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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
10.
Stress and Strain Transformation
10.1.
Plane Stress Analysis
10.1.1.
Stress Transformation Equations
10.1.2.
Principal Stresses
10.1.2.1.
Calculation Methods
10.1.2.2.
Principal Directions
10.1.3.
Maximum Shear Stress
10.1.3.1.
In-Plane Maximum Shear
10.1.3.2.
Associated Normal Stress
10.2.
Mohr's Circle for Stress
10.2.1.
Circle Construction
10.2.2.
Graphical Interpretation
10.2.3.
Principal Stress Determination
10.2.4.
Maximum Shear Stress
10.2.5.
Stress at Arbitrary Angles
10.3.
Three-Dimensional Stress Analysis
10.3.1.
Principal Stresses in 3D
10.3.2.
Absolute Maximum Shear Stress
10.3.3.
Stress Invariants
10.3.4.
Octahedral Stresses
10.4.
Plane Strain Analysis
10.4.1.
Strain Transformation Equations
10.4.2.
Principal Strains
10.4.3.
Maximum Shear Strain
10.4.4.
Relationship to Plane Stress
10.5.
Mohr's Circle for Strain
10.5.1.
Construction and Interpretation
10.5.2.
Principal Strain Determination
10.6.
Experimental Stress Analysis
10.6.1.
Strain Rosettes
10.6.1.1.
45-Degree Rosette
10.6.1.2.
60-Degree Rosette
10.6.1.3.
Rectangular Rosette
10.6.2.
Principal Strain Calculation
10.6.3.
Stress Determination from Strain
10.7.
Generalized Hooke's Law
10.7.1.
Three-Dimensional Stress-Strain Relations
10.7.2.
Isotropic Materials
10.7.3.
Material Constants
10.7.4.
Thermal Effects
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9. Combined Loading Analysis
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11. Beam and Shaft Design