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- TL;DR Summary
- I’m working with a continuous elastic loop and trying to relate measured tensile force in a test rig to the surface pressure it would apply when fitted around a cylinder.
Scenario 1 (figure 1)
A continuous loop of elastic material is stretched around two metal bars. The top bar is attached to a load cell that reads force. The lower bar can be moved downwards to stretch the elastic material.
The lower bar is moved downwards until the two bars are 1190mm apart, stretching the elastic material. The bars are 5mm thick, so the total internal loop length is 1200mm (1190mm + 5mm + 5mm).
At this level of stretch, the load cell reads 45N tensile force.
Key numbers
Elastic material width: 250mm
Distance between bars: 1190mm
Bar thickness: 5mm
Elastic material internal loop length: 1200mm
Elastic material thickness: 2mm
Reactionary force: 45N
Scenario 2 (figure 2)
The same continuous loop of elastic material is now stretched around a cylinder that has a circumference of 1200mm. This is the same level of stretch as in scenario 1.
The question!
What is the pressure exerted by the elastic material against the surface of the cylinder in figure 2, and why?
(Assume no effects of friction and assume the material is not permanently deformed.)
A continuous loop of elastic material is stretched around two metal bars. The top bar is attached to a load cell that reads force. The lower bar can be moved downwards to stretch the elastic material.
The lower bar is moved downwards until the two bars are 1190mm apart, stretching the elastic material. The bars are 5mm thick, so the total internal loop length is 1200mm (1190mm + 5mm + 5mm).
At this level of stretch, the load cell reads 45N tensile force.
Key numbers
Elastic material width: 250mm
Distance between bars: 1190mm
Bar thickness: 5mm
Elastic material internal loop length: 1200mm
Elastic material thickness: 2mm
Reactionary force: 45N
Scenario 2 (figure 2)
The same continuous loop of elastic material is now stretched around a cylinder that has a circumference of 1200mm. This is the same level of stretch as in scenario 1.
The question!
What is the pressure exerted by the elastic material against the surface of the cylinder in figure 2, and why?
(Assume no effects of friction and assume the material is not permanently deformed.)
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