Crank is derived from the olden days when you actually had a crank you stuck in the front of the engine to turn it over to get it to start and run.
When you crank it over, that means the starter is turning the flywheel and the pistons are going up and down. If it won't start, that means it stops turning over as soon as you turn the ignition key to the run position away from the crank or start position.
No crank condition means you turn the key to the start position to engage the starter and it doesn't turn the engine over.