Lateral strength of bicycle wheels



Originally Posted by alienator

A butted spoke has an effective spring constant that is a function of the different diameters of the spokes. As I've shown before in this thread, the effective spring constant for a straight gauge spoke is a function of the young's modulus for the spoke material, the cross sectional area of the spoke, and the length of the spoke. In equation form it's this:





Notice the dependence on area and consider a double butted spoke. Such a spoke will the one spring constant for one end, one spring constant for the middle, and one spring constant for the other end. The spring constants for the ends are equal. To get the effective spring constant you use the following equation:





Finding the effective spring constant for springs in a series (which is what a butted spoke is) is like finding the overall resistance for resistors in parallel. I did the algebra on that equation to produce the above equation. If you don't believe the result, here's the form of that calculation. Feel free to do the algebra yourself:





So how does a butted spoke make for a more durable spoke? It moves the majority of the strain to the middle section, reducing the strain on the ends, specifically on the spoke head elbows where there are stress risers.

You'll note, again, that I never said that a wheel with 14g spokes wasn't stiffer for a particular lacing pattern. I've always said that double spokes can build wheels that are stiff enough for most people. You'll also note that I've always said that wheel stiffness is a function of spoke diameter and material, rim cross section, lacing pattern, and things like bracing angle and flange height. It should be noted that the factors that influence lateral stiffness of a wheel are also the factors that influence the radial stiffness of a wheel.

Now, alfeng, why don't demonstrate an understanding of Hooke's Law by seeing how what I wrote above is correct.

Why would I be showing my posts to my wife and daughter? Do you show your posts to your family? Is that something we're supposed to be doing?
I guess that because you feel that I cannot understand your bloviating rant ... I'll just respond with ...

alienator apparently doesn't know the difference between Hooke's Law and Captain Hook.

'Nuff said.
 
Feel free to indicate what is wrong with my previous post. Giving a scientific explanation is not bloating. Giving a scientific explanation in plain terms is not inflated or empty. If you don't understand the equations or what they mean in terms of stiffness or Hooke's Law, say so, but there's little point going on if you can't respond on point.
 
Originally Posted by alienator

Feel free to indicate what is wrong with my previous post. Giving a scientific explanation is not bloating. Giving a scientific explanation in plain terms is not inflated or empty. If you don't understand the equations or what they mean in terms of stiffness or Hooke's Law, say so, but there's little point going on if you can't respond on point.
KN U RD THS?
alienator apparently doesn't know the difference between Hooke's Law and Captain Hook.

Oh, you probably want a formula ...

FYI. Analyzing something in the Z-axis with a formula which only deals with the Y-axis & sometimes the X-axis is your first problem ...

Is THAT "on point" enough for YOU?!?

See if you can figure out the rest of YOUR error with some of your make-believe "critical thinking."
 
alfeng said:
FYI.  Analyzing something in the Z-axis with a formula which only deals with the Y-axis & sometimes the X-axis is your first problem ...   See if you can figure out the rest of YOUR error with some of your make-believe "critical thinking."  
Define your axes and your incomplete integral.
 
Originally Posted by alienator


<snip> excessive bloviation ...


Now, alfeng, why don't demonstrate an understanding of Hooke's Law by seeing how what I wrote above is correct.

Why would I be showing my posts to my wife and daughter? Do you show your posts to your family? Is that something we're supposed to be doing?
FWIW. To repeat (since you don't seem to understand ...) ... a bicycle wheel is a THREE DIMENSIONAL OBJECT.

I guess that I should have limited my statement to "Don't forget to show your posts to daughter" because I would think that you would want to illustrate, first hand, how YOU "are respectful of others" & how you engage others with "civility."

Regardless, I would think that YOU would want to show all of your posts to BOTH your wife & daughter + your explanation for your avatar to BOTH of them because you seem to be so proud of it.
 
Quote: Originally Posted by alienator


Define your axes and your incomplete integral.

LOL ...

I guess that YOU can't stay on YOUR point ...

No matter.

It just reaffirms that ...

alienator apparently doesn't know the difference between Hooke's Law and Captain Hook.


There is nothing for me to define ...

because ...

