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some tire drop data

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28 September 2007
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30 September 2007
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  1. Some recent threads and an email today led me to measure how much a
    fairly typical tire rose as I inflated it.

    The results suggest that some people are fooling themselves.

    First, some data from dial indicator measurements of a loaded tire's
    height rise in thousandths of an inch from 40 to 130 psi, measured
    from top of nominal 700x25c tire.

    Tire measured 1.020" to 1.030" wide at top between 80 to 130 psi.

    Total load on tire was ~85 pounds, resting on a scale, but the tire
    stood on a concrete floor for the test.

    inch mm inch
    psi rise rise change
    --- ----- ---- ------
    40 0.000 0.00 n/a
    50 0.021 0.53 0.021
    60 0.038 0.97 0.017
    70 0.052 1.32 0.014
    80 0.063 1.60 0.011
    90 0.076 1.93 0.013
    100 0.088 2.24 0.012
    110 0.100 2.54 0.012
    120 0.110 2.79 0.010
    130 0.120 3.05 0.010

    My quick and dirty table shows only that the top of a roughly 1.020"
    wide tire rose ~0.120 inches from 40 to 130 psi under an 88 pound
    load.

    For those interested in arbitrary figures, 15% of a tire width of
    1.020" is 0.153", or 3.9 mm.

    Presumably, someone could measure the diameter of a tire hanging in
    mid-air and inflated to some arbitrary pressure, load it with some
    weights, measure the change, and call it tire drop.

    But this would require such an elaborate test rig that it would be
    extremely difficult for any normal poster to even _try_ to make a
    practical measurement of the difference between 90 psi and 100 psi.

    After all, the difference between 90 and 100 psi with an elaborate
    test rig using a dial indicator was only 0.012", about a hundredth of
    an inch.

    Incidentally, it is highly unlikely that pressure and a 700x25 tire's
    rise have the straight linear relationship that some people suggest,
    at least not over a 40 to 130 psi range with an 88 pound load.

    I expect that beautifully smooth graphs of pressure and rise are just
    as theoretical, oversimplified, and mistaken as similar predictions
    for contact patch area, which does not follow the often-mentioned
    tire-pressure/load = area prediction.

    (Actual measurements of contact patches show that they fail to shrink
    as much as predicted with higher pressures and fail to expand as much
    as predicted with lower pressures. They stubbornly stick to a
    preferred size.)

    Cheers,

    Carl Fogel

  2. In article <[email hidden]>,

    Quoted message said:

    Some recent threads and an email today led me to measure how much a
    fairly typical tire rose as I inflated it.

    The results suggest that some people are fooling themselves.

    First, some data from dial indicator measurements of a loaded tire's
    height rise in thousandths of an inch from 40 to 130 psi, measured
    from top of nominal 700x25c tire.

    Tire measured 1.020" to 1.030" wide at top between 80 to 130 psi.

    Total load on tire was ~85 pounds, resting on a scale, but the tire
    stood on a concrete floor for the test.

    inch mm inch
    psi rise rise change
    --- ----- ---- ------
    40 0.000 0.00 n/a
    50 0.021 0.53 0.021
    60 0.038 0.97 0.017
    70 0.052 1.32 0.014
    80 0.063 1.60 0.011
    90 0.076 1.93 0.013
    100 0.088 2.24 0.012
    110 0.100 2.54 0.012
    120 0.110 2.79 0.010
    130 0.120 3.05 0.010

    My quick and dirty table shows only that the top of a roughly 1.020"
    wide tire rose ~0.120 inches from 40 to 130 psi under an 88 pound
    load.

    For those interested in arbitrary figures, 15% of a tire width of
    1.020" is 0.153", or 3.9 mm.

    Presumably, someone could measure the diameter of a tire hanging in
    mid-air and inflated to some arbitrary pressure, load it with some
    weights, measure the change, and call it tire drop.

    But this would require such an elaborate test rig that it would be
    extremely difficult for any normal poster to even _try_ to make a
    practical measurement of the difference between 90 psi and 100 psi.

    After all, the difference between 90 and 100 psi with an elaborate
    test rig using a dial indicator was only 0.012", about a hundredth of
    an inch.

    Incidentally, it is highly unlikely that pressure and a 700x25 tire's
    rise have the straight linear relationship that some people suggest,
    at least not over a 40 to 130 psi range with an 88 pound load.

    I expect that beautifully smooth graphs of pressure and rise are just
    as theoretical, oversimplified, and mistaken as similar predictions
    for contact patch area, which does not follow the often-mentioned
    tire-pressure/load = area prediction.

    (Actual measurements of contact patches show that they fail to shrink
    as much as predicted with higher pressures and fail to expand as much
    as predicted with lower pressures. They stubbornly stick to a
    preferred size.)

    Interesting data from Fogel Labs again; thanks, Carl. I don't have the
    original article about the 15% drop figure right here to read again.
    IIRC the 15% drop figure came from research by Jim Papodopolous, but how
    it was arrived at I don't know. It's a number that looks suspiciously
    arbitrary (how many things in the world work out to such a nice even
    number?).

  3. Tim McNamara said:

    In article <[email hidden]>,

    Quoted message said:

    Some recent threads and an email today led me to measure how much a
    fairly typical tire rose as I inflated it.

    The results suggest that some people are fooling themselves.

    First, some data from dial indicator measurements of a loaded tire's
    height rise in thousandths of an inch from 40 to 130 psi, measured
    from top of nominal 700x25c tire.

    Tire measured 1.020" to 1.030" wide at top between 80 to 130 psi.

    Total load on tire was ~85 pounds, resting on a scale, but the tire
    stood on a concrete floor for the test.

    inch mm inch
    psi rise rise change
    --- ----- ---- ------
    40 0.000 0.00 n/a
    50 0.021 0.53 0.021
    60 0.038 0.97 0.017
    70 0.052 1.32 0.014
    80 0.063 1.60 0.011
    90 0.076 1.93 0.013
    100 0.088 2.24 0.012
    110 0.100 2.54 0.012
    120 0.110 2.79 0.010
    130 0.120 3.05 0.010

    My quick and dirty table shows only that the top of a roughly 1.020"
    wide tire rose ~0.120 inches from 40 to 130 psi under an 88 pound
    load.

    For those interested in arbitrary figures, 15% of a tire width of
    1.020" is 0.153", or 3.9 mm.

    Presumably, someone could measure the diameter of a tire hanging in
    mid-air and inflated to some arbitrary pressure, load it with some
    weights, measure the change, and call it tire drop.

    But this would require such an elaborate test rig that it would be
    extremely difficult for any normal poster to even _try_ to make a
    practical measurement of the difference between 90 psi and 100 psi.

    After all, the difference between 90 and 100 psi with an elaborate
    test rig using a dial indicator was only 0.012", about a hundredth of
    an inch.

    Incidentally, it is highly unlikely that pressure and a 700x25 tire's
    rise have the straight linear relationship that some people suggest,
    at least not over a 40 to 130 psi range with an 88 pound load.

