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Manual J for single zone mini split in basement

HU-367180668
last year

I'm finishing about 1000 sq. ft. of my unfinished basement for a recreation room and media room. The basement is mostly underground and well insulated, and it's comfortable year round even on the coldest and hottest days. I had someone check the capacity of the HVAC, and he said there's not enough to handle the extra space. The county said that I have to provide heating for the finished area. I was originally going to use baseboard heating, but it required 32 total feet of baseboard heaters, which would severely limit where we could put furniture, so we decided to go with a mini split. I told the person reviewing our permit, and he said that I would have to provide manual J and S calculations. I've found some websites that have free manual J calculators, but they require information for the entire house. I just need a calculation for the basement. Is there a formula I can use where I can plug in the cubic footage, insulation R value, and such, and get an accurate calculation? Thanks!

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