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Borrow & Fill Computations

Borrow & Fill Computations. Cut and Fill Slopes. FHWA, 2004. FHWA, 2004. Proper OM & MD at time of compaction???. ………………..Progressive Slope Failures. Photo: Rick Wooten. Borrow Data:. Wet density in situ = 106 lbs/ft3 Specific gravity = 2.70 Moisture Content = 15% Proctor Results:

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Borrow & Fill Computations

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  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?

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