The -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 (-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.
Issue Section:
Research Papers
1.
Soderberg
, C. R.
, 1941, “Interpretation of Creep Tests on Tubes
,” Trans. ASME
0097-6822, 63
, pp. 737
–748
.2.
Seshadri
, R.
, and Marriott
, D. L.
, 1993, “On Relating the Reference Stress, Limit Load and the ASME Stress Classification Concepts
,” Int. J. Pressure Vessels Piping
0308-0161, 56
, pp. 387
–408
.3.
Seshadri
, R.
, 1991, “The Generalized Local Stress Strain (GLOSS) Analysis—Theory and Applications
,” ASME J. Pressure Vessel Technol.
0094-9930, 113
, pp. 219
–227
.4.
Seshadri
, R.
, and Fernando
, C. P. D.
, 1992, “Limit Loads of Mechanical Components and Structures Using the GLOSS R-Node Method
,” ASME J. Pressure Vessel Technol.
0094-9930, 114
, pp. 201
–208
.5.
Mackenzie
, D.
, and Boyle
, J. T.
, 1993, “A Method of Estimating Limit Loads by Iterative Elastic Analysis I: Simple Examples
,” Int. J. Pressure Vessels Piping
0308-0161, 53
, pp. 77
–95
.6.
Mangalaramanan
, S. P.
, and Seshadri
, R.
, 1997, “Limit Loads of Layered Beams and Layered Cylindrical Shells Using Reduced Modulus Methods
,” ASME Pressure Vessels and Piping Conference
, Orlando.7.
Marriott
, D. L.
, 1988, “Evaluation of Deformation or Load Control of Stresses Under Inelastic Conditions Using Elastic Finite Element Stress Analysis
,” ASME PVP, Vol. 136
, 3
–9
.8.
Kraus
, H.
, 1980, Creep Analysis
, Wiley
, New York.9.
Shalaby
, M. A.
, and Younan
, M. Y. A.
, 1998, “Limit Loads for Pipe Elbows With Internal Pressure Under In-plane Closing Bending Moment
,” ASME J. Pressure Vessel Technol.
0094-9930, 120
, pp. 35
–42
.10.
Mourad
, H. M.
, and Younan
, M. Y. A.
, 2002, “Limit-Load Analysis of Pipe Bends Under Out-of-Plane Moment Loading and Internal Pressure
,” ASME J. Pressure Vessel Technol.
0094-9930, 124
, pp. 32
–37
.11.
Chattopadhyay
, J.
, Nathani
, D. K.
, Dutta
, B. K.
, and Kushwaha
, H. S.
, 2000, “Closed-Form Collapse Moment Equations of Elbows Under Combined Internal Pressure and In-Plane Bending Moment
,” ASME J. Pressure Vessel Technol.
0094-9930, 122
, pp. 431
–436
.12.
Dhalla
, A. K.
(ed.), 1991, “Recommended Practice in Elevated Temperature Design: A Compendium of Breeder Reactor Experiences (1970-1987), II, Preliminary Design and Simplified Methods
,” Welding Research Council.13.
Sim
, R. F.
, 1971, “Evaluation of Reference Stress Parameters for Structures Subject to Creep
,” J. Mech. Eng. Sci.
0022-2542, 13
, pp. 47
–50
.14.
Ponter
, A. R. S.
, Fuschi
, P.
, and Engelhardt
, M.
, 2000, “Limit Analysis for a General Class of Yield Conditions
,” Eur. J. Mech. A/Solids
0997-7538, 19
, pp. 401
–421
.15.
Ponter
, A. R. S.
, and Engelhardt
, M.
, 2000, “Shakedown Limit for a General Yield Condition
,” Eur. J. Mech. A/Solids
0997-7538, 19
, pp. 423
–445
.16.
Ponter
, A. R. S.
, and Chen
, H.
, 2001, “A Programming Method for Limit Load and Shakedown Analysis of Structures
,” ASME PVP-Vol. 430
, 155
–160
.17.
Pan
, L.
, and Seshadri
, R.
, 2002, “Limit Load Estimation Using Plastic Flow Parameter in Repeated Elastic Finite Element Analyses
,” ASME J. Pressure Vessel Technol.
0094-9930, 124
, pp. 433
–439
.Copyright © 2005
by American Society of Mechanical Engineers
You do not currently have access to this content.