Maximum shear stress on a given plane?

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The maximum shear stress on the y-z plane is not simply the greater of the two shear components, Sxy and Sxz. Instead, it is the resultant of these two orthogonal shear stresses. To calculate this resultant shear stress, one must apply the appropriate transformation equations. Understanding the relationship between these components is crucial for accurate stress analysis. Therefore, the maximum shear stress requires more than just selecting the larger value; it involves a calculation of the resultant.
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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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
 
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