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Spoke Fatigue Study

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Published
18 June 2005
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27 June 2005
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  1. Michael Wileman said:
    Quoted message said:

    I don't understand what is so complicated with this stress
    picture. Residual stress is a fact when reaching or exceeding yield
    in bending, some of it from manufacture, some from wheel building.
    This is not new, only the challenge of that concept is new.

    Quoted message said:

    I don't understand why you are using the word residual. There are
    elevated stresses at the stress concentrations as a result of
    building the wheel. Stress "relieving" by applying an additional
    load to cause local yielding reduces the stress concentration by
    changing the shape of the contact. That much is classical
    mechanical design.

    Quoted message said:

    Why are these "residual" stresses before the stress relief instead
    of simply stresses resulting from the applied load of lacing the
    spoke?

    Residual in contrast to tension related stress. This stress is
    present even when the spoke is not tensioned in a wheel and is
    therefore, called residual.

    Quoted message said:

    Residual usually refers to stresses that remain after you remove the
    load because the part of the component that was deformed elastically
    cannot return to its undeformed shape because of resistance from the
    part of the component that was deformed plastically. By that
    definition, you have more residual stress after you plastically
    deform the spoke by stress relieving, even though the total stress
    has been reduced.

    That is not the case. After the spoke has locally yielded where
    stress concentrations remain, the rest stress is lower. That is the
    purpose of stress relieving. It yields local high stresses.

    Quoted message said:

    This is not a criticism. I am just trying to figure out why you
    claim that "residual" stresses cause the fatigue failure rather than
    the simple tractions of the spoke/rim contact. Can you elucidate?
    The material doesn't care where the stresses come from; It fails
    based upon the complete tensor, not just the residual stresses.

    Because the stress of tension in a wheel is the only one that has
    received much attention, the combined stress of spoke tension and
    residual stresses from manufacture and wheel building (that are
    constants overlayed on tensile stress) and are the cause of spoke
    failures, this is an important aspect. Computed tensile stress
    derived from known spoke tension is about 1/3 yield stress, not enough
    to cause a failure. Therefore, the "hidden" residual stress from
    forming comes into play. It is this stress that can be reduced while
    tensile stress cannot, since it is the essence of wheel strength (load
    carrying ability).

    Quoted message said:

    I'm convinced that stress relieving prevents fatigue by reducing the
    alternating stress at the stress concentrations (where the spoke
    touches the rim), just not that it has anything to do with residual
    stresses.

    It has nothing to do with spoke contact with hub or spoke nipple, but
    rather residual stresses from manufacture and wheel building as you
    can see from the yielded spoke elbow in the item by Benjamin lewis:

    http://www.cs.sfu.ca/~bclewis/personal/bike/spoke/spoke_after.jpeg

    Quoted message said:

    Are you saying that the spokes break in the straight section
    as a result of residual stresses from the wire drawing?

    No. I said that they break in the straight sections in tensile tests
    where they are forcefully ruptured. Please review what has been
    written in this thread. It is too much to repeat here.

    Quoted message said:

    Having never broken a spoke, I have to admit I don't know where the
    fatigue failure usually occurs.

    That has also been beaten to death here.

    Ride bike and you'll see.

    [email hidden]

  2. Benjamin Lewis said:
    jim beam said:
    Benjamin Lewis said:

    What difference does it make if the spokes come from the factory with
    residual stress or not? As soon as you tension the spoke in the wheel,
    the spoke elbow changes shape.

    look at the elbow on a spoke where you have not already bent it, and
    look at it again after you've built a wheel with it and the huib hole is
    properly indented. they're pretty much identical. the only time
    they're different is if the spoke line has been "corrected" in which
    case, the angle is too acute.

    Oh? Here are two brand new butted dt spokes, after lacing to a front wheel
    (Mavic MA-3 rim, Shimano 105 hub), tensioning, and stress-relieving. Care
    was taken not to bend the elbows during installation or removal, and no
    spoke-line correction was done.

    http://www.cs.sfu.ca/~bclewis/personal/bike/spoke/spoke_after.jpeg

    The spoke on the left was laced inbound, the right spoke was laced
    outbound.

    Here is a photoshopped composite:

    http://www.cs.sfu.ca/~bclewis/personal/bike/spoke/spoke_difference.jpeg

    Red is inbound, green is outbound.

    Unfortunately my "before" photos didn't turn out, but it's clear that these
    spokes are not the same as each other afterwards.


    i've emailed a pic to carl for hosting. it shows a selection of 6
    spokes from an old wheel i disassembled a while back - shimano low
    flange hub, trek matrix rim. of all 32 spokes, the 3 at the top are the
    only ones to show any change in spoke angle. the other 29, of which the
    bottom 3 are a selection, all show the factory ~95 degrees.

