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Plaxis 3D- Material datasets for plates: sheet pile wall in bending
Size: 94 KB
This is based on the Engineering Example as described in the PLAXIS 3D 2011 Material models manual.
In PLAXIS 3D plate elements are assumed to be plates with a rectangular cross-section. With some assumptions, the parameters for a material dataset for a sheet pile wall in bending can be calculated.
From the sheet-pile manufacturer, the following properties are known: t (wall thickness), h (total height), A (per m wall width), I1, Esteel and γsteel.
The structure is geometrically orthotropic with significant different stiffnesses in horizontal and vertical direction. It is known that the axial stiffness in vertical direction is larger than the effective stiffness in horizontal direction (E1 > E2). Moreover, the flexural rigidity against bending over the vertical direction, I1, is much larger than the stiffness against bending over the horizontal direction, I2, (I1 >> I2 say I1 ≈ 20 I2 and I1 >> I12 say I1 ≈ 10 I12)++).
Furthermore, it is assumed that the cross section area that is effective against shear deformation over the vertical direction is about 1/3 of the total cross section area, whereas the area that is effective against shear deformation over the horizontal direction is about 1/10 of the total cross section area. Finally, the Poisson's ratio's for sheet pile walls can be assumed zero.
With these assumptions, the situation could be modelled by selecting the model parameters in the following way:
In the attached Microsoft Excel spreadsheet, you can find these equations to determine the sheetpile wall parameters. Due to these assumptions to calculate the bending correctly, the axial stiffness is not correct, resulting in incorrect axial forces. The usage of this spreadsheet is at own risk. The PLAXIS program Disclaimer applies.
++) A factor of 20 is used here to move the bending stiffness over the first direction sufficiently small compared to the bending stiffness over the second direction, whilst the matrix condition is still OK. Note that in reality bending stiffness differences in order of 1000 may exist.
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ANSI/AWC NDS-2012, was approved as an ANSI American National Standard on August 15, 2011. The 2012 NDS was developed by the American Wood Council’s (AWC) Wood Design Standards Committee and is referenced in the 2012 International Building Code.
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This book introduces the design of steel structures in accordance with AS 4100, the Australian Standard, in a format suitable for beginners. It also contains guidance and worked examples on some more advanced design problems for which we have been unable to find simple and adequate coverage in existing works to AS 4100.
The book is based on materials developed over many years of teaching undergraduate engineering students, plus some postgraduate work. It follows a logical design sequence from problem formulation through conceptual design, load estimation, structural analysis to member sizing (tension, compression and flexural members and members subjected to combined actions) and the design of bolted and welded connections. Each topic is introduced at a beginner’s level suitable for undergraduates and progresses to more advanced topics. We hope that it will prove useful as a textbook in universities, as a self-instruction manual for beginners and as a reference for practitioners.
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This European Standard specifies requirements for unbound mixtures used for construction and maintenance of roads, airfields and other trafficked areas. The requirements are defined with appropriate cross-reference to EN 13242.
This European Standard applies to unbound mixtures of natural, artificial and recycled aggregates with a upper sieve size (D) from 8 mm to 90 mm and lower sieve size (d) = 0 at the point of delivery.
NOTE 1 Mixtures with an upper sieve size (D) greater than 90 mm are not covered by this European Standard but may be specified in the place of use.
NOTE 2 Water content of the mixture and the density of the installed layer are not specified mixture requirements. Both parameters are related to the control of the construction of the layer and are outside the scope of this European Standard.
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This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises.
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Numerical Solution of Partial Differential Equations by the Finite Element Method
Author: Claes Johnson | Size: 2.74 MB | Format:DjVu | Quality:Scanner | Publisher: Cambridge University Press | Year: January 29, 1988 | pages: 280 | ISBN: 0521347580, ISBN-13: 978-0521347587
Professor Johnson presents an easily accessible introduction to one of the most important methods used to solve partial differential equations. The bulk of the text focuses on linear problems, however a chapter extending the development of non-linear problems is also included, as is one on finite element methods for integral equations. Throughout the text the author has included applications to important problems in mathematics and physics, and has endeavored to keep the mathematics as simple as possible while still presenting significant results.
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Finite Elements and Fast Iterative Solvers
With Applications in Incompressible Fluid Dynamics
Author: Howard C. Elman, David J. Silvester, Andrew J. Wathen | Size: 4.68 MB | Format:PDF | Quality:Original preprint | Publisher: Oxford University Press, USA | Year: August 4, 2005 | pages: 414 | ISBN: 019852868X, ISBN-13: 978-0198528685
The subject of this book is the efficient solution of partial differential equations (PDEs) that arise when modelling incompressible fluid flow. The material is organized into four groups of two chapters each, covering the Poisson equation (chapters 1 & 2); the convection-diffucion equation (chapters 3 & 4); the Stokes equations (chapters 5 & 6); and the Navier-Stokes equations (chapters 7 & 8). These equations represent important models within the domain of computational fluid dynamics, but they also arise in many other settings. For each PDE model, there is a chapter concerned with finite element discretization. For each problem and associated solvers there is a description of how to compute along with theoretical analysis which guides the choice of approaches. Illustrative numerical results occur throughout the book, which have been computed with the freely downloadable IFISS software. All numerical results should be reproducible by readers who have access to MATLAB and there is considerable scope for experimentation in the 'computational laboratory' provided by the software. This book provides an excellent introduction to finite elements, iterative linear solvers and scientific computing aimed at graduates in engineering, numerical analysis, applied mathematics and interdisciplinary scientific computing. Including theoretical problems and practical exercises closely tied with freely downloadable MATLAB software, this book is an ideal teaching and learning resource.
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I'm searching for Active and Passive Earth Pressure Tables, By (author) J. Kerisel, By (author) E. Absi.
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Author: C.L. Siegel | Size: 790 KB | Format:PDF | Quality:Unspecified | Publisher: Tata Institute of Fundamental Research | Year: 1957 | pages: 170 | ISBN: B0006C8J9Q
From the table of contents: Vector groups and linear inequalities (Vector groups, Lattices, Characters, Diophantine approximations); Reduction of positive quadratic forms; Indefinite quadratic forms; Analytic theory of Indefinite quadratic forms.
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