Design and Analysis of Welded Pressure-Vessel Skirt Supports

1960 ◽  
Vol 82 (1) ◽  
pp. 1-13 ◽  
Author(s):  
N. A. Weil ◽  
J. J. Murphy
Keyword(s):  
Closed Form ◽  
Pressure Vessel ◽  
Thermal Effects ◽  
Thermal Stresses ◽  
Comprehensive Analysis ◽  
Design Practice ◽  
Closed Form Solutions ◽  
Expected Performance ◽  
Local Stresses ◽  
Service Conditions

Factors determining the performance of welded skirt supports for vertical process vessels are discussed. The importance of thermal effects is emphasized. A comprehensive analysis of local stresses with closed-form solutions is presented, permitting assessment of expected performance in service on a fatigue basis. The expected shape of skirt distortion is briefly mentioned. Suggestions and recommendations are made for design practice, control of thermal stresses, weld and fabrication detail for optimum practical quality, as dictated by service conditions. A numerical example is presented to illustrate the application of the analysis.

Use of API 579-1/ASME FFS-1 Limit-Load Criteria for Establishing Load Limits for Pressure Vessel Internals

2010 ◽  
Author(s):  
Brian R. Macejko
Keyword(s):  
Closed Form ◽  
Pressure Vessel ◽  
Limit Load ◽  
Process Equipment ◽  
Maximum Pressure ◽  
Plastic Collapse ◽  
Closed Form Solutions ◽  
Perfectly Plastic ◽  
Section Viii ◽  
Elastic Perfectly Plastic

The 2007 edition of ASME Boiler & Pressure Vessel Code Section VIII Division 2 and the 2007 edition of Fitness-For-Service API 579-1/ASME FFS-1 provide the option to use the limit-load method to assess protection against plastic collapse for components of pressurized process equipment. Per the methodology presented therein, the allowable load on a component is established by applying design factors to the elastic-perfectly plastic limit-load such that the onset of gross plastic deformation (plastic collapse) will not occur. Typically, the design limitations of pressure vessel internal components have been assessed through closed form solutions with conservative assumptions. It has been found that the maximum pressure delta across vessel internals established through closed form solutions can become limiting in determination of time between equipment shutdowns. This paper will outline a practical example of industry applied use of the limit-load method to qualify extended limits on mechanical loads applied to pressure vessel internals.

Thermal Stresses in Compliantly Joined Materials

1990 ◽  
Vol 112 (1) ◽  
pp. 24-29 ◽  
Author(s):  
J. C. Glaser
Keyword(s):  
Finite Element ◽  
Closed Form ◽  
Thermal Stresses ◽  
Material Interface ◽  
Element Mesh ◽  
Closed Form Solutions ◽  
First Order ◽  
The Past ◽  
Compliant Layer ◽  
Analytical Relations

In the past several years there have been a number of papers published which provide closed-form solutions for the stresses in bonded layers of materials. These closed-form solutions offer a rapid method to obtain first-order stresses for materials which are joined together and the compliant layer between them. However, before using them, it is desirable to have some feeling as to the accuracy of the results from these closed-form equations. Comparisons between these analytical relations and other approaches found in published works on bonding and to finite element solutions for several example problems are given. An attempt is made to qualify these closed-form equations in terms of their accuracy, as compared to other methods of analysis. The effects of finite element mesh refinement on the material interface stress results are also given.

Large Amplitude Vibration Analysis of Composite Beams under Thermal Stresses: Closed-Form Solutions

2012 ◽  
Vol 245 ◽  
pp. 144-149 ◽  
Author(s):  
Ali Reza Daneshmehr ◽  
Mostafa Mohammad Abadi ◽  
Meisam Soleimani
Keyword(s):  
Closed Form ◽  
Large Amplitude ◽  
Composite Beam ◽  
Vibration Analysis ◽  
Thermal Stresses ◽  
Method Comparison ◽  
Laminated Composite ◽  
Closed Form Solutions ◽  
Amplitude Vibration ◽  
Large Amplitude Vibration

In This study , the large amplitude vibration analysis of laminated composite beam under thermal stress with axially fixed ends is investigated with symmetric and asymmetric layup orientations by using the Rayleigh–Ritz (R–R) method. An exhaustive set of beam boundary condition are studied, namely, hinged-hinged, clamped-clamped, hinged- clamped, hinged-guided and clamped-guided beam in order to prove the efficacy of the present formulation. The composite beam is studied in this paper based on Euler-Bernoulli assumption together with von-Karman’s strain-displacement relation. The simple and efficient closed-form solutions are obtained for the nonlinear harmonic radian frequency as function of central amplitude of the beam using the R–R method. Comparison between results of the present study and those available in literature shows the accuracy of presented closed-form solutions.

Closed Form Solutions of Joint Water-Filling for Coordinated Transmission

2010 ◽  
Vol E93-B (12) ◽  
pp. 3461-3468 ◽  
Author(s):  
Bing LUO ◽  
Qimei CUI ◽  
Hui WANG ◽  
Xiaofeng TAO ◽  
Ping ZHANG
Keyword(s):  
Closed Form ◽  
Closed Form Solutions ◽  
Water Filling
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