Plane Stress: Understanding 2D Stress in Thin Objects

In summary, plane stress refers to a two-dimensional state of stress in thin objects where stress is acting in the x and y directions only. This is different from other types of stress and is commonly used in engineering and design fields to analyze thin objects. Plane stress can be calculated using equations of equilibrium and constitutive equations, but it has limitations in its applicability to thicker objects and its assumptions about the material being analyzed.
  • #1
chetzread
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Homework Statement


my notes gave that in a 3d cubic , plane stress is state of stress in which two surfaces are free of stress ...

Homework Equations

The Attempt at a Solution


Does it mean the we only consider the stresses in xy plane only ? because the object is too thin, so we assume it's 2 dimensional only ?
 

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if so , the statement in the notes should be rewrite as 4 surfaces of cubic element is free of stress , right ? Since we only consider the stresses in 2 planes out of 6 planes , right ?
 

Related to Plane Stress: Understanding 2D Stress in Thin Objects

1. What is plane stress?

Plane stress refers to a state of stress in a thin object where the stress is acting in only two dimensions, typically the x and y directions. This means that there is no stress acting in the z direction, resulting in a flat, two-dimensional stress state.

2. How is plane stress different from other types of stress?

Plane stress is different from other types of stress, such as 3D stress, because it only considers stresses in two dimensions. This simplifies the stress analysis process and is often used for thin objects, such as plates or sheets.

3. What are some common applications of plane stress analysis?

Plane stress analysis is commonly used in engineering and design fields to analyze the stress and strain in thin objects, such as aircraft wings, bridges, and electronic components. It can also be used to predict failure or deformation in these objects.

4. How is plane stress calculated?

Plane stress can be calculated using the equations of equilibrium and constitutive equations, which relate stress and strain. These calculations can be done by hand or with the help of computer software.

5. What are the limitations of plane stress analysis?

Plane stress analysis is only applicable to thin objects and cannot accurately predict stresses in thicker objects. It also does not take into account the effects of stress in the z direction, which may be significant in some cases. Additionally, it assumes that the material being analyzed is linearly elastic, which may not always be the case.

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