  3. Quoted message said:
    Michael Wileman said:
    Quoted message said:

    I don't understand what is so complicated with this stress
    picture. Residual stress is a fact when reaching or exceeding yield
    in bending, some of it from manufacture, some from wheel building.
    This is not new, only the challenge of that concept is new.

    Quoted message said:

    I don't understand why you are using the word residual. There are
    elevated stresses at the stress concentrations as a result of
    building the wheel. Stress "relieving" by applying an additional
    load to cause local yielding reduces the stress concentration by
    changing the shape of the contact. That much is classical
    mechanical design.

    Quoted message said:

    Why are these "residual" stresses before the stress relief instead
    of simply stresses resulting from the applied load of lacing the
    spoke?

    Residual in contrast to tension related stress. This stress is
    present even when the spoke is not tensioned in a wheel and is
    therefore, called residual.

    says the guy that thinks springback is evidence of residual stress.

    Quoted message said:
    Quoted message said:

    Residual usually refers to stresses that remain after you remove the
    load because the part of the component that was deformed elastically
    cannot return to its undeformed shape because of resistance from the
    part of the component that was deformed plastically. By that
    definition, you have more residual stress after you plastically
    deform the spoke by stress relieving, even though the total stress
    has been reduced.

    That is not the case. After the spoke has locally yielded where
    stress concentrations remain, the rest stress is lower. That is the
    purpose of stress relieving. It yields local high stresses.

    but jobst, metallurgical "stress relief" requires it be applied in a
    very short time, i.e. minutes, after the original cold work in order for
    it to be properly effective. and it has to be a minimal amount of work
    - only 1-2% strain. additional cold work exceeding this degree of
    strain or being applied too long after original working just increases
    the degree of cold work in the material and can increase the degree of
    residual stress.

    Quoted message said:
    Quoted message said:

    This is not a criticism. I am just trying to figure out why you
    claim that "residual" stresses cause the fatigue failure rather than
    the simple tractions of the spoke/rim contact. Can you elucidate?
    The material doesn't care where the stresses come from; It fails
    based upon the complete tensor, not just the residual stresses.

    Because the stress of tension in a wheel is the only one that has
    received much attention, the combined stress of spoke tension and
    residual stresses from manufacture and wheel building (that are
    constants overlayed on tensile stress) and are the cause of spoke
    failures, this is an important aspect.

    ok, which side of the spoke elbow is tensile & which compressive?
    [let's not get confused about the location of the neutral plane shall
    we?] and what is the resolved bending stress on the elbow both inside
    and outside?

    Quoted message said:

    Computed tensile stress
    derived from known spoke tension is about 1/3 yield stress, not enough
    to cause a failure.

    you're ignoring local loading at the elbow...

    Quoted message said:

    Therefore, the "hidden" residual stress from
    forming comes into play. It is this stress that can be reduced while
    tensile stress cannot, since it is the essence of wheel strength (load
    carrying ability).

    that's an obfuscation.

    Quoted message said:
    Quoted message said:

    I'm convinced that stress relieving prevents fatigue by reducing the
    alternating stress at the stress concentrations (where the spoke
    touches the rim), just not that it has anything to do with residual
    stresses.

    It has nothing to do with spoke contact with hub or spoke nipple, but
    rather residual stresses from manufacture and wheel building as you
    can see from the yielded spoke elbow in the item by Benjamin lewis:

    http://www.cs.sfu.ca/~bclewis/personal/bike/spoke/spoke_after.jpeg

    but the spokes' contact with either the hub or the nipple are the only
    way in which any load can be applied!

    Quoted message said:
    Quoted message said:

    Are you saying that the spokes break in the straight section
    as a result of residual stresses from the wire drawing?

    No. I said that they break in the straight sections in tensile tests
    where they are forcefully ruptured.

    why not? if as you say, spokes leave the factory with a high degree of
    residual stress, particularly the butted section of a spoke, the
    straight section of the spoke would be highly susceptible to any
    additional load cycling. particularly where the spokes cross and there
    is an additional bending component at that juncture.

    btw, to show how much you know about residual stress, and whether it's
    tensile or compressive in critical areas, why don't you tell the class
    the nature of residual stress in straight drawn wire, i.e., you have
    circumferential and axial residual stress, a skin & a core. which is
    compressive, which tensile?

    Quoted message said:

    Please review what has been
    written in this thread. It is too much to repeat here.

