What Is the Maximum Length a Stainless Steel Wire Can Hang Without Deforming?

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SUMMARY

The maximum length a stainless steel wire can hang without deforming is 10,434.78 feet. This conclusion is based on the yield stress of 35 ksi and the modulus of elasticity (E) of 28 Mpsi. The calculations involve determining the strain (ε) using the formula ε = σ/E, leading to a derived length (L) of 800ΔL. The discussion highlights the importance of understanding material properties and their implications in structural applications.

PREREQUISITES
  • Understanding of material properties such as yield stress and modulus of elasticity.
  • Familiarity with basic mechanics of materials concepts.
  • Knowledge of strain and stress calculations.
  • Ability to manipulate equations related to deformation and length changes.
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  • Research the properties of stainless steel alloys and their applications in engineering.
  • Learn about the mechanics of materials, focusing on stress-strain relationships.
  • Explore advanced topics in structural analysis, including buckling and stability of long columns.
  • Investigate the effects of different loads and environmental factors on material deformation.
USEFUL FOR

Engineering students, materials scientists, and professionals involved in structural design and analysis will benefit from this discussion, particularly those focused on the mechanical properties of materials and their practical applications.

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Homework Statement



A long cylindrical wire of stainless steel alloy hangs vertically, supporting only its own weight. What is the maximum length the wire can have without experiencing plastic deformation?

E = 28 Mpsi
Density = 483 lb/(ft^3)
Yield Stress 35 ksi


Homework Equations



ε = σ/E, where E = modulus

ε = ΔL / L

ΔL = FL/AE


The Attempt at a Solution



I did ε = σ / E = 0.00125. σ is the Yield Stress

Then I used this equation: ε = ΔL / L and hence I got L = 800ΔL

But I am stuck here - totally stuck! :o


Please help! :) I have spent a long time on this!

Thanks!
 
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Problem resolved. Answers.yahoo guys solved it. I don't know how to delete this....:)

Thanks to all those who read this though! :)

PS: Answer is 10434.78 ft, if someone comes and is looking for answer to this question and stumbles upon this webpage! :D
 

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