Agriculture, Livestock & Landscaping Feed, Hay, Forage & Rations NRC nutrient requirements (beef, horse, small ruminant)

Hay Needed for Winter Calculator

This calculator tells you how many bales and how many tons of hay you must have in the barn to feed a set number of animals for a set number of days. It works the way a nutritionist does: it starts from dry matter intake as a percent of body weight, converts that to as-fed pounds using your hay's dry matter, then adds a feeding-waste allowance so the answer is hay you have to buy, not just hay the animals swallow. Enter a hay price and it returns the cost of the whole feeding period and the cost per head per day.

Calculator

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Inputs this calculator takes, with typical values
InputWhat to enterExample
Number of animalsCount only the animals eating hay from this stack; feed calves and adults separately if their weights differ a lot.20
Average body weightMature weight of an average animal in the group; weigh a few or use a weight tape rather than guessing.1200 lb
Daily dry matter intakeDry matter eaten per day as a percent of body weight; see the reference table below for your class of livestock.2.5 % of body weight
Length of the feeding periodDays you will feed hay — count from the day the pasture stops growing to green-up, then add a two-week margin.150 days
Weight of one baleAs-fed weight of one bale on a scale, not the size on the baler's monitor. A 5 ft x 6 ft round bale usually runs 1,000-1,400 lb.1100 lb
Hay dry matterDry matter percent from a forage test; dry hay is normally 85-90%, wrapped baleage 40-60%.88 %
Feeding waste allowanceHay pulled from the bale but never eaten — trampled, soiled or refused. Depends almost entirely on the feeder you use.15 %
Hay priceDelivered price per ton of hay as fed. Divide a per-bale price by the bale weight in tons if that is how you buy.180 $

It returns

  • Bales to buy — Rounded up — you cannot buy a partial bale, and the last one is never fed clean.
  • Tons of hay required (as fed)
  • Hay offered per head per day
  • Bales per head per 30-day month
  • Hay cost for the period
  • Hay cost per head per day

The formula

Bales=NWpdD(1w)B
Tons=NWpdD(1w)2000

In plain text: Bales = (head × BW × intake% × days) ÷ DM% ÷ (1 − waste) ÷ bale weight

  • NNumber of animals fed from this stack (head)
  • WAverage body weight (lb)
  • pDaily dry matter intake as a fraction of body weight (decimal)
  • dLength of the feeding period (days)
  • DHay dry matter as a fraction (decimal)
  • wFeeding waste as a fraction of hay offered (decimal)
  • BAs-fed weight of one bale (lb)

Intake is expressed on a dry matter basis, which is why the dry matter percent appears in the denominator: it converts pounds of dry matter into pounds of hay as it sits in the barn.

Updated Category Feed, Hay, Forage & Rations Verified against published test cases Reading time 13 min

What a winter hay budget actually measures

A hay budget answers one question: how many tons must be under cover before the grass stops growing. Everything else follows from four numbers — how many animals you feed, how much each one eats, how many days you feed them, and how much of what you put out never reaches a mouth.

The part that trips people up is the difference between dry matter and as fed. Nutritionists express intake on a dry matter basis because that is the only way to compare a bale of dry timothy with a bale of wrapped baleage. A cow eating 24 lb of dry matter a day eats about 27 lb of 88% dry hay, or about 48 lb of 50% baleage. Same nutrition, wildly different scale weight. If you budget in as-fed pounds without checking the dry matter, you can be a fifth short before you start.

The second gap is feeding waste. Hay that is trampled, bedded in, soiled or pulled out and refused still had to be bought. Round-bale feeder design changes this dramatically: in a Michigan State University trial, a cone-insert feeder wasted 3.5% of the hay offered, a conventional ring 6.1%, a trailer-style feeder 11.4% and a cradle feeder 14.6%. Over a 150-day winter on a 20-cow herd, the difference between the cone and the cradle is roughly seven tons of hay you either buy or do not.

Because both of those adjustments are divisions, they multiply. Hay that is 88% dry matter fed with a 15% waste allowance takes 1 ÷ 0.88 ÷ 0.85 = 1.337 lb purchased for every pound of dry matter the animal actually consumes.

The formula and why it has this shape

Start at the animal and work outward. Daily dry matter intake is body weight times an intake percentage — a 1,200 lb cow at 2.5% eats 30 lb of dry matter a day. Multiply by head count and by days and you have the total dry matter the group needs for the period.

