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Converting Force Measurement to Pressure

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A zip-tie like structure squeezes an elastic part. I can measure a force that is related to the squeezing pressure. I need to create a calibrator that would allow me to correlate the force to the squeezing pressure. I have a zip-tie like structure, which when pulled, squeezes an elastic part. Think of it like a having a zip-tie around your finger. I can measure a force that is related to the squeezing pressure. This relationship between force and pressure is quite linear. I would now need to create a calibrator that would enable me to correlate between the measured force (N) to the pressure (Pa) that is imposed to the elastic part. The diameter of the zip-tie is about 22mm and it squeezes to about 17mm diameter. Now, I first started to think that I would have some inflatable balloon with fixed pressure. The zip tie wouldn't move when the pressures match. I would prefer to keep this calibrator relatively simple at first stage, so any crazy, easily built ideas are welcome ;-).

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Suppose you have a belt under tension T wrapped around a rigid cylinder of radius R. Let P be the normal force per unit area exerted by the cylinder on the belt. A force balance on the region of the belt between angular locations θ and θ+dθ gives PRdθw=Tdθ where w is the width of the belt from this it follows that P=TRw 

This post was modified 2 years ago by özgün
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