1. DEFLECTIONS (Chapter 8) WHY? FACTORS IN DESIGN Safety Esthetics Serviceability Environment Economy DETERMINACY Determinate Structures Equations of Equilibrium Indeterminate Structures Material and Shapes

2. Deflection Diagrams & Elastic Curve Assumption: Linear Elastic Material Response A structure subjected to a load will return to its original undeformed position after load is removed Q: What makes structures deform? A: Internal Forces Trusses Internal Axial Forces Beams and Frames Axial Forces Shear Forces Bending Moments

3. Deflected Shapes Depends on Support Conditions

4. Deflected Shapes Depends on Support Conditions

5. Moment Diagrams a Good Indication

7. Elastic Beam Theory Linear Elastic Material Behavior Small Deformations M M M

8. Elastic Beam Theory Can We Relate Moments to Deflections?

9. Double Integration Method Boundary Conditions are of the form:

10. Double Integration Method