P
Peter Cole
Guest
Ben C wrote:
> On 2007-09-07, Peter Cole <[email protected]> wrote:
> [...]
>> If the spoke has no bending moment (perfectly supported, perfect path),
>> the applied stress from spoke tension will be tensile (uniform) across
>> the cross section.
>
> I think I basically agree with this, though not absolutely. If the spoke
> is perfectly supported, but being pulled around a corner, there will
> surely still be a bending moment on parts of the spoke, but the distance
> component of that moment will never be greater than half the diameter of
> the spoke.
>
It's theoretically possible to have the elbow perfectly supported such
that there would be no moment. In practice, there must be a little slop
to lace with.
> Moments that small (assuming the force is in the range of normal spoke
> tensions) are low enough not to worry about-- they're not bringing
> anything anywhere near dangerously high stress levels for fatigue.
>
>> Whatever bending force that is also present will add
>> to that. The bending force can be either way depending on angular
>> mismatch. If the spoke elbow is too long, another bending force will act
>> to open the spoke angle further, adding to the residual (mfg) stress.
>>
>> The worst case would be an (initial spoke) angle too acute with elbow
>> too long. Both of those factors plus residual stress would all put
>> tension on the inside of the elbow.
>
> Yes, in that case residual stress from forming would be the same way
> around as applied bending from spoke tension-- i.e. compressive outside
> the bend, tensile inside.
>
>> If the spoke elbows are the right length, and the spoke angle is
>> corrected, the only significant stresses should be spoke tension and
>> residual.
>
> But if you correct the spoke angle, you're changing things right? It was
> bent in the factory by a little piston or whatever, and wants to spring
> back, leaving it with residual stresses. Then you go and bend it again
> to make the elbow a bit bigger or smaller. What happens to the residual
> stresses from the factory?
Typically, you're correcting the spoke angle on the outbound spokes,
closing the angle slightly. I doubt that this reduces residual
manufacturing stresses.
> I imagine they reduce greatly in magnitude and move around a bit. I
> imagine you'd have to hunt around quite a bit with the X-ray diffractor
> to find them and distinguish them from the new applied stresses you've
> just put in.
Reversing the bend direction and lowering the magnitude cyclically to
zero is a way of straightening wire. I would imagine that this would
reduce residuals, but I don't know for sure.
>
>> By stress relieving, the residual is reduced to non-fatiguing levels.
>> But, if the spoke has (tensile) stress levels near yield in parts of
>> the cross section, those will be reduced as they are forced to yield
>> by the momentary overload -- whatever the source. It's a "can't lose"
>> proposition.
>
> I would have thought so, yes, unless you really overdo it.
It's pretty impossible to overdo it, your hands aren't strong enough.
> On 2007-09-07, Peter Cole <[email protected]> wrote:
> [...]
>> If the spoke has no bending moment (perfectly supported, perfect path),
>> the applied stress from spoke tension will be tensile (uniform) across
>> the cross section.
>
> I think I basically agree with this, though not absolutely. If the spoke
> is perfectly supported, but being pulled around a corner, there will
> surely still be a bending moment on parts of the spoke, but the distance
> component of that moment will never be greater than half the diameter of
> the spoke.
>
It's theoretically possible to have the elbow perfectly supported such
that there would be no moment. In practice, there must be a little slop
to lace with.
> Moments that small (assuming the force is in the range of normal spoke
> tensions) are low enough not to worry about-- they're not bringing
> anything anywhere near dangerously high stress levels for fatigue.
>
>> Whatever bending force that is also present will add
>> to that. The bending force can be either way depending on angular
>> mismatch. If the spoke elbow is too long, another bending force will act
>> to open the spoke angle further, adding to the residual (mfg) stress.
>>
>> The worst case would be an (initial spoke) angle too acute with elbow
>> too long. Both of those factors plus residual stress would all put
>> tension on the inside of the elbow.
>
> Yes, in that case residual stress from forming would be the same way
> around as applied bending from spoke tension-- i.e. compressive outside
> the bend, tensile inside.
>
>> If the spoke elbows are the right length, and the spoke angle is
>> corrected, the only significant stresses should be spoke tension and
>> residual.
>
> But if you correct the spoke angle, you're changing things right? It was
> bent in the factory by a little piston or whatever, and wants to spring
> back, leaving it with residual stresses. Then you go and bend it again
> to make the elbow a bit bigger or smaller. What happens to the residual
> stresses from the factory?
Typically, you're correcting the spoke angle on the outbound spokes,
closing the angle slightly. I doubt that this reduces residual
manufacturing stresses.
> I imagine they reduce greatly in magnitude and move around a bit. I
> imagine you'd have to hunt around quite a bit with the X-ray diffractor
> to find them and distinguish them from the new applied stresses you've
> just put in.
Reversing the bend direction and lowering the magnitude cyclically to
zero is a way of straightening wire. I would imagine that this would
reduce residuals, but I don't know for sure.
>
>> By stress relieving, the residual is reduced to non-fatiguing levels.
>> But, if the spoke has (tensile) stress levels near yield in parts of
>> the cross section, those will be reduced as they are forced to yield
>> by the momentary overload -- whatever the source. It's a "can't lose"
>> proposition.
>
> I would have thought so, yes, unless you really overdo it.
It's pretty impossible to overdo it, your hands aren't strong enough.