If you don't know that a bicycle wheel is three dimensional, then you really do have a problem.

Heck, if YOU don't know what "lateral" means in relationship to a bicycle wheel then why have you been bloviating for all these years about any aspect of a bicycle wheel's construction?!?

Interestingly, the Z-axis was too complex a concept for the hobbyist-shop-owner Chisolm, too ...

BTW. My bad ...

I forgot to mention that the formula is NADER'S LAW (but, YOU should have been able to figure that out) ...



It is intentionally incomplete because "Allen Nader" has never had a meaningful, complete thought.

you pretend to be a clever boy so you should have been able to read the 'rebus' ....

Well, I guess that because I started with "KN U RD THS?" & you apparently cannot that I have to "read" it to you ...

HINT (because you like hints to give hints, so you presumably like to get them too):

The particular "integral" is a part of a "rebus" -- it can be thought of as a universal statement (so, any "formula" can be used) ...

Here goes ...

'a' sub 'LNTR' equals the "SUM OF ALL THINGS IRRATIONAL"

Happy??

Or, did you need a further explanation?

BTW2. Thanks for letting me LOL (again!) at how you are either actually obtuse OR by feigning to be obtuse you let me "read" the formula to you & thereby reiterate & elaborate!!!
 
Of course a wheel is three dimensional. That doesn't change anything. Tension along a spoke acts in on only direction and is thus vector and since vectors in a 3-space have 3 components, the tension can be broken down into its 3 components. So that means if you map coordinate axes onto a wheel--say for example the z-axis onto the rotation axis of the hub, the x-axis onto the plane of the wheel parallel to the ground, and the y-axis perpendicular to the ground--you will find components of the tension along the x, y, and z-axis of the coordinate system. So if F is the tension in the spoke, the components of that tension will be Fx, Fy, and Fz. Guess what: given those components--you'll likely this since you've brought it up for the last few posts--and Hooke's Law--the each force component will be kx, ky, and kz. Note the k's? So, Hooke's Law isn't confined to one direction. Hooke's law is also valid in bulk materials where unlike a spoke, the stiffness can vary with direction. In those cases the stiffness of a bulk material is then defined with a stiffness tensor. Again, however, a spoke in a wheel is loaded in only one direction and as such is characterized by a single stiffness constant.
 
Originally Posted by alienator

Of course a wheel is three dimensional. That doesn't change anything. Tension along a spoke acts in on only direction and is thus vector and since vectors in a 3-space have 3 components, the tension can be broken down into its 3 components. So that means if you map coordinate axes onto a wheel--say for example the z-axis onto the rotation axis of the hub, the x-axis onto the plane of the wheel parallel to the ground, and the y-axis perpendicular to the ground--you will find components of the tension along the x, y, and z-axis of the coordinate system. So if F is the tension in the spoke, the components of that tension will be Fx, Fy, and Fz. Guess what: given those components--you'll likely this since you've brought it up for the last few posts--and Hooke's Law--the each force component will be kx, ky, and kz. Note the k's?

So, Hooke's Law isn't confined to one direction. Hooke's law is also valid in bulk materials where unlike a spoke, the stiffness can vary with direction. In those cases the stiffness of a bulk material is then defined with a stiffness tensor. Again, however, a spoke in a wheel is loaded in only one direction and as such is characterized by a single stiffness constant.
THERE YOU GO AGAIN ...

In your situational world, you are now pretending that you were always presenting Hooke's Law as more than a linear, Y-axis argument ...

If that were true, then you would not have needed to ask for me to define the axes ...

AND, for me to explain to you that a wheel is a three dimensional object.

If it were true that your little mind had been able to accommodate a three dimensional analysis then you would not have dismissed the "bracing angle" which Eichers had mentioned!!!

Your current bloviating just PROVES that ...

alienator apparently doesn't know the difference between Hooke's Law and Captain Hook.

because if you did then you would know that engineering is more than the shot-in-the-dark cutting-and-pasting of formulas in a Forum thread as you have been doing AND that engineering solutions require actually understanding the problem being addressed ...

Or, should we simply presume that your idea of your so-called engineering background which you claim to have is limited to having bought the engineering text necessary for the courses rather than understanding how to apply the knowledge contained in them?

