Calculating the force at a single point of contact

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SUMMARY

The discussion focuses on calculating the force that a 0.5 mm diameter isa-chrome60 wire can withstand when subjected to a 2 N force from a nylon wire. The tensile strength of the chrome wire is established at 600 N/mm², leading to a calculated tensile capacity of approximately 118 N based on its cross-sectional area of 0.196 mm². This indicates that the chrome wire can easily support the 2 N force, which is equivalent to 200 grams, and is unlikely to fail under these conditions. However, there is a possibility that the chrome wire may cut through the nylon fishing line under certain circumstances.

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  • Understanding of tensile strength and its calculation
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  • Basic knowledge of material properties, specifically for metals and polymers
  • Concepts of force and tension in mechanical systems
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hamzaaaa
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Hi all

May be someone can help me with this problem.

There is a isa-chrome60 wire (d=0.5 mm, tensile strength=600 N/mm^2) which is held at both ends using end connectors ( length of the wire = 20mm). And there is a nylon wire (d=0.5 mm) which is under tension (because of torsion spring) and it is held by chrome wire at a single point. Say the force acting on the fishing line is 2 N. I would like to know if it would be possible to know that the chrome wire could withstand this much of force or not?
Is there any mathematical way to do that?

Thanks in advance.
 
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There is a isa-chrome60 wire (d=0.5 mm, tensile strength=600 N/mm^2) which is held at both ends using end connectors ( length of the wire = 20mm). And there is a nylon wire (d=0.5 mm) which is under tension (because of torsion spring) and it is held by chrome wire at a single point.

Just on those figures,
the cross sectional area of the chrome wire is pi * .25 * .25 = 0.196 sq mm
So the tensile strength should be 600 * 0.196 or 118 N
This is about the weight of 11 Kg.

2 N is about the weight of 200 grams.

So, yes the wire should easily hold the fishing line in a straight line and even applying a force at almost right angles is more likely to break the fishing line than the wire.

As we discussed elsewhere, the wire may cut the fishing line, though.
 
Thanks again vk6kro..
I had done similar calculations, but wanted to confirm if it was the right way. I thought some tensor matrix might get involved.

Thanks and Regards
 

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