A better solution would have been to route a rabbet into the side, so that the added strip always had thickness. The way I did it means that the strip I glued in is very narrow, and hence very weak, at a certain point. In this case, that's not a problem, because it's going to be sitting under the countertop layer. I also noticed that because I had only clamped the strip down, and not into the edge, there was a noticeable glue gap where the strip butted up against the MDF. Again, in this application it isn't visible. But if I was doing something like this on the top of a table, I'd make sure to cut a clean rabbet, and to clamp both down and in.
Mine is similar but a bit more robust. The top is a sandwich, two 18mm sheets of WBP ply with an 18mm mdf filling. The legs are mortise and tenoned together, the ends glued and pegged, the stretchers are joined with long bolts so it comes apart. I stiffened it by adding a very closely fitted cabinet underneath (it had to go in dead square) and it is now absolutely rock solid.
Put the countertop on the base, put the MDF on top of the countertop, and line up the marks you drew on each end of the MDF with the countertop below it. When you have it lined up, clamp things down, and route the edge of the MDF using a 1-1/2" or longer flush-trim bit, with the depth adjusted so the bearing rides on the countertop. I clamped a couple of scraps of doubled MDF at each end to give the router base something extra to ride on at the ends.
Assemble the vises, for the final time. You'll not be taking them off again, so tighten everything down, and attach the endplate to the ends of the screw and guide rods. Then mark and drill benchdog holes in the outer jaws inline with the benchdog holes in the top. Generally, through-holes are preferred for benchdogs, so that they don't collect sawdust and gunk. With these vises, that isn't possible, there are screws and guide rods in the way. I drilled them just deep enough to hold a Veritas Bench Pony (their reduced-height benchdog), without it sinking to where I can't get a grip to remove it. Rockler sells some very inexpensive plastic benchdogs that can't be adjusted for height, and aren't as strong as metal or wooden dogs, that I intend to keep in the holes full-time, to keep sawdust from collecting in them.
When the holes were complete, I flipped the legs and drilled the countersinks with a 1" Forstner bit. Trying to drill a countersink when the center was already drilled would be impossible with a spade bit or an auger, but Forstner bits are guided by their edges, not their center, so they can handle this job. On thing about Forstners, though -- they have a tendency to skitter around a bit when starting, before they bite. An easy fix for this is to drill a hole through a piece of ply, and to clamp that to your work, creating a jig that will prevent the bit from drilling in the wrong spot.
New information on composite materials, adhesives, and finishes brings this book into the 21st century, while more than 300 photographs bring important visual information to life. This edition covers the nature of wood and its properties, the basics of wood technology, and the woodworker’s raw materials. Understanding Wood was written for woodworkers by a scientist with a love of woodworking. It will be sought after by craftsmen and collectors alike.”

Over 1,400 color photos and drawings illustrate the methods, from simple butt joints to angled tenons and complex scarf joints. A project as simple as a box, for example, has a dozen ways to solve the joinery question. And, since many joints can be used interchangeably, Joinery leads you through making the right choice for your project based on the function of the piece, the time you have to work on it, your skill level, and your tooling.

Comprehensive is the only word to describe this three-book set on joinery, shaping wood and furniture and cabinet construction. The three authors answer questions you didn’t even know you had. They also do it in a clear, concise and visually pleasing way. Even beginning to list the topics covered would be futile. Safe to say, if you want to learn about something that would fit under these three headings, this set will steer you in the right direction. Each book starts out with the basics and builds on that informa­tion, finishing off with quite advanced techniques. 
I have picked out a list of 9 books on woodworking that covers a wide variety of woodworking hobbies and techniques. I can personally vouch for these books, since I own most of them. These books will serve as valuable reference tools that can be used over and over. I’ve also checked the ratings and comments to make sure these books resonate with their readers. For your convenience, I’ve also included Amazon affiliate links so you can check out the Amazon reviews yourselves. Hope you enjoy the article and towards the end, I will ask you to share your favorite woodworking books.

I mocked up the two scenarios, and determined that with the plate inside the stretcher the vise would have a reach of 8 inches, and with it outside the stretcher it would have a reach of 9 inches. I decided that 8 inches was enough, and that the extra inch wasn't worth the extra effort. With the end vise mounted like this, the right edge of the top would have no overhang.
Still, one of the best features about this woodworking bench has to be its vices. First off, the Sjobergs provides two vices both as sturdily constructed as the bench itself. The same hardware that fastens the bench works to ensure the vices are just as strong. The next main benefit on the vices in the inclusion of multiple positions – four in total – for the vices to go. This allows you to mix and match to suit your needs and allows the table to be used just as easily by right-handed and left-handed users.