Vol 3: No. 3

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Introduction

Wisconsin Forage Wagon Density Study

How can the total weight of a loaded forage wagon be calculated?

How accurate is this calculation?

Estimating the Weight of Forage in a Forage Wagon

by Daniel W. Wiersma and Brian J. Holmes
Marshfield Agricultural Research Station
Biological Systems Engineering


Introduction

Most dairy farmers do not have a drive-over scale available on their farms. Frequently it would be useful to know the weight of forage harvested from a field. Measuring alfalfa or corn silage yield is necessary to adjust management practices, to maintain crop inventories, and for crop reporting purposes. Sometimes growers sell hay from a field and require an estimate of the quantity removed or sold.

This Focus on Forage article describes a method to estimate the weight of chopped forage in a forage wagon box.

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Wisconsin Forage Wagon Density Study

Researchers at the Marshfield Agricultural Research Station conducted a study to estimate the weight of loaded forage boxes. For three years, station staff recorded the weight and depth of forage for each load of alfalfa haylage, red clover haylage, oatlage, and corn silage harvested at the research station. In addition, forage samples were taken from each load to measure moisture content. Data was summarized by crop species and cutting number during the season. 

Table 1 shows the average silage density of each forage species. Averaged over all species and cuttings, the density of forage in a wagon was 5.0 pounds of dry forage per cubic foot (lbs DM/ft3). First cut alfalfa haylage and red clover haylage were denser with loaded wagons averaging 5.6 lbs DM/ft3. Grass forages were less dense and averaged 4.6 lbs DM/ft3.

Forage
Species


Cutting

Forage
Density

Dry Matter Content

 

 

lbs DM/ft3

%

Alfalfa

1st

5.7

45.6

 

2nd

5.0

47.0

 

3rd

5.1

51.7

 

4th

5.0

56.7

Red Clover


All


5.5


48.3

Grass

All

4.6

43.5

Oat

-

5.0

36.6

Corn

-

5.0

34.4

Average

All

5.0

45.5

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How can the total weight of a loaded forage wagon be calculated?

When the density of haylage or corn silage in a forage box is know, an estimate of the total forage weight in a chopper box can be calculated by multiplying the chopper box volume by the forage density. Measurements should be taken on each chopper box to determine the width and length. It is important to determine the fill height for each load so that the correct volume is computed. If loads are always filled to a uniform height in the forage box, an average height measurement can be used.

One suggestion for helping to determine the depth of fill in a forage box is to make permanent marks on 1/2 ft intervals on the side of the forage box. Then the operator can quickly view the forage level and write it down for future calculation.

Example Calculation

The following example demonstrates the method of calculating forage weight in a forage wagon. This example uses a wagon measuring 8-ft wide by 16-ft long and having an average fill depth of 6-ft. In addition, this example will assume an average forage density of 5.0 lbs DM/ft3 and a forage dry matter of 40%.  

Step 1. Calculate the volume of forage in a forage box.

  8 ft wide x 16 ft long x 6 ft high =768 ft3

Step 2. Calculate the dry weight of forage in a forage wagon.

  5.0 lbs DM/ft3 x 768 ft3
      = 3,840 lbs dry forage
¸ 2000 lbs/ton
      = 1.9 tons dry forage

Step 3. Calculate the wet weight of forage in a forage wagon.

  3,840 lbs dry forage ¸ 0.40 %DM
      = 9,600 lbs wet forage
¸ 2000 lbs/ton
      = 4.8 tons wet forage

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How accurate is this calculation?

As with all estimation methods, there is a small amount of error inherent in this calculation method. In this study, the average density was measured as 5.0 lbs DM/ft3. The standard deviation of forage density in this study was 0.8 lbs. This means that the actual forage density for all species ranged from 4.2 lbs DM/ft3 to 5.8 lbs DM/ft3. In the example, the true weight of dry forage in the wagon ranges from 3,225 to 4,450 lbs.

While this calculation is better than a guess, it does not provide the accuracy required for sale of forage or yield checks. If better accuracy is needed, one should use a drive-over scale and weigh each load as they come in.

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Focus on Forage is a forage crop information resource of the University of Wisconsin.

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