    I expect that beautifully smooth graphs of pressure and rise are just
    as theoretical, oversimplified, and mistaken as similar predictions
    for contact patch area, which does not follow the often-mentioned
    tire-pressure/load = area prediction.

    (Actual measurements of contact patches show that they fail to shrink
    as much as predicted with higher pressures and fail to expand as much
    as predicted with lower pressures. They stubbornly stick to a
    preferred size.)

    Interesting data from Fogel Labs again; thanks, Carl. I don't have the
    original article about the 15% drop figure right here to read again.
    IIRC the 15% drop figure came from research by Jim Papodopolous, but how
    it was arrived at I don't know. It's a number that looks suspiciously
    arbitrary (how many things in the world work out to such a nice even
    number?).

    Dear Tim,

    I don't know where the popular 15% figure came from or from what point
    it was measured--just the weight of the front end of a bike resting on
    the tire is about 10% of the typical load.

    Maybe there's a clever measuring technique that was somehow confirmed
    by rolling resistance tests, but it's going to have to be awfully
    clever to handle differences of about a hundredth of an inch between
    90 and 100 psi.

    Here's a link that came in my email to a chart that graphs some kind
    of 15% drop correlated with pressure for various tire sizes:

    http://bp1.blogger.com/_d-Yj0VDKhWQ/RnwLUoA9sVI/AAAAAAAAAJ4/225Ym5qYKTo/s1600-h/BQ_berto_inflationgraph.jpg

    The graph seems to show some simple linear calculations, not actual
    data points from measurements.

    I suspect that actual measurements would show the straight line theory
    is simply wrong.

    If a tire were a piston in a car engine, then adding a 100 pound
    weight (including piston) would drive a piston with an area of 1
    square inch down until the pressure rose to 100 psi.

    But a bicycle tire is significantly different from a metal piston in a
    metal chamber.

    When we load a tire, the bottom of the "piston chamber" is the
    reasonably unyielding metal rim.

    But on either side of the tire, the C-shaped tire walls deform outward
    against the air pressure trying to keep them in their current shape
    about an inch wide on a 25 mm tire, the minor axis of the toroid (your
    thumb and finger going around the tire).

    Meanwhile, the tire also deforms, much less against the gigantic "O"
    of the tire viewed the long way around, the major axis of the toroid.

    In effect, the tire is more like a long, narrow trampoline than the
    top of a metal piston, and it distorts in a much more complicated
    fashion.

    This is why the simple area = load / pressure load equation fails to
    predict what happens at high and low pressures for 700c x 25 tires.

    The same explanation probably applies to how high a tire rises or
    falls according to pressure. The sides of the tire act as scissors
    jacks, applying increasing pressure at the edge of the contact patch
    as pressure drops and the sides deform more and more.

    As I've mentioned before, what made me suspicious of simple
    straight-line predictions was knowing that a 4-inch wide trials tire
    can carry a 400-pound load in a wheelstand down a paved road with only
    4 psi and no way to spread out more than 4 inches. The oversimplified
    equation predicts:

    400 lbs / 4 (lbs/inch^2) = 100 ^ 2 = 4 x 25 inches

    But a 4 x 18 trials tire is only about 26 inches in diameter, so a 25
    inch long contact patch is impossible. The sidewalls had to be
    exerting considerable force as springs, which seems reasonable, since
    it takes considerable force to pull (or push) the wall of an inflated
    tire out of shape.

    Cheers,

    Carl Fogel

  4. Tim McNamara said:

    In article <[email hidden]>,

    Quoted message said:

    Some recent threads and an email today led me to measure how much a
    fairly typical tire rose as I inflated it.

    Quoted message said:

    The results suggest that some people are fooling themselves.

    Quoted message said:

    First, some data from dial indicator measurements of a loaded tire's
    height rise in thousandths of an inch from 40 to 130 psi, measured
    from top of nominal 700x25c tire.

    Quoted message said:

    Tire measured 1.020" to 1.030" wide at top between 80 to 130 psi.

    Quoted message said:

    Total load on tire was ~85 pounds, resting on a scale, but the tire
    stood on a concrete floor for the test.

    Quoted message said:

    inch mm inch
    psi rise rise change
    --- ----- ---- ------
    40 0.000 0.00 n/a
    50 0.021 0.53 0.021
    60 0.038 0.97 0.017
    70 0.052 1.32 0.014
    80 0.063 1.60 0.011
    90 0.076 1.93 0.013
    100 0.088 2.24 0.012
    110 0.100 2.54 0.012
    120 0.110 2.79 0.010
    130 0.120 3.05 0.010

    Quoted message said:

    My quick and dirty table shows only that the top of a roughly 1.020"
    wide tire rose ~0.120 inches from 40 to 130 psi under an 88 pound
    load.

    Quoted message said:

    For those interested in arbitrary figures, 15% of a tire width of
    1.020" is 0.153", or 3.9 mm.

    Quoted message said:

    Presumably, someone could measure the diameter of a tire hanging in
    mid-air and inflated to some arbitrary pressure, load it with some
    weights, measure the change, and call it tire drop.

    Quoted message said:

    But this would require such an elaborate test rig that it would be
    extremely difficult for any normal poster to even _try_ to make a
    practical measurement of the difference between 90 psi and 100 psi.

    Quoted message said:

    After all, the difference between 90 and 100 psi with an elaborate
    test rig using a dial indicator was only 0.012", about a hundredth of
    an inch.

    Quoted message said:

    Incidentally, it is highly unlikely that pressure and a 700x25 tire's
    rise have the straight linear relationship that some people suggest,
    at least not over a 40 to 130 psi range with an 88 pound load.

    Quoted message said:

    I expect that beautifully smooth graphs of pressure and rise are just
    as theoretical, oversimplified, and mistaken as similar predictions
    for contact patch area, which does not follow the often-mentioned
    tire-pressure/load = area prediction.

    Quoted message said:

    (Actual measurements of contact patches show that they fail to shrink
    as much as predicted with higher pressures and fail to expand as much
    as predicted with lower pressures. They stubbornly stick to a
    preferred size.)

    Interesting data from Fogel Labs again; thanks, Carl. I don't have the
    original article about the 15% drop figure right here to read again.
    IIRC the 15% drop figure came from research by Jim Papodopolous, but how
    it was arrived at I don't know. It's a number that looks suspiciously
    arbitrary (how many things in the world work out to such a nice even
    number?).- Hide quoted text -

    - Show quoted text -

    Thanks for the information, Carl. I think the original article came
    from Bicycling magazine. Currently you can get a version of it on the
    roadbikerider.com website in the member's section.

    Smokey

  5. "Tim McNamara" <[email hidden]> wrote in message
    news:[email hidden]...
    | In article <[email hidden]>,
    | [email hidden] wrote:
    |
    | > Some recent threads and an email today led me to measure how much a
    | > fairly typical tire rose as I inflated it.
    | >
    | > The results suggest that some people are fooling themselves.
    | >
    .....snip
    |
    | Interesting data from Fogel Labs again; thanks, Carl. I don't have the
    | original article about the 15% drop figure right here to read again.
    | IIRC the 15% drop figure came from research by Jim Papodopolous, but how
    | it was arrived at I don't know. It's a number that looks suspiciously
    | arbitrary (how many things in the world work out to such a nice even
    | number?).

