Shear area calc. Hi, I have a do

[Hanson Gill_1983]

Shear area calc.
Hi,
I have a doubt in calculating the shear area of a cylinder.
Please find the attached drawing.
As you can see from the dwg, I have to calculate the shear area for the component 1. The component 2 is fixed.
I used the shear area of punch formula which is Π X D X t or 2Πr x L. But for a hollow component to shear as shown in the picture, should the formula be
Π X (D^2-d^2) X t ???. Sounds as a simple formula, but i missed the logic. Please help.

 

[JStephen]

The way you have it drawn, it could fail by shear through the thick area at left, and that area would be pi*d*t,
Or it could fail by shear through the thinner area at the right, but you don't have that area dimensioned.
Or it could fail by tension + bending through the neck part in the center,
Or it could fail by combined shear and tension on a diagonal surface where the cylinder part joins either end, which seems most likely to me.
Or it could fail by bending either end piece out.
It's a simple little part but getting a complete analysis of it could take some work.
You'd have some stress concentration at those inside corners, for example.

 

[Hanson Gill_1983]

Sorry I don’t have the stress concentrations . I just want to know how to calculate the shear area that is, pi*d*t which shears
at the plane on dia d (single plane)
So, it’s not pi*[D-d]*t right?