Principle stress states question, anyone help?

In summary, Neutron diffraction is used to measure the residual strains near a weld in an aluminium plate with a Young's modulus of 70GPa and a Poisson's ratio of 0.3. The three principal strains obtained are ε1=2400 με, ε2=0με, and ε3=-350με. The values of sigma1 and sigma2 are approximately 212MPa and 83MPa, respectively.
  • #1
scw1
8
0
Principle stress states question, anyone help??

Homework Statement


Neutron diffraction is used to measure the residual strains near to a weld in an aluminium plate. The aluminium has a young’s modulus E of 70GPa and a poisons ratio of 0.3. The three principal strains obtained are ε1= 2400 με ε2=0με ε3=-350με. What are the values of sigma 1 and sigma 2?


Homework Equations



Plane stress and strane equations

The Attempt at a Solution


Got an answer of an answer near to 212MPa and 83MPa
but not sure if its right
 
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  • #2
[strike]Your current answer looks incorrect. Try again.[/strike]
 
Last edited:
  • #3


nvn said:
Your current answer looks incorrect. Try again.

Hi there the sigma2 must be 83MPa? its all i keep getting
Many thanks
Stevo
 
  • #4
My apologies, scw1. Your answer was right. Nice work. However, generally always round your final answer to three significant digits, not two significant digits. You rounded slightly too much. Also, you misspelled principal and strain, and omitted all punctuation.
 
  • #5


The principle stress states question refers to the calculation of the two principle stresses (sigma 1 and sigma 2) based on the given principal strains obtained from neutron diffraction. It appears that the person asking for help has attempted to solve the problem and has come up with an answer, but is unsure if it is correct.

To verify the solution, the person could compare their answer to the equations for plane stress and strain, which relate the principle stresses and strains to the Young's modulus and Poisson's ratio. They could also double check their calculations and make sure they are using the correct units. If there are still doubts, they could seek assistance from a colleague or a teacher.
 

Related to Principle stress states question, anyone help?

1. What is the definition of principle stress states?

The principle stress states refer to the maximum and minimum stresses experienced by a material at a specific point. These stresses are perpendicular to each other, and the maximum stress is known as the principal stress, while the minimum stress is called the shear stress.

2. How are principle stress states calculated?

The principle stress states can be calculated using the formula σ1=(σx+σy)/2 ± √[(σx-σy)/2]^2 + τxy^2, where σ1 is the principal stress, σx and σy are the normal stresses, and τxy is the shear stress.

3. What is the significance of principle stress states in materials?

The principle stress states are crucial in determining the strength and failure of a material. They help engineers and scientists understand how a material will behave under different loading conditions and can be used to design safer and more efficient structures.

4. Can principle stress states be negative?

Yes, principle stress states can be both positive and negative. Positive stresses indicate tensile stress, while negative stresses indicate compressive stress. A material can experience both types of stresses at different points, depending on the loading conditions.

5. How do principle stress states affect the failure of a material?

The principle stress states play a significant role in determining when a material will fail. If the maximum stress (or principal stress) exceeds the ultimate strength of the material, it will fail. Understanding the principle stress states can help engineers design structures that can withstand expected loading conditions without failing.

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