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Pie end flaring - through-wall stresses

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davemechuk

Mechanical
Dec 12, 2012
29
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
 
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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
 
 http://files.engineering.com/getfile.aspx?folder=3f52c789-f204-40a7-9f84-571bb38c36d1&file=thick_pipe_moment.bmp
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
 
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