Mil-tech bard wrote:As there were no such things as fairly sophisticated tension controls for 1860's-1930's ropeways, and they worked out just fine, I don't see an issue here.
Jonathan_S wrote:Without fairly sophisticated tension controls having towers sticking out the side of the cliff holding a near vertical cable don't help with the "elevator problem" because they can't revive the upper cable of the need to support the entire weight of the lower cable (plus the weight of the cargo)
When you run a lengthy fairly horizontal cable across a series of vertical supports they each take some of the weight and the cable need only support the load and the weight of the cable between any two adjacent towers.
But with a vertically hung cable the intermediate towers just hold it away from the cliff. They don't transfer the vertical force into the rock; that's all done at the top tower/anchor.
Before I dive off into the technical details, I want to say a couple things:
1) We have no evidence of a pre-existing ropeway system used during the excavation of the gap. And as they came in from the side it's possible that they didn't need one; they could have kept blasting the rocks down into the slowly lengthening cut then hauling them out on the road they were cutting.
2) Your later post finally let me understand one of your proposals, and see it would be technically possible to construct a ropeway running horizontally but parallel to the cliff face.
But if one doesn't already exist I doubt it's easier or safer to construct one, while Arcana holds the far side of the portal, that is it to secure the gap. And after securing that road and railway you don't have need to construct a ropeway down.
Now onto the technical details:
The amount of weight a ropeway can move between two towers is a function of the cable angle between then. At nearly horizontal angles the entire weight of the cargo transfers to the heavy fixed cables than run between towers. As they don't move they can be easily tensioned so that the towers takes the entire force and it isn't transferred to rest of the cable. The fixed cables to sag some, so the moving cable need to impart enough force to not just overcome friction, but to drap the load up angle of the cable's sag into the next tower; however the force required is still quite low.
But as you increase the cable angle less and less of the weight transfers into the fixed cables and more and more has to be taken by the moving cable. And what's worse, the moving cable can't be easily tensioned at each tower so it ends up carrying an increasing fraction of it's own weight as well as the increasing fraction of the cargo weight.
The corollary to that is that the steeper the ropeway the less weight it can carry. And as it goes past 45-50 degrees it begins to act more like an elevator rather than a ropeway.
But that force transfer vs angle is also why for a given tech level an elevator will always have to be shorter and/or carry less payload than a more horizontal ropeway.
Now you can lessen the rise angle by pushing the support tower further back; but at some point you run into a crossover point where the total suspended mass of the cable segment becomes too much and making it longer to flatten out the slope no longer helps and begins to hurt. (Unless you can break it into two segments by installing an intermediate tower to terminate the fixed cable segments at)
But all this means that unless you can show how the terrain allows for the necessary slope and support towers you can't just point to ropeways in general and claim they can work in any particular situation (much less that ropeways of a given length prove you can have elevators of that length)
For instance your earlier suggestion that you could just have a ropeway sticking out perpendicular from the cliff. That would have required a base tower
at least 3000 feet out from the base of the cliff, with the terrain offering no practical spot for intermediate towers. This results in a 4500+ foot long, unsupported, cable segment rising at roughly 45 degrees; which appears to be excessively long for that angle of fall.