Quoted message said:Ben C? writes:
[snip]
Quoted message said:Quoted message said:OK shall we call it "tension induced stress"? That sounds good to
me.Not really, "residual stress" is not "tension induced stress", it is
just the opposite. It is residual stress caused by changing the shape
of the spoke elbow from an obtuse to acute angle, the principal
operator in this discussion.
OK I'm reverting to "elbow bend stress" then.
[snip]
Quoted message said:Quoted message said:How much tension would you need in the spoke to hold the elbow at
yield with the spoke flush to the flange?None. It is at yield already. Any additional tension only stretches
the spoke at that stress, it being as high as it can be. From what
you write, it seems you think yield is a passing condition that must
be maintained by continuing increase in tension.
Not an increase, but it must be maintained by tension, yes.
Quoted message said:If you put a spoke in a vise and bend it until the free end is
touching the top of the jaw (~90°) it is at yield and if you don't let
go, it remains at that stress just as the spoke in the flange does.
Yes but if you "don't let it go" you are maintaining the tension. If you
push down on the spoke you can maintain yield stress at the elbow with
relatively low applied force since the moment is big.
But suppose you keep the free end flush with the top of the jaw _only by
pulling it along its length_. How much force would that take?
Quoted message said:Quoted message said:I contend that it is a lot, much more than you've got.
I see that there is a major difference in visualizing what yield
stress is between what you propose and what I understand about this.
I work around mechanical and materials engineers who have no
difficulty in understanding and agreeing with what I have been writing
in this thread and I assumed that if I stated it in detail that it
should make sense to you.
Yes, and we got there in the end, and I thank you for your persistence.
I do understand it, but I don't agree with it.
My visualization requires nothing more than simple geometry, and the
stress/strain graph for stainless steel provided and explained by jim
beam. You should have no difficulty understanding it. The place to start
that I would recommend is as I keep asking you, to consider how the
force required to keep a bend at yield varies with the direction in
which that force is applied.
Maybe you're right that's immaterial, but if you want to understand my
visualization, that's the place the start.
And my visualization may be wrong, but you need to understand it if
you want to tell me where and how.
Quoted message said:Quoted message said:Therefore the yield stress must have gone somewhere. The
explanation of moments and hub-hole deformation that I've given in
several recent posts is a coherent hypothesis, as far as I know, but
I am interested in cogent counter-arguments.The problem with that is that the spoke would have to open its elbow
bend to adjust to a deeper yielding of the flange hole. Two things
speak against that, the first being that the elbow would not have an
acute angel
No, in my version it would still have an acute angle, just not _as_
acute as if the hub hole didn't deform at all.
Quoted message said:and that the spoke head rests firmly against the other
side of the flange so that it doesn't open to a large obtuse angle as
some pictures have shown.
I'm OK with the spoke head resting firmly on the other side of the
flange. The path the shank takes through the hub is what changes.
Quoted message said:I think this is all related to resistance to various aspects of
mechanical stress relief.
I accept mechanical stress relief as described by you as a premise.
[snip]
Quoted message said:Quoted message said:Quoted message said:> I have tried my best. I invite you to explain in your own terms
> how to work out how much force is required to yield the elbow of a
> spoke flush to the flange by pulling on its axis.Quoted message said:Quoted message said:That is immaterial.
Quoted message said:I'm still interested to know, even if it is immaterial.
Lack of a definition of where the force should be measured, I'll say
roughly a push with my thumb.
No, I said "pulling on its axis". Pushing with the thumb is in a
different direction and provides a much higher moment.
Quoted message said:Bending in these terms does not take much force because the stress is
confined to such a small cross section and bedding produces large
loads in a slender cross section.
You've lost me here. The spoke is the same cross-section. The difference
is moment.
Quoted message said:Folding a sheet of aluminum foil back on itself is trivial while doing
that with 1mm thick aluminum sheet is strikingly greater.
Yes but we only have one spoke and it's all about the same thickness
(except for butting...)
[snip]
Quoted message said:Quoted message said:Yes really! I am interested in these matters, and you are a good
source of knowledge about them. Why else am I reading r.b.t?I'm never sure. I've been strung along in such exchanges that ended
with participants finally revealing their purpose, which was to
discredit my book on the subject, while exiting in rude, door slamming
manner. Most of these have come from GB for some reason.
I do not want to discredit you or your book. I do not start out wanting
to disagree with you or "prove you wrong". I just have a curiosity how
these things work, that is all.
With your help and that of others, including jim beam, I'm learning a
lot here, so many thanks.
I admit I am from GB.