Batman wrote:Sikon wrote:Batman wrote:
You are aware that WRT the drive mechanism the track isn't the knee joint, ankle or anything, it's the Valendamned sneaker you're wearing, yes?
Sneakers and other shoes last for vastly more than 1000km, yet tank tracks are replaced about every 1000km, so clearly the comparison is imperfect.
People rarely weigh more than a couple hundred pounds while tracked vehicles routinely weigh double-figure tons so clearly the comparison is imperfect. See the connection?
The comparison is imperfect. One shouldn't conclude tank tracks are like sneakers or last as long. My point is that tank tracks made with today's materials need to be replaced after around 1000km. The above isn't a problem for my argument. It would be a problem if I had argued tracks are like sneakers, but I didn't.
Batman wrote:
You are using a part of the tracked vehicle design that is, to be bluntly, NOT a relevant part of it in context to comment on its reliability WRT walkers. Why don't you look at the drive train, transfer rollers, drive wheels etc and see how long THEY last instead.
Whatever the rate of problems with other parts, the track replacement trouble is enough by itself to temporarily take modern tanks out of operation. I don't have to try to find data on every part, just find an upper limit on overall reliability, as determined by the weakest link.
Batman wrote:
I notice you never bothered to run any of them numbers you say SHOULD support feasible walkers with modern-day materials.
The bones of human and animal "walkers" are much weaker than suitable metals. Trying to do a real analysis would take too long, but one can give a very rough illustration of what is possible.
Darth Wong did
here an evaluation of AT-AT legs using an elastic modulus of 200 GPa for modern-day structural steel. Let's assume that with a density of around 7800 kg/m^3.
Although the dimensions of the AT-AT legs do not seem structurally implausible, I am only trying here to show that walkers aren't impossible even with only modern-day materials. So let's modify the leg cross-section and quickly make up the characteristics of an imaginary legged vehicle roughly around the size of an AT-AT but without GFFA technology, without trying for precisely the same dimensions. Treat body volume as like that of a rectangular solid 8 meters wide, 10 meters high, and 20 meters long. Treat average density like that of a submarine (1000 kg/m^3), so body mass is 1600 metric tons.
Before considering more complicated loading, let's look at the situation when the legged vehicle is just standing still on all four legs. Body weight on each leg is 400 tons. Randomly decide the legs weigh half as much, so each leg masses 200 metric tons itself. For the example, arbitrarily consider a leg length of 15 meters and outer diameter of 2 meters. That gives an inner diameter around 1.35 meters.
To check for buckling, one needs the moment
I, and for the circular leg cross-section it is
(pi / 4) * [(r_o^4)-(r_i^4)], where
r_o is the outer radius and
r_i is the inner radius. For now, just considering the leg like a single column, one end fixed and one end free, the critical buckling load is
F_crit = (pi^2 * E * I) / (4 * L^2) where
E is Young's modulus of 200 GPa,
I is 0.622 m^4, and
L is 15 meters (not converting to effective length as the factor is already included in this formula). Thus,
F_crit is 1.37E9 N, which is 139000 metric tons. Another potential method of failure is that a short column could fail by exceeding the compressive strength of the material even if loading is under the previously calculated buckling load. Checking, the stress at
F_crit would be 800 MPa. This is above the yield stress for common structural steel. However, some types of steel have higher yield stress, and let's just assume the right type with a similar modulus is used so I can skip spending the time to recalculate. This isn't exact, rather just showing the order of magnitude involved.
Thus, during the ideal minimum loading condition of the vehicle standing still on all four legs, the above force before failure is up to the equivalent of 139000 metric tons per leg, up to more than 200 times the vehicle's weight.
Actual maximum loading with a real design and analysis would be vastly more complicated. There might be a safety factor of 2 or more; peak loading could be multiple times minimum loading; etc. As one random example, if the robotic control of a leg has its foot approach the ground at 5 m/s while deaccelerating over a distance of 0.5 meters, the average acceleration involved would be around two gravities. The working strength considering fatigue over many loading cycles might be as little as 50% or less of the standard yield strength value. Joints and bearings would be particular issues. One would have to consider stress concentrations depending upon subtleties like the effective radius of curvature at tapered joints, etc. Shock-absorbers and/or thickly padded feet might be used.
However, the above is still enough to give one a general idea of the situation. The legged vehicle with a 1600 metric-ton body weight and four large circular steel legs each 15 meters long massing 200 metric-tons each could easily be structurally sound.
This shouldn't be surprising. Admittedly animals are smaller with a lesser weight to leg dimensions ratio, but it is still a good intuitive observation to note how animals manage to stand up, walk, and move with bone that is not nearly as strong.
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Hopefully nobody reading the above is going to say the dimensions, mass, etc. are not those of the AT-AT. I know. I don't care. This is just an illustration.
Legs shaped like the AT-AT legs instead would be possible, but observe such would only be made in that manner if not much of a structural disadvantage. In fact, the AT-AT with relatively narrow legs hitting the ground hard suggests the Empire doesn't have to worry much about the structural strength of its walkers.
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What is being argued here is already getting confusing, so let's clarify. I am arguing that even modern-day materials would not prevent a suitable legged vehicle design from traveling a greater distance than 1000km on average without needing to undergo major maintenance during the journey. This is in contrast to modern-day tank tracks that have to be replaced approximately every 1000km.
As implied before, the situation with GFFA technology and materials instead is unclear, but there is a possibility that their legged vehicles may be able to go longer than tracked vehicles without the equivalent of track replacement.
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Batman wrote:Sikon wrote:
Aside from suggesting GFFA materials might change the situation, the main argument I could see here would be one trying to argue that today's tank tracks wearing out after typically 1000km are poorly designed, arguing that tracks should be able to last much longer than 1000km.
That's funny, I can't see anybody arguing that.
When I referred to a possible argument of one trying to argue so-and-so, I didn't mean to imply you were arguing such. That was why I said "would be one trying to argue" rather than saying "would be Batman trying to argue." Admittedly, I could have made my statement extra clear. Instead of having it just one blank line away from my reply to your post, I could have made a third separate post. Also, I could have inserted the word 'potential.' However, the point was to talk about a potential argument I anticipated one could make against me.
Keep in mind, from my perspective, arguing that no legged vehicle design made with modern-day materials could go further than 1000km without breakdown is implausible. Even the example of animals should make people be more cautious about such an assumption. Yet suggesting GFFA materials or different track design could change the relative performance of tracks beyond the present-day 1000km would be a better argument. I was addressing what I see as the best possible argument against my position.
Batman wrote:
All I see is YOU arguing since tracks only last so short, a walker must last longer regardless of the fact that the mechanical stress on the drive train of a walker has very little to do with the stress on the treads of a modern tracked vehicle.
Given that current tank tracks typically have to be replaced after the equivalent of at most several tens of hours of travel time at tens of kilometers per hour, I do believe an optimally designed legged vehicle made with modern materials could last longer before needing the equivalent of such troublesome maintenance.