Steering problem when turning the corner the steering does not go fully back to normal you have to pull the wheel straight. drifts slightly from side to side have to keep pulling back to sraighten. on motorway feels like shopping trolley and have to fight with wheel to keep straight always drifting feels heavy when driving tahn when parked up with engine running

Try this..... Put key into ignition and turn so lights come on (facia).. Do not start car... Turn the steering wheel left to right 90° approx a few times. This will be quite hard to do.
Then turn off ign and restart as normal.
If steering wheel light has gone out and steering is working you will need a new motor drive at some point.
Note.. Sometimes the fuse blows so check fusebox and replace if necessary.

meaning of all over road -while driving it pulls -which side -/drifts to one side /erratic wheel wobble -run flats are a harder side wall tire so turning and going around curves you will have a slightly different feel ---and go and have a second opinion from another dealer and ask about the characteristics of runflats paired with your suspension

A number of alignment issues or worn parts can cause pulling, and it may just need an alignment. A brake caliper not fully releasing can pull on that side also .

The front wheels are at a angle putting pressure on the steering lock , rock the steering wheel from side to side while turning the key.

IF you have a rack and pinion steering pull the steering shaft of the pinion splines and centre the wheels . Centre the wheel and put the steering shaft back on the splines. If it is master splined then centre the steering wheel and adjust each side tie rod until the wheels are centred . (one in -other out ). Remember that when the wheels are straight ahead then the steering wheel will be slightly to the left (USA) to compensate for the camber of the road.. IF a steering box pull the pitman arm off --centre the wheels and the steering wheel and refit the pitman arm

1 Open the hood and loosen the clamp bolt on the negative battery cable with an adjustable wrench turned in a counterclockwise direction. Pull the cable straight up and off of the terminal and push it aside. Wait 15 minutes, before continuing this procedure, to allow the air bag circuitry to deactivate.
2 Pry the two plastic screw covers from the rear of the steering wheel spokes in the passenger compartment with a flat blade screwdriver. Remove the two screws revealed after removing the covers with an 8 mm socket attached to a ¼-inch drive ratchet wrench turned in a counterclockwise direction.
3 Lift the horn pad straight up from the top of the steering wheel. Carefully pull the air bag wiring harness connector from the bottom of the horn pad. Set the horn pad aside.
4 Remove the two screws holding each cruise control switch (there are two switches, one on each side of the steering wheel) with a Torx screwdriver turned in a counterclockwise direction. Lift up on the switch and pull the wiring connector apart with your thumb and forefinger. Repeat this action for both switches. Remove the switches from the steering wheel.
5 Install the new switches (make sure the "On/Off" switch is on the right-hand side) onto the steering wheel using the original mounting holes. Tighten the holding screws with a Torx screwdriver turned in a clockwise direction.
6 Push the air bag wiring connector back into the bottom of the horn pad until it is fully seated. Place the horn pad into position on the steering wheel. Tighten the holding screws from the back of the steering wheel with an 8 mm socket and ratchet. Push the two screw covers into the back of the steering wheel until they snap into place.
7 Place the negative battery cable back onto the terminal and tighten the clamp nut in a clockwise direction with an adjustable wrench. Close the hood.

Hello Mohamede.

Not sure what your question is here.

I will post a couple of common issues with the Elantra steering problems.
Hopefully one of these following problems will assist you.

1. SERVICE TIP - POWER STEERING OIL PUMP WHINE NOISE DESCRIPTION:
Before replacing a power steering oil pump for a "whine" noise condition, check the oil pump reservoir filter screen for contamination. If the filter screen at the bottom of the oil pump reservoir is clogged, it may cause the pump to aerate and cause a "whine" noise.
If the filter screen is clogged, replace the reservoir and reconfirm the condition.