    I don't know how Berto came up with the 15% figure, but I do have a
    clipping from Bicycling magazine that says "Michelin and National recommend
    selecting tire size and inflation pressure so the tire height drops by 20%
    when you get on the bike". How they arrived at the 20% figure was never
    mentioned.

  6. In article <[email hidden]>,

    Quoted message said:
    Tim McNamara said:

    In article <[email hidden]>,

    Quoted message said:

    Some recent threads and an email today led me to measure how much
    a fairly typical tire rose as I inflated it.

    The results suggest that some people are fooling themselves.

    First, some data from dial indicator measurements of a loaded
    tire's height rise in thousandths of an inch from 40 to 130 psi,
    measured from top of nominal 700x25c tire.

    Tire measured 1.020" to 1.030" wide at top between 80 to 130 psi.

    Total load on tire was ~85 pounds, resting on a scale, but the
    tire stood on a concrete floor for the test.

    inch mm inch
    psi rise rise change
    --- ----- ---- ------
    40 0.000 0.00 n/a
    50 0.021 0.53 0.021
    60 0.038 0.97 0.017
    70 0.052 1.32 0.014
    80 0.063 1.60 0.011
    90 0.076 1.93 0.013
    100 0.088 2.24 0.012
    110 0.100 2.54 0.012
    120 0.110 2.79 0.010
    130 0.120 3.05 0.010

    My quick and dirty table shows only that the top of a roughly
    1.020" wide tire rose ~0.120 inches from 40 to 130 psi under an 88
    pound load.

    For those interested in arbitrary figures, 15% of a tire width of
    1.020" is 0.153", or 3.9 mm.

    Presumably, someone could measure the diameter of a tire hanging
    in mid-air and inflated to some arbitrary pressure, load it with
    some weights, measure the change, and call it tire drop.

    But this would require such an elaborate test rig that it would be
    extremely difficult for any normal poster to even _try_ to make a
    practical measurement of the difference between 90 psi and 100
    psi.

    After all, the difference between 90 and 100 psi with an elaborate
    test rig using a dial indicator was only 0.012", about a hundredth
    of an inch.

    Incidentally, it is highly unlikely that pressure and a 700x25
    tire's rise have the straight linear relationship that some people
    suggest, at least not over a 40 to 130 psi range with an 88 pound
    load.

    I expect that beautifully smooth graphs of pressure and rise are
    just as theoretical, oversimplified, and mistaken as similar
    predictions for contact patch area, which does not follow the
    often-mentioned tire-pressure/load = area prediction.

    (Actual measurements of contact patches show that they fail to
    shrink as much as predicted with higher pressures and fail to
    expand as much as predicted with lower pressures. They stubbornly
    stick to a preferred size.)

    Interesting data from Fogel Labs again; thanks, Carl. I don't have
    the original article about the 15% drop figure right here to read
    again. IIRC the 15% drop figure came from research by Jim
    Papodopolous, but how it was arrived at I don't know. It's a number
    that looks suspiciously arbitrary (how many things in the world work
    out to such a nice even number?).

    Dear Tim,

    I don't know where the popular 15% figure came from or from what
    point it was measured--just the weight of the front end of a bike
    resting on the tire is about 10% of the typical load.

    Having reviewed the article in Bicycle Quarterly ("Optimizing your tire
    pressure for your weight," BQ Vol 5, Issue 4), the 15% figure was
    referenced from an article by Frank Berto (2004. Under Pressure.
    Australian Cyclist March/April 2004, p. 48). I was not able to locate
    the article on the Australian Cyclist Web site.

    Heine measure loads on three bicycles with a rider seated on the bike
    (randonneur bike, racing bike and "city" bike) and found that the weight
    distribution (% front/rear) was 45/55, 30/60 and 35/65 respectively.

    Heine's article references that a 15% "tire drop" is recommended by
    "several tire manufacturers." That statement is cited to Berto's
    original article and no more specifics are given. The chart with the
    nice linear relationships is also attributed to Berto.

    Quoted message said:

    Maybe there's a clever measuring technique that was somehow confirmed
    by rolling resistance tests, but it's going to have to be awfully
    clever to handle differences of about a hundredth of an inch between
    90 and 100 psi.

    My guess would be to load the wheel through a frame or fork and measure
    the drop from the top of the tire to the ground, with an arrangement
    similar to how a doctor measures your height. It would indeed need to
    be carefully calibrated, perhaps some dial arrangement could be used.

    Quoted message said:

    Here's a link that came in my email to a chart that graphs some kind
    of 15% drop correlated with pressure for various tire sizes:

    http://bp1.blogger.com/_d-Yj0VDKhWQ/RnwLUoA9sVI/AAAAAAAAAJ4/225Ym5qYKT
    o/s1600- h/BQ_berto_inflationgraph.jpg

    The graph seems to show some simple linear calculations, not actual
    data points from measurements.

    I suspect that actual measurements would show the straight line
    theory is simply wrong.

    That is the graph included on p 29 of BQ 5,4. It is attributed to
    Berto's article in Australian Cyclist. Without being able to read the
    Berto article, there isn't any way to understand how Berto came to
    create that graph. I agree that such a linear relationship between
    inflation and tire drop is probably unlikely, although it's conceivable
    that the relationship might be close to linear within the normal range
    in inflation pressures. If you look at the Avocet rolling resistance
    data, the curve of the relationship between inflation pressure and
    rolling resistance flattened quite a bit at higher pressures.

    Maybe you can Google up the source article by Berto, or perhaps there is
    some Australian or New Zealand or Tasmanian participant in the newsgroup
    who can provide that information.

  7. "Tim McNamara" <[email hidden]> wrote in message
    news:[email hidden]...

    Quoted message said:

    In article <[email hidden]>,

    Quoted message said:
    Tim McNamara said:

    In article <[email hidden]>,
    [email hidden] wrote:

