
Design Considerations
Fatigue Implications
Inelastic Behavior
Plastic Deformation
Yield Criteria
Residual Stress Development
Load-Unload Cycles
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4. Material Properties and Behavior
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6. Torsion of Shafts