Hello Stump165: Not a expert on this but maybe I can offer some help.
The Shakespeare 18 Foot Base antenna has a few different configurations I believe. Shakespeare sold Marine and land base antennas, even back in the 1960's. So there maybe differences out there.
Helping a friend out many years ago, his Shakespeare Antenna had a high VSWR and didn't get out like it use to. Replacing the top whip antenna didn't fix it, but changing the bottom part did fix it. What I suspect was that he running too much power into it, and some how damaged it.
By cutting it open (in a outside area with a fan blowing the fiberglass dust away from you) length wise may reveal how's its designed and allow better coax to be installed like RG142 or RG400 these are Teflon Insulated Mil-Spec Coaxes. The bottom section could be repaired with new fiberglass cloth and fiberglass resin. That's a lot of work for a older antenna, but doable. Please post pictures if you do this.
When the Shakespeare ABS 1800 came out they advertised it to handle 4 KW, they had a problem with some connection inside the lower section of the antenna, and then dropped the line I believe.
So a little power to the tower might be over doing this antenna. I think you would have to cut open the base or bottom section to see how's it wired. I haven't heard any fix all, fix on this antenna.
Suggest you call Shakespeare Antennas and see if a Engineer or Technician could help you for a repair. They still sell the 18 Ft Marine Big Stick Antenna.
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Good luck, let us know if you can get it fixed. It would be good to know what they say......
Jay in the Great Mojave Desert