What is Poisson's ratio and how does it relate to stress and strain?

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SUMMARY

Poisson's ratio is a critical parameter in understanding the relationship between longitudinal and lateral strain in materials. The discussion highlights the calculation of longitudinal strain as 0.4 mm and emphasizes the need to determine lateral strain to compute Poisson's ratio. This value is essential for further calculations involving Bulk modulus and Young's modulus, which are foundational in stress analysis. The Shear modulus is noted to be 0.37, reinforcing the importance of these mechanical properties in engineering applications.

PREREQUISITES
  • Understanding of longitudinal and lateral strain concepts
  • Familiarity with Poisson's ratio and its significance in material science
  • Knowledge of Bulk modulus and Young's modulus calculations
  • Basic principles of engineering stress and strain measurement
NEXT STEPS
  • Research the calculation methods for Poisson's ratio in various materials
  • Study the relationship between Bulk modulus and Young's modulus in elastic materials
  • Explore the implications of Shear modulus in material deformation
  • Learn about the applications of stress-strain curves in engineering design
USEFUL FOR

Material scientists, mechanical engineers, and students studying mechanics of materials will benefit from this discussion, particularly those focused on stress analysis and material properties.

joemte
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Homework Statement
A tensile test is performed on a 10mm thick sample of nylon with a width of 20mm. The sample was tested to fracture and had a total length of 94mm (original 90mm) at 33kN. Calculate the stress at the point of failure.
Relevant Equations
none.
I'm working through the equations and I have a lot of information missing. I have calculated the longitudinal strain to be 0.4mm (4/90)

is the lateral strain directly proportional to the longitudinal strain? As I need to work out poisson's ratio in order to calculate Bulk modulus, then youngs modulus, then finally stress (stress= E * stain)

I have calculated Shear modulus to be 0.37
 
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Strain is dimensionless (change in length) ÷ (original length). If it is Engineering Stress, the original cross-sectional area is used.
 

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