A continuation from post #8
Tension and carriage position are not related.
Tension and carriage movement can be related but are not instantaneous.
Understanding ropeway spans Part 2
Sag=Low tension…well maybe.
It’s helpful to remember that tension may not be the primary controlling factor for sag investigation – see below.
Some ropeway history
The formula for the sag in rope between supports was solved many centuries ago. For all practical purposes
* it resembles a parabolic shaped curve so for this topic’s explanation I will reference that formula.
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Sag in feet = (Weight per foot
X Length between supports
X Length between supports) / (8
X Tension) …S=(WLL)/8T…use feet and lbs for this equation**
Sag can also be controlled by tower spacing…notice the span length is squared in the equation above. Tower spacing most case relates better to the load at each tower.
Ropeway oversight by outside agencies
In Oregon the US Forest Service mandates a load test every 7 years or sooner for major modifications - any questions regarding incorrect tensioning or haulrope sag would have been seen and addressed at that time.
The perception the sag was “improving” each time you rode the lift.
Yes this perception is quite correct; implying it is related to a change in tension might be premature. Any load at any other point on the lift will always raise the longest span first – easy to do after the first group of powder hounds thins out over the next few runs and gets distributed along the lift at different spans.
Did someone drop the ball on setting up the lift for winter operation??!!
Nope – it’s either on the lower towers with the correct carriage position and tension or off of the lower towers and again with the correct carriage position and tension. Also see ropeway oversight above.
*Parabola or parabolic curves work quite well with flat spans under 1000’. For ropeways a catenary curve formula is used along with a slope correction formula, break-over angle, upline or downline, and more specific weight per foot formula as this gives more precise results. The parabolic formula is presented here because it is easier to understand for the lay person.
** You can play around with this formula and get some astonishing results if your input figures are not well understood.
Typical ropeway tension varies between 20,000 and 40,000 lbs…changing this value even by 1000 lbs has little meaning.
As a reminder tension for sag calculations is one-half the total tension of the system. Tower spacing varies between 100 and 400 ft with a 250 ft a well used average.
The weight per foot is the rope weight plus the carrier weight plus the rider weight.