Creep Deflection of Thick-Walled Piping due to Combined Bending and Internal Pressure

1990 ◽  
Vol 112 (3) ◽  
pp. 251-255 ◽  
Author(s):  
I. Finnie ◽  
M. Shirmohamadi
Keyword(s):  
Internal Pressure ◽  
Closed Form ◽  
Satisfactory Agreement ◽  
Correction Factor ◽  
Closed Form Solution ◽  
Bending Moment ◽  
Form Solution ◽  
Piping System

A closed-form solution is derived for the creep deflection in thick-walled piping subjected to combined internal pressure and bending moment. The solution is limited to the situation usually encountered in practice with sustained gravity loads and support forces in which the additional stresses due to bending are small compared to those due to internal pressure. For this case, it is shown that a simple correction factor may be applied to an elastic computation of pipe deflections to include the effect of creep. Predictions using this factor show satisfactory agreement with observations on a thick-walled piping system which had been in service for 20 years.

Simplified Approach to Design of Crushable Material due to Dynamic Load

2012 ◽  
Author(s):  
Sivadol Vongmongkol ◽  
Asgar Faal-Amiri ◽  
Hari M. Srivastava
Keyword(s):  
Closed Form ◽  
Energy Absorption ◽  
Nuclear Power ◽  
Power Plants ◽  
Nuclear Power Plants ◽  
Closed Form Solution ◽  
High Energy ◽  
Form Solution ◽  
Piping System ◽  
The Impact

Crushable material has widely been used as an engineering solution for energy absorption devices among many industries. Abnormal and severe accident loads in the design of nuclear power plants are required to be addressed in order to comply with Nuclear Regulatory Commission (NRC) requirements which makes the crushable material more suitable in its highly dynamic application. One of the severe loads is from a postulated high energy piping system rupture. Its effects are required to be mitigated so that the proper operation of safety related systems, structures and components (SSC) of these facilities is assured. The postulated pipe rupture loads are among the highest loads that need to be addressed in the design process of nuclear power plants. The impact forces produced by the postulated pipe rupture are typically being absorbed by energy absorption devices called “Pipe Whip Restraints” in which the restraints can minimize the loads affecting the SSCs to within an acceptable limit. This paper provides a simplified closed-form solution to determine the energy absorbing characteristic that will help to design these devices. This paper will also provide a comparison between results of the proposed simplified closed-form solution equations to the experimental test results and the calculated results using finite element analysis.

Numerical Stress Analysis of Epoxy Adhesively Bonded Dissimilar Joint

2013 ◽  
Vol 594-595 ◽  
pp. 930-934
Author(s):  
Nur Athirah ◽  
A.R. Abdullah ◽  
M. Afendi ◽  
M.S. Abdul Majid ◽  
Ruslizam Daud ◽  
...  
Keyword(s):  
Closed Form ◽  
Closed Form Solution ◽  
Bending Moment ◽  
Form Solution ◽  
Dissimilar Joint ◽  
Two Dimensional ◽  
Lap Joint ◽  
Modulus Ratio ◽  
Adhesively Bonded ◽  
Single Lap Joint

A two-dimensional adhesively bonded dissimilar single lap joint model was analyzed under tension. An explicit closed-form solution was formulated by using MATLAB tool for analysis of shear and peel stresses distribution along the bondline under effect of variation of overlap length, adherend thickness ratio and adherend Youngs modulus ratio. The solution was formulated based on analysis of Bo Zhao et al. [2]. The bending moment at the edge joint of the Bo Zhaos solution was replaced by the bending moment at the edge joint that have been proposed by X. Zhao et al. [5] to compare the accuracy of solutions. The least stress intensities in dissimilar joint could be achieved with a suitable ratio of thickness and Youngs modulus of adherends.

Closed-Form Solution for a Cantilevered Sectorial Plate Subjected to a Tip Bending Moment

2014 ◽  
Vol 140 (3) ◽  
pp. 640-643 ◽  
Author(s):  
Carl W. Christy ◽  
David C. Weggel ◽  
R. E. Smelser ◽  
Benjamin T. Kennedy
Keyword(s):  
Closed Form ◽  
Closed Form Solution ◽  
Bending Moment ◽  
Form Solution

scholarly journals Analytical Solution of Laterally Loaded Free-Head Long Piles in Elasto-Plastic Cohesive Soils

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 1961
Author(s):  
Ayman Abd-Elhamed
Keyword(s):  
Closed Form ◽  
Closed Form Solution ◽  
Bending Moment ◽  
Cohesive Soil ◽  
Form Solution ◽  
Cohesive Soils ◽  
Fe Model ◽  
Soil System ◽  
Soil Medium ◽  
Laterally Loaded

This research study presents a closed form solution of responses of laterally loaded long piles embedded on cohesive soils with a constant subgrade modulus. The surrounding soil medium is modelled as elastic-perfectly plastic. The closed form solution is derived by solving the governing differential equation of the pile–soil system. The most popular numerical computation software package MATLAB is utilized for the implementation of solutions. The provided analytical method reliably calculates the pile head deflection and bending moment required for engineering design purposes. Results are discussed and verified with solutions of an equivalent three-dimensional finite element (FE) model developed using ANSYS software. It was concluded that the proposed analytical model could efficiently provide the exact solution of embedded piles in elasto-plastic cohesive soil under lateral loads.

On a Closed-Form Solution of Prandtl's System of Equations

2013 ◽  
Vol 40 (2) ◽  
pp. 106-114
Author(s):  
J. Venetis ◽  
Aimilios (Preferred name Emilios) Sideridis
Keyword(s):  
Closed Form ◽  
Closed Form Solution ◽  
Form Solution ◽  
System Of Equations
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