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Ken/Ted: I am feeling like continuing this bent laminate discussion in this new “spin off”. Hey Ken, theres a new word for your list,”spin”.
Let my convey a more refined view of what I think is going on here.
I believe we are all in agreement about how we only bend the “surface of a laminate to get it to incline around a cylinder.
This theoretical surface has zero thickness, and I am saying as such, requires no “twisting” or “bending” force to bend it. It bends around this cylinder with zero “bending” and zero “twisting” force applied no matter if it is being bent across its width, or any other longer acute path.
Now if we are dealing with a laminate, we are dealing not only one surface, but now have to contend with a parallel surface that is a finite distance away from the first.
I am saying that these two surfaces now must have “twisting force” applied, and also “bending” force, to get this laminate to incline around a cylinder.
The “bending” force is necessary to compress the inner surface of the laminate, and stretch the outer surface of the laminate. These two surfaces are directly tied to each other, and compression and tension forces are occuring on their respective surfaces. This requires bending force that we feel as we push this laminate to the cylinder.
This “twisting” force is necessary because, as Ted so well stated, is like a shallow box being racked as it is inclining around a cylinder. This can also be felt as we now must apply twisting force to cause this laminate to bend across a wider cross section than it wants to bend across.
This causes a change in pitch of these two faces and is thus in the strictest sense “twisting” this laminate to get it to incline around a cylinder.
Again, if this box were at a zero depth, so that we are now just bending a surface, then we are only bending it with no force, bending or twisting, necessary.
I find this discussion most interesting. Please critique, add to it, or simply disregard if this horse has been beat on to much. It seems though. this horse keeps raising its head and starts kicking.
Replies
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Ken/Ted: I am feeling like continuing this bent laminate discussion in this new "spin off". Hey Ken, theres a new word for your list,"spin".
Let my convey a more refined view of what I think is going on here.
I believe we are all in agreement about how we only bend the "surface of a laminate to get it to incline around a cylinder.
This theoretical surface has zero thickness, and I am saying as such, requires no "twisting" or "bending" force to bend it. It bends around this cylinder with zero "bending" and zero "twisting" force applied no matter if it is being bent across its width, or any other longer acute path.
Now if we are dealing with a laminate, we are dealing not only one surface, but now have to contend with a parallel surface that is a finite distance away from the first.
I am saying that these two surfaces now must have "twisting force" applied, and also "bending" force, to get this laminate to incline around a cylinder.
The "bending" force is necessary to compress the inner surface of the laminate, and stretch the outer surface of the laminate. These two surfaces are directly tied to each other, and compression and tension forces are occuring on their respective surfaces. This requires bending force that we feel as we push this laminate to the cylinder.
This "twisting" force is necessary because, as Ted so well stated, is like a shallow box being racked as it is inclining around a cylinder. This can also be felt as we now must apply twisting force to cause this laminate to bend across a wider cross section than it wants to bend across.
This causes a change in pitch of these two faces and is thus in the strictest sense "twisting" this laminate to get it to incline around a cylinder.
Again, if this box were at a zero depth, so that we are now just bending a surface, then we are only bending it with no force, bending or twisting, necessary.
I find this discussion most interesting. Please critique, add to it, or simply disregard if this horse has been beat on to much. It seems though. this horse keeps raising its head and starts kicking.