    > Some recent threads and an email today led me to measure how much
    > a fairly typical tire rose as I inflated it.
    >
    > The results suggest that some people are fooling themselves.
    >
    > First, some data from dial indicator measurements of a loaded
    > tire's height rise in thousandths of an inch from 40 to 130 psi,
    > measured from top of nominal 700x25c tire.
    >
    > Tire measured 1.020" to 1.030" wide at top between 80 to 130 psi.
    >
    > Total load on tire was ~85 pounds, resting on a scale, but the
    > tire stood on a concrete floor for the test.
    >
    > inch mm inch
    > psi rise rise change
    > --- ----- ---- ------
    > 40 0.000 0.00 n/a
    > 50 0.021 0.53 0.021
    > 60 0.038 0.97 0.017
    > 70 0.052 1.32 0.014
    > 80 0.063 1.60 0.011
    > 90 0.076 1.93 0.013
    > 100 0.088 2.24 0.012
    > 110 0.100 2.54 0.012
    > 120 0.110 2.79 0.010
    > 130 0.120 3.05 0.010
    >
    > My quick and dirty table shows only that the top of a roughly
    > 1.020" wide tire rose ~0.120 inches from 40 to 130 psi under an 88
    > pound load.
    >
    > For those interested in arbitrary figures, 15% of a tire width of
    > 1.020" is 0.153", or 3.9 mm.
    >
    > Presumably, someone could measure the diameter of a tire hanging
    > in mid-air and inflated to some arbitrary pressure, load it with
    > some weights, measure the change, and call it tire drop.
    >
    > But this would require such an elaborate test rig that it would be
    > extremely difficult for any normal poster to even _try_ to make a
    > practical measurement of the difference between 90 psi and 100
    > psi.
    >
    > After all, the difference between 90 and 100 psi with an elaborate
    > test rig using a dial indicator was only 0.012", about a hundredth
    > of an inch.
    >
    > Incidentally, it is highly unlikely that pressure and a 700x25
    > tire's rise have the straight linear relationship that some people
    > suggest, at least not over a 40 to 130 psi range with an 88 pound
    > load.
    >
    > I expect that beautifully smooth graphs of pressure and rise are
    > just as theoretical, oversimplified, and mistaken as similar
    > predictions for contact patch area, which does not follow the
    > often-mentioned tire-pressure/load = area prediction.
    >
    > (Actual measurements of contact patches show that they fail to
    > shrink as much as predicted with higher pressures and fail to
    > expand as much as predicted with lower pressures. They stubbornly
    > stick to a preferred size.)

    Interesting data from Fogel Labs again; thanks, Carl. I don't have
    the original article about the 15% drop figure right here to read
    again. IIRC the 15% drop figure came from research by Jim
    Papodopolous, but how it was arrived at I don't know. It's a number
    that looks suspiciously arbitrary (how many things in the world work
    out to such a nice even number?).

    Dear Tim,

    I don't know where the popular 15% figure came from or from what
    point it was measured--just the weight of the front end of a bike
    resting on the tire is about 10% of the typical load.

    Having reviewed the article in Bicycle Quarterly ("Optimizing your tire
    pressure for your weight," BQ Vol 5, Issue 4), the 15% figure was
    referenced from an article by Frank Berto (2004. Under Pressure.
    Australian Cyclist March/April 2004, p. 48). I was not able to locate
    the article on the Australian Cyclist Web site.

    Heine measure loads on three bicycles with a rider seated on the bike
    (randonneur bike, racing bike and "city" bike) and found that the weight
    distribution (% front/rear) was 45/55, 30/60 and 35/65 respectively.

    Heine's article references that a 15% "tire drop" is recommended by
    "several tire manufacturers." That statement is cited to Berto's
    original article and no more specifics are given. The chart with the
    nice linear relationships is also attributed to Berto.

    Quoted message said:

    Maybe there's a clever measuring technique that was somehow confirmed
    by rolling resistance tests, but it's going to have to be awfully
    clever to handle differences of about a hundredth of an inch between
    90 and 100 psi.

    My guess would be to load the wheel through a frame or fork and measure
    the drop from the top of the tire to the ground, with an arrangement
    similar to how a doctor measures your height. It would indeed need to
    be carefully calibrated, perhaps some dial arrangement could be used.

    Quoted message said:

    Here's a link that came in my email to a chart that graphs some kind
    of 15% drop correlated with pressure for various tire sizes:

    http://bp1.blogger.com/_d-Yj0VDKhWQ/RnwLUoA9sVI/AAAAAAAAAJ4/225Ym5qYKT
    o/s1600- h/BQ_berto_inflationgraph.jpg

    The graph seems to show some simple linear calculations, not actual
    data points from measurements.

    I suspect that actual measurements would show the straight line
    theory is simply wrong.

    That is the graph included on p 29 of BQ 5,4. It is attributed to
    Berto's article in Australian Cyclist. Without being able to read the
    Berto article, there isn't any way to understand how Berto came to
    create that graph. I agree that such a linear relationship between
    inflation and tire drop is probably unlikely, although it's conceivable
    that the relationship might be close to linear within the normal range
    in inflation pressures. If you look at the Avocet rolling resistance
    data, the curve of the relationship between inflation pressure and
    rolling resistance flattened quite a bit at higher pressures.

    Maybe you can Google up the source article by Berto, or perhaps there is
    some Australian or New Zealand or Tasmanian participant in the newsgroup
    who can provide that information.

    Years ago I remember seeing a study that showed only a 5%-7% reduction in
    rolling resistance between 85 PSI and 110 PSI in a variety of tires.

    Since most of us rode sewups in goathead country we opted to run at 85 PSI
    to 90 PSI and got a lot less flats ( refer to Carl Fogel's test of tire
    puncture vs. pressure ).

    Chas.

  8. carlfogel said:
    Tim McNamara said:

    In article <[email hidden]>,

    Quoted message said:

    Some recent threads and an email today led me to measure how much a
    fairly typical tire rose as I inflated it.

    The results suggest that some people are fooling themselves.

    First, some data from dial indicator measurements of a loaded tire's
    height rise in thousandths of an inch from 40 to 130 psi, measured
    from top of nominal 700x25c tire.

    Tire measured 1.020" to 1.030" wide at top between 80 to 130 psi.

    Total load on tire was ~85 pounds, resting on a scale, but the tire
    stood on a concrete floor for the test.

    inch mm inch
    psi rise rise change
    --- ----- ---- ------
    40 0.000 0.00 n/a
    50 0.021 0.53 0.021
    60 0.038 0.97 0.017
    70 0.052 1.32 0.014
    80 0.063 1.60 0.011
    90 0.076 1.93 0.013
    100 0.088 2.24 0.012
    110 0.100 2.54 0.012
    120 0.110 2.79 0.010
    130 0.120 3.05 0.010

    My quick and dirty table shows only that the top of a roughly 1.020"
    wide tire rose ~0.120 inches from 40 to 130 psi under an 88 pound
    load.

    For those interested in arbitrary figures, 15% of a tire width of
    1.020" is 0.153", or 3.9 mm.

    Presumably, someone could measure the diameter of a tire hanging in
    mid-air and inflated to some arbitrary pressure, load it with some
    weights, measure the change, and call it tire drop.

    But this would require such an elaborate test rig that it would be
    extremely difficult for any normal poster to even _try_ to make a
    practical measurement of the difference between 90 psi and 100 psi.

    After all, the difference between 90 and 100 psi with an elaborate
    test rig using a dial indicator was only 0.012", about a hundredth of
    an inch.

    Incidentally, it is highly unlikely that pressure and a 700x25 tire's
    rise have the straight linear relationship that some people suggest,
    at least not over a 40 to 130 psi range with an 88 pound load.

    I expect that beautifully smooth graphs of pressure and rise are just
    as theoretical, oversimplified, and mistaken as similar predictions
    for contact patch area, which does not follow the often-mentioned
    tire-pressure/load = area prediction.

    (Actual measurements of contact patches show that they fail to shrink
    as much as predicted with higher pressures and fail to expand as much
    as predicted with lower pressures. They stubbornly stick to a
    preferred size.)

