Sir,

In your webpost,

L=(Delta x Pipe O.D)^1/2 x 10^6/1.6S

will be

L=(Delta x Pipe O.D x 10^6/1.6S)^1/2.

This I could get from your info only.

I use

L=(Ec x Delta x Pipe O.D./(96 Sa) )^1/2

for a flat loop length, using the same guided cantilever method. Ec = Young's Modulus (#/Inch^2)


Sa = Allowed piping expansion Bending stress (#/Inch^2)

Most of the time-tested charts we use are with tangent pipes in flat or 3D loops except some rare ones in organization intranets.

As you mentioned, we often reduce the reacting force by LR ELL(Large radius elbow) flexibility & increase the bending stress by SIF of LR ELL, by comparing similar configuration in chart & Caesar-II.

Some smart young people keep 3D loop configuration modelled in Caesar-II & just play in the spreadsheet input mode, with loop dimensions, anchor-to-anchor expansion length, pipe NB & schedule & find out reacting force & bending stress in Caesar-II direct.

Here only, some people object in the 'black-box' approach taken. Just like a techno-coolie in the 'flat-world''s industrial era, people use Caesar-II like a plant design drafting package add-on.

Where those woonderful days of flexibility, freedom, curiosity and culture of doing things differently have gone ! Young minds don't ask 'What-if' questions just for fun, any more; they believe that they have all answers stored in this great standard software & underutilize the same.

regards,

sam