Beam Theory for Subsea Pipelines: Analysis and Practical Applications

By Alexander N. Papusha

Introducing a new practical approach within the field of applied mechanics developed to solve beam strength and bending problems using classical beam theory and beam modeling, this outstanding new volume offers the engineer, scientist, or student a revolutionary new approach to subsea pipeline design. Integrating use of the Mathematica program into these models and designs, the engineer can utilize this unique approach to build stronger, more efficient and less costly subsea pipelines, a very important phase of the world's energy infrastructure.

Significant advances have been achieved in implementation of the applied beam theory in various engineering design technologies over the last few decades, and the implementation of this theory also takes an important place within the practical area of re-qualification and reassessment for onshore and offshore pipeline engineering. A general strategy of applying beam theory into the design procedure of subsea pipelines has been developed and already incorporated into the ISO guidelines for reliability-based limit state design of pipelines. This work is founded on these significant advances.

The intention of the book is to provide the theory, research, and practical applications that can be used for educational purposes by personnel working in offshore pipeline integrity and engineering students. A must-have for the veteran engineer and student alike, this volume is an important new advancement in the energy industry, a strong link in the chain of the world's energy production.

• Language: English
• Publisher: Wiley
• Release date: Aug 6, 2015
• ISBN: 9781119117667

Book preview

Contents

Cover

Half Title page

Title page

Copyright page

Dedication

List of Figures

Abstract

Preface

Symbols

Acronyms

Part I: Classical Beam Theory: Problem Set and Traditional Method of Solution

Chapter 1: Euler’s beam approach: Linear theory of Beam Bending

1.1 Objective to the part I

1.2 Scope for part I

1.3 Theory of Euler’s beam: How to utilize general beam theory for solving the problems in question?

Part II: Statically Indeterminate Beams: Classical Approach

Chapter 2: Beam in classical evaluations

2.1 Fixed both edges beam

2.2 Fixed beam with a leg in the middle part

Part III: New Method of Symbolic Evaluations in the Beam Theory

Chapter 3: New method for solving beam static equations

3.1 Objective

3.2 Problem set

3.3 Boundary conditions

3.4 New practical application for Classical Beam Theory: Uniform load

3.5 Statically indeterminate beams

3.6 Statically indeterminate beams with a leg

3.7 Cantilever Beam: Point Force at the Free Edge

3.8 Point Force in the middle part of the beam: Hinge and Roller

3.9 Multispan beam

Part IV: Beams on an Elastic Bed: Application of the New Method

Chapter 4: Beam installed at the elastic foundation: Rectangular load. Symbolic Evaluations

4.1 Beam at elastic bed: Problem set

4.2 Finited size beam at the Winkler bed: Fixed edges

Part V: Applications for Subsea Pipelines: Computational Evaluations

Chapter 5: Fixed beam on elastic bed: Symbolic Solutions for Point Force

5.1 Boundary problem: Uncertain constants method

5.2 Symbolic solution: Steel Pipeline at seabed

5.3 Fixed Pipeline on elastic seabed in Arctic: Iceberg’s Dragging Load. Numeric solutions

Part VI: Installation of the Subsea Pipeline at Shallow Water: Installation Mode in Arctic Region

Chapter 6: Strength of Subsea pipeline buried into soil

6.1 Objective

6.2 Subsea pipeline on elastic seabed in Arctic region: Impact of Iceberg Dragging Force

6.3 Strength and stability of the subsea pipeline

6.4 Subsea pipeline in current: Subsea Current Dragging Force. Strength and Stability

Part VII: Subsea Pipelines in Arctic Region: Perspective and Projects

Chapter 7: Subsea Pipeline: Installation and Operation Stages

7.1 Linear Theory of Bending of Pipeline

7.2 French Method of Installation with Lay Barge: MultiLayers Pipe

Part VIII: Impact of Iceberg on Subsea Pipeline: Installation Mode

Chapter 8: Historical view: Arctic regions

8.1 Norway, Barents Sea

8.2 Russia: Prirazlomnoye (Offshore)

Chapter 9: Subsea Pipeline in Arctic Region

9.1 Problem set

9.2 Strength of the Pipeline under Impact of Iceberg. Numeric solutions

Conclusion

References

Appendix A

Index

Beam Theory for Subsea Pipelines

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Title Page

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Published simultaneously in Canada.

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Library of Congress Cataloging-in-Publication Data:

ISBN 978-1-119-11756-8

Dedication

To my first Teacher in mechanics Professor V.O. Kononenko (former Director of the Institute of Mechanics (Kiev, Ukraine), where Timoshenko S. P. was the first Director of the Institute in 1918) this book is devoted.