2.Subject
ABSOLUTE STEERING POSITION (ASP) CALIBRATION FOR ELECTRIC POWER STEERING (EPS) DESCRIPTION:
This bulletin provides the Absolute Steering Position (ASP) calibration method for 2007-2009 ELANTRA (HD) and 2009 ELANTRA TOURING (FD) Electric Power Steering (EPS or Motor-Driven Power Steering). This procedure is required when the battery is discharged or after the battery or EPS-related parts are replaced.
NOTE:
If the EPS ASP calibration is not conducted when the battery is discharged or after the battery or EPS-related parts are replaced, the EPS and or Electronic Stability Control (ESC) warning lamp will be turned on and the automatic EPS return-to-center control will not be performed. VEHICLES AFFECTED:
Model: 2007-2010 ELANTRA (HD), 2009-2010 ELANTRA TOURING (FD)
3. Subject:
DIAGNOSIS AND CORRECTION OF VEHICLE PULL This bulletin supersedes TSB 05-50-012 to include 2009 models
DESCRIPTION:
Several factors may cause vehicle pull, both vehicle related and external conditions. The purpose of this bulletin is to assist in identifying the vehicle related conditions that cause pull and how to correct those conditions.
CAUSES OF VEHICLE PULL:
Vehicle pull is the tendency of the vehicle to drift right or left while driving in a straight ahead direction on a straight road at a constant speed with no pressure on the steering wheel. This pull or drift may be gradual and can always be compensated for by inputs through the steering wheel. One or more of the following conditions may cause the vehicle to pull:
Non-vehicle conditions that may cause the vehicle to pull:
^ Cambered road surfaces - Most highways are built with cambered or "crowned" surfaces to drain rain water. Sometimes the road camber is visually noticeable. Other times, it is not. The vehicle may tend to pull to the left or right, depending on the camber of the road surface. ^ Cross-winds - A sometimes overlooked, yet possible cause of steering drift is cross-winds. Side winds at higher vehicle speeds may cause vehicle pull. Please do not rule out cross-winds when diagnosing a vehicle pull. Vehicle pull caused by these two conditions is not related to vehicle adjustments and no repair should be made.
Vehicle conditions that may cause the vehicle to pull:
^ Tire inflation pressure - As small as a 2 pounds/square inch tire inflation pressure difference between the right and left tires may cause a vehicle to pull. Be sure to check the tire pressure before the tires are warmed up prior to attempting more extensive diagnosis. ^ Wheel alignment - Slightly out of specification wheel alignment causes very few vehicles to pull. Therefore, if the vehicle wheel alignment has been adjusted as close as possible to specification, DO NOT attempt to correct the vehicle pull by changing the wheel alignment angles by bending suspension components or other non-approved methods. ^ Uneven brake adjustment - If one of the four brakes is dragging, the vehicle may pull to the side of the dragging brake. Verify that none of the brakes are dragging and that they are adjusted correctly prior to attempting more extensive diagnosis. ^ Incorrect vehicle trim height - If the trim height of the vehicle is not equal on all sides, the vehicle may pull to the side of the lower trim height. Check and adjust the trim height of the vehicle as necessary. Please note that a slight variation in the vehicle trim height seldom causes a noticeable vehicle pull.
^ Tire construction - The way in which the tire is built can produce vehicle pull. An example of this is the placement of the under tread belt. An off-center radial tire belt can cause the tire to develop a side force while rolling straight down the road and the tire will tend to roll like a cone. To correct this condition, please use the flow chart. This chart provides the sequence of procedures designed to be performed for all conditions of vehicle pull. ^ Tire size - Different size tires or different make of tires, on either axles, may cause a vehicle pull.

a arm bushings worn out

Check both front wheels with the steering wheel centered. One or both may appear to be pointing in the wrong direction slightly. Check both sleeves on the tie rod ends to make sure they are tight and not able to turn. (adjustment sleeves are slightly different than on most cars. One sleeve extends from the drivers side across the front and is about 21/2' long the other is shorter and is about 5" to the passenger side of the pitman arm on the steering box. If either moves, turn it 'till the wheels are fairly straight, tighten the bolts that are on the clamp around the slotted tube, and bring it to an alignment shop and have the toe in re-set.
A condition such as this is nothing to mess with. loss of steering is extremely dangerous.

The only thing likely to generate heat in the front whell hub is the brake disk, if this is not a result of driving habit (accelerating and braking hard) then you probably have a caliper binding slightly.
A quick way to establish this is if the car drifts to one side if you let go of the steering wheeel on a straight road or it pulls to one side when braking. If it is a binding caliper it is quite easily remedied by taking off the calipers and cleaning and greasing the slides.