Approximate Elastic Stresses in Pipe Junctions with Chamfer Corners

1981 ◽  
Vol 103 (1) ◽  
pp. 107-111
Author(s):  
D. P. Updike
Keyword(s):  
Internal Pressure ◽  
Stress Analysis ◽  
Elastic Stress ◽  
Branch Pipe ◽  
Optimum Size ◽  
Pressure Loading ◽  
Elastic Stresses ◽  
Rapid Calculation ◽  
Identical Diameter

Elastic stress analysis of a right angle tee branch pipe connection of two pipes of identical diameter and thickness connected through 45-deg chamfer corner sections is developed for internal pressure loading. Stresses in the crotch portion of the vessel are determined. These results are presented in the form of a table of factors useful for rapid calculation of approximate values of the peak stresses. The existence of a structurally optimum size of chamfer is demonstrated.

Numerical Stress Analysis of Intersecting Cylindrical Shells

1993 ◽  
Vol 115 (3) ◽  
pp. 275-282 ◽  
Author(s):  
V. N. Skopinsky
Keyword(s):  
Internal Pressure ◽  
Stress Analysis ◽  
Elastic Stress ◽  
Cylindrical Shells ◽  
Numerical Approach ◽  
The Finite Element Method ◽  
Pressure Loading ◽  
Purpose Computer ◽  
Special Purpose Computer

This paper presents the numerical approach for the stress analysis of the intersecting shells. For a systematic study of this problem, the classification of the model joints is introduced. Stress analysis has been made with the application of the finite element method based on the modified mixed formulation. The developed special-purpose computer program SAIS is used for elastic stress analysis of the model joints of the intersecting shells. Comparison of the calculated and experimental results for ORNL-1 model are presented for internal pressure and moment loadings. The parametric study of the model joints of the intersecting cylindrical shells under internal pressure loading was performed. The presented results show the effects of changing various geometric and angular parameters on the maximum effective stresses in the shells.

Approximate Elastic Stresses in a Tee Branch Pipe Connection Under Internal Pressure

1981 ◽  
Vol 103 (1) ◽  
pp. 104-107 ◽  
Author(s):  
D. P. Updike
Keyword(s):  
Internal Pressure ◽  
Approximate Method ◽  
Shell Theory ◽  
Branch Pipe ◽  
Bending Stress ◽  
Elastic Stresses ◽  
Rapid Calculation

An approximate method for calculating the elastic stresses at the crotch of a tee branch pipe connection under internal pressure is presented. The analaysis is based on shell theory together with stress multipliers for the peak bending stress in the fillet. A table of factors for rapid calculation is given.

Stress Analysis of Shell Intersections With Torus Transition Under Internal Pressure Loading

1997 ◽  
Vol 119 (3) ◽  
pp. 288-292 ◽  
Author(s):  
V. N. Skopinsky
Keyword(s):  
Internal Pressure ◽  
Stress Analysis ◽  
Graphical Form ◽  
Pressure Loading ◽  
Stress Ratios ◽  
Shell Intersections ◽  
Thin Shell Theory ◽  
Purpose Computer ◽  
Radial Nozzle ◽  
Special Purpose Computer

Thin shell theory and finite element method were used to investigate shell intersections with torus transition. The developed special-purpose computer program SAIS is employed for elastic stress analysis of the shell intersections. Comparison of calculated results with experimental data are presented. The parametric study of models for the radial nozzle connections in shells under internal pressure loading was performed. The results are presented in graphical form. Nondimensional geometric parameters are considered to analyze the effects of changing these parameters on stress ratios in the shell intersections.

Experimental Stress Analysis of Four Fabricated Equal Diameter Branch Pipe Intersections Subjected to Moment Loadings and the Implications on Branch Junction Design

1985 ◽  
Vol 199 (4) ◽  
pp. 261-284 ◽  
Author(s):  
D G Moffat
Keyword(s):  
Internal Pressure ◽  
Stress Analysis ◽  
Branch Pipe ◽  
Design Codes ◽  
Experimental Stress ◽  
Experimental Stress Analysis ◽  
External Moment ◽  
Different Thickness ◽  
Stress Analyses

Four 250 mm (10 inch) equal diameter branch junctions of different thickness have been subjected to all six external moment loadings that can occur in practice, together with internal pressure in one case. The results of detailed experimental stress analyses are presented and are discussed in the light of current American and British piping design codes.

An Analytical Method for Cylindrical Shells With Nozzles Due to Internal Pressure and External Loads—Part I: Theoretical Foundation

2010 ◽  
Vol 132 (3) ◽  
Author(s):  
Ming-De Xue ◽  
Qing-Hai Du ◽  
Keh-Chih Hwang ◽  
Zhi-Hai Xiang
Keyword(s):  
Analytical Solution ◽  
Internal Pressure ◽  
Stress Analysis ◽  
Pressure Vessel ◽  
Cylindrical Shells ◽  
Branch Pipe ◽  
Theoretical Solution ◽  
External Branch ◽  
Complex Valued ◽  
External Loads

