The problem is that I am simulating a hollow cylinder under torsion and I would like to compute the shear stress for it. The output of the simulation is the shear surface tractions. See the figure belowenter image description here

For each element in top cross-section, I have surface traction and the distance from the center of the element to the center of the hollow cylinder.

In order to calculate the shear stress I have to use

$T = \frac{1}{n}\Sigma \tau_i r_i$

where $\tau_i$ is the surface traction for element $i$ and $r_i$ is the distance.

Can anyone explain why I should multiply the surface traction by the relative distance? I couldn't find the theory behind it.


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