Now undo the two losses, in the order they happen. Dividing by the dry matter fraction converts dry matter into hay as it sits in the bale. Dividing by (1 − waste) converts hay eaten into hay offered, because waste is defined as a share of what you put out, not a share of what gets consumed. That distinction matters: at a 20% waste allowance you must offer 1 ÷ 0.80 = 1.25 times what is eaten, not 1.20 times.

Finally divide by bale weight to get bales, or by 2,000 to get tons. Bale weight is the number most farms get wrong, because bales are quoted by size rather than mass and density varies with forage species, moisture and how hard the baler was set. If you have not put a bale on a scale, estimate it with the round bale weight calculator before you trust a bale count.

Two refinements the formula deliberately leaves out. It assumes intake is constant across the period, whereas a spring-calving cow's requirement climbs sharply in the last trimester and again after calving — feed the highest-demand class separately rather than averaging. And it assumes hay is the entire diet; if you feed grain or stockpiled pasture for part of the winter, shorten the day count instead of trimming the intake percent.

Worked example: 20 cows for a 150-day winter

Twenty mature beef cows averaging 1,200 lb, fed for 150 days on grass hay testing 88% dry matter, in ring feeders, with 1,100 lb round bales at $180 a ton.

  1. Dry matter per head per day. 1,200 lb × 2.5% = 30 lb of dry matter.
  2. Dry matter for the group. 30 × 20 head × 150 days = 90,000 lb of dry matter.
  3. Convert to as-fed hay. 90,000 ÷ 0.88 = 102,273 lb of hay eaten.
  4. Add the waste allowance. 102,273 ÷ (1 − 0.15) = 120,321 lb of hay offered.
  5. Convert to tons. 120,321 ÷ 2,000 = 60.16 tons.
  6. Convert to bales. 120,321 ÷ 1,100 = 109.4, so buy 110 bales.
  7. Cost. 60.16 tons × $180 = $10,829, or 120,321 ÷ (20 × 150) = 40.1 lb of hay per cow per day at $3.61 per head per day.

Check the answer against a rule of thumb every hay buyer knows: about one 1,100 lb round bale per cow per month. Here it is 109.4 bales ÷ 20 cows ÷ 5 months = 1.09 bales per cow per month. The arithmetic and the rule of thumb agree, which is exactly what you want from a sanity check.

Now change one input. Feed the same cows on the ground instead of in a ring, at a 30% waste allowance: 102,273 ÷ 0.70 = 146,104 lb, or 133 bales and $13,149. That single change costs $2,320 — more than a ring feeder costs.

How to read the answer and how much margin to carry

Treat the tonnage as a floor, not a target. Three things routinely push real consumption above the calculated figure, and all of them point the same way.

Cold weather raises maintenance requirements. Below an animal's lower critical temperature, energy needs rise, and on a hay-only diet the animal responds by eating more. A cow with a dry winter coat has a lower critical temperature around 32 °F; a wet coat raises it to roughly 59 °F. A run of hard weather can lift intake well above the 2.5% you budgeted.

The feeding period is longer than you think. Green-up dates move by three weeks between years. Budget the days you expect, then carry an extra two to four weeks of hay, which is 13-27% on a 150-day winter.

Poor hay is eaten in larger quantities of lower quality. Intake falls as fibre rises, so very mature hay actually suppresses intake — but it also fails to meet requirements, forcing supplementation. Get a forage test before you buy: the dry matter number goes straight into this calculator, and the crude protein and TDN numbers tell you whether hay alone will hold body condition.

A practical margin: budget the calculated tonnage plus 15%. If your answer is 60 tons, buy 69. Hay keeps; a January hay market does not forgive.

The cost per head per day is the number to compare against alternatives. If hay is running $3.61 per cow per day, extending grazing with stockpiled fescue or cover crop residue almost always wins on cost — work the arithmetic through the pasture grazing days calculator before you buy the last twenty bales.

