Download Beam Theory for Subsea Pipelines: Analysis and Practical by Alexander N. Papusha PDF

By Alexander N. Papusha

ISBN-10: 1119117569

ISBN-13: 9781119117568

Introducing a brand new useful technique in the box of utilized mechanics constructed to resolve beam power and bending difficulties utilizing classical beam idea and beam modeling, this extraordinary new quantity bargains the engineer, scientist, or scholar a progressive new method of subsea pipeline layout. Integrating use of the Mathematica application into those versions and designs, the engineer can make the most of this new angle to construct more suitable, extra effective and no more expensive subsea pipelines, an important section of the world's power infrastructure.

Significant advances were accomplished in implementation of the utilized beam concept in numerous engineering layout applied sciences during the last few many years, and the implementation of this idea additionally takes a tremendous position in the sensible sector of re-qualification and reassessment for onshore and offshore pipeline engineering. A common technique of employing beam idea into the layout technique of subsea pipelines has been built and already included into the ISO instructions for reliability-based restrict kingdom layout of pipelines. This paintings is based on those major advances.

The purpose of the booklet is to supply the speculation, learn, and sensible functions that may be used for tutorial reasons by means of group of workers operating in offshore pipeline integrity and engineering scholars. essential for the veteran engineer and scholar alike, this quantity is a crucial new development within the power undefined, a robust hyperlink within the chain of the world's power production.

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Extra info for Beam Theory for Subsea Pipelines: Analysis and Practical Applications

Sample text

Sol2 = Solve[{eq1, eq2, eq5, eq6}, {VA, VB , MA, MB }] //Flatten//Simplify VA → Lq Lq L2 q L2 q , VB → , MA → − , MB → − 2 2 12 12 as well numerical solution gives sol2/. q → 10. {q → 10 × 103 , L → 5}, {x, 0, 5}, AxesLabel → {“Length beam\n (m)”, “Moment\n (kN m)”}, Filling → Axis 18 Beam Theory for Subsea Pipelines and graphic of the shear force distribution along a beam is shown in the picture below. x → L/2//Simplify − L4 q 384J0Y It’s very easy to find the section where M[x] = 0, these points are determined by the following.

Q → 10 × 103 , L → 5}, 103 5 , 5 , AxesLabel → {“Length of beam\n (m)”, 2 “Moment\n (kN m)”}, Filling → Axis 26 Beam Theory for Subsea Pipelines and full moment distribution along a beam. {q → 10×103 , L → 5} , 5 , 5 , AxesLabel → {“Length of beam\n (m)”, 2 “Shear Force\n (kN)”}, Filling → Axis and finally, for the beam. sol/. q → 10 × 103 , L → 5 (5 − 2x)x −48MA − 8(2x + 5)VA + 10 000 4x2 + 10x + 25 192J0Y Profile of the beam HEA200 was presented in the picture (Fig. 3). 692 × 10−5 m4 . 14) The aggregate deflection of the beam consists of the deflections of every spans.

Flux boundary conditions are also called Neumann boundary conditions. Alternatively, we can represent the load point as an external along a beam distribution using the Dirac function. 5) = 0. 5)). 4). 4) is founded by code solEuler3 = DSolve[{(Y J D[y[x], {x, 4}]) == 0, y[0] == 0, y [0] == 0, y [L] == 0, −JY y(3) (L) == P }, y[x], x]//Flatten//Simplify y(x) → Px2 (3L − x) 6JY that is completely corresponding to the well-known classic solution (John Case and A. H. Chilver (1971) and Gere, J. M. and Timoshenko, S.

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