This picture shows the wrenches I use to loosen and tighten a stuffing box. One wrench is a traditional pipe wrench and the other is a spanner wrench designed for a sink drain. Both of these wrenches are available at Home Depot or a hardware store. I find it easier to use the pipe wrench on the small & thin locking nut and the spanner wrench on the big nut. It's very important to use wrenches that fit the nuts well. Water pump pliers will, in many cases, not work very well or will not get the nuts tight enough after adjustment. Use good wrenches and not pliers for safety's sake.
If you have tried the above method and the nuts don't break apart use a little bit of PB Blaster penetrating oil. Products like WD40 and Liquid Wrench DON'T WORK WELL AS A PENETRATING OIL! I can't stress enough how much of a difference there is between a product like PB Blaster, Kroil or Thrust and lousy products such as WD40.
Here's a direct quote from a guy who used this site for directions. Unfortunately after three hours, Liquid Wrench and a broken tool he gave up and emailed me for advice:
QUOTE: "I knew where the cap and the locking nut were, I just couldn't budge them. Went out and bought PB Blaster. Ten minutes after spraying it broke loose. PBB rocks!"
*WARNING, WARNING, WARNING:
Be very careful NOT to get PB Blaster near ANY engine or transmission seals. True penetrating oils will EAT engine seals causing catastrophic failure of that seal. The most common seal DIYers destroy is the transmission output shaft seal. Be very, very careful using PB Blaster on your engines coupling bolts and DO NOT use the spray feature when working that close to seals. If you need to use a penetrating oil on coupling bolts fill the PB Blaster cap with the penetrating oil and then use a Q-Tip to dab PB Blaster on the bolts being very careful not to drip ANY on or near the transmission output shaft seal.