BECAUSE, if you understood the problem, then you would know that it is a FOUR DIMENSIONAL problem which includes the additional forces described by the RIGHT HAND THUMB RULE.

I presume that you are familiar with it ...

OR, were you perving about 'A CLOCKWORK ORANGE' on the day it was explained in your Physics class?

That's right, you had better do an Internet search on it so you can come back and say "of course the right hand thumb rule is (also) a factor ..."

BUT, in what I deem to be a failed attempt-to-to-save-face, you thought that more bloviating would yield a satisfactory reply ...

Sorry, but no cigar ...

Nader's Law is THE formulation which does apply ...
because you have attempted to pawn off another incomplete thought with more of your irrational bloviation ...

HINT: There is at least one other factor which you have not managed to address in the course of your bloviation beyond the forces described by the Right Hand Thumb Rule.

BTW. YOU are once again stating a false premise that "a spoke in a wheel is loaded in only one direction and as such is characterized by a single stiffness constant."

Beginning with a false premise is (as I have tried to note before) like presuming that the flawed data which produced the Keeling Curve is a valid basis for measuring changes in CO2 ...

THAT was apparently too complex a concept for you to grasp in the past ...

OR, are false premises "okay" in your situational world?

I think I may have mentioned WHY Keeling's data is flawed ... but, if not, see if you can use some of your "critical thinking" to figure out why it is.
 
I see: since I didn't expressly remind you that there were components along all spatial dimensions, that means I was situational? Sorry, but that doesn't fly. You were asked to define the dimensions, i.e. orient and name your names in space with resect to a wheel, and that is a typical question when someone hasn't already done so. See, that's why we label graphs. There is no absolute orientation of spatial coordinates. x, y, z, where the bold indicates vectors (technically they're unit vectors, but I have no idea if you know what unit vectors are), and said vectors have no predefined orientation. Alas, you didn't explain to anyone anything. Just because it isn't stated that that, in this case, wheels are three dimensional, doesn't mean that isn't already understood. You'll note, for example, that laws of motion work in three dimensions but aren't necessarilly taught that way to people taking non-calculus based intro physics courses. Just because a teacher doesn't teach them vector forms of the equations doesn't mean that the teacher doesn't know that the equations have vector forms, i.e. three dimensional forms. 4D. Aha! What a critical thing you have noticed! Finally. I guess you're talking about 3 spatial dimensions and 1 time dimension. If that is the case, you should go back to one of my first posts in the thread where I discuss the time dependence and stiffness. If you think there are 4 spatial dimensions, well, you're wrong. You have the choice of three:
  • Cartesian (x,y, z)
  • Cylindrical (ρ, φ, z)
  • Spherical (ρ, θ, φ)
That's it. You could argue that string theory suggests that there are more spatial dimensions, but since string theory cannot be proven at this point and there is no evidence of extra spatial dimensions (note however that the possible detection of other spatial dimensions is one capability of the Large Hadron Collider. Alas, they've detected no extra dimensions yet.). It does seem as if you are confused about the right hand rule because it is a three dimensional construct. For example: x x y = z, where the bold letters are vectors and the 'x' indicates the cross product (the spatial function that is described by the right hand rule). The cross product of any two vectors in 3 dimensional space is a vector perpendicular to those two vectors, and that vector is in that same 3 dimensional space. Torque, r x F = T, where T, torque, is perpendicular to the plane defined by r, the radius at which the force, F is applied (FYI, two vectors define a plane). Also note again the vector notation. The right hand rule requires two vector arguments and produces a third vector....uhm, as shown, again, by the vector notation. You'll not I did not dismiss bracing angle. I've stated that as a factor in several other posts. And that spoke? It is loaded in only one direction. It may have vibrational modes and bending modes, but those are dynamic and thus time dependent. Those modes do not influence stiffness, a static measurement. You really are stuck on the "cut and paste" thing, but let's face it: you're not going to believe anything that I say, and that's why go on ridiculous rants and make all manner of mistakes (as indicated above). There is no need for me to derive equations for you, equations that have long been accepted to be true. No one derives accepted equations except people curious and looking for a challenge, or those doing derivations for physics homework. As for your climate change red herrings, again, if you want to discuss climate change, start a thread about climate change. Mentioning it as you do only makes you look desperate to cover up a lack of knowledge about physics. You're inability to demonstrate a working knowledge of physics only makes your climate change red herring more obvious. Now, I'm done. You are committed to preventing any reasonable discussion, and you have yet to provide a physically credible argument of any sort.
 
