Pie end flaring - through-wall stresses

[davemechuk]

How does one hand-calculate the varying through-wall stresses of a pipe due to an axi-symmetric meridional moment ie flaring? I have no clue where to start for this one.

Thanks in advance

Dave

 

[davemechuk]

Afer some more thought...

I think I was overcomplicating this: I simply use the well known formula:

S = M r / J

S: stress at a fibre at a distance r from the origin
M: Moment
r: Radius
J: Polar Moment of inertia

Now, I have moments about the mean radii of the cross section (see image), will I have to translate this to a moment about the polar origin?

Dave

 

[davemechuk]

Ok......

In the mean time I've been digging around in text books and found that for a give meridional moment M for a cylinder of thickness t the meridional bending stresses are given by 6M/t^2. Problem solved.

Apologies I spelt pipe wrong in the title!!

Dave