Maximum shear stress on a given plane?

In summary, the maximum shear stress on the y-z face(plane) is the resultant of the orthogonal shear components Sxy and Sxz. It is not simply the greater of the two, nor is there one more transformation needed. This is because the maximum shear stress is a combination of both shear components acting on the plane.
  • #1
physicsdumby
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I want to know the maximum shear stress acting on the y-z face(plane). I already know all 6 stress components: Sxx, Syy, Szz, Sxy, Syz, Sxz. The shear components on the y-z face are Sxy and Sxz, which are orthogonal to each other. Is the maximum shear on this plane simply the greater of the two, or is there one more transformation needed?
 
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  • #2
physicsdumby said:
I want to know the maximum shear stress acting on the y-z face(plane). I already know all 6 stress components: Sxx, Syy, Szz, Sxy, Syz, Sxz. The shear components on the y-z face are Sxy and Sxz, which are orthogonal to each other. Is the maximum shear on this plane simply the greater of the two, or is there one more transformation needed?
Neither. It's the resultant of Sxy and Sxz.

Chet
 

Related to Maximum shear stress on a given plane?

What is maximum shear stress on a given plane?

Maximum shear stress on a given plane is the highest amount of stress that a material experiences when a force is applied parallel to that plane. It is also known as the critical shear stress.

How is maximum shear stress calculated?

Maximum shear stress is calculated by dividing the maximum shear force applied to a material by the area of the plane on which the force is acting. This can be represented as τ = F/A, where τ is the maximum shear stress, F is the applied shear force, and A is the area of the plane.

What factors affect the maximum shear stress on a given plane?

The maximum shear stress on a given plane is affected by the material properties, such as its yield strength and shear modulus, as well as the magnitude and direction of the applied force. The orientation and shape of the plane also play a role in determining the maximum shear stress.

Why is maximum shear stress important in materials testing?

Maximum shear stress is important in materials testing because it helps determine the point at which a material may fail due to shear forces. It is also a critical factor in designing structures and determining their strength and stability.

How can maximum shear stress be minimized in a material?

To minimize maximum shear stress, the material's properties and design can be modified. This can include choosing a material with a higher shear modulus, altering the orientation or shape of the plane, or reducing the applied force. Additionally, using techniques such as reinforcement or adding support structures can also help reduce the maximum shear stress on a given plane.

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