"Now, I'm done."

We can only hope...

Say, can you post us up some pics of your flimsy, flexible wheel that ate your Campy Record derailleur? You know...the wheel genuine profeshunals with IQ's above room temperature couldn't tell were...uh...flexible, in double-blind tests?
 
Originally Posted by alienator

I see: since I didn't expressly remind you that there were components along all spatial dimensions, that means I was situational? Sorry, but that doesn't fly. You were asked to define the dimensions, i.e. orient and name your names in space with resect to a wheel, and that is a typical question when someone hasn't already done so. See, that's why we label graphs. There is no absolute orientation of spatial coordinates. x, y, z, where the bold indicates vectors (technically they're unit vectors, but I have no idea if you know what unit vectors are), and said vectors have no predefined orientation. Alas, you didn't explain to anyone anything. Just because it isn't stated that that, in this case, wheels are three dimensional, doesn't mean that isn't already understood. You'll note, for example, that laws of motion work in three dimensions but aren't necessarilly taught that way to people taking non-calculus based intro physics courses. Just because a teacher doesn't teach them vector forms of the equations doesn't mean that the teacher doesn't know that the equations have vector forms, i.e. three dimensional forms.

4D. Aha! What a critical thing you have noticed! Finally. I guess you're talking about 3 spatial dimensions and 1 time dimension. If that is the case, you should go back to one of my first posts in the thread where I discuss the time dependence and stiffness. If you think there are 4 spatial dimensions, well, you're wrong. You have the choice of three:
  • Cartesian (x,y, z)
  • Cylindrical (ρ, φ, z)
  • Spherical (ρ, θ, φ)

That's it. You could argue that string theory suggests that there are more spatial dimensions, but since string theory cannot be proven at this point and there is no evidence of extra spatial dimensions (note however that the possible detection of other spatial dimensions is one capability of the Large Hadron Collider. Alas, they've detected no extra dimensions yet.).

It does seem as if you are confused about the right hand rule because it is a three dimensional construct. For example: x x y = z, where the bold letters are vectors and the 'x' indicates the cross product (the spatial function that is described by the right hand rule). The cross product of any two vectors in 3 dimensional space is a vector perpendicular to those two vectors, and that vector is in that same 3 dimensional space. Torque, r x F = T, where T, torque, is perpendicular to the plane defined by r, the radius at which the force, F is applied (FYI, two vectors define a plane). Also note again the vector notation. The right hand rule requires two vector arguments and produces a third vector....uhm, as shown, again, by the vector notation.

You'll not I did not dismiss bracing angle. I've stated that as a factor in several other posts.

And that spoke? It is loaded in only one direction. It may have vibrational modes and bending modes, but those are dynamic and thus time dependent. Those modes do not influence stiffness, a static measurement.

You really are stuck on the "cut and paste" thing, but let's face it: you're not going to believe anything that I say, and that's why go on ridiculous rants and make all manner of mistakes (as indicated above). There is no need for me to derive equations for you, equations that have long been accepted to be true. No one derives accepted equations except people curious and looking for a challenge, or those doing derivations for physics homework. As for your climate change red herrings, again, if you want to discuss climate change, start a thread about climate change. Mentioning it as you do only makes you look desperate to cover up a lack of knowledge about physics. You're inability to demonstrate a working knowledge of physics only makes your climate change red herring more obvious.

Now, I'm done. You are committed to preventing any reasonable discussion, and you have yet to provide a physically credible argument of any sort.
WOW!!!

That's a pretty fascinating, hair-on-fire rant which you obviously feel qualifies as a rational reply ...

Of course, what may be most interesting is how it is "YOU (who) are committed to preventing any reasonable discussion, and (it is) you (who) have yet to provide a physically credible argument of any sort."

