Engineering question.....overstressed axle?

Stephen Williams · From: from Wales now in Berkeley,Ca, USA

I am using a 5/16" diameter steel axle to support the fingers. If I calculate the load on it at, say, 25lbs per string, the bending stress works out at 39,100 psi. Pretty high eh? I arrived at that number as follows....

Moment = Wl/8 = 25 x 10 strings x 3.75"/8 = 117.2 lb-in

and s = pi x d cubed/32 = 3.142 x 0.3125 x 0.3125 x 0.3125/32 = 0.003 in cubed

and M/s = f = 117.2/.003= 39,066 psi where Fy yield stress is 36,000psi !!

Is this correct?

Erv Niehaus · From: Litchfield, MN, USA

I'd spend more time practicing. Rolling Eyes

Tom Gorr · From: Three Hills, Alberta

Its a distributed loading not a point loading on the axle. . Not sure is that is properly handled in the formula.

Ross Shafer · From: Petaluma, California

Kudos on having the math skills to evaluate this on paper!

I'm afraid I haven't the math chops to check your work (I should've gone to college afterall). I have however made my living designing and making all manner of mechanical stuff for the last 40 years. I can say with a fair bit of confidence and no math that a 5/16" diameter metal changer pivot axle held only at the ends will not be stiff enough to handle the loads it would see on a pedal steel without unwanted deflection. However a simple support (ala Sho-Bud and others) between fingers should eliminate most if not all deflection.

If you're ever in the Petaluma area, stop by and we can have some fun nerding out on this kind of thing.

Georg Sørtun · From: Mandal, Agder, Norway

Jim Palenscar · From: Oceanside, Calif, USA

I suppose that one of the key words is "unwanted"- is any deflection wanted? I recall a physics professor saying that when a fly lands on a steel bar it bends- just because you might be unable to see it, the deflection can be measured.
It has been my experience that, in general, 12 string guitars have a tendency to suffer from more cabinet drop than their 10 string counterparts and it has been my opinion that the one of the reasons for this is the increased length of the changer axle being unsupported. I also know that extremely small changes can be responsible for audible changes in frequencies of a vibrating string. A supporting anecdotal incident comes to mind when I was perplexed about the severe cabinet drop in a keyless 12 string guitar that I built a number of years ago. After trying everything I knew to minimize it, I called the revered builder of the Anapeg in Australia Noel Anstead and the first question that he asked me was "How thick is the top plate in your keyless changer?" When I replied that it was .350" thick and chromed(which is supposed to increase rigidity dramatically) he said- "Ah- there is your problem- it needs to be at least 1/2" thick!" While I disagreed initially because I was unable to see any movement in the plate in question, I happened to have a dial indicator right there and measured it while still on the phone with Noel by mounting it on the cabinet of the guitar and put the other end on the center of the keyless tuner plate and stepped on the B pedal and saw a dramatic movement in the needle. My jaw dropped and was relieved to have found the source of my problem.

Georg Sørtun · From: Mandal, Agder, Norway

Joe Naylor · From: Avondale, Arizona, USA

I smile sometimes when I hear cabinet drop! There are a couple steel guitars that have so called cabinet drop. By taking a look at the other components (not the cabinet) you can see just that,some steels have ruined material in key places. I found many years ago while running an engineering department that many times THE PROBLEM is a result of other symptoms. This in deed one of those cases.

Ten or more years ago I pointed this out to a great steel player and was told that it had to be the cabinet flexing. I simple changed the subject. Later I found that same guy had little of no mechanical abilities or "common sense". But I still wish I could play like he plays.

I just build seats.

Glad this subject came up on the forum.

Joe Naylor
www.steelseat.com.
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Joe Naylor, Avondale, AZ (Phoenix) Announcer/Emcee owner www.steelseat.com *** OFFERING SEATS AND Effects cases with or without legs and other stuff ****** -Desert Rose Guitar S-10, Life Member of the Arizona Carport Pickers Assoc., Southwest Steel Guitar Assoc., Texas Steel Guitar Assoc., GA Steel Guitar Assoc., KS Steel Guitar Assoc. (Asleep at the Steel) tag line willed to me by a close late friend RIP

Clyde Lane · From: Glasgow, Kentucky, USA

Many years ago I was an inspector in a factory that used large electric motors (up to 1100 H.P.). One of my jobs was to check the run out (wobble) at the end of the shaft. The shaft was approx. 3" in dia. and about 12" long. With a dial indicator set-up I could move the needle by putting my hand on the shaft. If I pressed down hard on the shaft the needle would move a lot.
_________________
Clyde Lane

Stephen Williams · From: from Wales now in Berkeley,Ca, USA

@ Tom, no it's a formula for a udl (uniformly distributed load).

Well I used this size axle in my previous home-build and it seemed to work fine. There was cabinet drop but not a whole lot to my ears. It was prob shaft bending. I like the idea of a centre support so i'll either go with 3/8" dia. shaft or a centre support on build #2.

