Determine the amount of excavation needed for the basement in Figures 9.52 and 9.53. A one-foot working distance is required and the excavation will be sloped 2:1 (two vertical feet for every horizontal foot). Hint: Calculate the excavation for each of the areas separately and add them together.
What will be an ideal response?
Determine the depth as follows:
Depth = 8? – 6? + 10? = 8?4? = 8.333?
The distance from the toe of the slope to the top of the slope is calculated as follows:
DistanceSlope = 8?4? × 1? / 2? = 4?2?
Calculate the average width for Area A:
DistanceTop of excavation = 4?2? + 1? + 8? + 25? + 8? + 1? + 4?2? = 36?8?
DistanceBottom of excavation = 1? + 8? + 25? + 8? + 1? = 28?4?
DistanceAverage = (36?8? + 28?4?) / 2 = 32?6? = 32.5?
Calculate the average length for Area A. The slope, footing, and working space will only occur on one side of the area:
DistanceTop of excavation = 10? + 8? + 1? + 4?2? = 15?10?
DistanceBottom of excavation = 10? + 8? + 1? = 11?8?
DistanceAverage = (15?10? + 11?8?) / 2 = 13?9? = 13.75?
Calculate the average width for Area B. The slope, footing, and working space will only occur on one side of the area:
DistanceTop of excavation = 4?2? + 1? + 8? + 25? = 30?10?
DistanceBottom of excavation = 25? + 8? + 1? = 26?8?
DistanceAverage = (30?10? + 26?8?) / 2 = 28?9? = 28.75?
Calculate the average length for Area B. The slope, footing, and working space will only occur on one side of the area:
DistanceTop of excavation = 20? + 8? + 1? + 4?2? = 25?10?
DistanceBottom of excavation = 20? + 8? + 1? = 21?8?
DistanceAverage = (25?10? + 21?8?) / 2 = 23?9? = 23.75?
Calculate the average width for Area C. The slope, footing, and working space will only occur on one side of the area:
DistanceTop of excavation = 15? + 8? + 1? + 4?2? = 20?10?
DistanceBottom of excavation = 15? + 8? + 1? = 16?8?
DistanceAverage = (20?10? + 16?8?) / 2 =18?9? = 18.75?
Calculate the average length for Area C:
DistanceTop of excavation = 4?2? + 1? + 8? + 20? + 8? + 1? + 4?2? = 31?8?
DistanceBottom of excavation = 1? + 8? + 20? + 8? + 1? = 23?4?
DistanceAverage = (31?8? + 23?4?) / 2 = 27?6? = 27.5?
The general excavation is calculated by determining the volume of each area and then adding them together.
General excavation = 32.5? × 13.75? × 8.333? + 28.75? × 23.75? × 8.333?
+ 18.75? × 27.5? × 8.333?
General excavation = 3,724 bcf + 5,690 bcf + 4,297 bcf = 13,711 bcf
General excavation = 138 bcy + 211 bcy + 159 bcy = 508 bcy
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