I would not put anything of value under one of those tarp style carports. I had one and it cost me a new backwindow in the wife's car which wasn't even under it. they will not hold up in wind, or other storm/weather.
Trust me everyone says oh I'll tie it down good, well let me break down how mine was...
I had the screw in stakes at each corner, I had concrete blocks on each leg base, I had a 4 foot long rebar mine roof bolt drove into the ground with a 16 lb. sledge hammer at opposing angles at each corner with a good 1/2 thick rope tied around the corner and down to that rebar.
THEN I had the front, back and sides ratchet strapped to my truck, it still blew down in a bad thundersotmr and wiped a poll out and around smashing the back glass in the wife's 00 monte carlo, cost me $300 to get that fixed.
My mom's boyfriend had one, had fence posts that had about 50-80 lbs or quickrete on each, tied to each leg of his, blew over no problems and alot of times more then mine.
Now with that said if it's behind your house and it's like right up next to it depending on how much wind you get and the direction, it may be ok with some good extra support to hold it down and the house serving as a wind break on it.
