Mathematical Aspects of Discontinuous Galerkin Methods
Author: Daniele Antonio Di Pietro and Alexandre Ern | Size: n/a MB | Format:PDF | Quality:Unspecified | Publisher: Springer | Year: 2012 | pages: 401
This book introduces the basic ideas to build discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. The presentation is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material covers a wide range of model problems, both steady and unsteady, elaborating from advection-reaction and diffusion problems up to the Navier-Stokes equations and Friedrichs' systems. Both finite element and finite volume viewpoints are exploited to convey the main ideas underlying the design of the approximation. The analysis is presented in a rigorous mathematical setting where discrete counterparts of the key properties of the continuous problem are identified. The framework encompasses fairly general meshes regarding element shapes and hanging nodes. Salient implementation issues are also addressed.
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Features
Introduces soil ageing as a process that affects the long-term nature of soils and their properties and behaviours
Presents the concepts of soil quality and soil functionality as tools and criteria in soil and geoenvironmental engineering
Examines the effect on soils from natural environmental forces (such as earthquakes, floods, acid rain) and anthropogenic activities (waste discharge, generation of greenhouse gases, construction and mining activities, etc.)
Discusses the mechanical, thermal, and hydraulic properties of soils and their role in the development of soil functionality
Addresses the role of soils in land disposal and containment of wastes
Explains the important interaction between soil particles and water with regards to mechanical and transfer properties, buffering capability, and storage for agricultural and drinking water
Includes more than 170 illustrations and 190 equations
Summary
From bridges and tunnels to nuclear waste repositories, structures require that soils maintain their design engineering properties if the structures are to reach their projected life spans. The same is true for earth dams, levees, buffers, barriers for landfills, and other structures that use soils as engineered materials. Yet soil, a natural resource, continues to change as a result of natural and anthropogenic stresses. As the discipline of soil properties and behaviours matures, new tools and techniques are making it possible to study these properties and behaviours in more depth.
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Chapter 1
Introduction to Storage tanks and Bins
1.1 Function of Storage Tanks and Bins …………………………………………………..01
1.2 Types of Storage Tanks and Bins……………………………………………………... 01
1.3 Design codes and Standards ………………………………………………………….04
Chapter 2
Design of Liquid Storage Tanks
2.1 Shell Design …………………………………………………………………………..05
2.2 Roofs …………………………………………………………………………………..09
2.3 Bottom plate …………………………………………………………………………...12
Chapter 3
Design and Stability of Storage Bins
3.1 Introduction ……………………………………………………………………………14
3.2 Functional Design of Bins ……………………………………………………………..14
3.3 Design of Bins-Loadings……………………………………………………………….17
3.4 Structural Design of bins……………………………………………………………….21
Chapter 4
Stability of Storage Tanks
4.1 Provisios for seismic loading…………………………………………………………..29
4.2 Overturning Stability against Wind Loads……………………………………………..41
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This excel workbook is used to calculate the torsional stresses and rotations at any point (as well as their maximum values) along steel members either simply supported or fixed ended and subjected to either multi-point torsional moments or uniformly distributed torsion. The analysis is carried out in accordance with AISC design guide # 9.
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A TECHNIQUE FOR THE ANALYSIS OF TRANSIENT SEISMIC SIGNALS
A. DZIEWONSKI, S. BLOCH and M. LANDISMAN
Bulletin of the Seismological Society of America February 1969 v. 59 no. 1 p. 427-444
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Ellipticity of Rayleigh waves recorded in the Midwest
JOHN L. SEXTON, A. J. RUDMAN and JUDSON MEAD
Bulletin of the Seismological Society of America April 1977 v. 67 no. 2 p. 369-382
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Limitations of Spreadsheet:
1. 4 girders max
2. 80 ft max span Length
3. For ballasted deck only spans
4. Simple span only
5. Composite deck action...
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A simple and quick approximation for the required embedment length of a sheet pile where water is not present.
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