    Quoted message said:

    Having never broken a spoke, I have to admit I don't know where the
    fatigue failure usually occurs.

    That has also been beaten to death here.

    Ride bike and you'll see.

    ah, the anecdotal fallback. sure.

    Quoted message said:


    [email hidden]

  4. Benjamin Lewis said:

    I don't know, but I imagine whatever forms the heads comes in two pieces
    like a mold, and these ridges correspond to the gaps between the two
    pieces. These ridges are not in consistent places on my spokes (but are
    always 180 degrees apart from each other), suggesting that the elbow is
    formed after the head had been made.

    As someone who has made tooling for 4-slide and multislide machines,
    it's *sortof* a mold. Just so you guys get an idea, a four-slide
    machine is a cam-operated "press" that deals with thin flatstock or
    wirestock, in this case, 304 or any other austenitic stainless steel
    wire to make spokes. A four-slide is simply named that way because
    there are 4 independent slides.

    Here is a picture:

    http://www.rdtoolengineering.com/largeviewlwf6a.html

    In a 4-slide or multislide machine, you clamp the end of the wire around
    its diameter and a "cold heading tool" - a hammer-like swage that has
    the profile of the head (in a negative shape) that you want to form.
    It's almost a coining operation, where the metal flows to fill the shape
    of the cold-heading tool.

    The two lines, on each side of the head behind the head correspond to
    the seam between each side of the clamp where the metal has flowed into
    the rounded edges of the clamp. A clamp that has dead-sharp edges will
    show little seam. A clamp that has seen better days will show worn
    edges behind the head which will enhance the "molded" effect. The more
    wear, the bigger the seam.

    A straight-gauge spoke is pretty damn simple. All it is, is a
    cold-heading operation, a bending operation, and a cutoff, to be
    threaded in another machine later, or transferred in-line to a threading
    station, where the threads are rolled (formed) on the opposite end of
    the spoke.

    Each operation can be done in separate machines (little 1-ton benchtop
    presses) and your observation that the bend is independent of the
    orientation the clamp marks means that this might really be the case.
    --
    BMO

  5. Boyle M. Owl said:
    Benjamin Lewis said:

    I don't know, but I imagine whatever forms the heads comes in two pieces
    like a mold, and these ridges correspond to the gaps between the two
    pieces. These ridges are not in consistent places on my spokes (but are
    always 180 degrees apart from each other), suggesting that the elbow is
    formed after the head had been made.

    As someone who has made tooling for 4-slide and multislide machines,
    it's *sortof* a mold. Just so you guys get an idea, a four-slide
    machine is a cam-operated "press" that deals with thin flatstock or
    wirestock, in this case, 304 or any other austenitic stainless steel
    wire to make spokes. A four-slide is simply named that way because
    there are 4 independent slides.

    Here is a picture:

    http://www.rdtoolengineering.com/largeviewlwf6a.html

    In a 4-slide or multislide machine, you clamp the end of the wire around
    its diameter and a "cold heading tool" - a hammer-like swage that has
    the profile of the head (in a negative shape) that you want to form.
    It's almost a coining operation, where the metal flows to fill the shape
    of the cold-heading tool.

    The two lines, on each side of the head behind the head correspond to
    the seam between each side of the clamp where the metal has flowed into
    the rounded edges of the clamp. A clamp that has dead-sharp edges will
    show little seam. A clamp that has seen better days will show worn
    edges behind the head which will enhance the "molded" effect. The more
    wear, the bigger the seam.

    A straight-gauge spoke is pretty damn simple. All it is, is a
    cold-heading operation, a bending operation, and a cutoff, to be
    threaded in another machine later, or transferred in-line to a threading
    station, where the threads are rolled (formed) on the opposite end of
    the spoke.

    Each operation can be done in separate machines (little 1-ton benchtop
    presses) and your observation that the bend is independent of the
    orientation the clamp marks means that this might really be the case.

    Dear Boyle and Benjamin,

    What you two are saying about the ridges makes sense--whomp,
    the head is formed, then the straight piece is taken to the
    bending machine without any fuss about the alignment of the
    two ridges.

    I just got a batch in which the ridges were always a little
    off 90 degrees to the shaft and wondered if there was some
    subtle engineering trick involved.

    Any notion whether all spokes are bent against some sort of
    mandrel that leaves a flattened stripe along the inside of
    the spoke elbow?

    Thanks,

    Carl Fogel

  6. Quoted message said:

    Dear Boyle and Benjamin,

    What you two are saying about the ridges makes sense--whomp,
    the head is formed, then the straight piece is taken to the
    bending machine without any fuss about the alignment of the
    two ridges.