@ Ross, when I'm up your way i'll def give you a shout. thanks for the thought.

Stephen Williams · From: from Wales now in Berkeley,Ca, USA

@ Erv, practicing psi? or psg? ha ha

@ Georg, You tested with smoke and mirrors you say? Not sure if that will come off as very scientific even though it is. ha ha. You mentioned modification.....was this the photo you posted? Of extra supprt for axle?

Georg Sørtun · From: Mandal, Agder, Norway

"Light and mirrors" - like a large-scale version of an old deflection-measuring instrument only that I put mirrors on half-a-dozen points at a time to see how the reacted together as tension changed.
Adding smoke could have been seen as a bonus... Laughing

That "extra support" runs the entire length of the neck, because it is the neck. One solid piece of laminated aluminum floating clear of the sound-board, 1.18in thick where the steel-pillows are, and .787in thick from there to the nut-rollers. No connection to the body near the changer - first screws are under the 11th fret and then two more under 3d fret.

Further description here...
http://www.gunlaug.no/msc/smc-090617.html

Stephen Williams · From: from Wales now in Berkeley,Ca, USA

super interesting Georg. Would you say the vibrations from the strings/changer only enters the body at the 4 screw points then? Changer stops are independent of wood body?

Georg Sørtun · From: Mandal, Agder, Norway

Rich Gardner · From: Columbus, Ohio, USA

richard burton · From: Britain

Erv Niehaus · From: Litchfield, MN, USA

A true study in paralysis by analysis. Whoa!

Tom Gorr · From: Three Hills, Alberta

I think it is a legitimate endeavour for a pedal steel manufacturer.

The numbers seem to be coming out around the yield stress for steel.

Erv Niehaus · From: Litchfield, MN, USA

Titanium or bust! Whoa!

Georg Sørtun · From: Mandal, Agder, Norway

Tom Gorr · From: Three Hills, Alberta

Was just thinking you need to use Mohrs stress circle to first establish maximum sheer stress...

eg.. the stress caused by moment is a different plane than yield stress.

I used to be able to do this stuff in my sleep. .. 30 years ago

Erv Niehaus · From: Litchfield, MN, USA

Georg,
If we're nearing the stress point for steel, there's no question in my mind that what's needed is titanium for changer axles. You should know that! Rolling Eyes

Doug Hall · From: Alabama, USA

Oh goodee! I Love puzzles!

I wonder, though, if you might be making some unrealistic assumptions that'd throw off your calculations by a lot.

The nature of the load. distributed and discrete, and not a point load, and not a uniformly distributed load. You might want to consider summing up Wl calculations for each string.

But consider again what W and l are. W=25 pounds tension per string is way too convenient. Press a pedal and the tension might go to 32 pounds. (http://steelguitarforum.com/Forum5/HTML/012534.html) I'd think you need to use the max load. And there's more. What happens to the tension when you put a lateral load, as in a steel bar, on a string? Half a pound downward pressure will translate into surprisingly large linear forces.

You said the rod is 3.75", but that's not the l the formula requires.

And the string isn't in line with the axle, but is offset by the distance from where the string rests to the center of the axle. It may not seem like much, but consider the geometry. The string exerts a rotational torque on the finger that's countered by the finger stop. If that string rest on top is the same distance from the center of the axle as the finger stop is, the linear force on the axle would only be half of what it'd be if the force was instead aligned with the axle.

There are on-line tools for just about everything. Here's one for calculating bending moment. It'll give you a perfectly precise, but perfectly wrong, answer if your assumptions aren't correct: http://steelguitarforum.com/Forum5/HTML/012534.html

Enjoy!

Georg Sørtun · From: Mandal, Agder, Norway

For the changer axle there can be no compromise: either make it rigid enough all by itself so it doesn't "bow" under string tension, or add support along its length to the same effect. Should be no big deal, and probably isn't a problem on most PSGs - except on 12 and 14 strings PSGs with weak or no support.

To engineer in the necessary support to prevent the changer from being bended / twisted inwards by string tension and flex in its connections with varying tension, should also be easy enough. One just have to remember that most of a PSG's "tone" is made in this area, and having a mechanically stable but dead-sounding PSG isn't everyone's favorite.

The body itself is rarely ever the problem when "body drop" is noticed - the average PSG body doesn't flex much. It is almost always the parts where the strings are attached and pedal-pulls are applied, that are not attached well enough to the (pretty rigid) body to take up the variations in tension without moving.
Advice: look at connections between parts and the body, before blaming the body of not being rigid enough.

John Billings · From: Ohio, USA

My dear late friend James Morehead and I had some lengthy discussions about changer axle size years back. I had sold him my '59 Perm, and I had a Fingertip that I gotten from George King. James and I noticed that the axle sizes were larger than usual, and we wondered if this had any effect on how wonderful the guitars sounded. They were over 1/2 inch in diameter, 9/16s maybe? And the thicker axle also changed the mass of the changer fingers due to the larger hole. Makes me wonder?
RIP James!
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