it could be that your Power Steering fluid is low or that your power steering pump has gone out. I have the same problem until the fluid warmes up. I believe it's the power steering pump it's seems too small for the car. I have changed the fluid and installed new belts but it's still the same. I believe these cars are JUNK at least mine is. I have had nothing but trouble and now the wiper motor is gone
Driver side underneath the dash on left of steering wheel.
The 2006 Hyundai Elantra has a 8 ft. 6.7 in. (102.7 in.) wheel base.
The 2008 Hyundai Elantra has a 8 ft. 8.3 in. (104.3 in.) wheel base.
The 2005 Hyundai Elantra has a 8 ft. 6.7 in. (102.7 in.) wheel base.
The 2007 Hyundai Elantra has a 8 ft. 8.3 in. (104.3 in.) wheel base.
The 2001 Hyundai Elantra has a 8 ft. 6.7 in. (102.7 in.) wheel base.
The 2003 Hyundai Elantra has a 8 ft. 6.7 in. (102.7 in.) wheel base.
The 2010 Hyundai Elantra has a 8 ft. 8.3 in. (104.3 in.) wheel base.
The 2004 Hyundai Elantra has a 8 ft. 6.7 in. (102.7 in.) wheel base.
The 2013 Hyundai Elantra has a 8 ft. 10.3 in. (106.3 in.) wheel base.
The 2002 Hyundai Elantra has a 8 ft. 6.7 in. (102.7 in.) wheel base.
The 2011 Hyundai Elantra has a 8 ft. 10.3 in. (106.3 in.) wheel base.