    I just got a batch in which the ridges were always a little
    off 90 degrees to the shaft and wondered if there was some
    subtle engineering trick involved.

    Any notion whether all spokes are bent against some sort of
    mandrel that leaves a flattened stripe along the inside of
    the spoke elbow?

    That depends on your definition of mandrel, and the use of that word
    means that you're probably envisioning bending the spoke 'round some
    sort of pin.

    Nah. Not rigid enough if it's automated. Try a die block, with a
    radius ground in the corner, and a punch that knocks the head over,
    spaced 1 wire's width plus tolerance away from the block at full close.
    I have never seen any overbend in a spoke, so I guess it's just an
    air-bend. There are ways to overbend, to compensate for springback, but
    a spoke is not a super-precision item.

    I would grind a groove in the punch and radius it on the leading edge to
    be more gentle and keep the elbow from wandering.

    This can be done with a DeStaCo hand bender, if you can find one, which
    actually *would* bend the radius around a mandrel. They're not made
    anymore (automation, you know), but you never know what you can find in
    a yard sale.

    Here's approximately what it would look like:

    http://www.wintonmachine.com/bmate.htm

    It's for bending small diameter tubing, but that's about the same as
    bending 15 ga. 303 stainless wire. A DeStaCo bender is very similar in
    form and function.

    There was a guy having a yard sale a few houses down from me. I noticed
    he had a couple of antique kick presses in his garage...They weren't for
    sale, dammit. He actually used them for hobby stuff and small-run
    boutique items. If I had one, I would whip up some tooling to make my
    own spokes.

    --
    BMO

  7. jim beam said:
    Benjamin Lewis said:
    jim beam said:

    Benjamin Lewis wrote:

    > What difference does it make if the spokes come from the factory with
    > residual stress or not? As soon as you tension the spoke in the wheel,
    > the spoke elbow changes shape.
    >

    look at the elbow on a spoke where you have not already bent it, and
    look at it again after you've built a wheel with it and the huib hole
    is properly indented. they're pretty much identical. the only time
    they're different is if the spoke line has been "corrected" in which
    case, the angle is too acute.

    Oh? Here are two brand new butted dt spokes, after lacing to a front
    wheel
    (Mavic MA-3 rim, Shimano 105 hub), tensioning, and stress-relieving.
    Care
    was taken not to bend the elbows during installation or removal, and no
    spoke-line correction was done.

    http://www.cs.sfu.ca/~bclewis/personal/bike/spoke/spoke_after.jpeg

    The spoke on the left was laced inbound, the right spoke was laced
    outbound.

    Here is a photoshopped composite:

    http://www.cs.sfu.ca/~bclewis/personal/bike/spoke/spoke_difference.jpeg

    Red is inbound, green is outbound.

    Unfortunately my "before" photos didn't turn out, but it's clear that
    these
    spokes are not the same as each other afterwards.


    i've emailed a pic to carl for hosting. it shows a selection of 6
    spokes from an old wheel i disassembled a while back - shimano low
    flange hub, trek matrix rim. of all 32 spokes, the 3 at the top are the
    only ones to show any change in spoke angle. the other 29, of which the
    bottom 3 are a selection, all show the factory ~95 degrees.


    http://home.comcast.net/~carlfogel/download/Img_0267.jpg

  8. jim beam said:
    jim beam said:
    Benjamin Lewis said:

    jim beam wrote:
    > Benjamin Lewis wrote:
    >
    >> What difference does it make if the spokes come from the factory with
    >> residual stress or not? As soon as you tension the spoke in the
    >> wheel, the spoke elbow changes shape.
    >
    > look at the elbow on a spoke where you have not already bent it, and
    > look at it again after you've built a wheel with it and the huib hole
    > is properly indented. they're pretty much identical. the only time
    > they're different is if the spoke line has been "corrected" in which
    > case, the angle is too acute.

    Oh? Here are two brand new butted dt spokes, after lacing to a front
    wheel (Mavic MA-3 rim, Shimano 105 hub), tensioning, and
    stress-relieving. Care was taken not to bend the elbows during
    installation or removal, and no spoke-line correction was done.

    http://www.cs.sfu.ca/~bclewis/personal/bike/spoke/spoke_after.jpeg

    The spoke on the left was laced inbound, the right spoke was laced
    outbound.

    Here is a photoshopped composite:

    http://www.cs.sfu.ca/~bclewis/personal/bike/spoke/spoke_difference.jpeg

    Red is inbound, green is outbound.