    Interesting data from Fogel Labs again; thanks, Carl. I don't have the
    original article about the 15% drop figure right here to read again.
    IIRC the 15% drop figure came from research by Jim Papodopolous, but how
    it was arrived at I don't know. It's a number that looks suspiciously
    arbitrary (how many things in the world work out to such a nice even
    number?).

    Dear Tim,

    I don't know where the popular 15% figure came from or from what point
    it was measured--just the weight of the front end of a bike resting on
    the tire is about 10% of the typical load.

    Maybe there's a clever measuring technique that was somehow confirmed
    by rolling resistance tests, but it's going to have to be awfully
    clever to handle differences of about a hundredth of an inch between
    90 and 100 psi.

    Here's a link that came in my email to a chart that graphs some kind
    of 15% drop correlated with pressure for various tire sizes:

    http://bp1.blogger.com/_d-Yj0VDKhWQ/RnwLUoA9sVI/AAAAAAAAAJ4/225Ym5qYKTo/s1600-h/BQ_berto_inflationgraph.jpg

    The graph seems to show some simple linear calculations, not actual
    data points from measurements.

    I suspect that actual measurements would show the straight line theory
    is simply wrong.

    If a tire were a piston in a car engine, then adding a 100 pound
    weight (including piston) would drive a piston with an area of 1
    square inch down until the pressure rose to 100 psi.

    But a bicycle tire is significantly different from a metal piston in a
    metal chamber.

    When we load a tire, the bottom of the "piston chamber" is the
    reasonably unyielding metal rim.

    But on either side of the tire, the C-shaped tire walls deform outward
    against the air pressure trying to keep them in their current shape
    about an inch wide on a 25 mm tire, the minor axis of the toroid (your
    thumb and finger going around the tire).

    Meanwhile, the tire also deforms, much less against the gigantic "O"
    of the tire viewed the long way around, the major axis of the toroid.

    In effect, the tire is more like a long, narrow trampoline than the
    top of a metal piston, and it distorts in a much more complicated
    fashion.

    This is why the simple area = load / pressure load equation fails to
    predict what happens at high and low pressures for 700c x 25 tires.

    The same explanation probably applies to how high a tire rises or
    falls according to pressure. The sides of the tire act as scissors
    jacks, applying increasing pressure at the edge of the contact patch
    as pressure drops and the sides deform more and more.

    As I've mentioned before, what made me suspicious of simple
    straight-line predictions was knowing that a 4-inch wide trials tire
    can carry a 400-pound load in a wheelstand down a paved road with only
    4 psi and no way to spread out more than 4 inches. The oversimplified
    equation predicts:

    400 lbs / 4 (lbs/inch^2) = 100 ^ 2 = 4 x 25 inches

    But a 4 x 18 trials tire is only about 26 inches in diameter, so a 25
    inch long contact patch is impossible. The sidewalls had to be
    exerting considerable force as springs, which seems reasonable, since
    it takes considerable force to pull (or push) the wall of an inflated
    tire out of shape.

    Cheers,

    Carl Fogel

    Jan Heine, publisher of the magazine where the graph appeared, posted a
    response on the ibob mailing list:

    "The graph with the linear relationships quoted in the link below
    [i.e., Carl's link, above] came from Bicycle Quarterly. It was based on
    actual measurements by Frank Berto, and his measurements did line up
    roughly on a straight line (I have seen the original measurements). He
    built a test rig, which he described many years ago in Bicycling Magazine.
    The graphs are extrapolated toward the ends...

    The discrepancy between Carl Fogel's measurements and Frank Berto's
    might be easy to explain. They measured different things. Carl
    measured the rise of the tire with increasing pressure. I am not
    surprised that this is not linear - the tire cannot expand
    indefinitely.

    Frank Berto measured how much pressure he needed for different
    weights to achieve the same tire deflection of 15%. The 15% came from
    tire manufacturers' recommendations. In Bicycle Quarterly's real road
    tests, we found that performance decreased significantly once the
    "tire drop" was more than about 13-15%. With less tire drop, higher
    pressures did not yield significant performance benefits.

    Please feel free to forward this clarification to rec.bike.tech.

    Jan Heine
    Editor
    Bicycle Quarterly
    140 Lakeside Ave #C
    Seattle WA 98122
    www.bikequarterly.com"

    http://search.bikelist.org/getmsg.asp?Filename=internet-bob.10709.1869.eml

  9. On Sat, 29 Sep 2007 12:23:39 -0500, Tim McNamara
    <[email hidden]> wrote:

    [snip]

    Quoted message said:
    Quoted message said:

    Maybe there's a clever measuring technique that was somehow confirmed
    by rolling resistance tests, but it's going to have to be awfully
    clever to handle differences of about a hundredth of an inch between
    90 and 100 psi.

    My guess would be to load the wheel through a frame or fork and measure
    the drop from the top of the tire to the ground, with an arrangement
    similar to how a doctor measures your height. It would indeed need to
    be carefully calibrated, perhaps some dial arrangement could be used.

    [snip]

    Dear Tim,

    In this case, the more careful the measurement, the sillier the
    results will be. The resolution is already too fine for the subject.

    There's no medical point, for example, to weighing normal adults to
    within even a pound, since our weight easily varies that much
    according to our last meal and visit to the bathroom. (The doctor does
    not bother to have you remove your wallet, much less strip naked, when
    he weighs you on his balance scales, accurate to 4 ounces.)

    The "15%" tire drop figure implies resolution to at least 5%
    increments, meaning that we think that 15% is what we want, not 10% or
    20%.

    But when compared to 10% or 20% drops, a "15% drop" means only that
    somewhere between 70 and 110 psi is a good idea for tire inflation.

    We hardly need elaborate charts and dial indicators to tell us that.

    Here's how it works.

    If a 1.000" wide tire has an absolute 15% drop of 0.150" at 90 psi
    under an 85-lb load (don't ask me how to actually measure that with
    repeatable accuracy), then we can apply my relative rise measurements
    for a ~1" tire under the same conditions:

    10 psi
    theoretical measured
    absolute relative
    psi drop drops
    --- -------- --------
    x 20% 0.200" 20%
    130 0.194" +0.010"
    120 0.184" +0.010"
    110 0.174" +0.012" \
    100 0.162" +0.012" \
    90 15% 0.150" 0 > 15% range
    80 0.137" -0.013" /
    70 0.126" -0.011" /
    60 0.112" -0.014"
    x 10% 0.100" 10%
    50 0.091" -0.021"

    Here's my test data again:

    inch inch
    psi rise change
    --- ----- ------
    40 0.000 n/a
    50 0.021 0.021
    60 0.038 0.017
    70 0.052 0.014
    80 0.063 0.011
    90 0.076 0.013
    100 0.088 0.012
    110 0.100 0.012
    120 0.110 0.010
    130 0.120 0.010

    In any case, inflated tires are not round to within a hundredth of an
    inch. They're just slapped on aluminum rims and inflated, with the
    beads creeping out roughly regularly, and then the sides bend as the
    tire is loaded.

    What's bending in clinchers are bias-laid plies of threads, with 66 to
    170 threads per inch:

    66 tpi 0.015"
    127 tpi 0.008"
    170 tpi 0.006"

    A single thread is roughly as thick as a measured 10 psi difference in
    tire drop.

