My 98 Elantra with 98k miles just recently stopped engaging all gears
with OD on. I can only get Drive to work below 15 mph and only for 15
seconds. The shifting seems to work fine with OD off. I have only
tested this for about 20 miles. Is there something that can be done
to correct this without having to replace the transmission?

 

It's possible that you can get away with just replacing the end clutch, but
that doesn't happen very often on your transmission. Most likely, you'll
need to overhaul or replace the transmission. If you're considering that
repair, include the dealer in your price quotes. Hyundai prices their
remanufactured transmissions quite reasonably. Dealer cost is so low that
most dealers sell the transmissions for less than manufacturer list.