Daily dry matter intake by class of livestock

Typical voluntary dry matter intake on forage-based diets, as a percent of body weight. Use the middle of the range unless you have a forage test and a reason to move.
Class of livestockDry matter intake (% of body weight)Example: DM lb/day
Beef cow, mid gestation1.8 - 2.01,200 lb cow: 22 - 24
Beef cow, last trimester2.0 - 2.21,200 lb cow: 24 - 26
Beef cow, lactating2.3 - 2.61,200 lb cow: 28 - 31
Growing calf or stocker2.5 - 3.0600 lb calf: 15 - 18
Mature idle horse1.5 - 2.01,100 lb horse: 17 - 22
Horse in moderate work2.0 - 2.51,100 lb horse: 22 - 28
Ewe, late gestation2.5 - 3.0160 lb ewe: 4.0 - 4.8
Ewe, lactating twins3.0 - 4.0160 lb ewe: 4.8 - 6.4
Meat goat doe, gestating2.5 - 3.5120 lb doe: 3.0 - 4.2
Lactating dairy cow3.0 - 4.01,450 lb cow: 44 - 58

Ranges follow the National Research Council nutrient requirement series for beef cattle, horses, small ruminants and dairy cattle. Small animals eat a higher percent of body weight than large ones, and lactation raises intake in every species.

Weigh a bale before you trust a bale count

Bale weight is the single largest source of error in a hay budget, and it is the easiest to fix. Two bales of the same nominal size can differ by 400 lb depending on species, moisture and baler pressure. Run three representative bales across a scale — a livestock scale, a set of portable pads, or a loaded trailer weighed at a grain elevator — and divide. If you cannot weigh, estimate from dimensions and density with the round bale weight calculator, and be conservative with density.

Mistakes that leave you short in February

  • Budgeting in as-fed pounds when the intake figure is dry matter. This understates hay by 12-15% on dry hay and by half on baleage.
  • Ignoring feeding waste entirely. Even the best round-bale feeders lose a few percent; ground feeding loses far more. Waste is bought hay.
  • Applying waste as a multiplier instead of a divisor. A 25% waste allowance means dividing by 0.75, which is 33% more hay, not 25% more.
  • Using nominal bale size as bale weight. "A 5 by 6" is a dimension, not a mass. Weigh, or estimate from density.
  • Averaging classes that eat differently. A herd of dry cows, bred heifers and a bull is three intake rates, not one; run each group separately.
  • Forgetting the shoulder seasons. Most operations feed some hay in late autumn and again during a wet spring, well outside the deep-winter window they budgeted.
  • Counting hay you cannot reach. Bales stored outside on the ground lose dry matter to weathering and spoilage; that loss is on top of feeding waste.

Storage loss, alternatives, and where this fits

This calculator counts hay at the feeder, not hay at the stack. Round bales stored outdoors on bare ground shed rain poorly at the base and lose dry matter over a winter; bales stored on a well-drained pad, net-wrapped and under cover lose very little. If you buy in autumn and feed in March, add a storage allowance on top of the calculated tonnage or store the hay properly, because the calculator cannot see spoilage.

The alternative to buying hay is extending the grazing season. Stockpiled tall fescue, standing corn residue, brassica or cereal-rye cover crops and rotational management all move days off the hay budget, and each hay day removed is worth whatever the cost-per-head-per-day figure says. Compare that against your stocking rate using the stocking rate and AUM calculator.

If hay alone will not meet requirements — common with mature grass hay for a lactating cow or a growing calf — you are into ration balancing rather than inventory. Blend a protein supplement to a target with the Pearson square ration calculator, and if you are feeding for gain rather than maintenance, track efficiency with the feed conversion ratio calculator. For dairy cattle, intake is predicted from milk yield rather than assumed as a percent of body weight; use the dry matter intake calculator instead.

One last check on your own inputs: body weight. Mature cow weights have drifted upward by several hundred pounds over the last few decades, and a herd that everyone calls "1,200 lb cows" often weighs 1,400. That is 17% more hay. If you have never weighed them, tape a sample with the cattle weight tape calculator or the horse weight calculator and use the real number.

Key terms

Dry matter (DM)
What is left of a feed after all water is driven off. Intake, energy and protein are all expressed on a dry matter basis so feeds of different moisture can be compared.
As fed
The weight of a feed exactly as it is delivered to the animal, water included. Bale weights, scale tickets and hay prices are all as-fed figures.
Feeding waste
Hay removed from the bale but not consumed — trampled, soiled, bedded in or refused. Measured as a percent of hay offered.
Baleage
Forage baled at high moisture and wrapped in plastic to ferment. Typically 40-60% dry matter, so a ton of baleage carries roughly half the dry matter of a ton of dry hay.
Lower critical temperature
The ambient temperature below which an animal must burn extra energy to stay warm. Coat condition matters more than breed: a wet coat raises it sharply.

