Calculating Poisson's Ratio with a Modulus of Rigidity & Young's Modulus

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SUMMARY

The discussion focuses on calculating Poisson's Ratio using a modulus of rigidity (G) of 100 GNm-2 and a Young's Modulus (E) of 250 GNm-2. The relationship between these properties is established through the formula for isotropic materials, which is commonly found in strength of materials textbooks. The relevant formula is not explicitly provided in the discussion but can be referenced in educational materials, such as the linked document from the University of Colorado.

PREREQUISITES
  • Understanding of Young's Modulus (E) and Modulus of Rigidity (G)
  • Familiarity with Poisson's Ratio and its definition
  • Basic knowledge of isotropic material properties
  • Access to strength of materials textbooks or academic resources
NEXT STEPS
  • Review the relationship between Young's Modulus, Modulus of Rigidity, and Poisson's Ratio in isotropic materials
  • Study the derivation of the formula relating E, G, and Poisson's Ratio
  • Examine practical examples of calculating Poisson's Ratio in engineering contexts
  • Access and analyze the provided educational material from the University of Colorado
USEFUL FOR

Students and professionals in materials science, mechanical engineering, and civil engineering who need to understand the relationships between material properties and perform calculations involving Poisson's Ratio.

mattjones
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Hi, I'm wondering if someone can point me in the right direction with this question.

A material has a modulus of rigidity of 100 GNm-2 and a Young's Modulus of 250 GNm-2. Calculate the expected value of Poisson's Ratio for the material.

Poisson's Ratio is expressed as transverse strain / axial strain

So how am I supposed to work this out when the only information I am given is what's above? Or am I misunderstanding the question?

Any help would be appreciated

Thanks

Matt
 
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mattjones said:
Hi, I'm wondering if someone can point me in the right direction with this question.

A material has a modulus of rigidity of 100 GNm-2 and a Young's Modulus of 250 GNm-2. Calculate the expected value of Poisson's Ratio for the material.

Poisson's Ratio is expressed as transverse strain / axial strain

So how am I supposed to work this out when the only information I am given is what's above? Or am I misunderstanding the question?

Any help would be appreciated

Thanks

Matt

For isotropic materials, there is a formula which relates E, G, and poisson's ratio. It's in just about every strength of materials text ever published.

For a quick refresher, look at this attachment:

http://www.colorado.edu/engineering/CAS/courses.d/Structures.d/IAST.Lect05.d/IAST.Lect05.pdf

Check out pp. 7 & 8.
 
Thanks very much for that, I'll get reading!
 

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