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-   -   Where are the numbers relating stiffness to speed or power? (https://www.bikeforums.net/road-cycling/902424-where-numbers-relating-stiffness-speed-power.html)

Campag4life 07-22-13 08:22 AM


Originally Posted by Racer Ex (Post 15875358)
RIDE magazine did old school/new school bike comparison several years ago using powermeters on several models of 80's steel race bikes and new carbon bikes.

As I expected, adjusted for weight it took more watts for the older more flexible frames and wheels to climb the same course (by a fairly big percentage). It was also worth noting that the average descent took a LOT more time. Sprinting was impacted. They didn't start breaking it down into components, because they really didn't need to. So yes, there's data out there.

There's plenty of data out there about aerodynamics and drag.

Any decent engineer can explain energy transfer and any physics student knows energy in cannot equal energy out. Flex uses energy. So does drag. The End.

What gets missed is the human component and how fatigue affects watts over duration. That's also a given for anybody with a rudimentary understanding of physiology...more fatigue, less watts.

Horses for courses. No one is going to ride RAAM on a Fuji SST and track sprinters aren't going to win much on a Litespeed Ghisallo.

Unless you're racing or doing a lot of high speed cornering, or are a fat ass, stiffness isn't a big concern.

If marketing BS gets your panties in a giant bunch you should leave civilization as we know it and become a hermit in some forest, because marketing pervades everything down to the makeup people's wives put on and the Rogaine most of the 41 uses.

Truthful, funny and entertaining post. Yes we humans are highly impressionable. :)

Bacciagalupe 07-22-13 08:24 AM


Originally Posted by Campag4life (Post 15875247)
Right on the money. Second law of thermodynamics.

None of the theoretical explanations violate the 2nd Law. Everyone accepts that some useful energy is lost to friction, but that amount is extremely small.



I side with Giant's thesis that past a given point, more stiffness doesn't matter...at least for the average weekend warrior. In fact, it may make the bike less livable. But here is the point. Stiffness is rider specific etc.
And again, we can't evaluate any of these theories without hard data. (I'd also say that since Giant included that claim in marketing materials for a $10,000 bike used by pros, they believe it applies at very high wattages.)



As to why manufacturer's don't post data...I have to laugh as an engineer developing products for over two decades.
Have you really not noticed how they publish data about aerodynamic advantages?

E.g. here's a whitepaper from Cervelo: http://www.cervelo.com/media/docs/Ce...cddcd4f6-0.pdf They quantify differences in drag, discuss methodologies and yaw selections, explain the relevance in detail... all over a one minute savings on a 60 mile ride.

If they aren't doing the same for frame stiffness, there has to be a reason.



frame stiffness can't be measured by the public to verify.
It can -- and is -- measured by third parties, like Velonews, Procycling and Roues Artisanales.



would stiffness nos. really sell more product?
Bike manufacturers do publish lateral stiffness numbers. So obviously, they don't think this will confuse anyone, and do think it will sell bikes. The buzzwords "laterally stiff" and "vertically compliant" have been in use for years now.



Lastly...the status quo argument. Why do manufacturers make custom stiff frames for 2000w riders like Thor and Boonen...and incur this tremendous cost.
They do not make custom frames for riders. UCI rules don't allow it. Any bike used in the pro peloton has to be commercially available, even if it's insanely expensive and/or in limited numbers (e.g. McLaren Venge).

In addition:
1) What benefits a 2100-watt monster like Greipel may not benefit other riders. (Which is why you see lots of Tarmacs and few Venges.)
2) What benefits a 2100-watt monster like Greipel may not benefit Joe Average.
3) There are other reasons why a rider might choose a stiffer frame.
4) None of this answers the unproven question of "does a stiffer frame transfer power better?"



It has obviously been demonstrated by countless testing of pro teams, riders and engineers that more stiffness manifests more efficient energy transfer.
No, it really hasn't. Pros have believed a lot of things over the years that have turned out to be wrong.

