Deflection engineering

The provided text is a comprehensive overview of beam deflection calculations, including formulas and considerations for various load types, boundary conditions, and units. Here's a structured summary:

1. 1. 1. 1. **Types of Beams and Loads**

1. 1. 1. 2. **Combined Loads**

1. 1. 1. 3. **Change in Length**

1. 1. 1. 4. **Units**

1. 1. 1. 5. **Structural Deflection**

1. 1. 1. 6. **Deflected Shape Representation**

1. 1. 1. 7. **Related Concepts**

1. 1. 1. 8. **References and External Links**

This summary encapsulates key formulas, principles, and considerations for beam deflection analysis across different scenarios and unit systems.