Car engine parts and other car parts without fuel or traces of fuel are allowed in carry-on or checked bags. Car engine parts may be placed in checked bags only if the parts are packed in their original box and free of gasoline and oil.
For items you wish to carry on, you should check with the airline to ensure that the item will fit in the overhead bin or underneath the seat of the airplane.
If you have questions regarding hazardous materials regulations, please see the FAA website.