What it says is that pros happen to like stiff frames. That doesn't prove that power output is improved.

achoo 07-22-13 08:33 AM


Originally Posted by Bacciagalupe (Post 15874109)
No, the theory is that the more compliant frame works like a spring

So does the stiffer frame, and since smaller amounts of energy are transferred, smaller amounts of energy are lost.


, and almost all of the energy is returned in what happens to be a useful fashion.
1. Assertion with no supporting evidence
2. Also applies to any frame no matter what the stiffness is


The only energy is lost is via friction, which is very small in this condition.
Another assertion with zero supporting evidence.

Phantoj 07-22-13 08:33 AM


Originally Posted by Bacciagalupe (Post 15873865)
As has been pointed out a few times, the dominant theory is that the frame acts like a spring. When the spring is released, that force winds up going to the pedal on the upstroke. The only loss would be to friction, and it's a very small amount.

Yeah, but... impedance mismatch

BillyD 07-22-13 08:37 AM

OP, just curious, has anybody provided any empirical data yet? No way I can read through this kind of stuff.

achoo 07-22-13 08:39 AM

All the claims being made for how a frame that's really flexy stores and returns energy also would apply to a stiffer frame as well.

But the stiffer frame:

1. Transfers more energy directly to the drive train because it doesn't store it in the first place (and then HOPE it can return it to the drive train later...)
2. Doesn't lose as much in the energy transfers.

Claiming a flexier frame doesn't lose more energy is like claiming you've found a perpetual motion machine.

Homebrew01 07-22-13 08:44 AM


Originally Posted by BillyD (Post 15875484)
OP, just curious, has anybody provided any empirical data yet? No way I can read through this kind of stuff.

Nope.
But still civilised discussion all along :thumb:

Homebrew01 07-22-13 08:47 AM


Originally Posted by achoo (Post 15875491)
All the claims being made for how a frame that's really flexy stores and returns energy also would apply to a stiffer frame as well.

But the stiffer frame:

1. Transfers more energy directly to the drive train
because it doesn't store it in the first place (and then HOPE it can return it to the drive train later...)
2. Doesn't lose as much in the energy transfers.

Claiming a flexier frame doesn't lose more energy is like claiming you've found a perpetual motion machine.

That's the debate ... How does being stiffer get more power to the drivetrain ??
A stiffer frame flexes less, but isn't the same amount of energy wasted in trying to flex the stiffer frame ? You just don't realize it. X amount of energy goes to the wheel, and Y amount goes to lateral force on the frame. A stiffer frame resists the force better, but it is still there.

Bacciagalupe 07-22-13 08:50 AM


Originally Posted by BillyD (Post 15875484)
OP, just curious, has anybody provided any empirical data yet? No way I can read through this kind of stuff.

Nope.

achoo 07-22-13 08:51 AM


Originally Posted by Homebrew01 (Post 15875524)
That's the debate ... How does being stiffer get more power to the drivetrain ??
A stiffer frame flexes less, but isn't the same amount of energy wasted in trying to flex the stiffer frame ? You just don't realize it.

No. The stiffer frame does not waste the same amount of energy.

If you assume the force the cyclist generates is independent of how much the frame flexes, the smaller flex means less energy is transferred. Period. End of discussion.

Because energy is force times distance.

Bacciagalupe 07-22-13 08:54 AM


Originally Posted by achoo
Claiming a flexier frame doesn't lose more energy is like claiming you've found a perpetual motion machine.

No, it isn't. Because everyone accepts that the spring loses some energy to friction. The point is that any energy lost that way is so small, that it's inconsequential.



Originally Posted by achoo (Post 15875491)
the stiffer frame...

Again:

1) Theoretically, all of the stored energy that is not lost to friction does go back to the drivetrain (albeit indirectly).
2) Without hard data to back up these claims, stating categorically that "X is true" begs the question.

RJM 07-22-13 08:54 AM

This reminds me of bokeh arguments on photography forums. In the end, the better frame/bike is the one you personally like more and that very well could be the flexier frame. There is such a thing as too stiff in bicycle design.

