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

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Poisson's ratio is crucial for understanding the relationship between longitudinal and lateral strains in materials. The discussion highlights the calculation of longitudinal strain as 0.4mm and questions whether lateral strain is directly proportional to it. To determine Poisson's ratio, which is essential for calculating bulk modulus and Young's modulus, the relationship between these strains must be established. The participant also notes that shear modulus has been calculated as 0.37, emphasizing that strain is dimensionless. Understanding these concepts is vital for accurately calculating stress using the formula stress = E * strain.
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.
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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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