A very long shot, based only on the Archimedes screw bit:
The Spacetime Pit, by Stephen Baxter and Eric Brown, published on Interzone, #107 May 1996
The story is about Katerina Wake, a pilot of a planetary survey ship whose shuttle crashes on a planet inhabited by a primitive race of silicon based, frog-like alien farmers.
Trying to get back to the orbiting mothership, she tries to advance the technology of the aliens, starting with the aforementioned Archimedes screw. and then goes back to her stasis pod to wait for further developments.
After some centuries of little progress, she makes a threat of killing the aliens unless they buils a rocket that takes her to her orbiting ship.
After another century or so, she finds a war-torn but technologically advanced world, that instead of the requested rocket has built nuclear missiles to destroy the mothership.
The resulting explosion destroys all the life in the planet, and the pilot tries to seed life on the barren planet (unsuccesfully).
About finding the story online, "F'han Lha" is a pretty specific search term. Also, being able to read Spanish helps a lot.