Is the term "physically credible argument" another instance where you can modify the language to suit your situational world?

What is THAT supposed to mean?!?

I can guess, but ...

But, I suppose that in your situational world, denial is how you (were told to) cope by accusing others of what.you are doing when you are confronted with anything which challenges your dystopian world view!

FWIW. My non-clinical diagnosis is that you are a (¿borderline?) psychopath who displays bipolar symptoms & moments of schizophrenia. OR, if you prefer, you are an individual who displays bipolar symptoms & moments of schizophrenia who may be a (¿borderline?) psychopath. Without looking it up, based on the known-to-you-alone medication which you mentioned before, I presume it is for one of those symptoms.

Oh, wait!

Did you want to nit pick & say that you were clinically diagnosed as a sociopath & my nomenclature is wrong and so 'I' therefore don't know what I am talking about?!?
To sum up your situation in the vernacular (if you will excuse my Welsh), you really are a Dwsh who needs (more) help (than you are probably already getting).

Essentially, your bloviating once again proves that this formula holds true ...



FYI. You cut-and-paste formulas WITHOUT any supporting data or calculations ... so, while you are certainly argumentative, it is YOU who has not "provided a physically credible argument."

To that end, you have repeatedly cut-and-paste Hooke's Law AND you misapply it into posts as a solution for which it is not applicable. Again, it is YOU who are not providing "a physically credible argument."

In your situational world, you are now insisting that you knew that the matter of a bicycle wheel's lateral deflection was nonetheless a multi-dimenional problem despite previously offering only a linear solution in the wrong Axis!

Denial & pretending otherwise is just laughable.

Again, this maxim holds true ...

alienator apparently doesn't know the difference between Hooke's Law and Captain Hook.

Somehow, your inappropriate formula choice(s) without substantiation are supposed to be valid whereas you dismiss anything anyone else says if they don't have numbers which you can understand ... and, there's the rub.

For the benefit of others, let me note that in the past you displayed an inability to comprehend the numerical information contained in either of the following matrices ...



In the past, these two matrices were deemed to be inadequate by YOU.

Are you going to say/(pretend), now, that you understand them?

I would guess that you will deny that you ever had a problem understanding them despite facts to the contrary.

Maybe your daughter who you say is going to a STEM school can explain them to you ... unless STEM is actually an acronym for School That Endures Misogynists.

BTW. My asking YOU about the KEELING CURVE is not a "red herring" and it is fundamental because it demonstrates that you apparently do not believe in the "Scientific Method" which you espouse to being of paramount importance when determining this-or-that.

If you truly believe in the "Scientific Method" then unless you are situationally applying it as your dystopian world view dictates is appropriate then you would not accept what your ilk oxymoronically declares is "settled science"; but, your denial of a possible problem with one of the major "selling points" for so-called Man-Made-Global-Warming shows that your posturing about the "Scientific Method" re-enforces that you are a pretender.

Your mention of "String Theory" is a canard -- essentially, it is yet another example of your use of chaff.

Not that it matters, but I sincerely doubt that you know more about vectors than I know.

In fact, let me add that no matter how-much-or-how-little Physics and/or Engineering I may know, it is pretty evident that YOU KNOW LESS ... and, if you received a degree in either discipline from an accredited University then you should probably return it.

Because, if you had ever really wanted to provide a more meaningful answer to the topic then you might have mentioned that adding camber to the wheels will mitigate the effects of the lateral forces on the wheel to some extent. Some compromises, to be sure BUT a more meaningful observation which someone who claims to have a background in Physics & Engineering could have made instead of the specious suggestion that the solution to a better understanding of the problem is an application of Hooke's Law. However, THAT would mean that you actually understood some of the Physics & Engineering which you claim your background has.

BTW2. Does anyone who is rational really not know that a bicycle wheel's axle is aligned in the Z-Axis relative to the rest of the bicycle's wheel?

If you really need more elaboration, then just ask.
 
