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Fit the 1/2" bottle adapter into the pipe nipple. Push it all the way in so the lamp socket nipple will be more secure. You will have to figure out how far to screw the socket nipple in by trial and error. The further it is screwed in, the less wobble you will have in the socket.
Connecting the socket to the pipe is really pretty easy using the bottle adapter. I will have to show you how I did this with pictures that don't have the clear tubing. I forgot to take detailed pictures when I reassembled the lamp, a third time, with the tubing.
Take the socket apart. The pieces are just pushed together and not threaded into each other. There will be a base, that threads into the nipple. Thread the base onto the nipple so it is snug against the pipe fitting. This helps hold the lamp socket secure. Remove the sleeve from the socket so you can attach the cord wires to the socket.
Connect the wires to the socket. Place the sleeve over the socket and push the socket back into the base. As I stated earlier, the sleeve is just pushed onto the base and held in by friction. By the way, I painted the socket with black metallic hammered spray paint to give it a more industrial look. The lamp socket that came with my kit was a brass color.
I needed to cut the excess tubing off so I removed the strain relief and marked the tube so about 1/4" would protrude into the strain relief. I cut the tubing and then wrapped electrical tape around the lamp cord where it exits the strain relief. It is a good idea to assemble the strain relief in the fitting first so you know where the cord exits. This way you won't have too much electrical tape visible. The strain relief is able to hold the lamp cord with the electrical tape wrapped around it.
I have to say, I was very pleased with the final product!