Campag4life 07-22-13 09:09 AM


Originally Posted by Bacciagalupe (Post 15875429)
No, it really hasn't. Pros have believed a lot of things over the years that have turned out to be wrong.

What it says is that pros happen to like stiff frames. That doesn't prove that power output is improved.

Won't get into a protracted aka convoluted? :) debate on a bike forum over the second law of thermodynamics...my major in college...lol.

As to a given pro's belief relative to given cause/effect that begets a particular paradigm. Points in time have little relevance, but long term trends tend to matter however aka the migration over time toward stiffer frames which have become available due to evolving technology.

There are no flexy bike in the pro peleton for good reason. Also chicken and egg. Why do pros prefer stiff frames at the exclusion to comfort? Simple..they are faster. Just like most pros don't ride with beach cruiser handlebars due to aero drag. :)
Btw, your assertion is wrong. Power output isn't improved in any frame scenario. This would violate the 2nd law of thermodynamics. Stiffer frames more efficiently transfer 'existing power' generated by the rider to the wheels which translates in higher road speed.

You do make one good point however. Why does the marketing department of Cervelo publish aerodynamic nos. for their frames? Calculus is based on selling more bikes because if it weren't it would be pure intellectual property. I believe the reason is, the difference is more quantifiable with drag nos. versus stiffness nos. In other words, the magnitude difference is greater than the small stiffness difference from a Cervelo R3 to S5 and hence this data manifests a greater perception of improvement underscoring an aero benefit. None-the-less a good point.

Campag4life 07-22-13 09:12 AM


Originally Posted by RJM (Post 15875553)
This reminds me of bokeh arguments on photography forums. In the end, the better frame/bike is the one you personally like more and that very well could be the flexier frame. There is such a thing as too stiff in bicycle design.

Same argument on audio forums. :)

Campag4life 07-22-13 09:14 AM


Originally Posted by Bacciagalupe (Post 15875550)
No, it isn't. Because everyone accepts that the spring loses some energy to friction. The point is that any energy lost that way is so small, that it's inconsequential.

Who said it is inconsequential? You. You versus all of pro cycling. Where's your data?..lol.

Bah Humbug 07-22-13 09:18 AM


Originally Posted by achoo (Post 15875540)
No. The stiffer frame does not waste the same amount of energy.

Prove it. Because my belief is that the frame flexes less per X input, but the rider is still putting X input laterally. Just like a stiffer spring will compress less for a given force, but that doesn't mean because it compresses less that less force was applied.


Originally Posted by achoo (Post 15875540)
If you assume the force the cyclist generates is independent of how much the frame flexes, the smaller flex means less energy is transferred. Period. End of discussion.


Originally Posted by achoo (Post 15875540)
If you assume the force the cyclist generates is independent of how much the frame flexes, the smaller flex means less energy is transferred. Period. End of discussion.


Originally Posted by achoo (Post 15875540)
If you assume the force the cyclist generates is independent of how much the frame flexes, the smaller flex means less energy is transferred. Period. End of discussion.

I repeated it a few times for you. Let me know if that actually ends things.


Originally Posted by achoo (Post 15875540)
Because energy is force times distance.

Sure. Now show me where spring rate is in that formula. You know, since frame stiffness is the actual point of contention in this thread, not high school physics.

wphamilton 07-22-13 09:24 AM


Originally Posted by Bacciagalupe (Post 15875550)
No, it isn't. Because everyone accepts that the spring loses some energy to friction. The point is that any energy lost that way is so small, that it's inconsequential.



Again:

1) Theoretically, all of the stored energy that is not lost to friction does go back to the drivetrain (albeit indirectly).
2) Without hard data to back up these claims, stating categorically that "X is true" begs the question.

