Find out the Minimum Diameter Wire for a 176.00N Sign

AI Thread Summary
To determine the minimum diameter of a brass wire supporting a 176.00N sign, one must consider the yield strength of the material, which is 4.75×10^8 Pa. The stress in the wire can be calculated using the formula stress = force/area. To find the required area, the relationship involving Young's modulus and the change in length is relevant, but the change in length is not needed for this specific calculation. The key is to rearrange the stress equation to solve for the area and subsequently the diameter of the wire. Understanding these concepts is crucial for solving the problem effectively.
SnowOwl18
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This one is confusing me:

-----The yield strength of a material is the largest stress a material can support without permanently elongating (like a slinky stretched too far). A brass wire 2.10m long is to support a 176.00N "Eat At Joe's" sign without permanently elongating. The wire is made of a variety of yellow cold-rolled brass that has a yield strength of 4.75×108Pa. What minimum diameter wire is called for?----

I'm not sure what type of equation I could use to solve this problem...I'm just kinda lost. Any guidance would be awesome. Thanks :)
 
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You could start by thinking about normal stresses in the wire (which in this case behaves as a rod), with respect to yield strength information about Hooke's law is handy in explaining the concept of the problem further (eat at Joe's sign ... someone has been creative ... :smile: ).
 
Surely they tought you what stress is before giving you problems like this ?

How is stress defined ?
 
Yes, my teacher is a creative one ;)

Stress and pressure are F/A. Someone was trying to help me with the problem and he said to use the equation : F/A = Yield (Delta L/ L initial)...sort of like the setup using Young's modulus. So I was trying to solve for area so that I could find the diameter of the wire, but I don't know what the change in length would be. Am I going about this correctly? Thanks for the help so far :)
 
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