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RESEARCH PAPERS

Limit Load Analysis of Pipe Bend Using the R-Node Method

[+] Author and Article Information
Ihab F. Fanous, R. Adibi-Asl, R. Seshadri

Faculty of Engineering & Applied Science,  Memorial University of Newfoundland, St. John’s, NL, Canada A1B 3X5

J. Pressure Vessel Technol 127(4), 443-448 (Jun 03, 2005) (6 pages) doi:10.1115/1.2043196 History: Received May 20, 2005; Revised June 03, 2005

The r-node method has been developed earlier as a technique to find the limit load using the Elastic Modulus Adjustment Procedures. It utilizes the systematic redistribution of the stress to find the load-controlled locations in a component to estimate the collapse load. In this paper, the method is shown to be applicable for multiple loads. A simple cantilever beam is analyzed using the redistribution-node (r-node) method subjected to both bending force and moment. The results compare well with the closed-form solution of the problem. The method is then used to estimate the limit load for an elbow subjected to in-plane and out-of-plane moment. The results compare well with the elastic-plastic analysis.

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Copyright © 2005 by American Society of Mechanical Engineers
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Figures

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Figure 1

Stress distribution across a beam after redistribution

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Figure 2

Diagram of the cantilever beam

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Figure 3

Iterative r-node analysis

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Figure 4

Iterative r-node analysis with the suggested initial combination of applied load

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Figure 5

In-plane and out-of-plane moment loads applied to the pipe bend

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Figure 6

Meshing of the elbow model

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Figure 7

Limit moment of the cantilever beam with no axial load

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Figure 8

Limit moment of the cantilever beam with axial load

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Figure 9

Limit curve of the cantilever beam

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Figure 10

Limit-load convergence of the elbow subjected to in-plane closing moment without internal pressure

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Figure 11

Limit-load convergence of the elbow subjected to in-plane closing moment with internal pressure

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Figure 12

Limit curves of the in-plane closing moment versus the internal pressure of the pipe bend

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Figure 13

Limit curves of the out-of-plane moment versus the internal pressure of the pipe bend

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