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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
13.
Column Stability and Buckling
13.1.
Stability Concepts
13.1.1.
Stable vs Unstable Equilibrium
13.1.2.
Critical Load Definition
13.1.3.
Buckling vs Material Failure
13.2.
Euler Buckling Theory
13.2.1.
Pin-Ended Column Derivation
13.2.2.
Critical Load Formula
13.2.3.
Assumptions and Limitations
13.3.
Effect of End Conditions
13.3.1.
Fixed-Fixed Columns
13.3.2.
Fixed-Pinned Columns
13.3.3.
Fixed-Free Columns
13.3.4.
Effective Length Concept
13.3.5.
End Fixity Factors
13.4.
Slenderness Ratio
13.4.1.
Definition and Significance
13.4.2.
Radius of Gyration
13.4.3.
Long vs Short Columns
13.5.
Eccentric Loading
13.5.1.
Secant Formula
13.5.2.
Interaction Curves
13.5.3.
Design Applications
13.6.
Inelastic Buckling
13.6.1.
Tangent Modulus Theory
13.6.2.
Reduced Modulus Theory
13.6.3.
Transition from Elastic to Inelastic
13.7.
Design of Columns
13.7.1.
Column Formulas
13.7.2.
Safety Factors
13.7.3.
Practical Design Considerations
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14. Energy Methods in Mechanics