    Cheers,

    Carl Fogel

  10. On Sat, 29 Sep 2007 14:23:23 -0500, Gary Young <[email hidden]>

    Quoted message said:
    carlfogel said:
    Tim McNamara said:

    In article <[email hidden]>,
    [email hidden] wrote:

    > Some recent threads and an email today led me to measure how much a
    > fairly typical tire rose as I inflated it.
    >
    > The results suggest that some people are fooling themselves.
    >
    > First, some data from dial indicator measurements of a loaded tire's
    > height rise in thousandths of an inch from 40 to 130 psi, measured
    > from top of nominal 700x25c tire.
    >
    > Tire measured 1.020" to 1.030" wide at top between 80 to 130 psi.
    >
    > Total load on tire was ~85 pounds, resting on a scale, but the tire
    > stood on a concrete floor for the test.
    >
    > inch mm inch
    > psi rise rise change
    > --- ----- ---- ------
    > 40 0.000 0.00 n/a
    > 50 0.021 0.53 0.021
    > 60 0.038 0.97 0.017
    > 70 0.052 1.32 0.014
    > 80 0.063 1.60 0.011
    > 90 0.076 1.93 0.013
    > 100 0.088 2.24 0.012
    > 110 0.100 2.54 0.012
    > 120 0.110 2.79 0.010
    > 130 0.120 3.05 0.010
    >
    > My quick and dirty table shows only that the top of a roughly 1.020"
    > wide tire rose ~0.120 inches from 40 to 130 psi under an 88 pound
    > load.
    >
    > For those interested in arbitrary figures, 15% of a tire width of
    > 1.020" is 0.153", or 3.9 mm.
    >
    > Presumably, someone could measure the diameter of a tire hanging in
    > mid-air and inflated to some arbitrary pressure, load it with some
    > weights, measure the change, and call it tire drop.
    >
    > But this would require such an elaborate test rig that it would be
    > extremely difficult for any normal poster to even _try_ to make a
    > practical measurement of the difference between 90 psi and 100 psi.
    >
    > After all, the difference between 90 and 100 psi with an elaborate
    > test rig using a dial indicator was only 0.012", about a hundredth of
    > an inch.
    >
    > Incidentally, it is highly unlikely that pressure and a 700x25 tire's
    > rise have the straight linear relationship that some people suggest,
    > at least not over a 40 to 130 psi range with an 88 pound load.
    >
    > I expect that beautifully smooth graphs of pressure and rise are just
    > as theoretical, oversimplified, and mistaken as similar predictions
    > for contact patch area, which does not follow the often-mentioned
    > tire-pressure/load = area prediction.
    >
    > (Actual measurements of contact patches show that they fail to shrink
    > as much as predicted with higher pressures and fail to expand as much
    > as predicted with lower pressures. They stubbornly stick to a
    > preferred size.)

    Interesting data from Fogel Labs again; thanks, Carl. I don't have the
    original article about the 15% drop figure right here to read again.
    IIRC the 15% drop figure came from research by Jim Papodopolous, but how
    it was arrived at I don't know. It's a number that looks suspiciously
    arbitrary (how many things in the world work out to such a nice even
    number?).

    Dear Tim,

    I don't know where the popular 15% figure came from or from what point
    it was measured--just the weight of the front end of a bike resting on
    the tire is about 10% of the typical load.

    Maybe there's a clever measuring technique that was somehow confirmed
    by rolling resistance tests, but it's going to have to be awfully
    clever to handle differences of about a hundredth of an inch between
    90 and 100 psi.

    Here's a link that came in my email to a chart that graphs some kind
    of 15% drop correlated with pressure for various tire sizes:

    http://bp1.blogger.com/_d-Yj0VDKhWQ/RnwLUoA9sVI/AAAAAAAAAJ4/225Ym5qYKTo/s1600-h/BQ_berto_inflationgraph.jpg

    The graph seems to show some simple linear calculations, not actual
    data points from measurements.

    I suspect that actual measurements would show the straight line theory
    is simply wrong.

    If a tire were a piston in a car engine, then adding a 100 pound
    weight (including piston) would drive a piston with an area of 1
    square inch down until the pressure rose to 100 psi.

    But a bicycle tire is significantly different from a metal piston in a
    metal chamber.

    When we load a tire, the bottom of the "piston chamber" is the
    reasonably unyielding metal rim.

    But on either side of the tire, the C-shaped tire walls deform outward
    against the air pressure trying to keep them in their current shape
    about an inch wide on a 25 mm tire, the minor axis of the toroid (your
    thumb and finger going around the tire).

    Meanwhile, the tire also deforms, much less against the gigantic "O"
    of the tire viewed the long way around, the major axis of the toroid.

    In effect, the tire is more like a long, narrow trampoline than the
    top of a metal piston, and it distorts in a much more complicated
    fashion.

    This is why the simple area = load / pressure load equation fails to
    predict what happens at high and low pressures for 700c x 25 tires.

    The same explanation probably applies to how high a tire rises or
    falls according to pressure. The sides of the tire act as scissors
    jacks, applying increasing pressure at the edge of the contact patch
    as pressure drops and the sides deform more and more.

    As I've mentioned before, what made me suspicious of simple
    straight-line predictions was knowing that a 4-inch wide trials tire
    can carry a 400-pound load in a wheelstand down a paved road with only
    4 psi and no way to spread out more than 4 inches. The oversimplified
    equation predicts:

    400 lbs / 4 (lbs/inch^2) = 100 ^ 2 = 4 x 25 inches

    But a 4 x 18 trials tire is only about 26 inches in diameter, so a 25
    inch long contact patch is impossible. The sidewalls had to be
    exerting considerable force as springs, which seems reasonable, since
    it takes considerable force to pull (or push) the wall of an inflated
    tire out of shape.

    Cheers,

    Carl Fogel

    Jan Heine, publisher of the magazine where the graph appeared, posted a
    response on the ibob mailing list:

    "The graph with the linear relationships quoted in the link below
    [i.e., Carl's link, above] came from Bicycle Quarterly. It was based on
    actual measurements by Frank Berto, and his measurements did line up
    roughly on a straight line (I have seen the original measurements). He
    built a test rig, which he described many years ago in Bicycling Magazine.
    The graphs are extrapolated toward the ends...

    The discrepancy between Carl Fogel's measurements and Frank Berto's
    might be easy to explain. They measured different things. Carl
    measured the rise of the tire with increasing pressure. I am not
    surprised that this is not linear - the tire cannot expand
    indefinitely.

    Frank Berto measured how much pressure he needed for different
    weights to achieve the same tire deflection of 15%. The 15% came from
    tire manufacturers' recommendations. In Bicycle Quarterly's real road
    tests, we found that performance decreased significantly once the
    "tire drop" was more than about 13-15%. With less tire drop, higher
    pressures did not yield significant performance benefits.

    Please feel free to forward this clarification to rec.bike.tech.

