Find out the Minimum Diameter Wire for a 176.00N Sign

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Homework Help Overview

The problem involves determining the minimum diameter of a brass wire required to support a sign weighing 176.00N, considering the yield strength of the material. The subject area includes mechanics and material science, particularly focusing on stress and strain concepts.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the concept of stress and its relation to yield strength, with some suggesting the use of equations related to Hooke's law and Young's modulus. Questions are raised about how to approach the problem, particularly regarding the definition of stress and the necessary parameters for calculations.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some have provided guidance on relevant concepts, while others are questioning the assumptions and definitions involved in the calculations. There is no explicit consensus yet, as participants are still clarifying their understanding.

Contextual Notes

There is uncertainty regarding the change in length of the wire, which is critical for solving the problem. Participants are also navigating the constraints of the homework assignment and the definitions provided by their instructor.

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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