Define bank volume to be stockpiled and used for backfill, Civil Engineering

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An earthwork contract was awarded to excavate and backfill the foundation of a proposed 50-ft by 50-ft office building.  The existing grade elevation is 437.5-ft while the sub-base for the below grade basement is 432.5-ft.  The concrete contractor requires a 3-ft perimeter walkway in order to place the concrete formwork. 

Soil conditions are classified as OSHA Type B soils which require 1H:1V side slopes. The bank volume (yd3) to be stockpiled and used for backfill is most nearly:

Solution:The foundation excavation can be described as an inverted truncated pyramid.  Compute the earthwork volume using the buildings dimensions and add a 3-ft perimeter walkway around the building for the workers erecting the concrete formwork. Equation for the volume of a truncated pyramid:

2424_Define bank volume to be stockpiled and used for backfill.png

Volume = V1 = h/3 (A1 + A2 + √(A1 x A2))

Compute depth of foundation = h = 437.5-ft - 432.5-ft = 5.0-ft

A1 = Area of the base of truncated pyramid = (50 + 3 + 3) (50 + 3 + 3) = 3,136-ft2

A2 = Area of the top of truncated pyramid = (50 + 3 + 3 + 5 + 5) (50 + 3 + 3 + 5 + 5) = 4,356-ft2

V1 = 5/3 (3,136 + 4,356 + (√(3,136 x 4,356)

V1 = 18,647-ft3= 690-yd3

Compute the volume of the basement and subtract this from the total excavation to determine the volume of backfill material.

Building Volume = 50'  x 50'  x 5' =  12,500-ft3  =   463yd3

Backfill stockpile required = 690-yd3 - 463-yd3 = 227-yd3

 


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