    Unfortunately my "before" photos didn't turn out, but it's clear that
    these spokes are not the same as each other afterwards.


    i've emailed a pic to carl for hosting. it shows a selection of 6
    spokes from an old wheel i disassembled a while back - shimano low
    flange hub, trek matrix rim. of all 32 spokes, the 3 at the top are the
    only ones to show any change in spoke angle. the other 29, of which the
    bottom 3 are a selection, all show the factory ~95 degrees.


    http://home.comcast.net/~carlfogel/download/Img_0267.jpg

    I'm not sure what you think this photograph proves.

    --
    Benjamin Lewis

    Seeing is deceiving. It's eating that's believing.
    -- James Thurber

  9. On 21 Jun 2005 15:38:37 -0700, "41" <[email hidden]>

    Quoted message said:
    Jim Smith said:

    "41" <[email hidden]> writes:

    [snip]

    Quoted message said:
    Quoted message said:

    An additional
    complication is the major shift in spoke material during this same
    time period.

    No, not for the people who reported here. Usenet has not been active
    that long and JB's book was published in the early 1980s.

    [snip]

    Dear 41,

    Jobst himself commented on a major improvement in spoke
    "durability" within a decade of the 1st edition of his book:

    "It appears that the better spokes now available would have
    made the discovery of many of the concepts of this book more
    difficult for lack of failure data. I am grateful in
    retrospect for the poor durability of earlier spokes. They
    operated so near their limits that durability was
    significantly altered by the techniques that I have
    outlined."

    --Jobst Brandt, "The Bicycle Wheel," 3rd Edition, 1993,
    p.124

    Carl Fogel

  10. Quoted message said:

    Jobst himself commented on a major improv ement in spoke
    "durability" within a decade of the 1st edition of his book:

    He commented within a decade but as he noted, this was in retrospect.
    Improved spokes were current from the 1980s on, at least: since the
    introduction of DT stainless steel, and others. In any case, I
    referenced people who noted the improvement with the same components
    before and after.a

  11. Benjamin Lewis said:
    jim beam said:
    jim beam said:

    Benjamin Lewis wrote:

    >jim beam wrote:
    >
    >>Benjamin Lewis wrote:
    >>
    >>
    >>>What difference does it make if the spokes come from the factory with
    >>>residual stress or not? As soon as you tension the spoke in the
    >>>wheel, the spoke elbow changes shape.
    >>
    >>look at the elbow on a spoke where you have not already bent it, and
    >>look at it again after you've built a wheel with it and the huib hole
    >>is properly indented. they're pretty much identical. the only time
    >>they're different is if the spoke line has been "corrected" in which
    >>case, the angle is too acute.
    >
    >Oh? Here are two brand new butted dt spokes, after lacing to a front
    >wheel (Mavic MA-3 rim, Shimano 105 hub), tensioning, and
    >stress-relieving. Care was taken not to bend the elbows during
    >installation or removal, and no spoke-line correction was done.
    >
    >http://www.cs.sfu.ca/~bclewis/personal/bike/spoke/spoke_after.jpeg
    >
    >The spoke on the left was laced inbound, the right spoke was laced
    >outbound.
    >
    >Here is a photoshopped composite:
    >
    >http://www.cs.sfu.ca/~bclewis/personal/bike/spoke/spoke_difference.jpeg
    >
    >Red is inbound, green is outbound.
    >
    >Unfortunately my "before" photos didn't turn out, but it's clear that
    >these spokes are not the same as each other afterwards.
    >

    i've emailed a pic to carl for hosting. it shows a selection of 6
    spokes from an old wheel i disassembled a while back - shimano low
    flange hub, trek matrix rim. of all 32 spokes, the 3 at the top are the
    only ones to show any change in spoke angle. the other 29, of which the
    bottom 3 are a selection, all show the factory ~95 degrees.

    http://home.comcast.net/~carlfogel/download/Img_0267.jpg

    I'm not sure what you think this photograph proves.


    i guess it proves that i can't be bothered to photograph 32 individual
    spokes when 29 are the same.

  12. jim beam wrote:

    [not much]

    Hey, since you can't salvage anything now, here's a better idea: slink
    off for about six months, and then come back as "jack daniels". If
    you're lucky, no one will remember you!

  13. Quoted message said:
    Benjamin Lewis said:

    http://www.cs.sfu.ca/~bclewis/personal/bike/spoke/spoke_after.jpeg

    Quoted message said:

    Well! "In the presence of pictorial evidence of residual stress, I
    think I hear my mother calling to dinner. I gotta go..."