Frequently asked questions

How many round bales does one cow need per month?

Roughly one 1,000-1,200 lb round bale per cow per month, which is where the common rule of thumb comes from. A 1,200 lb cow eating 2.5% of body weight consumes 30 lb of dry matter a day, or about 34 lb of dry hay; over 30 days that is about 1,020 lb eaten, and with a 15% feeder allowance about 1,200 lb offered. Heavier cows, colder weather or ground feeding push it above one bale a month.

How much hay does a horse need per month?

A 1,100 lb horse in light work eats about 1.5-2.0% of body weight in dry matter, so 17-22 lb of dry matter or roughly 19-24 lb of hay a day — about 570-730 lb a month, which is 12-15 small square bales at 50 lb each. Horses fed in a stall waste less than horses fed round bales in a paddock. Never budget a horse below 1.5% of body weight in forage; gut health depends on the fibre, not just the calories.

Should I enter intake as dry matter or as-fed?

Dry matter. The intake percentages in every nutrient requirement table, including the one on this page, are dry matter figures. The calculator converts them to as-fed pounds using the hay dry matter percent you enter, which is why that field exists. If you enter an as-fed intake percent and leave dry matter at 88%, the answer will be about 14% high.

What waste percent should I use?

Use the feeder you actually own. Michigan State University measured 3.5% waste with a cone-insert round-bale feeder, 6.1% with a conventional ring, 11.4% with a trailer feeder and 14.6% with a cradle feeder. Unrestricted access to round bales fed on the ground loses substantially more than any of those. Processing hay and feeding it in a bunk can be low-waste but adds fuel and equipment cost. The default of 15% is a conservative middle for ring or cradle feeding in muddy conditions.

Does this work for baleage or wrapped bales?

Yes — set the dry matter percent to the tested value, usually 40-60%, and enter the wet bale weight. The calculator then correctly asks for roughly twice the tonnage you would need in dry hay, because half of a baleage bale is water. Do not compare a baleage price per ton with a dry hay price per ton without making that adjustment; price baleage per ton of dry matter instead.

How much extra hay should I buy beyond the calculated amount?

Add about 15% as a working margin, and more if you store bales outdoors. The margin covers three things the formula cannot see: a late spring that stretches the feeding period, a cold snap that raises intake, and dry matter lost to weathering in storage. Running out in February means buying on the worst market of the year, usually with freight.

How do I convert a per-bale price into a price per ton?

Divide the bale price by the bale weight in tons. A 1,100 lb bale at $60 is 1,100 ÷ 2,000 = 0.55 tons, so $60 ÷ 0.55 = $109 a ton. This calculator's price field offers a per-1,000-lb-bale option that does the conversion for you. Always compare hay on a per-ton basis, and ideally on a per-ton-of-dry-matter basis, since bale size varies far more than sellers admit.

Can I use one calculation for a mixed herd of cows, calves and a bull?

Only as a rough total. Intake scales with body weight and with production stage, so a 600 lb calf, a 1,300 lb dry cow and a 2,000 lb bull eat very different amounts. Run the calculator once per group and add the tonnages. If you want a single pass, use a weighted average body weight and the intake percent of the largest group, which errs high — the safe direction for a hay budget.

Why does my answer change so much when I edit the bale weight?

Because bale weight is the only divisor between tons and bales, the bale count is inversely proportional to it. Dropping the assumed bale weight from 1,200 lb to 900 lb raises the bale count by a third for exactly the same tonnage. The tonnage figure is the reliable one; the bale count is only as good as your weight estimate, which is why weighing a sample of bales is worth the trip to the scale.

References

  • Nutrient Requirements of Beef Cattle, 8th revised edition (2016) — National Research Council / National Academies Press
  • Nutrient Requirements of Horses, 6th revised edition (2007) — National Research Council / National Academies Press
  • Nutrient Requirements of Small Ruminants: Sheep, Goats, Cervids and New World Camelids (2007) — National Research Council / National Academies Press
  • Buskirk, D.D. et al., "Large round bale feeder design affects hay utilization and beef cow behavior", Journal of Animal Science 81(1):109-115 (2003) — American Society of Animal Science