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calculation for pits in area with traffic

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In our project, a traffic study is conducted on a close-by Roundabout. A main
reason to the increase of the traffic there is availability of Carrfour and University
Medical Campus close by, which attract people for different reasons. The
simulation of the roundabout is based on an efficient procedure that begins with
identification of the issue. Then data is collected for each turning point accounting
for 1.5% growth per year. Two major steps are to simulate current situation then
another one 5 years later. From these, two alternative solutions are applied. First
alternative is about length rate of change. The second one, however, is traffic
signal installation.
The following are some of the calculations deducted for volume and cost of water and soil for
multiple borrow pits.
4.5
The Volume of the needed soil: V= (2155.490 x 1) + (2155.490 x∫4.5 𝑑π‘₯ ) = 2155.490 m3
For Borrow Pit “A”
β–ͺ
β–ͺ
π‘˜π‘”⁄
π‘š3
• 𝑉 = 2155.490 π‘š3
π‘˜π‘”
• 𝛾 = 1574 ⁄π‘š3
• πœ” = 11%
Soil Cost
•
𝛾𝑑(max) = 1660
•
γd = 1+ω = 1+0.11 = 1418.02
•
kg⁄
m3
ws = γd βˆ™ V = 1418.02 × 2155.49 = 3.057 × 106 kg
•
Vs = γ
•
Soil Cost = 1841.57 × 6.5 = 11970.205 AED
γ
ws
d
1574
=
(π‘šπ‘Žπ‘₯)
3.057×106
1660
= 1841.57 m3
Water Cost
• ws = 3.057 × 106 kg
• ω = 11%
• Optimum Moist. Content = 16.35%
• ω′ = 16.35 − 11 = 5.35%
ω
• ww = 100 βˆ™ ws = 0.0535 × 3.057 × 106 = 163549.5 kg
ww
163549.5
•
V=
•
Water Cost = 163.55 × 50 = 8177.50 𝐴𝐸𝐷
γw
=
1000
= 163.5 m3
o Total Cost = 11970.205 +8177.50 = 20147.71 AED
For Borrow Pit “B”
β–ͺ
β–ͺ
π‘˜π‘”⁄
π‘š3
• 𝑉 = 2155.490 π‘š3
π‘˜π‘”
• 𝛾 = 1685 ⁄π‘š3
• πœ” = 9%
Soil Cost
•
𝛾𝑑(max) = 1880
•
γd = 1+ω = 1+0.09 = 1545.87
•
kg⁄
m3
ws = γd βˆ™ V = 1545.87 × 2155.49 = 3.333 × 106 kg
•
Vs = γ
•
Soil Cost = 1772.87 × 11.0 = 19501.57 AED
γ
1685
ws
d
=
(π‘šπ‘Žπ‘₯)
3.333×106
1880
= 1772.87 m3
Water Cost
• ws = 3.333 × 106 kg
• ω = 9%
• Optimum Moist. Content = 14.1%
• ω′ = 14.1 − 9 = 5.1%
ω
• ww = 100 βˆ™ ws = 0.0510 × 3.333 × 106 = 169983.0 kg
ww
169983
•
V=
•
Water Cost = 170.0 × 50 = 8500.0 𝐴𝐸𝐷
γw
=
1000
= 170.0 m3
o Total Cost = 19501.57 +8500.0 = 28001.57 AED
For Borrow Pit “C”
β–ͺ
β–ͺ
π‘˜π‘”⁄
π‘š3
• 𝑉 = 2155.490 π‘š3
π‘˜π‘”
• 𝛾 = 1675 ⁄π‘š3
• πœ” = 10.0%
Soil Cost
•
𝛾𝑑(max) = 1620
•
γd = 1+ω = 1+0.10 = 1522.73
•
kg⁄
m3
ws = γd βˆ™ V = 1522.73 × 2155.49 = 3.283 × 106 kg
•
Vs = γ
•
Soil Cost = 2026.54 × 4.0 = 8106.16 AED
γ
1675
ws
d
=
(π‘šπ‘Žπ‘₯)
3.283×106
1620
= 2026.54 m3
Water Cost
• ws = 3.283 × 106 kg
• ω = 10.0%
• Optimum Moist. Content = 17.9%
• ω′ = 17.9 − 10 = 7.9%
ω
• ww = 100 βˆ™ ws = 0.0790 × 3.283 × 106 = 259357.0 kg
ww
259357
•
V=
•
Water Cost = 259.4 × 50 = 12970.0 𝐴𝐸𝐷
γw
=
1000
= 259.4 m3
o Total Cost = 8106.16 +12970 = 21076.16 AED
For Borrow Pit “D”
β–ͺ
β–ͺ
π‘˜π‘”⁄
π‘š3
• 𝑉 = 2155.490 π‘š3
π‘˜π‘”
• 𝛾 = 1700 ⁄π‘š3
• πœ” = 7%
Soil Cost
•
𝛾𝑑(max) = 2000
•
γd = 1+ω = 1+0.07 = 1588.79
•
kg⁄
m3
ws = γd βˆ™ V = 1588.79 × 2155.49 = 3.425 × 106 kg
•
Vs = γ
•
Soil Cost = 1712.5 × 12.0 = 20550.0 AED
γ
1700
ws
d
=
(π‘šπ‘Žπ‘₯)
3.425×106
2000
= 1712.50 m3
Water Cost
• ws = 3.425 × 106 kg
• ω = 7%
• Optimum Moist. Content = 10.8%
• ω′ = 10.8 − 7 = 3.8%
ω
• ww = 100 βˆ™ ws = 0.0380 × 3.425 × 106 = 130150.0 kg
ww
130150
•
V=
•
Water Cost = 130.15 × 50 = 6507.5 𝐴𝐸𝐷
γw
=
1000
= 130.15 m3
o Total Cost = 20550 +6507.5 = 27057.5 AED
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