    I tried to post this question a few days ago, but it must have ended up
    in a bit bucket somewhere...

    I don't understand how these photos prove residual stress, and I don't
    see how they prove that the spoke squeezing process relieves that
    stress. Can you fill in the gaps that I'm missing? Thanks.

    --
    Dave
    dvt at psu dot edu

  14. Dave who? writes:

    http://www.cs.sfu.ca/~bclewis/personal/bike/spoke/spoke_after.jpeg

    Quoted message said:
    Quoted message said:

    Well! "In the presence of pictorial evidence of residual stress, I
    think I hear my mother calling to dinner. I gotta go..."

    Quoted message said:

    I tried to post this question a few days ago, but it must have ended
    up in a bit bucket somewhere...

    Quoted message said:

    I don't understand how these photos prove residual stress, and I
    don't see how they prove that the spoke squeezing process relieves
    that stress. Can you fill in the gaps that I'm missing? Thanks.

    What the picture shows is that the elbow shape has been permanently
    changed by what is called yielding. Yield stress is an unacceptably
    high for spokes that are to operate under millions of stress cycles
    and it will cause failure. That this stress exists and that it can be
    relaxed mechanically is the basis of this thread. The stress is a
    residual stress from building in contrast to tension stress that is
    readily determined by tensiometer measurement.

    If the spoke elbow plastically deforms, as the picture shows, then it
    reached yield stress. Subsequent tensioning of the spoke guarantees
    that the outside of the elbow, that changed from an obtuse angle to an
    acute angle, remains at yield when wheel building is complete. Only
    if the spoke is stress relieved by substantial over tensioning can
    yield stress in this area be lowered. By increasing tension, the area
    at yield will yield while the parts of that cross section that are not
    will respond elastically. When the overload is relaxed, the entire
    cross section reverts to a lower stress than it was under the
    overload; the yielded portion coming down as much as the remainder of
    the cross section.

    Of course we have been here many times in the last 20 years, mostly
    under attack by dissenters from GB. This is not new and is explained
    in detail in "the Bicycle Wheel".

    [email hidden]

  15. Quoted message said:

    If the spoke elbow plastically deforms, as the picture shows, then it
    reached yield stress. Subsequent tensioning of the spoke guarantees
    that the outside of the elbow, that changed from an obtuse angle to an
    acute angle, remains at yield when wheel building is complete. Only
    if the spoke is stress relieved by substantial over tensioning can
    yield stress in this area be lowered. By increasing tension, the area
    at yield will yield while the parts of that cross section that are not
    will respond elastically. When the overload is relaxed, the entire
    cross section reverts to a lower stress than it was under the
    overload; the yielded portion coming down as much as the remainder of
    the cross section.

    I'm with you up to here (I have a very basic understanding of yield,
    fatigue, Soderberg diagrams, etc). But here's what I don't understand.
    You've yielded the spoke by overloading (squeezing the spokes). Now that
    the spoke has yielded, it must have lower tension than before. If you
    want balanced tension in the wheel, you must bring the tension back up
    by turning the nipple. How do you know that this new tension doesn't
    bring that overstressed region back near the yield stress?

    --
    Dave
    dvt at psu dot edu

  16. Dave vt? said:
    Quoted message said:

    If the spoke elbow plastically deforms, as the picture shows, then
    it reached yield stress. Subsequent tensioning of the spoke
    guarantees that the outside of the elbow, that changed from an
    obtuse angle to an acute angle, remains at yield when wheel
    building is complete. Only if the spoke is stress relieved by
    substantial over tensioning can yield stress in this area be
    lowered. By increasing tension, the area at yield will yield while
    the parts of that cross section that are not will respond
    elastically. When the overload is relaxed, the entire cross
    section reverts to a lower stress than it was under the overload;
    the yielded portion coming down as much as the remainder of the
    cross section.

    Quoted message said:

    I'm with you up to here (I have a very basic understanding of yield,
    fatigue, Soderberg diagrams, etc). But here's what I don't
    understand. You've yielded the spoke by overloading (squeezing the
    spokes). Now that the spoke has yielded, it must have lower tension
    than before. If you want balanced tension in the wheel, you must
    bring the tension back up by turning the nipple. How do you know
    that this new tension doesn't bring that overstressed region back
    near the yield stress?

    Where is the residual stress going to come from now that it has been
    relieved? As I mentioned in an earlier response, the elongation
    necessary to relieve residual stress is in the micro-inches and has no
    significance to spoke tension. For practical purposes, tension is not
    affected whether a house fly sits on the spoke or not. That's about the
    size of it.

