Simplified Limit Load Determination Using the Reference Two-Bar Structure

Author(s):  
R. Seshadri ◽  
R. Adibi-Asl

Limit loads for mechanical components and structures are determined in this paper by invoking the concept of equivalence of “static indeterminacy” that relates a multidimensional pressure component configuration to a “reference two-bar structure.” Simple scaling relationships are developed that enable the rapid determination of limit load multipliers. The reference two-bar structure method is applied to a number of pressure component configurations with or without notches.

Author(s):  
R. Adibi-Asl ◽  
R. Seshadri

Limit loads for different crack configurations are determined in this paper by invoking the concept of equivalence of “static indeterminacy” that relates a multidimensional component configuration to a “reference two-bar structure.” Simple scaling relationships are developed that enable rapid determination of limit loads. The method is applied to different crack configurations, and the limit loads are compared with corresponding results obtained from inelastic finite element analysis.


2008 ◽  
Vol 131 (1) ◽  
Author(s):  
R. Adibi-Asl ◽  
R. Seshadri

Limit loads are determined in this paper by invoking the concept of equivalence of “static indeterminacy” that relates a multidimensional component configuration (with cracks) to a “reference two-bar structure.” Simple scaling relationships are developed that enable rapid determination of limit loads. The method is applied to different crack configurations, and the limit loads are compared with corresponding results obtained from inelastic finite element analysis.


2006 ◽  
Vol 129 (2) ◽  
pp. 280-286 ◽  
Author(s):  
R. Seshadri ◽  
R. Adibi-Asl

Limit loads for mechanical components and structures are determined in this paper by invoking the concept of equivalence of “static indeterminacy,” which relates a multidimensional pressure component configuration to a “reference two-bar structure.” Simple scaling relationships are developed that enable the rapid determination of limit loads. The reference two-bar structure method is applied to a number of pressure component configurations with or without notches.


Author(s):  
R. Seshadri ◽  
M. M. Hossain

Limit load determination of mechanical components and structures by the mα-tangent method is proposed herein. The proposed technique is a simplified method that enables rapid determination of limit loads for a general class of mechanical components and structures. The method makes use of statically admissible stress field based on a linear elastic finite element analysis to estimate the limit loads. The method is applied to a number of mechanical component configurations and the results compare well with those obtained by the corresponding elastic-plastic finite element analyses results.


2009 ◽  
Vol 131 (2) ◽  
Author(s):  
R. Seshadri ◽  
M. M. Hossain

Limit load determination of mechanical components and structures by the mα-tangent method is proposed herein. The proposed technique is a simplified method that enables rapid determination of limit loads for a general class of mechanical components and structures. The method makes use of statically admissible stress field based on a linear elastic finite element analysis to estimate the limit loads. The method is applied to a number of mechanical component configurations and the results compare well with those obtained by the corresponding elastic-plastic finite element analyses results.


Author(s):  
R. Adibi-Asl ◽  
M. M. Hossain ◽  
S. L. Mahmood ◽  
P. S. R. Gudimetla ◽  
R. Seshadri

Limit loads for pressure components are determined on the basis of a single linear elastic finite element analysis by invoking the concept of kinematically active (reference) volume in the context of the “mα-tangent” method. The resulting technique enables rapid determination of lower bound limit load for pressure components by eliminating the kinematically inactive volume. This method is applied to a number of practical components with different percentages of inactive volume. The results are compared with the corresponding inelastic finite element results, or available analytical solutions.


2014 ◽  
Vol 136 (5) ◽  
Author(s):  
Hany F. Abdalla

In the current research, the elastic shakedown limit loads for a cylindrical vessel–nozzle intersection is determined via a direct noncyclic simplified technique. The cylindrical vessel–nozzle intersection is subjected to a spectrum of steady internal pressure magnitudes and cyclic in-plane bending moments on the nozzle end. The determined elastic shakedown limit loads are utilized to generate the elastic shakedown boundary (Bree diagram) of the cylindrical vessel–nozzle structure. Additionally, the maximum moment carrying capacity (limit moments) and the elastic limit loads are determined and imposed on the Bree diagram of the structure. The simplified technique outcomes showed excellent correlation with the results of full cyclic loading elastic–plastic finite element simulations.


1995 ◽  
Vol 19 (3) ◽  
pp. 227-246 ◽  
Author(s):  
S.P. Mangalaramanan ◽  
R. Seshadri

Robust methods for estimating limit loads of symmetric and non-symmetric plate structures are presented. The methods proposed in this paper for determining limit loads are (1) the r-node method and (2) the semi-circle construction technique. Analytical methods for estimating the limit loads of plate structures are feasible only for simple configurations. Also, determination of limit loads based on assumed collapse mechanisms may not always give upper bound estimates. Limit analysis using inelastic finite element analysis is often elaborate and time consuming. The methods described in this paper circumvent these difficulties. The methods are applied to several configurations of symmetric and non-symmetric plate structures and the limit load estimates are found to be satisfactory.


1992 ◽  
Vol 114 (2) ◽  
pp. 201-208 ◽  
Author(s):  
R. Seshadri ◽  
C. P. D. Fernando

A method for determining plastic collapse loads of mechanical components and structures on the basis of two linear elastic finite element analysis is presented in this paper. The r-nodes, which are essentially statically determinate locations, are obtained by GLOSS analysis. The plastic collapse loads are determined for statically determinate and indeterminate components and structures by using the single-bar and the multibar models, respectively. The paper also attempts to unify the concepts of load-control, limit load, reference stress and stress-classification. The GLOSS R-Node method is applied to several component configurations of practical interest.


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