Base course aggregate has a target density of 121.8 lb/ft3 in place It will be laid down and compacted in a rectangular street repair area of 1000 ft x 60 ft x 6 in. The aggregate in the stockpile contains 3.5% moisture. If the required compaction is 95% of the target, how many pounds of aggregate will be needed?

total weight of the aggregate = 3594878.28 lbs

Explanation:

given data

density = 121.8 lb/ft³

area = 1000 ft x 60 ft x 6 in = 1000 ft x 60 ft x 0.5 ft

moisture = 3.5 %

compaction = 95%

solution

we get here first volume of the space that is filled with the aggregate that is

volume = 1000 ft x 60 ft x 0.5 ft = 30,000 cu ft

now we get fill space with aggregate that compact to 95% of dry density.

so we fill space with aggregate of density that is = 95% of 121.8

= 115.71 lb / cu ft

so now dry weight of aggregate is

dry weight of aggregate = 30,000 * 115.71 = 3471300 lb

when we assume that moisture percentage is by weight

then weight of the moisture in aggregate will be

weight of the moisture in aggregate = 3.56 % of 3471300 lb

weight of the moisture in aggregate = 123578.28 lbs

and

we get total weight of the aggregate to fill space that is

total weight of the aggregate = 3471300 lb + 123578.28 lb

total weight of the aggregate = 3594878.28 lbs