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

Including Software CD-ROM

Edmund S. Melerski

• Publisher: CRC Press
• Year: 2020
• Print ISBN: 9780415383509, 9780415383509
• eBook ISBN: 9781000151183
• Edition: 2
• Topic: Technology & Engineering
• Subtopic: Civil Engineering
• Index: Technology & Engineering

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

• Cover
• Half Title
• Title Page
• Copyright Page
• Contents
• Preface
• Acknowledgements
• Symbols and notations
• 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
• 1.3.2 Properties of smooth Homogeneous Elastic Half-Space
• 2 Linear-elastic analysis of beams and strips on elastic foundations
• 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
• 2.6.2 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 circular plates on elastic foundations
• 3.1 Introduction – scope and basic assumptions
• 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
• 3.7.1 Equivalent nodal forces due to loads applied along 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 conditions of axial symmetry
• 4.2 General concepts
• 4.3 Base plate analysis – structural modelling
• 4.3.1 Plate bending 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
• 4.5.2 Axi-symmetric roof shell analysis applying Finite Element Method
• 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
• 5.2 Hardware requirements and software installation
• 5.4 Output
• 5.6.2 Plate and tank's plate modelling
• 5.6.3 Tank wall idealisation
• 5.6.4 Tank's roof shell idealisation
• 5.7.2 Circular plates
• 5.7.4 Loads on tank's roof shell
• 5.8 Data and results file storage
• 5.9 Starting BPT
• 6 Data input
• 6.1.1 General geometry and material properties data input
• 6.1.2 Input of element geometry data
• 6.2 Support media data 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
• 7.3 Plotting structural response diagrams
• 7.3.1 Beam/strip structure
• 7.3.2 Cylindrical tank structure
• 7.3.3 Axi-symmetric circular plate
• References
• Index