# Thread: Stockpile Quantity Rough Estimates

1. Registered User
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

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.

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. Originally Posted by Kurt Tompkins
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!