Determining plain stress and plain strain

In summary, plain stress and plain strain refer to the internal forces and deformation of an object due to external forces. They are calculated by dividing the applied force by the cross-sectional area and the change in length by the original length, respectively. Plain stress is measured in units of pressure, while plain strain is unitless. Factors such as material properties and applied forces can affect the determination of plain stress and plain strain. It is important to determine these values in order to design structures and analyze the safety and durability of materials.
  • #1
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In a delta strain rosette problem if normal strains are given and asked to find the six components of stress and strain , is it considered as a plain stress or plain strain problem.??
 
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  • #2
I believe it is a plane stress or plane strain problem. Plain means unadorned.
 
  • #3
thank you
 
  • #4
but ,i think it is a plane stress problem.
 
  • #5


This would be considered a plain strain problem as the normal strains are given and the goal is to determine the components of both stress and strain. In a plain strain problem, the strains are assumed to be constant throughout the material, while in a plain stress problem, the stresses are assumed to be constant. Therefore, the given information points towards a plain strain problem. However, further clarification would be needed in order to fully determine the nature of the problem and any other relevant assumptions.
 

1. What is the difference between plain stress and plain strain?

Plain stress refers to the internal forces acting on an object due to external forces, while plain strain refers to the deformation or change in shape of an object due to those forces.

2. How do you calculate plain stress and plain strain?

Plain stress is calculated by dividing the force applied on an object by its cross-sectional area, while plain strain is calculated by dividing the change in length of an object by its original length.

3. What are the units for plain stress and plain strain?

Plain stress is typically measured in units of pressure, such as Pascals (Pa) or pounds per square inch (psi). Plain strain is a unitless measurement, as it is the ratio of two lengths.

4. What factors can affect the determination of plain stress and plain strain?

The material properties, such as elasticity and strength, of the object being tested can affect the determination of plain stress and plain strain. Additionally, the magnitude and direction of the applied forces can also impact the results.

5. Why is it important to determine plain stress and plain strain?

Determining plain stress and plain strain can help engineers and scientists understand how materials behave under external forces, allowing them to design structures and objects that can withstand these forces. It is also essential in analyzing the safety and durability of various materials and structures.

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