Luckily, we have also managed to find a detailed video tutorial of the Barn door project that illustrates the process of building a Barn door of your own. The steps and instructions in the video tutorial are different from the source links listed above. Actually, you can make different types of designs for your Barn door depending on which one you can afford easily and DIY on your own.
Linseed oil sitting in a bowl, or spread on the surface of wood, is perfectly safe. But a linseed oil soaked rag provides a vastly increase surface area, so the oxidation happens faster, and the rag can provide insulation, trapping the heat. The increased temperature speeds up the oxidation even more, which raises the temperature even more, and the runaway feedback can quickly result in temperatures that will cause the rag to spontaneously burst into flame. This isn't one of those "do not drive car while sunscreen is in place" warnings. This is one of those "keep your finger off the trigger until you have the gun pointed at something you want to shoot" warnings. Rags soaked in linseed oil will catch fire, if you don't handle them properly, and they can do so far more quickly than you might think.
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I don't see anywhere you mentioned the over all length of the bench top. A piece of 1 1/2" x 25" x 8' glued edge oak at Lumber Liquidators costs $192 including tax. Two piece is almost $400! Would that be better if I use two IKEA 1 1/4" x 25" x 74" solid Beech ($99 each plus tax) on top of a layer of 3/4" Birch plywood. That would be 3 1/4" over all.