Cover -- Title Page -- Copyright Page -- Dedication -- Contents -- List of Figures -- Abstract -- Preface -- List of Symbols -- Acronyms -- PART I CLASSICAL BEAM THEORY: PROBLEMSET AND TRADITIONAL METHOD OF SOLUTION -- 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? -- 1.3.1 Short history of beam theory -- 1.3.2 General Euler - Bernoulli method: Traditional approach -- 1.3.3 Loading considerations (from Wikipedia). Symbolic solutions -- PART II STATICALLY INDETERMINATE BEAMS: CLASSICAL APPROACH -- 2 Beam in classical evaluations -- 2.1 Fixed both edges beam -- 2.1.1 Problem set and traditional method of solution: Unknown reactions -- 2.1.2 The equations of beam equilibrium -- 2.1.3 Differential equation of beam bending -- 2.1.4 The boundary conditions for a beam -- 2.1.5 The solution for forces and moments -- 2.1.6 Visualizations of solutions -- 2.1.7 Well-known results from "black box" program -- 2.2 Fixed beam with a leg in the middle part -- 2.2.1 Problem set -- 2.2.2 Static equations -- 2.2.3 Differential equations for the deflections of the spans -- 2.2.4 Transmission and boundary conditions -- 2.2.5 Reactions -- 2.2.6 Visualizations of the symbolic solutions -- PART III NEW METHOD OF SYMBOLIC EVALUATIONS IN THE BEAMTHEORY -- 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 -- 3.4.1 Elementary Problems: Rectangular Load Distributions. Hinge and roller supporters of beam -- 3.5 Statically indeterminate beams -- 3.5.1 Objective -- 3.5.2 Problem b): Rectangular load distribution -- 3.5.3 Problem c): Pointed force.

3.5.4 Problem d): Moment at the point -- 3.5.5 Problem set: Beam with hinge at the edge -- 3.5.6 Problem set: Beam with weak stiffness at edge -- 3.6 Statically indeterminate beams with a leg -- 3.6.1 Problem bb): Two spans -- 3.6.2 Exercises -- 3.7 Cantilever Beam: Point Force at the Free Edge -- 3.7.1 Simple cantilever beam -- 3.7.2 Cantilever Beam: Point Force in the middle part of the beam -- 3.8 Point Force in the middle part of the beam: Hinge and Roller -- 3.8.1 Simple beam: Mechanical Problem Set -- 3.8.2 Point Force in the middle part of the beam: Three-point bending -- 3.8.3 Exercise -- 3.8.4 Moment at the edge of beam -- 3.8.5 Fixed beam with the Hinge at the edge of the beam -- 3.9 Multispan beam -- 3.9.1 Symbolic evaluation for multispan beam -- 3.9.2 Example of strength of multispan beam: Symbolic solutions -- 3.9.3 Numerical solutions for a peak like force -- 3.9.4 Numerical and symbolic solutions formultispan beam -- 3.9.5 Fixed edges of multispan beam -- PART IV BEAMS ON AN ELASTIC BED: APPLICATION OF THE NEWMETHOD -- 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 -- 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 -- 5.3.1 Problem set. Iceberg load -- 5.3.2 Free beam on elastic bed: Narrow rectangular load -- 5.3.3 Free pipeline on elastic bed: Combined loads -- PART VI INSTALLATION OF THE SUBSEA PIPELINE AT SHALLOWWATER: INSTALLATION MODE IN ARCTIC REGION -- 6 Linear quadratic control -- 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 -- 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 -- 7.2.1 Theory of bending of multilayers pipe: Timoshenko's beam approximation -- 7.2.2 Subsea Pipeline Installation by S-method -- 7.2.3 Equilibrium of the sagging part of subsea pipeline -- 7.2.4 Symbolic Solutions of the Bending Shape of Subsea Pipeline -- 7.2.5 Bending Shape and Strength of Subsea Pipeline. Case 1 -- 7.2.6 Numeric solution for French Installation Project. Case 2 -- 7.2.7 Numeric solution for French Lay Barge Project. Case 3 -- PART VIII IMPACT OF ICEBERG ON SUBSEA PIPELINE: INSTALLATION MODE -- 8 Historical view: Arctic regions -- 8.1 Norway, Barents Sea -- 8.2 Russia: Prirazlomnoye (Offshore) -- 9 Subsea Pipeline in Arctic Region -- 9.1 Problem set -- 9.1.1 Design properties -- 9.1.2 Iceberg load -- 9.1.3 Mechanical model. Symbolic solutions -- 9.2 Strength of the Pipeline under Impact of Iceberg. Numeric solutions -- Conclusion -- References -- Appendix A -- Index -- EULA.