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12 October, 21:03

Base course aggregate has a target dry density of 119.7 lb/cu ft in place. It will be laid down and compacted in a rectangular street repair area of 2000 ft * 48 ft * 6 in. The aggregate in the stockpile contains 3.1% moisture. If the required compaction is 95% of the target, how many tons of aggregate will be needed?

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  1. 12 October, 23:21
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    total weight of aggregate = 5627528 lbs = 2814 tons

    Explanation:

    given data

    dry density = 119.7 lb/cu ft

    area = 2000 ft * 48 ft * 6 in

    aggregate = 3.1%

    required compaction = 95%

    solution

    we get here volume of space to be filled with aggregate that is

    volume = 2000 * 48 * 0.5 = 48000 ft³

    when here space fill with aggregate of density is

    density = 0.95 * 119.7 = 113.72 lb/ft³

    and

    dry weight of this aggregate will be is

    dry weight = 48000 * 113.72 = 5458320 lbs

    and

    we consider take percent moisture by weigh so that there weight of moisture in aggregate is express as

    weight of moisture = 0.031 * 5458320 = 169208 lbs

    and

    total weight of aggregate will be

    total weight of aggregate = 5458320 + 169208

    total weight of aggregate = 5627528 lbs = 2814 tons
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