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This boundary condition can be validated intuitively. Let's look at a finite an element on the hole

From structural mechanics, we know that any stress on a face must be zero; therefore the analytical solution at r = a is correct.

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Finally, we will examine how the shear stress in the r_theta direction varies in the plate. The equation for the shear stress in the plate is:

at r=a

This boundary condition can also be validated intuitively. Let's look at an element on the hole

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As mentioned before, we know that any stress on a face must be zero; therefore the analytical solution at r = a is correct.

At r>>a

Now we will examine the values of Tau_r_theta when r>>a and at theta = 0 and theta = pi/2

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