Brian Holmes, Wisconsin Extension Engineer
We frequently get questions about the amount of silage in a silo bag. One way to estimate this value is to calculate the volume in the bag and multiply by the silage density. The volume of a round bag is calculated as:
V = 3.14 x (D2 / 4) x L
where: V = Volume (ft3), D = Diameter (ft), L = Length of silage (ft)
When full-length bags are used, the length of silage is the bag length minus the unused portion needed to seal the end of the bag.
The quantity of dry matter in the bag is the volume multiplied by the dry matter (DM) density. The dry matter density can vary from bag to bag and depends on machine type and adjustment as well as forage type. Typical densities range between 11 and 15 lbs DM/ft3. Table 1 has been developed to show silo bag capacity based on the following assumptions.
Round Bags
Silage Length = Bag Length - (2 x Diameter)
Density = 13 lbs DM/ft3
Table 1. Capacities of silage bags at 13 lbs DM/ft3 density.
|
|
||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Use the multiplier in Table 2 to adjust the values in Table 1 for a different silage density. For example, the quantity of silage in a 200' 9' bag packed to 15 lbs DM/ft3 is:
150,500 lbs DM x 1.15 = 173,100 lbs DM
Table 2. Multiplier to adjust table 1 capacities to a different silage density.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table 1 lists dry matter in one bag. If you need to know the capacity in lbs of silage as-fed (AF), divide the table value by the dry matter content. For example, the weight of 65% moisture silage that has a dry matter density of 13 lbs DM/ft3 in a 200-ft long bag of 9-ft diameter is:
Silage dry matter content = 100-65 /100 = 0.35
Silage weight as fed, lbs = dry matter weight/dry matter content
= 150,500 lbs DM/0.35= 430,000 lbs
Silage weight as fed, tons = 430,000 lbs/2,000 lbs/T = 215 T
The University of Minnesota is an equal opportunity educator and employer.
This page is part of the Biosystems and Agricultural Engineering Department web at http://www.bae.umn.edu/