An improved version of the analytical solutions by Xue, Hwang and co-workers (1991, “Some Results on Analytical Solution of Cylindrical Shells With Large Opening,” ASME J. Pressure Vessel Technol., 113, 297–307; 1991, “The Stress Analysis of Cylindrical Shells With Rigid Inclusions Having a Large Ratio of Radii,” SMiRT 11 Transactions F, F05/2, 85–90; 1995, “The Thin Theoretical Solution for Cylindrical Shells With Large Openings,” Acta Mech. Sin., 27(4), pp. 482–488; 1995, “Stresses at the Intersection of Two Cylindrical Shells,” Nucl. Eng. Des., 154, 231–238; 1996, “A Reinforcement Design Method Based on Analysis of Large Openings in Cylindrical Pressure Vessels,” ASME J. Pressure Vessel Technol., 118, 502–506; 1999, “Analytical Solution for Cylindrical Thin Shells With Normally Intersecting Nozzles Due to External Moments on the Ends of Shells,” Sci. China, Ser. A: Math., Phys., Astron., 42(3), 293–304; 2000, “Stress Analysis of Cylindrical Shells With Nozzles Due to External Run Pipe Moments,” J. Strain Anal. Eng. Des., 35, 159–170; 2004, “Analytical Solution of Two Intersecting Cylindrical Shells Subjected to Transverse Moment on Nozzle,” Int. J. Solids Struct., 41(24–25), 6949–6962; 2005, “A Thin Shell Theoretical Solution for Two Intersecting Cylindrical Shells Due to External Branch Pipe Moments,” ASME J. Pressure Vessel Technol., 127(4), 357–368; 2005, “Theoretical Stress Analysis of Two Intersecting Cylindrical Shells Subjected to External Loads Transmitted Through Branch Pipes,” Int. J. Solids Struct., 42, 3299–3319) for two normally intersecting cylindrical shells is presented, and the applicable ranges of the theoretical solutions are successfully extended from d/D≤0.8 and λ=d/(DT)1/2≤8 to d/D≤0.9 and λ≤12. The thin shell theoretical solution is obtained by solving a complex boundary value problem for a pair of fourth-order complex-valued partial differential equations (exact Morley equations (Morley, 1959, “An Improvement on Donnell’s Approximation for Thin Walled Circular Cylinders,” Q. J. Mech. Appl. Math. 12, 89–91; Simmonds, 1966, “A Set of Simple, Accurate Equations for Circular Cylindrical Elastic Shells,” Int. J. Solids Struct., 2, 525–541)) for the shell and the nozzle. The accuracy of results is improved by some additional terms to the expressions for resultant forces and moments in terms of complex-valued displacement-stress function. The theoretical stress concentration factors due to internal pressure obtained by the improved expressions are in agreement with previously published test results. The theoretical results discussed and presented herein are in sufficient agreement with those obtained from three dimensional finite element analyses for all the seven load cases, i.e., internal pressure and six external branch pipe load components involving three orthogonal forces and the respective three orthogonal moments.

Stress Analysis of Ellipsoidal Shell With Nozzle Under Internal Pressure Loading

1994 ◽  
Vol 116 (4) ◽  
pp. 431-436 ◽  
Author(s):  
V. N. Skopinsky ◽  
N. A. Berkov
Keyword(s):  
Internal Pressure ◽  
Stress Analysis ◽  
Shell Theory ◽  
Numerical Procedure ◽  
Graphical Form ◽  
Pressure Loading ◽  
Ellipsoidal Shell ◽  
Thin Shell Theory ◽  
Purpose Computer ◽  
Special Purpose Computer

This paper presents the numerical procedure for the stress analysis of the intersecting shells consisting of an ellipsoidal shell and nozzle. Thin shell theory and finite element method are used. The developed special-purpose computer program SAIS is employed for elastic stress analysis of the model joints of the ellipsoidal shell with nozzle. The parametric study of the joints under internal pressure loading was performed. The results are presented in graphical form. Nondimensional geometric parameters are considered to analyze the effects of changing these parameters on the maximum effective stresses in the shells.

Stresses at openings in the torispherical end closure of a pressure vessel

1973 ◽  
Vol 8 (3) ◽  
pp. 191-199 ◽  
Author(s):  
R Kitching ◽  
K T Lau
Keyword(s):  
Stress Distribution ◽  
Internal Pressure ◽  
Pressure Vessel ◽  
Elastic Stress ◽  
Pressure Vessels ◽  
Plastic Limit ◽  
Plastic Deformations ◽  
Elastic Stresses ◽  
Pressure Test ◽  
Plastic Limit Pressure

In the design of torispherical heads for cylindrical pressure vessels, it would often be desirable to position openings or branch connections in the vicinity of the toroidal portion of the shell, but from strength considerations it is normal practice to avoid doing so. An 18 inch inside-diameter model vessel of this type, with a nominal inside toroidal radius of 1.25 in was used for making strain and hence stress measurements in the shell due to internal pressure. Four unreinforced openings of 3 inch diameter were placed at different positions in the torispherical end and an elastic stress distribution for the shell around each opening was obtained. Distributions of elastic stresses in the shell were compared for the different opening positions with those in the unpierced shell in the toroidal region. Plastic deformations were measured in an over-pressure test and a plastic limit pressure was estimated.

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