1 / 53

Borrow & Fill Computations

This article provides calculations for borrow and fill quantities, as well as moisture content and specific gravity, for cut and fill slopes.

ednagonzales
Download Presentation

Borrow & Fill Computations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Borrow & Fill Computations

  2. Cut and Fill Slopes FHWA, 2004 FHWA, 2004

  3. Proper OM & MD at time of compaction???

  4. ………………..Progressive Slope Failures Photo: Rick Wooten

  5. Borrow Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt

  6. Borrow Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Ws = Dry Density (lbs/ft3) = Wet Density (lbs/ft3) 1 + moisture content (decimalform)

  7. Borrow Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Ws = Dry Density (lbs/ft3) = Wet Density (lbs/ft3) 1 + moisture content (decimalform) Ws = Dry Density (lbs/ft3) = 106 lbs/ft3 1 + 0.15

  8. Borrow Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Ws = Dry Density (lbs/ft3) = Wet Density (lbs/ft3) 1 + moisture content (decimalform) Ws = Dry Density (lbs/ft3) = 106 lbs/ft3 1 + 0.15 Ws = 92 lbs/ft3

  9. Borrow Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Ws = Dry Density (lbs/ft3) = Wet Density (lbs/ft3) 1 + moisture content (decimalform) Ws = Dry Density (lbs/ft3) = 106 lbs/ft3 1 + 0.15 Ws = 92 lbs/ft3 Moisture Content = weight of water *100 weight of soil

  10. Borrow Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Ws = Dry Density (lbs/ft3) = Wet Density (lbs/ft3) 1 + moisture content (decimalform) Ws = Dry Density (lbs/ft3) = 106 lbs/ft3 1 + 0.15 Ws = 92 lbs/ft3 Moisture Content = weight of water *100 weight of dry soil 15 = Ww *100 92 lbs/ft3

  11. Borrow Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Ws = Dry Density (lbs/ft3) = Wet Density (lbs/ft3) 1 + moisture content (decimalform) Ws = Dry Density (lbs/ft3) = 106 lbs/ft3 1 + 0.15 Ws = 92 lbs/ft3 Moisture Content = weight of water *100 weight of soil 15 = Ww *100 92 lbs/ft3 Ww = 14 lbs/ft3

  12. Specific Gravity (Gs) = 2.70 (unitless) Unit Weight water (γw) = 62.4 lbs per ft3

  13. Specific Gravity (Gs) = 2.70 (unitless) Unit Weight water (γw) = 62.4 lbs per ft3 Vol Soil (Vs) = Ws Gs * γw

  14. Specific Gravity (Gs) = 2.70 (unitless) Unit Weight water (γw) = 62.4 lbs per ft3 Vol Soil (Vs) = Ws = 92 lbs/ft3 Gs * γw (2.70)*(62.4 lbs)

  15. Specific Gravity (Gs) = 2.70 (unitless) Unit Weight water (γw) = 62.4 lbs per ft3 Vol Soil (Vs) = Ws = 92 lbs/ft3 Gs * γw (2.70)*(62.4 lbs) Vs = 0.55 ft3

  16. Specific Gravity (Gs) = 2.70 (unitless) Unit Weight water (γw) = 62.4 lbs per ft3 Vol Soil (Vs) = Ws = 92 lbs/ft3 Gs * γw (2.70)*(62.4 lbs) Vs = 0.55 ft3 Vol Voids (Vv) = Vt - Vs

  17. Specific Gravity (Gs) = 2.70 (unitless) Unit Weight water (γw) = 62.4 lbs per ft3 Vol Soil (Vs) = Ws = 92 lbs/ft3 Gs * γw (2.70)*(62.4 lbs) Vs = 0.55 ft3 Vol Voids (Vv) = Vt - Vs Vv = 1 – 0.55 Vv = 0.45 ft3 (we will use this value later…)

  18. Specific Gravity (Gs) = 2.70 (unitless) Unit Weight water (γw) = 62.4 lbs per ft3 Vv = 0.45 ft3 Vw = Ww = 14 lbs/ft3 γw 62.4 lbs

  19. Specific Gravity (Gs) = 2.70 (unitless) Unit Weight water (γw) = 62.4 lbs per ft3 Vw = Ww = 14 lbs/ft3 γw 62.4 lbs Vw = 0.22 ft3

  20. Specific Gravity (Gs) = 2.70 (unitless) Unit Weight water (γw) = 62.4 lbs per ft3 Vv = 0.45 ft3 Vol Air = Va = Vv – Vw

  21. Specific Gravity (Gs) = 2.70 (unitless) Unit Weight water (γw) = 62.4 lbs per ft3 Vv = 0.45 ft3 Vol Air = Va = Vv – Vw Va = 0.45 – 0.22

  22. Specific Gravity (Gs) = 2.70 (unitless) Unit Weight water (γw) = 62.4 lbs per ft3 Vol Air = Va = Vv – Vw Va = 0.45 – 0.22 Va = 0.23 ft3

  23. Specific Gravity (Gs) = 2.70 (unitless) Unit Weight water (γw) = 62.4 lbs per ft3 Vv = 0.45 ft3 Void Ratio (e) = Vv Vs

  24. Specific Gravity (Gs) = 2.70 (unitless) Unit Weight water (γw) = 62.4 lbs per ft3 Void Ratio (e) = Vv Vs = 0.45 0.55

  25. Specific Gravity (Gs) = 2.70 (unitless) Unit Weight water (γw) = 62.4 lbs per ft3 Void Ratio (e) = Vv Vs = 0.45 0.55 e = 0.82

  26. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt

  27. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt Moisture Content = weight of water *100 weight of soil

  28. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt Moisture Content = weight of water *100 weight of soil 9 = Ww *100 117 lbs/ft3

  29. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt Moisture Content = weight of water *100 weight of soil 9 = Ww *100 117 lbs/ft3 Ww = 10.5 lbs/ft3

  30. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt Ws = Dry Density (lbs/ft3) = MD = 117 lbs/ft3

  31. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt Ws = Dry Density (lbs/ft3) = MD = 117 lbs/ft3

  32. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt Vol Soil (Vs) = Ws = 117 lbs/ft3 Gs * γw (2.70)*(62.4 lbs)

  33. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt Vol Soil (Vs) = Ws = 117 lbs/ft3 Gs * γw (2.70)*(62.4 lbs) Vs = 0.69 ft3 (compared to 0.55 from the borrow source)

  34. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt Vol Voids (Vv) = Vt - Vs

  35. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt Vol Voids (Vv) = Vt - Vs Vv = 1 – 0.69 Vv = 0.31 ft3

  36. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt Vw = Ww = 10.5 lbs/ft3 γw 62.4 lbs

  37. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt Vw = Ww = 10.5 lbs/ft3 γw 62.4 lbs Vw = 0.17

  38. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Volume of voids = 0.31 Vv Vt Vol Air = Va = Vv – Vw Va = 0.31 – 0.17

  39. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt Vol Air = Va = Vv – Vw Va = 0.31 – 0.17 Va = 0.14 ft3 (compared to 0.23 from the borrow source)

  40. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt Void Ratio (e) = Vv Vs

  41. Fill Data: Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Specific Gravity = 2.7 Proctor Results: OM = 9% MD = 117 lbs/ft3 (dry) Vv Vt Void Ratio (e) = Vv Vs = 0.31 0.69 e = 0.45 Compared to e = 0.82 from the Borrow Source

  42. FILL DATA BORROW DATA

  43. The Answer: How much borrow material is needed?

More Related