Hello,
I'm trying to understand the matrix formulation behind the elbow element. I'm not understanding how the flexibility factor is utilized to create a beam-like element.
I originally thought that the in-plane and out-plane flexibility factors were simply used to reduce the flexural rigidity by multiplying the respective constant by the reciprocal of the flexibility factor.
According to a similar source, a flexibility matrix is first created and then inverted to create a stiffness matrix. Is this how CAESAR 2 also calculates the stiffness matrix for elbows?
Source is here:
https://www.sharcnet.ca/Software/Ansys/17.0/en-us/help/ans_arch/thy_el18.htmlThrough my research, I continually run into a source by Chen regarding flexibility analysis by stiffness matrix, but it seems to be out-of-print and very hard to find.
Does anyone have a copy of "L. H. Chen. "Piping Flexibility Analysis by Stiffness Matrix". ASME, Journal of Applied Mechanics. December 1959." they could send me?
I'm just a piping engineer trying to find the bottom of the rabbit hole that is beam-type pipe stress analysis.
Thank you for any help!