Design Analysis of Beams, Circular Plates and Cylindrical Tanks on Elastic Foundations: Including Software CD-ROM, 2nd Edition (Hardback) book cover

Design Analysis of Beams, Circular Plates and Cylindrical Tanks on Elastic Foundations

Including Software CD-ROM, 2nd Edition

By Edmund S. Melerski

CRC Press

284 pages | 207 B/W Illus.

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Hardback: 9780415383509
pub: 2006-05-04
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Description

This extended and revised second edition elaborates on techniques for the numerical analysis of beams, long strips, circular plates, and circular-cylindrical tanks resting on elastic foundations and on unyielding or elastic supports. Emphasis is placed on the simplicity of analysis, while maintaining the accuracy of results, and a large number of examples are included as illustration. Easy-to-use, fully-revised software is included which runs smoothly under current Windows operating systems. The applicability of the software is extended to analysis of laterally-loaded piles and bending analysis of retaining walls. A bonus suite of complementary software containing programmes for elastic-plastic soil-structure interaction analyses of beams or strips, laterally-loaded piles or sheet-piles, and long retaining walls is also included. This package of numerical techniques and software provides a powerful tool which renders design analysis of structures easy and time-efficient. Practising engineers will find this title invaluable, while postgraduate students and researchers working in soil-structure interaction will also find the book-software package very useful.