Alienator, I (and hopefully others) appreciate your attempts to provides some basic physics relevant to the discussion. If anyone wants to calculate the amount a spoke stretches under preload or impact loads, Hook's Law is certainly the way to do it. All I needed to know, in addition to your formula for the k (spring constant), is that the delta L (stretch) = force divided by k. EG, if we have a spring with a k of 100 lbs/in, applying 200 lbs of force will stretch it 2 inches.

I did an example calculation for a 14 ga SS spoke, 288 mm long, using a value of 25,000,000 psi for Young's Modulus (E) from a table. Result was that for a preload (build tension) of 90 kgf (~ 200 lbs), the spoke stretches .018 inches. With some further assumptions or data about the strength of the rim, one could estimate the load and stretch on the spokes as the wheel turns as well as the load required to make the bottom spokes go slack with each revolution.

One interesting side note, I calculated the yield (failure) point of the 14 ga spoke. Grabbing a value for ultimate yield strength of 80,000 psi gives 400 lbs as the limit load, meaning that the normal preload recommendation places the spoke roughly in the middle of the working portion of the stress/strain curve.
 
"Grabbing a value for ultimate yield strength of 80,000 psi gives 400 lbs as the limit load, meaning that the normal preload recommendation places the spoke roughly in the middle of the working portion of the stress/strain curve."

For a straight spoke with no J-bend head configuration and no threaded section?
 
Originally Posted by CAMPYBOB
"Grabbing a value for ultimate yield strength of 80,000 psi gives 400 lbs as the limit load, meaning that the normal preload recommendation places the spoke roughly in the middle of the working portion of the stress/strain curve."

For a straight spoke with no J-bend head configuration and no threaded section?
Yeah, I didn't worry about those "minor details" in that simple illustration. In an actual pull test with a J-bend on one end and a threaded nipple on the other, have no idea where the spoke would fail. My guess is that in a perfect set up, with a high-quality spoke, a hub that closely fits and supports the J-bend and a nipple with good close thread fit and plenty of engagement, both ends would be strong enough to hold up to the full yield strength of the wire. But hey, in the real world of "could/would/should", lots of stuff happens....what do you think?
 
dhk2 said:
I did an example calculation for a 14 ga SS spoke, 288 mm long, using a value of 25,000,000 psi for Young's Modulus (E) from a table.  Result was that for a preload (build tension) of 90 kgf (~ 200 lbs), the spoke stretches .018 inches.  With some further assumptions or data about the strength of the rim, one could estimate the load and stretch on the spokes as the wheel turns as well as the load required to make the bottom spokes go slack with each revolution.    One interesting side note, I calculated the yield (failure) point of the 14 ga spoke.  Grabbing a value for ultimate yield strength of 80,000 psi gives 400 lbs as the limit load, meaning that the normal preload recommendation places the spoke roughly in the middle of the working portion of the stress/strain curve.     
Given how the relative difficulty of calculating the minimum tension required to have a given spoke maintain tension no matter what (which would require not only calculating deformation of a given rim given tire choice, tire pressure, and total load on that rim but also loading as a result of bumps, potholes, and the like), it's much easier to aim for the middle of that middle of the stress/strain curve. It's also a lot cheaper than requiring a wheel builder to buy software to generate solid models and perform FEA analysis.
 
Originally Posted by alfeng ...
WOW!!!
...

Essentially, your bloviating once again proves that this formula holds true ...
...

FYI. You cut-and-paste formulas WITHOUT any supporting data or calculations ... so, while you are certainly argumentative, it is YOU who has not "provided a physically credible argument."

To that end, you have repeatedly cut-and-paste Hooke's Law AND you misapply it into posts as a solution for which it is not applicable. Again, it is YOU who are not providing "a physically credible argument."

...

BTW. My asking YOU about the KEELING CURVE is not a "red herring" and it is fundamental because it demonstrates that you apparently do not believe in the "Scientific Method" which you espouse to being of paramount importance when determining this-or-that.
If you truly believe in the "Scientific Method" then unless you are situationally applying it as your dystopian world view dictates is appropriate then you would not accept what your ilk oxymoronically declares is "settled science"; but, your denial of a possible problem with one of the major "selling points" for so-called Man-Made-Global-Warming shows that your posturing about the "Scientific Method" re-enforces that you are a pretender.