    [email hidden]

  17. In article said:

    Now that the spoke has yielded, it must have lower tension than
    before. If you want balanced tension in the wheel, you must bring the
    tension back up by turning the nipple. How do you know that this new
    tension doesn't bring that overstressed region back near the yield stress?

    The elbow will stretch ever so slightly with the yield, but
    relative to the elasticity present through 300mm worth of spoke, it's
    not enough to make a real effect on the net tension.

    It's an easy matter to imagine what's going on using a graph of
    the stress vs. position.

    ................... Tensile yield

    Tension^
    | /\ /
    | / \ /
    ---/----\----/-- neutral stress
    | / \ /
    Copression v / \/

    Outside Inside of Bend
    of bend

    As shown, this would be for a spoke out of a box (not to
    scale, peaks may not be in proportion, and other disclaimers apply )
    Applying tension to the spoke will shift the graph upwards, with the
    total area under the graph (with appropriate weighting for sectional
    geometry ) equalling the applied tension. Adding enough tension to
    stress relieve the spoke will mash the peaks of this into the tensile
    yield ceiling, and after the tension is relaxed, those peaks are
    flattened out.

    Yes, flattening those peaks does reduce the net tension IF
    the stretch of the elbow is returned to where the unyielded material
    is at the same strain as it was before stress relieving. The spoke
    elbow isn't in a constant strain environment though, the other 300mm of
    spoke having elasticity to make it look more like a constant
    tension.

    To return the elbow to its original strain (for the unyielded
    material) you'd need to actually back off on the spoke nipple first so
    that the tension on the rest of the spoke matches this loss in the
    elbow. You can imagine adding an incremental turn of the nipple to add
    tension back, but that really amounts to just undoing this backing-off
    (plus a tiny tiny bit more, small enough to be immaterial).

    With adding that tension back, what happens is that the entire
    graph - not just the peaks - rises. Again, the total area under the
    graph is the tension of the spoke.

    The amount by which the graph as a whole rises is less
    than the amount by which the maximum amount the peaks were reduced. If
    you like, you can imagine the final graph as chopping the peaks off
    the original graph, then taking the area contained in those peaks, and
    sprinkling it uniformly over the entire graph.

    What stress relieving amounts to, is taking tension from the
    most stressed regions of the spoke, and spreading it across the entire
    section of the spoke. The less stressed material takes on more tension
    so that the peaks can deal with less.

    Steal from the rich, give to the poor.

    -Luns

  18. Quoted message said:

    Dave who? writes:

    http://www.cs.sfu.ca/~bclewis/personal/bike/spoke/spoke_after.jpeg

    Quoted message said:
    Quoted message said:

    Well! "In the presence of pictorial evidence of residual stress, I
    think I hear my mother calling to dinner. I gotta go..."

    Quoted message said:

    I tried to post this question a few days ago, but it must have ended
    up in a bit bucket somewhere...

    Quoted message said:

    I don't understand how these photos prove residual stress, and I
    don't see how they prove that the spoke squeezing process relieves
    that stress. Can you fill in the gaps that I'm missing? Thanks.

    What the picture shows is that the elbow shape has been permanently
    changed by what is called yielding.

    true

    Quoted message said:

    Yield stress is an unacceptably
    high for spokes that are to operate under millions of stress cycles
    and it will cause failure.

    logical disconnect. that it is bent does /not/ mean that bending is a
    result of service tension. it's an assumption that is convenient to
    your theory, but the fact remains that it's hard to build a wheel
    without bending spokes on assembly, but this has nothing to do with
    their stress in service.

    Quoted message said:

    That this stress exists and that it can be
    relaxed mechanically is the basis of this thread.

    mechanical stress is not residual stress. another logical disconnect.

    Quoted message said:

    The stress is a
    residual stress from building in contrast to tension stress that is
    readily determined by tensiometer measurement.

    rubbish garnished with a grain of truth. mechanical tension can be
    measured with a tensiometer, but it's mere supposition that residual
    stress is the result of building - unless you have "corrected the spoke
    line" in building of course, something that deforms spoke elbows and is
    contrary to spoke manufacturer's build instructions.

    Quoted message said:


    If the spoke elbow plastically deforms, as the picture shows, then it
    reached yield stress.

    /when/ did it yield jobst?

    Quoted message said:

    Subsequent tensioning of the spoke guarantees
    that the outside of the elbow, that changed from an obtuse angle to an
    acute angle, remains at yield when wheel building is complete.

    spoke tension alone does not change the angle. see
    http://home.comcast.net/~carlfogel/download/Img_0267.jpg

    out of 32 spokes, only 3 are bent - that can /only/ be a function of
    build, not tension.

