Deformation under eccentric shear stress

In summary, a shear force will generate bending in a body, as seen in the attached document. The shear deformation can be related to the extension deformation, but the two will result in different forces and compliance matrices. The shear force will cause the material to bend and twist, while the extension force primarily causes lengthening.
  • #1
wazy
1
0
Hi,
Starting with an example to clarify what I am looking for. Assume an extension force applied on a distance from the centroid/neutral axis of a body: see attached, please. As result, bending force besides the tensile force will be generated in that body as presented in section A-A in the attached.
The compliance matrix can be calculated for such case relating the forces and deformations.

Similar case but under shear force, what is the difference in the deformation, generating forces, and the compliance matrix?

Does the shear generate bending as expected?
Could the shear deformation be related to the extension deformation in the example above?
Thanks

<< Mentor Note -- added PDF copy of the OP's Word document >>
 

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  • #2
Yes, a shear force will generate bending in the body. The shear deformation can be related to the extension deformation in the example above. The difference between the two is that the shear force generates a different kind of deformation than the extension force. In the case of the extension force, the deformation is primarily a lengthening of the material, while the shear force will cause the material to bend and twist. This will result in different forces being generated and also a different compliance matrix.
 

What is deformation under eccentric shear stress?

Deformation under eccentric shear stress refers to the change in shape or size of a material when it is subjected to a force that causes one side of the material to be stretched or compressed more than the other side. This type of deformation occurs when the applied force is not evenly distributed across the material's cross-section.

How does deformation under eccentric shear stress differ from other types of deformation?

Deformation under eccentric shear stress differs from other types of deformation, such as tensile or compressive deformation, because it involves both shear and normal stress components. This means that the material is not only being stretched or compressed, but also experiencing a twisting or sliding motion.

What factors can affect the amount of deformation under eccentric shear stress?

The amount of deformation under eccentric shear stress can be influenced by several factors, including the magnitude and direction of the applied force, the shape and size of the material, and the material's mechanical properties such as elasticity and yield strength.

What are some real-world applications of deformation under eccentric shear stress?

Deformation under eccentric shear stress is commonly observed in structural engineering, particularly in the design of beams and columns. It is also relevant in the study of fluid mechanics, as it can occur in the flow of non-Newtonian fluids.

How is deformation under eccentric shear stress measured and analyzed?

Deformation under eccentric shear stress can be measured using strain gauges or other types of sensors that can detect changes in the material's shape or size. It can also be analyzed using mathematical models and simulations, as well as experimental testing to determine the material's response to different types of loading conditions.

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