Your mention of "String Theory" is a canard -- essentially, it is yet another example of your use of chaff.

Not that it matters, but I sincerely doubt that you know more about vectors than I know.

In fact, let me add that no matter how-much-or-how-little Physics and/or Engineering I may know, it is pretty evident that YOU KNOW LESS ... and, if you received a degree in either discipline from an accredited University then you should probably return it.

Because, if you had ever really wanted to provide a more meaningful answer to the topic then you might have mentioned that adding camber to the wheels will mitigate the effects of the lateral forces on the wheel to some extent. Some compromises, to be sure BUT a more meaningful observation which someone who claims to have a background in Physics & Engineering could have made instead of the specious suggestion that the solution to a better understanding of the problem is an application of Hooke's Law. However, THAT would mean that you actually understood some of the Physics & Engineering which you claim your background has.

BTW2. Does anyone who is rational really not know that a bicycle wheel's axle is aligned in the Z-Axis relative to the rest of the bicycle's wheel?

If you really need more elaboration, then just ask.
Hi alfeng, it would appear that you are correct again, and again
smile.png


It would also appear that it is all to difficult and requires computer software, someone to program the computer software, and indeed someone else other than alienator to work it out, and be criticised by alienator while they do it...

thanks KL
smile.png
 
"Yeah, I didn't worry about those "minor details" in that simple illustration. In an actual pull test with a J-bend on one end and a threaded nipple on the other, have no idea where the spoke would fail. My guess is that in a perfect set up, with a high-quality spoke, a hub that closely fits and supports the J-bend and a nipple with good close thread fit and plenty of engagement, both ends would be strong enough to hold up to the full yield strength of the wire. But hey, in the real world of "could/would/should", lots of stuff happens....what do you think?"

In 42 years of riding, racing and in building and repairing way more wheels than I could count...

It's been my experience that (guessing here, of course) 99% of spoke failures I've seen that was caused by stress cracks, fatigue, hydrogen embritlement (the old 'Three Stars' chrome plated spokes), over-stressing, etc. were failed at the bend. I've only seen a few fail at the threads (mostly chrome, but some DT stainless and others).

Even with the spaghetti-thin DB spokes, I really can't remember any that failed at the butt. I am sure spokes have failed mid-length, but I don't remember any.

As far as hub hole fit to spoke goes, there is clearance there and coupled with the stretched and stressed grain in the bend the area will yield and add length under tension and fail there most often due to fatigue. The section through the threads (rolled thread form not withstanding) does far better in the durability department than I would have guessed. Still, hooking a spoke up and tensioning to yield I would suspect it would be the separation point more so than the bend.

I like my modern, lightweight, low spoke count wheels. They are fast! But lordy are the wimpy in the stiffness department. And with rims losing eyelets, losing spoke count, being made of dried oatmeal...spoke tension seems to be lower on a lot of the new wheelsets.
 
Eichers said:
Hi alfeng, it would appear that you are correct again, and again :smile: It would also appear that it is all to difficult and requires computer software, someone to program the computer software, and indeed someone else other than alienator to work it out, and be criticised by alienator while they do it...
Yep, klabs, most bicycle wheel builders would not want to accurately calculate the loads that a spoke would see given a given rider and bike weight, road conditions, and possible impacts, but obviously it must be easy for you given your words. So tell me, what is the loading a spoke on the rear wheel on your bike sees? What is the loading your front wheel sees? Note please include the loading from bumps, potholes, road debris, curbs, bunny hops, and anything else that changes said loading.........which will include air pressure. I guess that means you'll need to do all those calculations at specific inflation pressures. Oh, you'll also need to model the tire and inner tube to take their stiffness into account. Gosh, now that mention it, it should be dead easy to do all those calculations. Heck, I'm sure'll have them done in no time.
 
Hi alfeng, yes, you are definitely correct ... first alientor criticises then asks someone else to do you work/calculations for him, and if they don't throws formulas, or taunts, there way ... interesting!
Yes alfeng, essentially bloviating once again proves that the formula you have indicated holds true ...


thanks KL
smile.png
 
Is it safe to assume, klabs, that you aren't going to justify your claims about the factors that affect wheel stiffness?