Okay. Too many to comment on?
I admit it's been 20 years since college and my terminology might not be perfect, but I'm curious to see where you think I screwed the proverbial pooch on it.
Okay, sure.
Nev375 said:
Problem is that a laminated beam runs the full length beyond the nodes where stress is induced, a neck joint on a bass does not,
OK
making things inherently weaker. (typically)
Disagree. The jointed can easily have greater strength than the surrounding area. In shaft fatigue cases, this bin fact becomes a problem due to stress concentrations just beyond the joint area.
In comparing the neck through, almost all the stress is applied axially, so for that stress, the neck acts like a column with the weakest point being the area of thinnest cross section. (near the nut)
True. But, I should mention that the analysis here has been about strength, which is not the proper object of analysis if we are considering the tone of neck-thru versus bolt-on; either design provides strength far exceeding that required to prevent failure under string-induced loading conditions.
However, since the force is applied from one side rather than the absolute ends, there is a small, but very significant bending stress applied from a pair of coupling nodes near each end. (nut and tuning post, and the front edge of the bridge and the screws that attach the bridge)
Yes
This stress makes the neck act like a beam with the weakest point again near the nut.
yes, but again, so what? no direct bearing on sustain or transient response of NT vs. BO
So, if the thing fails it will probably break the headstock off.
Empirically true only of necks with angled headstock and no scarf joint, resulting in short grain which, combined with the extreme anisotropy of wood, encourage a break. Other headstock joints (flat, angled scarfed) are not commonly affected by this problem. And again, no bearing on sustain of NT vs. BO.
Now, in a neck through, things are a lot more complicated to analyse because of the neck joint.
Disagree. The "joint" area, as complicated as it may be, is far simpler than the joint area of a BO. It consists of a profile thinning, followed (as we progress into the body) of the abrupt addition of body wings, with the core area maintaining the same wood properties as the neck shaft, less the fretboard of course.
By contrast, in a BO there is the highly complex transition area of two overlapping pieces of wood, brought into compression by metallic screws. These two woods nearly always have different properties. Then one of the two pies of wood abruptly flares out into a body, continuing that same, different wood from the neck shaft.
Here one would postulate that there could be a real difference in vibration transfer between the two. In the NT, while the body width suddenly pops up, the wood fibers are both non-changing in their nature, and continuous (uninterrupted), which is all the more significant because the speed of sound is around three times as fast longitudinally with the tree growth direction as it it is radially or tangentially. By contrast, vibrations in the BO joint are forced to travel through radial or tangential direction, and are further subjected to a differing woods boundary, which would partially act as a node of reflection and wavelength change, just happens with light at a boundary with differing indices of refraction.
There are too many variables and details in how the thing is constructed. The greater axial stress
What stress greater than what other stress?
is (usually) handled entirely by the butt of the neck heel against the edge of the pocket.
Not sure this is true. I've seen gap plenty of times. I think it's more accurate to portray the oint as a typical compression-clamped friction joint. Or perhaps it has characteristics of both types.
The bending stress is dependent on the wood fibers between the screw threads, the screws themselves and the distance and layout of the patten of the screws. The total stress will be divided by the number of screws with the greatest amount at either end of the pattern. Any middle screws will receive a lot less of that stress unless any excessive tightening is done there.
Agreed, but not seeing any direct implication for sustain of NT vs. BO.
What this means to "punch" is anyone's guess. There's just way too many variables in play,
Somewhat agreed, except that if we were first to come to an accepted definition of "punch" then there might be progress in analysis of what physical characteristics could enable it.
but I do know that the stiffer overall the instrument is between the nut and bridge the brighter and richer the sound.
Unfortunately, this is subject to controlled testing that has not to my knowledge been done, confirmation bias, and and wibbly-wobbly definitions of "richness," "brightness," etcetera. Also, no relationship is drawn to "punchiness of NT vs. BO," and so forth.
The weakest point of the structure will have the greatest impact on tone.
Disagree. For example, I put forth that I would expect that if the neck joint included a neck depth by neck width by 6" long steel block, it would likely have a large influence on the tone, despite it being the strongest part of the neck.
But, if done properly, a bolt on can be just as strong as a neck through.
Again, strength is not the issue here. Any neck is strong enough for string loading, not to mention that just about any headstock transition region except angled unscarfed mahogany is strong enough to with stand the additional loading of a drop.