First let's define someting.
Cranking means turning the engine over. The starter motor turns the engine over. If the starter is working, the engine is turning over. If the engine is turning over, the starter and battery are working.
Saying that the engine does not turn over is saying that the starter is not working, the battery is dead, or the engine is siezed.
An engine cannot crank AND not rutn over.
It sounds like you are trying to say that the engine cranks but will not start or will not light off.
If that is what you are trying to say, a new starter would not help.
There are three basic reasons that an engine can crank and not start. 1st, lack of fuel reaching the cylinders. 2nd, lack of ignition spark to light the fuel. 3rd, lack of compression to compress the air/fuel mixture.
Possible problems:
1. Empty fuel tank, plugged fuel filter, bad fuel pump, something wrong with the fuel demand circitry including the computer and all that it entails.
2. Worn spark plugs, bad ignition coil, engine flooded with fuel so that the plugs are fouled, something wrong with the ignition control circuits including the computer and all that it entails.
3. Broken timing belt or belt that has jumped timing, worn out rings and cylinder walls, etc.
