1. Lab #4 Report due TODAY Individual Data Processing and Individual Write Up Lab #4 Report is due TODAY by midnight Answer Multiple Choice Questions ONLINE TODAY Answer Student Survey ONLINE TODAY Submit the Lab Report #4 in the drawer labeled “Strength of Materials I Lab” beneath M. E. Mail Folders

2. Theory of Pure Elastic Bending Four Point Bending Configuration Shear Force and Bending Moment Diagrams Stresses and Deformations in Pure Bending Sagital Method to find Radius of Curvature Determine Elastic Modulus of material Comparison to handbook value and previous Lab #4 result

3. Four Point Bending Setup

4. Shear Force & Bending Moment Diagrams R 1 = R 2 = F V = 0 in middle span M = -bF = constant in middle span Pure Bending

5. Material Assumptions Homogeneous Isotropic Geometry/Load Assumptions X-section has a plane of symmetry Bending moment applied in that plane

6. Deformation Grids

7. Neutral Axis and Strain (elastic and plastic range)

8. Elastic Strain & Stress Distribution  x = -y/   x = E  x = -Ey/ 

9. Sagital Method to find the Radius of Curvature  h × (2  - h) = a 2 2  h – h 2 = a 2

10. Shear Force & Bending Moment Diagrams R 1 = R 2 = F V = 0 in middle span M = -bF = constant in middle span Pure Bending

11. Data Sheet

12. Processing Data

13. Plotting Multiple Lines

14. Adding Data for another Line

15. h versus W Line Fits

16. Fitting Straight Line LINEST function (y = m*x + b) Gradient m = INDEX( LINEST(y-values, x-values, False, True), 1) Coefficient r 2 = INDEX( LINEST(y-values, x-values, False, True), 3) b = 0 r2r2 m

17. Table of a 2 and gradients

18. Plot of Gradient versus a 2

19. Calculating Elastic Modulus E

20. Materials Properties Tables

21. Fit the spreadsheet on 2 pages

22. Lab #4 Report due TODAY Individual Data Processing and Individual Write Up Lab #4 Report is due TODAY by midnight Answer Multiple Choice Questions ONLINE TODAY Answer Student Survey ONLINE TODAY Submit the Lab Report #4 in the drawer labeled “Strength of Materials I Lab” beneath M. E. Mail Folders