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Trying2Learn
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- Stress sign conventions in engineering
(I admit this might be better in the mechanical engineering forum, but let me ask, and the moderator can decide)
What is a "convention?"
For example, in elasticity, we have a stress tensor. If a coordinate axis is in one direction, positive, we state the the convention is that the stress is positive outward on that face.
If we modeled tractions on a cube, where the normal to the face, is in the negative diretion, then the Traction also points in the negative, but we call it positive.
(I do not wish to argue or discuss that issue as relates to engineering.)
I want to know what a "convention" means (and I am not entirely sure I am asking it the right way).
Essentially, we arrive at a point, in the purity of mathematical analysis, and then must adopt a rule, that is "external" to our brain.
Ah ha! I DO have another example: using the right hand rule to create frames and to ensure consistency with, say, the cross product.
There, again, we adopt a right hand rule. We arrive at a point in math IN OUR BRAIN, but adopt a rule WE SEE IN THE WORLD, e.g.: when we turn a screw driver or insert a lightbulb.
Could someone please expound on this "singular moment" in the evolution of disciplines?
What is happening at the moment when we adopt a convention?
In other words, the word "convention" is one I now accept, blindly. How would you explain what we are doing, without using the word "convention?" I do NOT mind (in fact, I welcome it), if this evolves into a discussion on epistemology
What is a "convention?"
For example, in elasticity, we have a stress tensor. If a coordinate axis is in one direction, positive, we state the the convention is that the stress is positive outward on that face.
If we modeled tractions on a cube, where the normal to the face, is in the negative diretion, then the Traction also points in the negative, but we call it positive.
(I do not wish to argue or discuss that issue as relates to engineering.)
I want to know what a "convention" means (and I am not entirely sure I am asking it the right way).
Essentially, we arrive at a point, in the purity of mathematical analysis, and then must adopt a rule, that is "external" to our brain.
Ah ha! I DO have another example: using the right hand rule to create frames and to ensure consistency with, say, the cross product.
There, again, we adopt a right hand rule. We arrive at a point in math IN OUR BRAIN, but adopt a rule WE SEE IN THE WORLD, e.g.: when we turn a screw driver or insert a lightbulb.
Could someone please expound on this "singular moment" in the evolution of disciplines?
What is happening at the moment when we adopt a convention?
In other words, the word "convention" is one I now accept, blindly. How would you explain what we are doing, without using the word "convention?" I do NOT mind (in fact, I welcome it), if this evolves into a discussion on epistemology
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