Should be fairly easy with some transparent corrugated plastic roof sheets. Make sure it is closed all around to prevent high winds from lifting it off, but also have sufficient windows for ventilation in the summer.
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Very cool project! I have a couple questions:
Do you get snow in your area? If it sheds from the house roof that could be an issue.
What is the siding on the house? Greenhouses can get pretty humid/damp so you'll probably want to ensure it doesn't/can't rot the house. It can still be done but it's good to plan for. If your house is concrete that would be much less of an issue.
Also what's the directional orientation of the 12x24' space? You'll probably want to optimize your layout for sun exposure, so it'll help to know what parts will be shaded when (such as by the garage) and where the sunlight will track.
No snow.
Siding is stucco, so I'm not worried about wood rot
House is on the north, garage is on the south, the 24' is along the E-W line, so the sun should track right over the breezeway
Sounds like a great location! I'm in a very different climate zone so most of my advice would have been around keeping the temperature warm enough through winter, while it sounds like you won't have to deal with a lot of that.
I've seen some cool designs that made glass houses out of secondhand windows or slider doors - if that appeals I can share some links but it's a certain kind of look, and Povoq's suggestion of clear corrugated sheets is probably easier and more uniform. Rain collection from the house roof and greenhouse roof would be very useful.
I'll see if I have any good links for you
I love the look of repurposed windows/doors for greenhouses, and I've even seen them advertised for that purpose at resale shops, but it's really important to be careful about lead paint if you want to do that. Lead was the primary white pigment for a long time, and since windows/doors are often trimmed white, if they are older than 1978 (in the US, EU was 2003, though many member states had their own laws previously), it could be lead. Lead testers are fairly cheap if you want to go this route.
This is a really good point! Thanks for the dates that's quite useful
Searching around, it seems like stucco and high humidity may not work well together. Personally, I'd be a little concerned about algae/moss growth on my walls if I had high humidity on stucco.
My dream is to one day have a setup like this. Like others said, humidity and heat in a greenhouse are 2 big concerns. They make all kinds of automated systems for opening vents, etc.
If your primary goal is growing in a contained area to keep pests away (vs. needing to really keep the space warm in winter or something), you best bet could be a hoop house. Basically you can drive rebar or fence posts into the ground, and then arch something (pvc pipes commonly) from one side of the space to the other. You'd then pull plastic sheathing overtop. Those are commonly used to get growing started in early spring and extend growing in the fall. When it's warm enough, they basically roll up the material. You could do something similar but still have a structure of chicken wire or netting or something to keep animals away.
If you actually want to keep the space warm to grow in the winter, you might want more permanent walls with better insulation, like double walled polycarbonate.
Another thing to consider is water. If you have a greenhouse next to your house, you don't want rain that falls on it to direct water to your house's foundation.