The three jobs, in order
Take 1.40 in of ice over 16,327 square feet. That is 1,905 cubic feet, and at 57.2 lb per cubic foot it weighs 108,956 pounds. Warming it from 20 °F to freezing takes 0.49 x 12 = 5.9 Btu a pound, or 640,659 Btu. Melting it takes 144 Btu a pound, or 15.7 million. The melting is 96 per cent of the heat and none of it moves a thermometer.
At 400,000 Btu/h that is 40.8 hours of melting. The same ice becomes 13,056 gallons of water, and a drain measured at 40 gallons a minute takes 5.4 hours to swallow it. The two run together, so the sheet is clear after the longer one — 40.8 hours here, and the drain is not the problem.
The floor is the long pole
A 5 in slab over that area is 6,803 cubic feet at 145 lb per cubic foot, which is 986,000 pounds. At 0.21 Btu per pound per degree it takes 207,000 Btu to move the whole floor one degree. Bringing it from 22 °F to 55 °F is 33 degrees and 6.8 million Btu, which at 400,000 Btu/h is 17 hours of heat — but a 2 °F per hour ramp limit puts 16.5 hours on it, so the two are nearly matched and the heat governs by half an hour. Change the ramp to 1 °F per hour and it doubles to 33 hours and the limit takes over.
Why anyone hauls ice out
Sawing the sheet into blocks and driving them out on a loader skips the melting entirely, and the melting is the expensive part. The trade is labour, machinery on the floor and somewhere to put a hundred thousand pounds of ice. The haul field in the form lets you split it: haul half and both the heat and the drain time halve with it.
What this cannot know
It cannot tell you how fast your floor may be warmed. That is a number from the people who designed and built it, and the field exists to hold theirs. It has no view on how you put heat into the building, and it deliberately says nothing about doing any of it with the refrigeration plant, which is the refrigeration contractor's work in a room this page has no business describing.
Questions people ask
Why is the total not just melt time plus drain time?
Because water starts leaving as soon as ice starts melting. The two overlap, so the sheet is clear when the slower of the two finishes, not when both have run end to end. The page reports each and then takes the longer.
Can I speed it up by warming the floor at the same time?
In practice ice-out and floor warm-up run into one another, and how much they overlap depends on the building. The page keeps them separate and adds them, which is the conservative reading. If your floor is genuinely coming up while the last of the ice is going, your calendar will beat this number.
What ramp limit should I use?
Whatever your engineer or floor contractor specifies for your floor. There is no general figure and this page will not offer one. If nobody has given you a limit, ask for it before you start rather than picking one.
Is hauling the ice out cheaper than melting it?
It depends entirely on your labour, your equipment and where the ice goes, none of which this page knows. What it can tell you is exactly how much heat and drain time hauling saves, which is the input to that decision rather than the answer to it.
Why does 1.4 in of ice make only 13,000 gallons?
Because ice is lighter than water. The 1,905 cubic feet of ice weighs 108,956 pounds, and that weight of water is only 1,746 cubic feet. Ice always gives back less water volume than it occupied, which is the same eight per cent that made the sheet deeper than the floods that built it.