1. Faculty of Applied Engineering and Urban Planning
Civil Engineering Department
Soil Mechanics
ECGD3303
Stresses in a Soil Mass
Lecture 15
Week 8
1st Quadester 2007/2008
UP Copyrights 2007

2. Outline Stress Caused by a Point Load
Vertical Stress Caused by a Line Load
Vertical Stress Caused by a Strip Load
Vertical Stress Due to Embankment Load
Vertical Stress Below the Center of a Uniformly Loaded Circular Area
Vertical Stress at any Point Below a Uniformly Loaded Circular Area
Vertical Stress Caused by a Rectangularly Loaded Area
Influence Chart for Vertical Pressure

3. Normal and Shear Stresses in a Plane

4. Normal and Shear Stresses in a Plane

5. Progress Stress Caused by a Point Load
Vertical Stress Caused by a Line Load
Vertical Stress Caused by a Strip Load
Vertical Stress Due to Embankment Load
Vertical Stress Below the Center of a Uniformly Loaded Circular Area
Vertical Stress at any Point Below a Uniformly Loaded Circular Area
Vertical Stress Caused by a Rectangularly Loaded Area
Influence Chart for Vertical Pressure

6. Stress Caused by a Point Load

7. Stress Caused by a Point Load
Control Parameters
P, r, z
Equation
Where

8. Stress Caused by a Point Load
Table Used for I1
Table 9.1 ~ ~ ~ ~

9. Stress Caused by a Point Load (Example)

10. Stress Caused by a Point Load (Example)

11. Progress Stress Caused by a Point Load
Vertical Stress Caused by a Line Load
Vertical Stress Caused by a Strip Load
Vertical Stress Due to Embankment Load
Vertical Stress Below the Center of a Uniformly Loaded Circular Area
Vertical Stress at any Point Below a Uniformly Loaded Circular Area
Vertical Stress Caused by a Rectangularly Loaded Area
Influence Chart for Vertical Pressure

12. Stress Caused by a Line Load

13. Stress Caused by a Line Load
Control Parameters
q, x, z
Equation
Can be rewritten as:

14. Stress Caused by a Line Load
Table Used for Δσz/(q/z)
Table 9.2

15. Stress Caused by a Line Load (Example)

17. Stress Caused by a Line Load (Example)

18. Progress Stress Caused by a Point Load
Vertical Stress Caused by a Line Load
Vertical Stress Caused by a Strip Load
Vertical Stress Due to Embankment Load
Vertical Stress Below the Center of a Uniformly Loaded Circular Area
Vertical Stress at any Point Below a Uniformly Loaded Circular Area
Vertical Stress Caused by a Rectangularly Loaded Area
Influence Chart for Vertical Pressure

19. Stress Caused by a Strip Load

20. Stress Caused by a Line Load
Control Parameters
B, q, x, z
Equation

21. Stress Caused by a Strip Load
Table Used for Δσz/q
Table 9.3

22. Stress Caused by a Strip Load
Table Used for Δσz/q
Table 9.3

23. Stress Caused by a Strip Load (Example)

25. Progress Stress Caused by a Point Load
Vertical Stress Caused by a Line Load
Vertical Stress Caused by a Strip Load
Vertical Stress Due to Embankment Load
Vertical Stress Below the Center of a Uniformly Loaded Circular Area
Vertical Stress at any Point Below a Uniformly Loaded Circular Area
Vertical Stress Caused by a Rectangularly Loaded Area
Influence Chart for Vertical Pressure

26. Stress Caused by an Embankment Load

27. Stress Caused by an Embankment Load
Control Parameters
B1, B2, q, z
Equation

28. Stress Caused by an Embankment Load
Chart Used for I2
Figure 9.11

29. Stress Caused by an Embankment Load

30. Stress Caused by an Embankment Load

31. Stress Caused by an Embankment Load

32. Stress Caused by an Embankment Load

33. Stress Caused by an Embankment Load

34. Stress Caused by an Embankment Load

35. Progress Stress Caused by a Point Load
Vertical Stress Caused by a Line Load
Vertical Stress Caused by a Strip Load
Vertical Stress Due to Embankment Load
Vertical Stress Below the Center of a Uniformly Loaded Circular Area
Vertical Stress at any Point Below a Uniformly Loaded Circular Area
Vertical Stress Caused by a Rectangularly Loaded Area
Influence Chart for Vertical Pressure

36. Vertical Stress Below the Center of a Uniformly Loaded Circular Area

37. Vertical Stress Below the Center of a Uniformly Loaded Circular Area
Control Parameters
q, R, z
Equation

38. Vertical Stress Below the Center of a Uniformly Loaded Circular Area
Table Used for Δσz/q
Chart Used for Δσz/q
Table 9.4
Figure 9.14

39. Progress Stress Caused by a Point Load
Vertical Stress Caused by a Line Load
Vertical Stress Caused by a Strip Load
Vertical Stress Due to Embankment Load
Vertical Stress Below the Center of a Uniformly Loaded Circular Area
Vertical Stress at any Point Below a Uniformly Loaded Circular Area
Vertical Stress Caused by a Rectangularly Loaded Area
Influence Chart for Vertical Pressure

40. Vertical Stress at any Point Below a Uniformly Loaded Circular Area

41. Vertical Stress at any Point Below a Uniformly Loaded Circular Area
Control Parameters
q, R, r, z
Equation
A' and B' are functions of z/R and r/R.

42. Vertical Stress at any Point Below a Uniformly Loaded Circular Area
Table Used for A’
Table 9.5
Table Used for B’
Table 9.6

43. Progress Stress Caused by a Point Load
Vertical Stress Caused by a Line Load
Vertical Stress Caused by a Strip Load
Vertical Stress Due to Embankment Load
Vertical Stress Below the Center of a Uniformly Loaded Circular Area
Vertical Stress at any Point Below a Uniformly Loaded Circular Area
Vertical Stress Caused by a Rectangularly Loaded Area
Influence Chart for Vertical Pressure

44. Vertical Stress Caused by a Rectangularly Loaded Area

45. Vertical Stress Caused by a Rectangularly Loaded Area
Control Parameters
q, B, L, z
Equation
Δσ = q I3

46. Vertical Stress Caused by a Rectangularly Loaded Area
Table Used for I3
Table 9.7

47. Vertical Stress Caused by a Rectangularly Loaded Area

48. Vertical Stress Caused by a Rectangularly Loaded Area
If point is located at center

49. Vertical Stress at any Point Below a Uniformly Loaded Circular Area
Control Parameters
q, B, L, z
Equation
Δσ = q I4