2003 Hyundai elantra has a pressure fluid leak. steering power is hard and the belt and hoses have no leak. but the pressure fluid tank emptied as soon as i pour more in. passenger side. as i turned the wheels to check for problems i heard a loud hissing sound as if pressure was being realesed.???? help?

SOURCE: power steering pump--2001 hyundai elantra

If it's not a serpetine belt, max deflection of 3/4" on longest segment should be safe,  don't make alternator belt tight as a drum or you will burn out alternator bearings quickly.  If it has serpentine belt, the spring tensioner should keep the belt properly tensioned unless it's worn out.
It only needs to be tight enough to not slip, too loose will squeal and you will have to tighten,  to tight will kill alternator and you will spend $$.

SOURCE: broken off wheel stud on a 1998 hyundai elantra

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SOURCE: HI I GOT AN HYUNDAI ELANTRA YEAR 2001 2LITRES,HAVE

check the fuse for power steering. It might be electrical.

SOURCE: 2000 hyundai elantra replaces all the belt ,but

dear friend-if your model came with a multy v belt(pk)then the power steering pump is equipt with a alluminuim pulley,should this be then the belt inbeds into the pulley to deep,replace or file down.

SOURCE: car stering wheel is hard to turn left or right

your power steering pump has a cap on it.you have cold mark and hot mark.when car is cold engine not running.when you remove power steering cap it should be on cold mark.if not add until you get to cold mark on cap stick..dont over fill or you blow the seal.now when engine is hot been running.turn off car check.power steering cap should read full hot.mean level is correct.when you first check power steering fluid and it was real real low.you got a leaking high pressure hose.or power steering pump seal is leaking.if all check out good.your problem could be low tire pressure.worn ball joints.and tie rod ends.rack and pinion steering gear binding.