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.
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