Kononenko Viktor Olimpanovich (1918–1975)

List of Figures

1.1 Deflection of an Euler – Bernoulli beam

1.2 Bending moments of an Euler – Bernoulli beam

1.3 Cantilever beam and sketches of the deflection, moment and shear force graphics

2.1 Fixed both edges beam

2.2 Rectangular load q = 10 (kN/m)

2.3 Data for beam profile HEA200

2.4 Graphics of the moment, shear force and deflection of the beam profile HEA200

2.5 Mechanical scheme of the beam with leg

3.1 Broken beams due to bending

3.2 Boundary conditions of cantilever beams

3.3 Simple bending of beam

3.4 Shear force and bending moment of beam

3.5 Simple bending of beam under rectangular load

3.6 Profile HEA200

3.7 Simple bending of indeterminated beam

3.8 Simple point force bending of beam

3.9 Simple moment bending of beam

3.10 Beam with the hinge at edge

3.11 Simple bending of beam with spring at edge

3.12 Rectangular load on simple beam with spring edge

3.13 Simple beam with leg

3.14 Problem 8

3.15 Problem 9

3.16 Problem 10

3.17 Cantilever beam with point force at the edge

3.18 Simple cantilever beam with point force at the mid

3.19 Simple beam with point force

3.20 Simple bending of beam with point force

3.21 Simple bending of beam with asymetric point force

3.22 Simple bending of beam with moment at edge

3.23 Simple bending of indeterminate beam under rectangular load

3.24 Multispan beam with complicated loads

3.25 Three span beam

3.26 Four span beam with one fixed edge

3.27 Four span beam with fixed edges

4.1 Deflection of an Euler – Bernoulli beam at elastic bed

4.2 Simple limited beam at Winkler bed

5.1 Infinity beam at Winkler bed and the sketch of the solutions

5.2 Type of ice ridge in Arctic

5.3 Mechanical scheme of track ridge

5.4 Tracks grid at seabed

5.5 Scanned of the crossing tracks grid at seabed

5.6 Scale of the tracks grid at seabed

5.7 Mechanical scheme of the deflection of the pipeline under dragging force from ridge

5.8 Simple beam at Winkler bed under peak like load

5.9 Simple span of pipeline at Winkler bed with complicated loads shape

6.1 Subsea pipeline under impact load from iceberg

6.2 Subsea pipeline under drag load and peak like force

7.1 S-method installation of the subsea pipeline at shallow water

7.2 Set of the pipe ramp equipment

7.3 Ship’s tensioner for the installation of the subsea pipeline

7.4 Pontoon-method installation of the subsea pipeline at shallow water

7.5 S-method installation of the subsea pipeline at shallow water with tensile force acted on pipe

7.6 S-method installation of the subsea pipeline: Tension of the pipeline by tensioner

7.7 Direction of the installation of subsea pipeline

7.8 S-method installation: Equilibrium of the element of pipe

7.9 Data for French project

8.1 Subsea development and pipeline sketch

8.2 Perspective area of Norway sector for subsea development in Barents sea

8.3 Kara sea oil fields at shallow and deep water

8.4 Oil & gas fields in Russian sector of Arctic offshore

9.1 General map of the oil & gas fields and route of the transportation

9.2 Zones of the future activities in the Arctic

9.3 Map of the Barents shelf

9.4 Sketch of the map of the Arctic basin of Russia

9.5 SAIBOS-FDS in pipelaying mode

9.6 Map of icebergs distribution in Barents sea

9.7 Scheme of iceberg impact on subsea pipline in the stage of installation

9.8 General view of iceberg

Abstract

In this book the new practical approach within the field of applied mechanics is developed to solve beam strength and bending problems using the Classical Beam Theory (Timoshenko, S., (1953), Truesdell, C., (1960), John Case and A. H.Chilver., (1971) and beam like a model, for example, subsea pipeline model (Walker, G. E., and Ayers, R. R., (1971), Palmer, A. C., and Martin, (1979), Sewart, G. et al. (1994)) by utilization of Mathematica computer system.

Definitely significant advances have been achieved in implementation of the applied theory of the beam in various engineering design technologies during the 20th century. The same implementation of this theory takes also a worthy place within the practical area of re-qualification and reassessment for onshore and offshore pipelines engineering (Bea, R.G., (1997)). A most general strategy of beam theory applying to the design procedure of subsea pipelines has been proposed by DNV and incorporated into the ISO guidelines for reliability-based limit state design of pipelines (Collberg, Cramer, Bjornoyl, 1996; ISO, 1997). This project is founded