Aww, there is so much to say about the historical part of Sighisoara that you can hardly fit it in one blog.
The covered staircase to which you have referred is a very important building, having the name of "Schoolchildren's staircase", it was built somewhere in 1642(), its role being to protect children when weather conditions were not favorable (rain, snow, high temperatures or even wind).
Somewhere after finishing climbing those stairs, children could go to school and people from the village could reach the church on the hill (another fabulous historical landmark).
And I have visited all the sights in this fabulous city, so maybe you will come back here with another post from this city and other equally interesting places.
I'm curious about your impression of this city.