As some have said, the correct answer is to terminate them to shielded RJ-45 plugs.
I only said that because the equipment that they plug into has regular unshielded RJ-45 jacks and I'm not sure if shielded plugs will fit into them. Also I'm not sure how unshielded plugs will fit on the end of shielded CAT5 either so you can take my advice as needing some validation.
I think this all illustrates the problems created when you try to second guess the manufacturer and do something they didn't think was necessary. If everything had shielded jacks you would simply use screened CAT5 and shielded plugs. Obviously this equipment was intended to be used with regular CAT5 and plugs so that is what you should be using. The manufacturer knows what the environment will be like where the equipment will be used and if screened CAT5 was needed they would have made provisions for it and included instructions on how to terminate the grounds.
Sometimes a little knowledge is dangerous.
-Hal