    Quoted message said:

    Only
    if the spoke is stress relieved by substantial over tensioning can
    yield stress in this area be lowered.

    no proof for that contention. small deformations that do not
    immediately follow initial forming can lead to higher residual stress,
    not lower.

    Quoted message said:

    By increasing tension, the area
    at yield will yield while the parts of that cross section that are not
    will respond elastically.

    eh?

    Quoted message said:

    When the overload is relaxed, the entire
    cross section reverts to a lower stress than it was under the
    overload; the yielded portion coming down as much as the remainder of
    the cross section.

    assuming stress relief is effective, but for the reasons cited above,
    you can't make that assumption.

    Quoted message said:


    Of course we have been here many times in the last 20 years, mostly
    under attack by dissenters from GB. This is not new and is explained
    in detail in "the Bicycle Wheel".

    translation: "i've been able to stick to this story for 20 years because
    i've never paid attention to fact nor done any technical research in
    case it would cause me to contradict myself."

    Quoted message said:


    [email hidden]

  19. Quoted message said:
    Dave vt? said:
    Quoted message said:

    If the spoke elbow plastically deforms, as the picture shows, then
    it reached yield stress. Subsequent tensioning of the spoke
    guarantees that the outside of the elbow, that changed from an
    obtuse angle to an acute angle, remains at yield when wheel
    building is complete. Only if the spoke is stress relieved by
    substantial over tensioning can yield stress in this area be
    lowered. By increasing tension, the area at yield will yield while
    the parts of that cross section that are not will respond
    elastically. When the overload is relaxed, the entire cross
    section reverts to a lower stress than it was under the overload;
    the yielded portion coming down as much as the remainder of the
    cross section.

    Quoted message said:

    I'm with you up to here (I have a very basic understanding of yield,
    fatigue, Soderberg diagrams, etc). But here's what I don't
    understand. You've yielded the spoke by overloading (squeezing the
    spokes). Now that the spoke has yielded, it must have lower tension
    than before. If you want balanced tension in the wheel, you must
    bring the tension back up by turning the nipple. How do you know
    that this new tension doesn't bring that overstressed region back
    near the yield stress?

    Where is the residual stress going to come from now that it has been
    relieved? As I mentioned in an earlier response, the elongation
    necessary to relieve residual stress is in the micro-inches and has no
    significance to spoke tension. For practical purposes, tension is not
    affected whether a house fly sits on the spoke or not. That's about the
    size of it.

    translation: i can't prove it [sic] - you'll just have to take my word
    for it. funny how gross yielding sufficient to visibly bend a spoke is
    now micro-inches.

    Quoted message said:


    [email hidden]

  20. jim beam said:
    Quoted message said:

    Yield stress is an unacceptably
    high for spokes that are to operate under millions of stress cycles
    and it will cause failure.

    logical disconnect. that it is bent does /not/ mean that bending is a
    result of service tension. it's an assumption that is convenient to
    your theory, but the fact remains that it's hard to build a wheel
    without bending spokes on assembly, but this has nothing to do with
    their stress in service.

    So now I'm lying, am I? I mentioned in the original post that I took
    special care *not* to bend the elbows during lacing. In fact, this is very
    easy to accomplish. It may be difficult not to bend the rest of the spoke,
    but that is irrelevant.

    Quoted message said:
    Quoted message said:

    If the spoke elbow plastically deforms, as the picture shows, then it
    reached yield stress.

    /when/ did it yield jobst?

    It yielded either during tensioning or during stress-relief. Having done
    it myself, I am absolutely 100% certain of that.

    Quoted message said:
    Quoted message said:

    Subsequent tensioning of the spoke guarantees
    that the outside of the elbow, that changed from an obtuse angle to an
    acute angle, remains at yield when wheel building is complete.

    spoke tension alone does not change the angle. see
    http://home.comcast.net/~carlfogel/download/Img_0267.jpg

    out of 32 spokes, only 3 are bent - that can /only/ be a function of
    build, not tension.

    Absolutely and completely false, and I invite anyone else who does not
    believe me to try the same experiment for themselves.

    I can think of two explanations offhand for your spoke elbows not bending
    -- the hub was already perfectly flush with them (seems improbable to me),
    or you did not apply enough tension to bring them to yield.

    --
    Benjamin Lewis

    "Love is a snowmobile racing across the tundra and then suddenly it flips
    over, pinning you underneath. At night, the ice weasels come."
    --Matt Groening

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