I live in the second rainiest city in the country, Pensacola, so I am used to dealing with wet. I literally work out of my garage (read storage area, small woodwork area, washer/dryer...car? ). I wheel bigger tools and table out to the little covered area in front of the garage. I have an 8 x 10 aluminum shed that is strictly garden stuff storage. I mention this for two reasons.
Thread the rods through one of the legs, then set the leg flat on the table. Insert dowels into the dowel holes. Place the matching stretchers into place. Put dowels into the dowel holes at the top end of the stretchers. Place the other leg onto the threaded rod and settle it down onto the dowels. You'll probably have another opportunity to whack away with your rubber mallet.
@cahudson42 I bored the holes in my sandwich top with a 3/4" power auger bit with the drill in a portable drill guide that kept it vertical and in a way a bit like a plunge router. The guide screw of the auger was dead easy to centre over the laid out grid points. The holes are dead straight and clean sided. The auger bit was new which probably helped. As stated I have three rows from an end vise running the length of the front as well as from the front vise and holes in the front apron to support long pieces as well.
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The tutorial that I am sharing here was written by someone who built this pallet art just to improve the value of a property they wanted to sell fast and they succeed in it. So you can imagine how wonderful this item must look like. I am assuming you do not just want to make this beautiful pallet art so that you can also sell your property easily. Well, whatever your reasons are, this beauty is able to attract anyone who visits your house.
Put the upper panel of MDF on your glue-up surface, bottom side up. Put the bottom panel of MDF on your other surface, bottom side down. (The panel with the holes drilled in it is the bottom panel, and the side that has the your layout diagram on it is the bottom side.) Chuck up in your drill the appropriate driver bit for the screws your using. Make sure you have a freshly-charged battery, and crank the speed down and the torque way down. You don't want to over-tighten the screws, MDF strips easily.
Out of all the shed books I have read, this book stays by my side while I hammer in the yard. The book is well written by what appears to be a non professional book writer (A Good Thing). It reads as if you are getting advise in laymans terms from your neighbor "The Craftsman", a welcome change from the DIY books, that assume a level of expertese. The level of detail is high and discusses gotcha's, advise, and trade "secrets" that could have only come from years of personal experience building sheds.