Deflection of Beam

1. Deflection of Beam Pairat Tanpornprasert , Ph.D. Niphon Wansophark , Ph.D Mechanical Engineering Department Faculty of Engineering Chulalonkorn University

2. Introduction • A beam is defined as a structural member which cross-sectional dimensions are relatively smaller than its length • A beam is subjected to loads perpendicular to its long dimension • Beam deflections are considered to be elastic deflections

3. Introduction (con’) • The design of beams is often based on deflection characteristics, rather than strength • Beams are used in different kinds of construction - Machine - Bridges - Airplanes - Automotives - etc,

4. Frames

5. Machine

6. Bridge

7. Roof

8. Airplane

9. Robots Intelligence and networking

10. Motivation • The deflection of machine parts must also be kept below certain tolerances to allow the machine to function properly - Difficulties in parts assembly and installation - Unbalance in rotating shaft • Large deflection cause or create unstable structure - Floor collapse - Bridge collapse

11. Motivation (con’) • Precision machine needs rigid structure - Machine tool - Robotics - Measuring Instrument • Allowable deflection of beams are often limited • Stresses are also limited

12. Mississippi River Bridge collapsed on August 1, 2007

13. Coordinate Measuring Machine (CMM)

14. Robotics (High Rigidity)

15. Machine tool (High Rigidity)