The ikea link didn't work for me but unless the doors in the link are pretty cheap you may have better luck just using off the shelf plywood.
I did go ahead and google the link and it found haggy (spelled wrong) door thats 40x24 inches for 11 dollars.
That's not a bad price for nice finished door but should maybe be a couple dollars more and include hinges. Hinges can add up quickly, especially when bought individually.
A few questions....How many shelves are you putting doors on?
Do you want to have the entire shelf unit enclosed?
What tools do you availible? Drill, circular saw?
If you go with that ikea door you would need 4 doors to enclose the entire unit. If you use plywood you could have 2 tall doors and that would require less hinges as well. (Ikea reccomended 3 hinges per door = 12 where are plywood would only need 3 hinges as well but only 2 door = 6 hinges. Do you have a preference on number of doors?
To be cheap and light i would use a 3/8th or 1/2 plywood. It could be stained or painted any way you like. 3/8th plywood can be a little tricky to use because its very thin but its possible to make lots of things, I speak from experience.
This is actually a great diy project to learn some simple wood working skills.
Either path plywood/ikea you will likely need to enclose the sides. To do this i would reccomend half inch plywood. Either pay the lumber yard to cut it (easy) or use a circular saw and do it yourself (reccomended tonget the most learning experience)
Then attach the plywood using carrige bolts, washer, and nuts through the holes in the shelf brackets.
Set the cut plywood up to the shelf and mark where the holes go, then drill holes and bolt to shelf. If you wanted to enclose the back this same method should work also, just a bigger peice of wood required.
The hinges are more complex to explain. There are a few options with hinges for starters. I will try and write out the simplest in my opinion for a tall plywood door. (The ikea doors could also be done this way but may look better with some different options.)
I would run the hinges on the exterior side peices. Exterior does give it less security but easier to install. The 3 hinges should be spaced top middle and bottom. Don't put them exaxtly flush with the too/bottom, but up/down a few inches. A standard wood screw into the plywood sides would do fine.
When installing the hinges leave them sticking out the width of the door from the edge then they can swing fully open.
I would use a hinge like this
National Hardware 282BC 6" Zinc Plated Heavy Strap Hinge
https://www.amazon.com/dp/B000BQP0RG/?tag=atomicindus08-20
The door is cut to be half the width of the opening and the full height. The hinges can also be attached to the doors with standard wood screws. Tip use a thin peice of wood or folded cardboard to keep the door off the ground for swing clearence while fastening to the hinge.
Now this method can be made to extreme tolerences and look great but for a first time diy project it may turn out a little rough but will still work fine and should look decent for less money than buying fancy garage cabinets.
Let me know if any of the stuff above is too confusing or if you have any questions i would be happy to help.
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