How to find Poisson's ratio?

In summary, the conversation discusses the use of a rosette gauge to calculate the Poisson's ratio for a steel pressure vessel. It is suggested to measure the thickness of the wall as it is stretched, rather than changes in surface. The measurements indicate that the material is stretching more along the axis of B, which can be expected due to the internal pressure on the container. The hemispherical structures at the ends also accommodate the expansion of the tank along its circumference.
  • #1
theone
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Homework Statement


I have some strain readings using a rosette gauge, but I want to know how to calculate the poissons ratio for the steel pressure vessel

Homework Equations

The Attempt at a Solution


I tried Strain A/Strain B and got an average value of 0.4.
But the provided value for steel is around 0.29
 

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  • #2
http://en.wikipedia.org/wiki/Poisson's_ratio

It is not clear that your strain gauges are measuring the right thing. Indeed, from the diagram it is not clear what they are measuring at all.

But basically, you want to be measuring the thickness of the wall as a function of the wall being stretched. The diagram seems to be showing that you are measuring changes of the surface, and not measuring changes in the thickness.

The tank may be stretching circumferentially much more than axially. If it is much longer than its radius this is likely to be true. A little bit of geometry should give you a fair estimate of the relative forces and the relative amount of material that is stretching.
 
  • #3
The measurements indicates that the material is stretching much more along the axis
of B, which is to be expected since the internal pressure on the container is pushing
the walls outwards. The hemispherical structures at the ends also accommodates the
expansion of the tank along its circumference.
 

1. What is Poisson's ratio and why is it important?

Poisson's ratio is a measure of the ratio between the lateral and axial strain of a material when it is subjected to stress. It is important because it helps determine the mechanical properties and behavior of a material under different types of stress, such as tension or compression.

2. How do I calculate Poisson's ratio?

Poisson's ratio can be calculated by dividing the lateral strain by the axial strain. This can be done using data from a stress-strain curve or by performing experiments to measure the strains directly.

3. What is a typical range for Poisson's ratio?

The typical range for Poisson's ratio is between 0 and 0.5. Most materials have a Poisson's ratio between 0.2 and 0.4, with some exceptions such as rubber which can have a negative Poisson's ratio.

4. How does temperature affect Poisson's ratio?

Temperature can affect Poisson's ratio by changing the molecular structure and arrangement of a material. In general, an increase in temperature can cause a decrease in Poisson's ratio, while a decrease in temperature can cause an increase. However, this relationship can vary depending on the specific material.

5. What factors can influence the accuracy of Poisson's ratio measurements?

There are several factors that can influence the accuracy of Poisson's ratio measurements. These include the type of material, the method of measurement, the temperature and environmental conditions, and any external stresses or strains present during the measurement process. It is important to carefully control these factors to obtain accurate and reliable results.

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