How to Compute Poisson Ratio Correctly?

In summary, Poisson ratio in computing is a measure of a material's deformation in response to an external force. It is calculated by dividing the transverse strain by the axial strain and typically falls between 0 and 0.5, with most materials having a value between 0.2 and 0.4. This ratio affects the behavior of materials by determining how they will deform under an applied load, and is an important factor in engineering and design as it helps predict a material's behavior and can be used in determining stability and strength of structures.
  • #1
buxZED
12
0
question

A ciclindrical metal specimen 10 mm in diameter is stressed elastically in tension. A force of 15000 N produces a reduction in diameter of 0.007 mm. Compute Poisson ratio if its elastic modulus is 100 GPa

my attempt

D original = 0.01m
change in D = 0.000007m
F=15000N
E= 100*10^9

V = passonse ratio = (change in D/D original)/(change in L/ L original)

we can replace (change in L/ L original) by (stress/E)

so

V=(change in D/D original)/(stress/E)

(change in D/D original) = (0.000007/0.01)
(stress/E) = (F/Area)/E
A= pi(0.01/2)^2

that gives me an answer of V = 0.21



but the tutorial sheet says the answer is 0.33

can you explain where i have gone wrong
 
Last edited:
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  • #2
any one?
 
  • #3
The procedure looks OK to me. Maybe an error in computations.
 

Related to How to Compute Poisson Ratio Correctly?

1) What is Poisson ratio in computing?

Poisson ratio in computing is a measure of the deformation of a material in response to an applied force. It is the ratio of the lateral strain to the axial strain when a material is subjected to an external load.

2) How is Poisson ratio calculated?

Poisson ratio is calculated by dividing the transverse strain (or lateral strain) by the axial strain. This can be represented by the formula ν = -εy/εx, where ν is the Poisson ratio, εy is the transverse strain, and εx is the axial strain.

3) What is a typical range for Poisson ratio?

The typical range for Poisson ratio is between 0 and 0.5, with most materials having a value between 0.2 and 0.4. However, some materials, such as rubber, can have a negative Poisson ratio.

4) How does Poisson ratio affect the behavior of materials?

Poisson ratio affects the behavior of materials by determining how they will deform under an applied load. Materials with a high Poisson ratio will tend to expand in the lateral direction when compressed, while materials with a low Poisson ratio will tend to contract in the lateral direction.

5) How is Poisson ratio used in engineering and design?

Poisson ratio is an important factor in engineering and design, as it can help predict how a material will behave under different types of loading. It is also used in determining the stability and strength of structures, and in the design of materials for specific applications.

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