    Jan Heine
    Editor
    Bicycle Quarterly
    140 Lakeside Ave #C
    Seattle WA 98122
    www.bikequarterly.com"

    http://search.bikelist.org/getmsg.asp?Filename=internet-bob.10709.1869.eml

    Dear Gary,

    Anyone can load a tire, put a dial indicator on the top of the tire,
    and measure the rise as inflation is increased in 10 psi increments.

    It makes no difference whether the measurements are taken in
    increasing or decreasing order.

    The rise will _not_ be linear, with the effect particularly noticeable
    at low pressures. If a straight line was extrapolated, that could
    account for the discrepancy.

    It would be fascinating to see the details of how the measurements
    were achieved, since the tire deflects _most_ with the initial load.

    In other words, the drop for 8 pounds of load is greatest for the
    first 8 pounds (roughly the load of just a 20-lb bike on the front
    tire). Measuring differences in thousandths of an inch gets awfully
    tricky in practical terms out toward zero.

    A 13%-15% absolute tire drop range is mentioned.

    For a 1.000" tire, that's 0.130" to 0.150", a difference of 0.020".

    On a ~1-inch tire, I found that a relative drop of 0.020" at ~90 psi
    with an 85-lb load corresponded to a ~20 psi change in inflation.

    Any bicyclist with a floor pump, a dial indicator, and some weights
    can check my measurements.

    You can pick up a dial indicator from Harbor Freight for about ten
    bucks, less than the cost of a floor pump.

    Cheers,

    Carl Fogel

  11. "Gary Young" <[email hidden]> wrote in message
    news:[email hidden]...

    Quoted message said:

    On Fri, 28 Sep 2007 21:24:36 -0600, carlfogel wrote:


    <snip>

    Quoted message said:

    .....In Bicycle Quarterly's real road tests, we found that
    performance decreased significantly once the "tire drop" > was more than


    about 13-15%. With less tire drop, higher > pressures did not yield
    significant performance benefits.

    Performance? Define performance. Was it an increase in rolling resistance?
    More pedal force required? Or was it anecdotal subjective opinions of the
    riders.

    My personal opinion is that some riders like very hard tires and have
    fooled themselves into thinking that tires run at high pressures will MAKE
    them go faster.

    If I'm going to ride on a rough surface road I ride Panaracer Paselas at
    85-90PSI. If it's a smooth road surface I like Continental Grand Prixs at
    95-110 PSI. I ride sewups at 90 PSI. That's MY preference based on ride
    comfort and puncture potential.

    Chas.

  12. Quoted message said:

    Some recent threads and an email today led me to measure how much a
    fairly typical tire rose as I inflated it.

    The results suggest that some people are fooling themselves.

    First, some data from dial indicator measurements of a loaded tire's
    height rise in thousandths of an inch from 40 to 130 psi, measured
    from top of nominal 700x25c tire.

    Tire measured 1.020" to 1.030" wide at top between 80 to 130 psi.

    Total load on tire was ~85 pounds, resting on a scale, but the tire
    stood on a concrete floor for the test.

    inch mm inch
    psi rise rise change
    --- ----- ---- ------
    40 0.000 0.00 n/a
    50 0.021 0.53 0.021
    60 0.038 0.97 0.017
    70 0.052 1.32 0.014
    80 0.063 1.60 0.011
    90 0.076 1.93 0.013
    100 0.088 2.24 0.012
    110 0.100 2.54 0.012
    120 0.110 2.79 0.010
    130 0.120 3.05 0.010

    My quick and dirty table shows only that the top of a roughly 1.020"
    wide tire rose ~0.120 inches from 40 to 130 psi under an 88 pound
    load.

    For those interested in arbitrary figures, 15% of a tire width of
    1.020" is 0.153", or 3.9 mm.

    Presumably, someone could measure the diameter of a tire hanging in
    mid-air and inflated to some arbitrary pressure, load it with some
    weights, measure the change, and call it tire drop.

    But this would require such an elaborate test rig that it would be
    extremely difficult for any normal poster to even _try_ to make a
    practical measurement of the difference between 90 psi and 100 psi.

    After all, the difference between 90 and 100 psi with an elaborate
    test rig using a dial indicator was only 0.012", about a hundredth of
    an inch.

    Incidentally, it is highly unlikely that pressure and a 700x25 tire's
    rise have the straight linear relationship that some people suggest,
    at least not over a 40 to 130 psi range with an 88 pound load.

    I expect that beautifully smooth graphs of pressure and rise are just
    as theoretical, oversimplified, and mistaken as similar predictions
    for contact patch area, which does not follow the often-mentioned
    tire-pressure/load = area prediction.

    (Actual measurements of contact patches show that they fail to shrink
    as much as predicted with higher pressures and fail to expand as much
    as predicted with lower pressures. They stubbornly stick to a
    preferred size.)

    Cheers,

    Carl Fogel

    An email asked for details of the testing.

    I wonder if other posters get as many emails as I do? Often it seems
    as if people are accidentally hitting the email instead of the post
    button on their newsreaders. I don't mind, but it would more fun if
    they were all beautiful but lonely women.

    Luckily, the test rig had been left untouched in hopes of gaining
    Historic Place status, so here's a picture:

    http://i24.tinypic.com/2iw4zn5.jpg

    The white bathroom scales are not legal for trade, but showed ~85
    pounds when shoved under the tire. They were removed for testing, lest
    the tire inflation increased the contact patch area enough to cause
    the scale surface to rise--remember, the measurements involved changes
    as small as ten thousandths of an inch.

    The yellow floor pump reads in alleged 2-lb increments. Zip ties
    secure the pump head, which tended to come off during lengthy testing.
    Fogel Labs has budgeted for a new O-ring.

    The seat post sticks up between the jaws of the bench vise, which are
    slightly open, but stop everything from toppling over. If the post had
    been clamped, it might have held the front end of the bicycle down
    slightly as the tire was pumped up--again, the measurements were so
    tiny that such precautions were necessary.

    The board was clamped to the red test frame for long-ago experiments.
    Later, the weight bar was added for even stranger rituals.

    The dial indicator from Sears is directly over the front axle and
    contact patch. It rests on the weight bar, not the top of the tire,
    partly because it was just about the right height, but mostly because
    the slight expansion of the top of the tire during inflation would
    have exaggerated the rise of the bottom of the tire.

    A carefully machined indentation in the round weight bar assures that
    the dial indicator does not slip off to the side and give false
    readings. (It looks remarkably like a dent whacked with a blunt punch
    and a hammer.)

    The dial indicator is held by vise grips, which in turn are held in
    place under a 10-pound weight. Vise grips were required because half
    the convenient mounting lug on the back of the dial indicator was
    hacksawed off in 1972 in order to fit into an awkward spot while
    timing a motorcycle. I may spend ten bucks at Harbor Freight and get a
    replacement, or maybe even a few bucks more for one with an adjustable
    arm.

    Cheers,

    Carl Fogel

  13. Tim McNamara said:

    Heine measure loads on three bicycles with a rider seated on the bike
    (randonneur bike, racing bike and "city" bike) and found that the weight
    distribution (% front/rear) was 45/55, 30/60 and 35/65 respectively.

    The middle figures don't add up. I'm guessing they should have been
    40/60?

