Actually, if you squeeze hard enough, you can strip a #6 stranded wire with the #14 jaws on a wire stripper. Wire size is printed on the outer jacket of the cord. I forget how often but about every 2 feet or so. Either printed or embossed in the outer jacket. Should be something like 10/3 SJ or something similar.
If, in fact, someone has replace your #10 (30 amp) shore cord with #14 (15 amp) cord then you will have a definite voltage drop issue resulting in heating. Shore cords have to be stranded or they would not have the necessary flex required for connecting to the power pedestal.
Also, if your cord is #10 and you stripped the wire with the #14 jaws you have effectively reduced the capacity of the wire form 30 amps to 15 amps by removing not only the insulation but a good portion of the conductive wire strands. You should redo the connections using the proper tools and techniques.