I have been thinking a car lift system could be modified to work for high density storage.? Each level lays on a piece of plywood or frame with spacers attached below.? Swing the arms in just above the level you want access to.? Lift the load a couple of inches or just enough to slide out what you want.? Build a solid roof over and curtain sides or open up your existing shed sides.? Trimming high value lumber to 112" makes me sad.?
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There are lots of styles.? Some are even portable.
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Jonathan Smith