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Sagot :
The required volume of borrow pit excavation was gotten as;
V_net,borr ≈ 192,054 cy
The missing part of the question is;
Compute the required volume of borrow pit excavation.
- We are given;
Net volume of earth fill; V_net,fill = 187,000 cy
Wet unit weight of borrow material; γ_wet = 129 lb/ft³
Water content; m = 16.5% = 0.165
Dry unit weight of fill yard; γ_d,fill = 114 lb/cf
- Now, to get the dry unit weight of the borrowed material, we will use the formula;
γ_d = γ_wet/(1 + m)
Plugging in the relevant values, we have;
γ_d,borr = 129/(1 + 0.65)
γ_d,borr = 111 lb/cf
Since the net volume is in cy units, then let us convert the dry volumes to lb/cy.
Thus, from conversion tables, we have;
γ_d,fill = 114 lb/cf × 27 cf/cy
γ_d,fill = 3078 lb/cy
Similarly;
γ_d,borr = 111 lb/cf × 27 cf/cy
γ_d,borr = 2997 lb/cy
Thus, to find the volume of the borrow pit excavation, we will use the formula;
V_net,fill × γ_d,fill = V_net,borr × γ_d,borr
Plugging in the relevant values gives us;
187,000cy × 3078 lb/cy = V_net,borr × 2997 lb/cy
Thus;
V_net,borr = (187000 × 3078)/2997
V_net,borr ≈ 192,054 cy
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