It has to go somewhere, but how do you justify that it all goes back to the drivetrain? Assuming by friction you mean just the internal friction from the deformed frame material. This is the point of the theory where I stumble. I don't see why the return or some of it can't be against pressure exerted by the leg muscles. Maybe friction is increased at the bearings as the flex torques pedal axle. Or the twisting contact patch of the tire (as the deforming changes angle of the wheel) scrubs energy as friction heat and tire deformation.

rpenmanparker 07-22-13 09:24 AM


Originally Posted by BillyD (Post 15875484)
OP, just curious, has anybody provided any empirical data yet? No way I can read through this kind of stuff.

Uh...no! Did you expect them to?:)

rpenmanparker 07-22-13 09:27 AM


Originally Posted by wphamilton (Post 15875684)
It has to go somewhere, but how do you justify that it all goes back to the drivetrain? Assuming by friction you mean just the internal friction from the deformed frame material. This is the point of the theory where I stumble. I don't see why the return or some of it can't be against pressure exerted by the leg muscles. Maybe friction is increased at the bearings as the flex torques pedal axle. Or the twisting contact patch of the tire (as the deforming changes angle of the wheel) scrubs energy as friction heat and tire deformation.

Just the usual lingo for imperfect nature of a spring in the real world. E.g. a compressed and released spring doesn't oscillate forever. You could think of friction as molecular or metal crystal interaction. Hysteresis is the technical term that encompasses all causes of loss, right?

Rekless1 07-22-13 09:30 AM

tl; dr

My OPINION based on personal experience is that stiffness has little to nothing to do with "loss" and everything to do with application of force.

While your spring is absorbing , holding and then returning force, my steel pipe lever has put my wheel clearly in front of yours.

It not much more complcated then that.








<-------- might have been considered a sprinter back in the day.

wphamilton 07-22-13 09:35 AM


Originally Posted by Bah Humbug (Post 15875652)
Prove it. Because my belief is that the frame flexes less per X input, but the rider is still putting X input laterally. Just like a stiffer spring will compress less for a given force, but that doesn't mean because it compresses less that less force was applied....

He's not wrong there, can't argue with the spring energy equation .5 force times displacement. For the spring F=-kx since for work you integrate kx dx over the range of x you get the one half. e=.5k x^2 substitute kx=F to get E=.5Fx

gc3 07-22-13 09:38 AM

bravissimo! nine pages...

http://gc3.smugmug.com/Other/Bikes/i...rjo0604h-M.jpg

Bacciagalupe 07-22-13 09:40 AM


Originally Posted by wphamilton (Post 15875684)
It has to go somewhere, but how do you justify that it all goes back to the drivetrain?

OK, once again.

Your leg is not weightless. Some of the force you apply during the pedal stroke is used to lift your leg.

When you deform the frame at the BB, the BB doesn't just move laterally, it also tilts. The result is that at the maximum deformation point, the pedal is actually lower than if the pedal was at rest (and no forces acting on it, other than gravity) at the 6:00 position. So when the BB springs back, it is not just moving laterally, it is also tilting the entire crank assembly back up, which in turn lifts your leg.

The stored energy thus helps lift your leg. Thus, that's a small amount of energy that, instead of lifting your leg, goes to the drivetrain. The only way you lose energy is to the friction of the frame's motion.



Maybe friction is increased at the bearings as the flex torques pedal axle. Or the twisting contact patch of the tire (as the deforming changes angle of the wheel) scrubs energy as friction heat and tire deformation.
I'm sure there is friction all over the place. But since a flexy frame doesn't get red hot after 20 minutes of vigorous cycling, it's unlikely that we are dealing with massive amounts of friction.

And yet again, to point back to the OP, the only way to confirm whether or not this is the case is via empirical tests. And yet, people continue to insist that they know the answer, despite the lack of evidence.

rpenmanparker 07-22-13 09:41 AM


Originally Posted by gc3 (Post 15875749)

Seemed like a good idea at the time.

RollCNY 07-22-13 09:48 AM

Okay, here is my question to the "don't look at force, look at energy" crowd:

Compare a push up to a plank. There is no displacement to a plank, does that mean the body uses no energy, compared to the displacement of a pushup?


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