  14. In article <[email hidden]>,

    Quoted message said:

    On Sat, 29 Sep 2007 14:23:23 -0500, Gary Young <[email hidden]>

    Quoted message said:
    carlfogel said:

    On Fri, 28 Sep 2007 21:27:22 -0500, Tim McNamara
    <[email hidden]> wrote:

    >In article <[email hidden]>,
    > [email hidden] wrote:

    [long correspondence trimmed; interested viewers are invited to check
    the archives]

    Quoted message said:

    Any bicyclist with a floor pump, a dial indicator, and some weights
    can check my measurements.

    You can pick up a dial indicator from Harbor Freight for about ten
    bucks, less than the cost of a floor pump.

    Aha! I am on to your craven attempts to encourage the readers of rbt to
    engage in the oft-forsaken cornerstone of the Scientific Method:
    reproducibility!

    Well, we scholastics are on to you.

    And it's a shame. I always assumed that a former literature explicator
    like yourself would have had a naturally scholastic bent.

    Silliness aside, I should take up your challenge, but my excuse is that
    I have too many bikes a-building right now for others.

    --
    Ryan Cousineau [email hidden] http://www.wiredcola.com/
    "I don't want kids who are thinking about going into mathematics
    to think that they have to take drugs to succeed." -Paul Erdos

  15. Quoted message said:

    Some recent threads and an email today led me to measure how much a
    fairly typical tire rose as I inflated it.

    The results suggest that some people are fooling themselves.

    First, some data from dial indicator measurements of a loaded tire's
    height rise in thousandths of an inch from 40 to 130 psi, measured
    from top of nominal 700x25c tire.

    Tire measured 1.020" to 1.030" wide at top between 80 to 130 psi.

    Total load on tire was ~85 pounds, resting on a scale, but the tire
    stood on a concrete floor for the test.

    inch mm inch
    psi rise rise change
    --- ----- ---- ------
    40 0.000 0.00 n/a
    50 0.021 0.53 0.021
    60 0.038 0.97 0.017
    70 0.052 1.32 0.014
    80 0.063 1.60 0.011
    90 0.076 1.93 0.013
    100 0.088 2.24 0.012
    110 0.100 2.54 0.012
    120 0.110 2.79 0.010
    130 0.120 3.05 0.010

    My quick and dirty table shows only that the top of a roughly 1.020"
    wide tire rose ~0.120 inches from 40 to 130 psi under an 88 pound
    load.

    For those interested in arbitrary figures, 15% of a tire width of
    1.020" is 0.153", or 3.9 mm.

    Presumably, someone could measure the diameter of a tire hanging in
    mid-air and inflated to some arbitrary pressure, load it with some
    weights, measure the change, and call it tire drop.

    But this would require such an elaborate test rig that it would be
    extremely difficult for any normal poster to even _try_ to make a
    practical measurement of the difference between 90 psi and 100 psi.

    After all, the difference between 90 and 100 psi with an elaborate
    test rig using a dial indicator was only 0.012", about a hundredth of
    an inch.

    Incidentally, it is highly unlikely that pressure and a 700x25 tire's
    rise have the straight linear relationship that some people suggest,
    at least not over a 40 to 130 psi range with an 88 pound load.

    I expect that beautifully smooth graphs of pressure and rise are just
    as theoretical, oversimplified, and mistaken as similar predictions
    for contact patch area, which does not follow the often-mentioned
    tire-pressure/load = area prediction.

    (Actual measurements of contact patches show that they fail to shrink
    as much as predicted with higher pressures and fail to expand as much
    as predicted with lower pressures. They stubbornly stick to a
    preferred size.)

    Cheers,

    Carl Fogel

    An odd example of measurement problems.

    I took a few minutes and set up my dial calipers to hang and measure
    the same tire's width as it sat in a truing stand. As I expected, the
    tire widened as it was pumped up

    psi width

    30 0.975
    40 0.985
    50 0.992
    60 0.996
    70 0.998
    80 1.007
    90 1.014
    100 1.018
    110 1.025
    120 1.029
    130 1.034
    140 1.040

    But trying to get a good reading by rolling a dial caliper's jaws shut
    on squishy rubber _felt_ a little squishy and inaccurate, even though
    the results looked good.

    Rather than adjusting the dial caliper to slip at less and less
    resistance as its jaws closed on the rubber, I decided to try a dial
    indicator, which supplies its own very gentle spring action.

    Naturally, I got sidetracked and first set the dial indicator up to
    measure the expansion of the top of the tire in the truing stand, not
    its sideways bulge. But things turned out pretty well:

    top of
    psi tire

    ? 1.000 as low as I could get it and still feel pressure
    10 0.990 probably seated a bit, moving the wrong way
    20 0.994
    30 0.998
    40 1.002
    50 1.007
    60 1.011
    70 1.016
    80 1.023
    90 1.028
    100 1.033
    110 1.038
    120 1.042
    130 1.050
    140 pump head blew off

    Then I set things up again in the truing stand, but turned the dial
    indicator rig on the side of the tire to measure how far one side of
    the tire bulged sideways as I pumped it up.

    I zeroed the dial indicator, checked that everything was at right
    angles, and pumped . . . Nothing.

    No change at 10 psi.

    I pumped to 20 psi, but still nothing happened.

    At 30 psi, the needle still sat on 0.000.

    I went up to 80 psi without any movement.

    At 120 psi, there was a little movement, about 0.003 inches.

    Mystified, I grabbed my dial calipers, closed their jaws on the stupid
    tire, and let the air out of the dumb thing. A gratifying gap promptly
    opened between the side of the tire and the jaws, so I knew that I
    wasn't crazy--tires really do expand when inflated.

    But another attempt with the dial _indicator_ produced the same
    failure.

    At first, I thought that the problem was just that the tire was
    expanding outward, as well as sideways, and the dial indicator was
    slipping down the side of the expanding tire, just enough for the loss
    to cancel the gain.

    Some of the failure was due to this movement in two directions, but I
    suspect that real problem was the tiny bit of stiction in the dial
    indicator rod as the rubber moved outward as well as sideways may have
    made things worse, too, jamming the delicate mechanism.

    Whatever the cause, the dial indicator utterly failed to measure the
    sideways expansion clearly indicated by dial calipers.

    Cheers,

    Carl Fogel

  16. On Sun, 30 Sep 2007 05:10:12 GMT, Ryan Cousineau <[email hidden]>
    wrote:

    [snip]

    Quoted message said:

    Silliness aside, I should take up your challenge, but my excuse is that
    I have too many bikes a-building right now for others.

    Dear Ryan,

    Just remember that it could be a very bad thing if a bike with 80
    pounds of weights at handlebar height topples over onto you.

    Safety rope the rig to a work bench or arrange for a hefty vise's jaws
    to cuddle a stout part of the bike frame.

    But do _something_ to make sure that your carefully balanced test bike
    rig can't fall over and hurt you.

    I haven't had any accidents so far, and I don't want to read about
    anyone else having different results.

    Er, I mean anyone else having accidents. Different results are fine.

    Cheers,

    Carl Fogel

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