UsefulLinks
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
12.
Deflection Analysis
12.1.
Elastic Curve Theory
12.1.1.
Moment-Curvature Relationship
12.1.2.
Differential Equation of Elastic Curve
12.1.3.
Boundary Conditions
12.1.4.
Sign Conventions
12.2.
Integration Methods
12.2.1.
Double Integration Method
12.2.2.
Moment-Area Method
12.2.2.1.
First Moment-Area Theorem
12.2.2.2.
Second Moment-Area Theorem
12.2.3.
Conjugate Beam Method
12.3.
Discontinuity Functions
12.3.1.
Macaulay's Method
12.3.2.
Step Functions
12.3.3.
Applications to Complex Loading
12.4.
Superposition Method
12.4.1.
Standard Beam Cases
12.4.2.
Combining Multiple Loads
12.4.3.
Tabulated Solutions
12.5.
Energy Methods
12.5.1.
Castigliano's First Theorem
12.5.2.
Virtual Work Method
12.5.3.
Unit Load Method
12.6.
Statically Indeterminate Beams
12.6.1.
Compatibility Equations
12.6.2.
Force Method
12.6.3.
Displacement Method
12.6.4.
Continuous Beams
Previous
11. Beam and Shaft Design
Go to top
Next
13. Column Stability and Buckling