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Re:Switzerland bores underground by jcranmer on Thursday August 04, 2016 @11:51AM (#12226351)
"Just a little" reduction in grade can mean quite a lot. The grade on a typical staircase is about 60%--for every meter of horizontal distance, the staircase rises 60 cm. In terms of hiking, one trail I went downhill had a persistent 30% grade for 1.5km or so, very much to the complaint of my knees. A persistent 10% grade would usually be considered quite strenuous for hiking.

For roads, the maximum permissible grade is lower. The steepest road in the world is about 37% grade; the exit on a highway signed "Truckers: DO NOT USE" was 13% grade. In general, anything above about 5% grade requires excessive grade warning signs.

Railroads have even stricter grade tolerances. The original B&O used "inclined planes" (effectively stationary locomotives providing extra pulling power) to navigate the tortuous 5% grade in Mt. Airy. This was quickly replaced with a 1.5% grade loop and eventually a tunnel (.8% grade). In general, freight railroads like the max grade to be around .5-1%, although mountainous terrain is usually not so forgiving (most of the major passes in the Rocky Mountains run about ~2-2.5% grade). The steeper grades require either extra locomotives to be put on the trains or the weight of the trains to be drastically reduced.

Re:Switzerland bores underground by jmcdiesel on Thursday August 04, 2016 @12:09PM (#12226499)
I've seen trucks (tractor-trailers) with flames coming from the brakes on 6% grades downhill... and the uphill sides of those the trucks are in low gear at high RPM doing 15-20mph MAX, running at 3-4x the rpm they'd run doing 75 on the highway... people underestimate grade and the effect it has on heavy vehicles

The maximum commercially viable (due to weight restriction) grade for freight railroads is 2.2% ...

Re:Switzerland bores underground by jcranmer on Thursday August 04, 2016 @01:40PM (#12227201)
If you want some hard numbers on why high grade is so problematic:

When you're pulling something along a road or a railtrack on level ground, the primary force you need to overcome is rolling friction, which is proportional to µ×N, where µ is in the range of 0.001 (rail) to 0.01 (road) and N is the normal force against the surface. For a 10 kN car (that's about 1000 kilos), this means that you need a force of about 10 N for a railcar. When you go up an incline, the rolling friction decreases according to the cosine of the angle, but now you need to overcome gravity--and this amount goes up by the sine of the angle. A measly 2% grade requires pulling a force of about 210 N, a factor of 21×.

Basically, grade really kills because you actually have to counteract gravity as opposed to friction.

Re:Switzerland bores underground by jmcdiesel on Thursday August 04, 2016 @01:46PM (#12227233)
First, thanks! I genuinely appreciate that knowledge, I'd have never looked it up on my own..

Second... why's gravity gotta be such a dick? :)

Re:Switzerland bores underground by PhantomGremlin on Thursday August 04, 2016 @10:15PM (#12229676)
The maximum commercially viable (due to weight restriction) grade for freight railroads is 2.2% ...

A 2.2% grade seems insignificant to the average person, but to a freight train it is no laughing matter. Here's a serious derailment that happened in California: https://en.wikipedia.org/wiki/San_Bernardino_train_disaster#...

At that grade it's not sufficient to use brakes in the individual rail cars, it's also necessary to use dynamic braking by turning electric traction motors into generators, then dissipating energy in giant resistive grids.