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-----Relationship between the thickness of tissues and their height
Ok! Mine is not a question to the level of the real world, but at the same time it is not of very less importance. I am doing a project on which I want to publish a paper in which I want to relate (mathematical equation) height and thickness of a tissue. My project is totally based on this equation. If I get through nothing like it. It is a challenge for me........and from now it is the challenge for you people too.
Bye,
Sushil P [surname deleted for privacy by Editor]- Bombay, Maharashtra, India
Hi, Sushil
If one imagined a small stack of a half dozen tissues, they would be light and fluffy and airy. However, if one pictured a stack as tall as a skyscraper, the bottom-most tissues would be compressed under a huge amount of weight and would certainly no longer be fluffy but would be smashed into each other extremely tightly with no air left. In fact, the weight upon them would perhaps be so extreme that the tissues would be ripped apart under the weight. The height contribution of each tissue in such a case would be far smaller than when there is little weight on them.
To get an equation for your calculation, I think you would need to actually measure the height of a stack of tissues compressed by varying weights and come up with an empirical formula involving something similar to a "spring constant". However, I don't think it would actually be a constant, but a relationship better approximated with at least a second order or third order relationship between the force applied and the consequent height of the stack. Obviously the formula would be asymptotic because there is no amount of force that can reduce the thickness of the stack to zero. Curve-fitting software is simple and inexpensive that will give you a usable formula based on the force vs. height points that you feed in. Good luck.
Regards,
Ted Mooney, P.E.
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