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Thread: Stockpile Quantity Rough Estimates

  1. #1
    Join Date
    Aug 07
    Posts
    10

    Stockpile Quantity Rough Estimates

    Gents,

    struggling with estimating the quantities of aggregate stockpiles.

    Have no measuring equipment other than a measuring wheel.

    Stockpiles are typically only up to around 500t and very irregular in shape but there are up to a dozen of them.

    Material is discharged by lorry and loaded by wheel loader (hence the shape variation).

    I've been loking for some quick guides for various cmmon shapes.

    Any help greatly appreciated.

    Niff
    Blastit-Diggit-Crushit-Screenit. But above all - SELL IT !!

  2. Try This

    he following formula is used to calculate the volume of a stockpile if the diameter and height are known.

    Volume in cubic feet = 0.2618 x D2 x h
    D = Diameter of the base of the cone in feet
    h = Height of the cone in feet

    In order to calculate the actual weight of material in the stockpile, determine the density or weight/cubic foot.
    Weight (tons) = Volume(ft3) x density (lb/ft3) x 1 ton/200 lb
    1 cubic yard = 27 cubic feet
    1 cubic foot = 0.037037 cubic yards

    CONICAL STOCKPILE VOLUMES (37° Angle of Repose)
    Diameter in feet Height in feet Volume in Cu Yds Weight in Tons at 100 lbs/cu foot
    26.54 10 68 92
    39.81 15 230 310
    53.08 20 545 740
    66.35 25 1065 1440
    79.62 30 1845 2490
    92.89 35 2930 3955
    106.16 40 4370 5900
    132.70 50 8540 11525
    159.25 60 14755 19920
    185.79 70 23430 31630
    212.33 80 34970 47210
    238.87 90 49790 67220
    265.41 100 68300 92210

    To find volumes and weights of stockpiles with other angles of repose, multiply those values in the table by the factor computed as follows.
    Factor=[1865.4686 (Angle of Repose)] - [0.00DD14 x (Angle of Repose)2] - 0.3819




  3. stockpiles

    FIRST and foremost you cannot trust any pile at any time!!!!!!!!!!!!!!!!!!!!!!
    Just walking by it is enought to possibly kill you or someone else.






    volume of a cone:

    1/3 *Pi*the radius squared *the height


    Unless the cone is uniform its useless.

    If the aggregate is the all same size or you have piles of the same size aggregate you can simply make a small trapezoid.

    I hope yout loader operator is leaving the loader on the ground and not crawling up the pile which will cause a tip over.

    No you cannot safely create a trapeziod while pushing the material up and over to create the flat top of the trapeziod.


    You can build a small trapezoid with the loader using this method-

    Using the struck volume of the loader bucket only

    Create the base of the trapezoid by
    dumping the first two buckets of material
    on the outer edges of the measured width
    of three buckets widths wide.


    Now please follow this excactly:

    Take the third bucket of material and
    dump it in the behind the outside piles
    leaving the hole open between the two
    outside piles

    Continue adding material by dumping on
    the outside edges first following the outer
    pile line and then dump in the center to fill
    in the center.

    The trapezoid will form naturally following the
    edges of the pile to its angle of repose.

    If you make the trapezoid three buckets high
    and three buckets wide the ange of repose will
    form quickly for you with no issues and it will be
    easy to measure using the formula for the volume
    of a trapezoid.

    but measure it from the ground using an inclinometer
    please as the pile side walls can not be trusted even
    when stopped from sliding.


    Having the loader operator count buckets of struck
    aggregate using a hand held counter is safer for
    you and everyone else as you have no measuring
    equipment other than a wheel.

    Making a three bucket wide and three bucket wide
    trapezoid the way I described will e simple to do
    and be much safer.

    If you do not have a place where you can buy a counter
    the operator can simply count dtruck buckets and mark
    one bucket each time and stopping at five buckets to
    start a new count.

    When the stone is reclaimed the semi cones must be
    reclaimed from left to right and never taken in the center
    only as a mass slide of material will result.

    The small trapezoid will hold a lot of material for you



    The volume of a trapezoid is determined using this formula;
    and can be done without a calculator


    Volume = length *(b1+(b2-b1)*h1/h+b1/2

    Length ____________

    Base1 ____________

    Base2_____________

    h total height_______________


    h1 partial height _______________


    Please work safely and stay away from the piles.



    lzaharis

  4. Dear Niff,

    Please refer engineering handbook or engineering tables for areas and volumes. You will find formula for volumes of shapes such as cube, cuboid, prism, cone, pyramid, frustum of cone, frustum of pyramid, cylinder etc. You have to imaginarily divide your stockpile into zones which have to match (equivalent) to the various shapes mentioned above. Then calculate the volume of the various zones, total them and multiply to it by bulk density. This will give you storage in tonnes. The accuracy of the result will depend upon skill. Obviously such calculation result cannot be 100% accurate, but it will serve your purpose. Also there is no other option.

    Such situation is quite common in civil engineering contract for excavation work, where civil engineer regularly work out the excavated quantity from irregular ground and consequently irregular shapes. If you have civil engineering department then contact them who may readily solve your problem.

    Regards,
    Ishwar G Mulani.
    Author of Book : Engineering Science and Application Design for Belt Conveyors.
    Author of Book : Belt Feeder Design and Hopper Bin Silo
    Advisor / Consultant for Bulk Material Handling System & Issues.
    Pune, India.
    Tel.: 0091 (0)20 25871916
    Email: parimul@pn2.vsnl.net.in

  5. Quote Originally Posted by Kurt Tompkins View Post
    Try This

    he following formula is used to calculate the volume of a stockpile if the diameter and height are known.

    Volume in cubic feet = 0.2618 x D2 x h
    D = Diameter of the base of the cone in feet
    h = Height of the cone in feet

    In order to calculate the actual weight of material in the stockpile, determine the density or weight/cubic foot.
    Weight (tons) = Volume(ft3) x density (lb/ft3) x 1 ton/200 lb
    1 cubic yard = 27 cubic feet
    1 cubic foot = 0.037037 cubic yards

    CONICAL STOCKPILE VOLUMES (37° Angle of Repose)
    Diameter in feet Height in feet Volume in Cu Yds Weight in Tons at 100 lbs/cu foot
    26.54 10 68 92
    39.81 15 230 310
    53.08 20 545 740
    66.35 25 1065 1440
    79.62 30 1845 2490
    92.89 35 2930 3955
    106.16 40 4370 5900
    132.70 50 8540 11525
    159.25 60 14755 19920
    185.79 70 23430 31630
    212.33 80 34970 47210
    238.87 90 49790 67220
    265.41 100 68300 92210

    To find volumes and weights of stockpiles with other angles of repose, multiply those values in the table by the factor computed as follows.
    Factor=[1865.4686 (Angle of Repose)] - [0.00DD14 x (Angle of Repose)2] - 0.3819



    This was helpful tips from you in getting rough estimates without getting so much complications as where you may find assistance on handling your property.. Thank For Sharing!

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