Table of Contents

Table of Contents

Preface

Symbols and Notation

General Introduction

PART 1: ANALYSIS

1 INTRODUCTION TO APPLIED ANALYSES

1.1 General information, definitions and assumptions

1.2 Displacement-based formulation of soil-structure interaction

1.3 Soil idealisations

1.3.1 Properties of Winkler foundation

1.3.2 Properties of smooth homogeneous Elastic Half-Space

2 LINEAR-ELASTIC ANALYSIS OF BEAMS AND STRIPS ON ELASTIC FOUNDATIONS

2.1 Introduction to beam and strip analysis - scope and basic assumptions

2.2 Stiffness analysis of beams and strips resting on Winkler foundations

2.2.1 Development of element stiffness matrix

2.2.2 Element fixed-end forces

2.2.3 Formulation of stiffness equations for the whole beam

2.2.4 Support conditions

2.2.5 Solution of governing equations and evaluation of internal forces

2.2.6 Strip analysis as a modification of the beam treatment

2.3 Stiffness analysis of beams and strips on smooth homogeneous elastic half-space

2.3.1 Flexibility coefficients for an elastic half-space in contact with a beam

2.3.2 Flexibility coefficients for an elastic half-space in contact with a strip

2.3.3 Global stiffness matrix, governing equations and problem solution

2.4 Finite-difference analysis of beams and strips based on strain energy

2.4.1 Equivalent stiffness matrix of the structure

2.4.2 Stiffness matrices for elastic media in contact with beam

2.4.3 Equivalent nodal forces

2.4.4 Solution of governing equations and evaluation of internal forces

2.5 Examples of beam/strip analysis

2.6 Application of beam/strip analysis to laterally-loaded piles, thin retaining walls and aqueducts

2.6.1 Elastic analysis of laterally-loaded piles

2.6.2 Bending analysis of base slabs of thin frictionless retaining walls

2.6.3 Elastic analysis of base slabs of aqueducts

2.6.4 Examples

3 LINEAR-ELASTIC ANALYSIS OF CIRULAR PLATES ON ELASTIC FOUNDATIONS

3.1 Introduction - scope and basic assumptions

3.2 Structural idealisation and general formulation of the problem

3.3 Strain energy of the plate - derivation of stiffness equations

3.3.1 Curvatures, slopes and bending moments associated with nodal lines

3.3.2 Bending strain energy expressions for plate rings related to nodal lines and their derivatives

3.3.3 Plate stiffness coefficients

3.4 Stiffness matrix of Winkler foundation

3.5 Flexibility and stiffness matrices for smooth homogeneous elastic half-space

3.5.1 Flexibility coefficients for an elastic half-space in contact with a circular plate

3.5.2 Stiffness matrix for an elastic half-space associated with a circular plate

3.6 Stiffness matrix for elastic nodal restraints

3.7 Equivalent nodal forces due to loads and environmental changes

3.7.1 Equivalent nodal forces due to loads applied along nodal lines

3.7.2 Effects of loads distributed over ring elements bounded by nodal lines

3.7.3 Equivalent nodal loads due to radial moments applied along nodal lines

3.7.4 Equivalent nodal loads due to environmental changes

3.8 Solution of stiffness equations - evaluation of structural response fields

3.8.1 Radial and circumferential bending moments in sections adjacent to nodal lines

3.8.2 Estimates of contact pressure under nodal lines

3.8.3 Radial shear forces in sections adjacent to nodal lines

3.9 Examples of plate analysis

4 LINEAR-ELASTIC ANALYSIS OF CYLINDRICAL TANKS UNDER CONITIONS OF AXIAL SYMMETRY

4.1 Introduction - scope and main assumptions

4.2 General concepts

4.3 Base plate analysis - structural modelling

4.3.1 Plate bending behaviour

4.3.2 Plate in-plane behaviour

4.4 Wall cylinder analysis - structural modelling

4.4.1 Constitutive and differential equations - effect of axial forces on hoop forces and flexure

4.4.2 Wall bending behaviour

4.4.3 Ring-stiffened walls

4.4.4 Effects of loads and environmental changes - fixed-end forces

4.5 Roof structure analysis

4.5.1 Roof plate treatment

4.5.1.1 Roof plate bending behaviour

4.5.1.2 Roof plate in-plane behaviour

4.5.2 Axi-symmetric roof shell analysis applying finite element method

4.5.2.1 Development of element stiffness equations

4.5.2.2 Typical finite element and its stiffness matrix

4.5.2.3 Finite element nodal load vector

4.5.2.4 Evaluation of stress resultants

4.6 Integration of individual analyses of tank sub-structures into global solution

4.6.1 Wall-plate/shell compatibility of displacements conditions

4.6.2 Global solution of a circular-cylindrical tank problem

4.7 Examples of tank analysis

PART 2: COMPUTER SOFTWARE

5 GENERAL INFORMATION

5.1 About BPT software

5.2 Hardware requirements and software installation

5.3 Data input

5.4 Output

5.5 Main units

5.6 Structural idealisations

5.6.1 Beam and strip modelling

5.6.2 Plate and tank’s plate modelling

5.6.3 Tank wall idealisation

5.6.4 Tank’s roof shell idealisation

5.7 Allowable loads - sign and plotting conventions

5.7.1 Beams and strips

5.7.2 Circular plates

5.7.3 Wall

5.7.4 Loads on tank’s roof shell

5.8 Data and results file storage

5.9 Starting BPT

6 DATA INPUT

6.1 Geometry and material properties data input

6.1.1 General geometry and material properties data input

6.1.2 Input of element geometry data

6.2 Support media data input

6.2.1 Support general information input

6.2.2 Support specific data input

6.3 Load / environmental change data input

6.3.1 Uniform load and self-weight data input

6.3.2 Nodal load data input

6.3.3 Trapezoidal load data input

6.3.4 Input of data for hydrostatic load on tank

6.3.5 Data input for environmental change effects

7 STATICAL ANALYSIS AND DATA/RESULTS PRESENTATION

7.1 Analysis

7.2 Previewing, printing and saving data and results

7.2.1 Previewing data details

7.2.2 Viewing results of analysis

7.3 Plotting structural response diagrams

7.3.1 Beam / strip structure

7.3.2 Cylindrical tank structure

7.3.3 Axi-symmetric circular plate

About the Author

Dr Edmund S Melerski, who sadly passed away just before publication of this book, was a Senior Lecturer at the University of Tasmania, Australia. He had over 35 years of experience in university teaching and research in the area of structures and structural analysis, gained in four countries. His major research interests were associated with the soil-structure interaction analysis, resulting in a large number of papers and this definitive work.

Subject Categories

BISAC Subject Codes/Headings:
TEC009020
TECHNOLOGY & ENGINEERING / Civil / General
TEC063000
TECHNOLOGY & ENGINEERING / Structural