Design analysis of beams, circular plates and cylindrical tanks on elastic foundations with IBM

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Title:

Design analysis of beams, circular plates and cylindrical tanks on elastic foundations with IBM - compatible software

Personal Author:

Melerski, Edmund S.

Publication Information:

Rotterdam : A.A. Balkema, 2000

Physical Description:

1V 1 disket (DSK 1849)

ISBN:

9789058093035

Subject Term:

Elastic analysis (Engineering)

Elastic analysis (Theory of structures) -- Data processing

Structural design

Available:*

Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... PSZ JB	30000004982009	TA653 M44 2000	Open Access Book	Book	Searching... Unknown
Searching... PSZ JB	30000004980425	TA653 M44 2000	Open Access Book	Book	Searching... Unknown
Searching... SPACE KL Main Library	30000004980441	TA653 M44 2000	Open Access Book	Book	Searching... Unknown
Searching... SPACE Pulau Pinang Library	30000004980433	TA653 M44 2000	Open Access Book	Book	Searching... Unknown
Searching... SPACE Pulau Pinang Library	30000004980417	TA653 M44 2000	Open Access Book	Book	Searching... Unknown

This book presents comprehensive outlines of elastic numerical analyses of beams, axisymetric plates, and circular-cylindrical tanks resting on elastic foundations and/or unyielding supports. The included software is based on the numerical techniques discussed in the book and constitutes a powerful tool, making the design analysis of the related structures very easy. Together, the book and software are of great practical use to engineers working in the design of beams, strips, circular plates, cylindrical tanks and silos, and also to postgraduate students and researchers with interest in this area of soil-structure interaction. Furthermore, the book will be a valuable resource in engineering education involving modern computer-based analysis techniques. Elastic foundations are modelled either as Winkler springs or elastic half-space continua (isotropic and cross-anisotropic). Applied solutions techniques incorporate a variant of the direct stiffness method and an energy-based finite difference approach.

Preface	p. IX
Symbols and Notations	p. XV
General Introduction	p. XXI
Part 1 Analysis
1 Introduction to Applied Analyses	p. 3
1.1 General information, definitions and assumptions	p. 3
1.2 Displacement-based formulation of soil-structure interaction	p. 6
1.3 Soil idealizations	p. 7
1.3.1 Properties of Winkler foundation	p. 7
1.3.2 Properties of smooth Homogeneous Elastic Half-Space	p. 9
2 Linear-Elastic Analysis of Beams and Strips on Elastic Foundations	p. 13
2.1 Introduction to beam and strip analysis - scope and basic assumptions	p. 13
2.2 Stiffness analysis of beams and strips resting on Winkler foundations	p. 14
2.2.1 Development of element stiffness matrix	p. 19
2.2.2 Element fixed-end forces	p. 24
2.2.3 Formulation of stiffness equations for the whole beam	p. 27
2.2.4 Support conditions	p. 32
2.2.5 Solution of governing equations and evaluation of internal forces	p. 33
2.2.6 Strip analysis as a modification of the beam treatment	p. 34
2.3 Stiffness analysis of beams and strips on smooth homogeneous elastic half-space	p. 38
2.3.1 Flexibility coefficients for an elastic half-space in contact with a beam	p. 39
2.3.2 Flexibility coefficients for an elastic half-space in contact with a strip	p. 42
2.3.3 Global stiffness matrix, governing equations, and problem solution	p. 43
2.4 Finite-difference analysis of beams and strips based on strain energy	p. 45
2.4.1 Equivalent stiffness matrix of the structure	p. 48
2.4.2 Stiffness matrices for elastic media in contact with beam	p. 57
2.4.3 Equivalent nodal forces	p. 62
2.4.4 Solution of governing equations and evaluation of internal forces	p. 65
2.5 Examples of beam/strip analysis	p. 68
2.6 Application of beam/strip analysis to laterally loaded piles, thin retaining walls, and aqueducts	p. 82
2.6.1 Elastic analysis of laterally loaded piles	p. 82
2.6.2 Bending analysis of base slabs of thin frictionless retaining walls	p. 84
2.6.3 Elastic analysis of base slabs of aqueducts	p. 85
2.6.4 Examples	p. 86
3 Linear-Elastic Analysis of Circular Plates on Elastic Foundations	p. 96
3.1 Introduction - scope and basic assumptions	p. 96
3.2 Structural idealization and general formulation of the problem	p. 97
3.3 Strain energy of the plate - derivation of stiffness equations	p. 101
3.3.1 Curvatures, slopes, and bending moments associated with nodal lines	p. 101
3.3.2 Bending strain energy expressions for plate rings related to nodal lines and their derivatives	p. 112
3.3.3 Plate stiffness coefficients	p. 119
3.4 Stiffness matrix of winkler foundation	p. 120
3.5 Flexibility and stiffness matrices for smooth homogeneous elastic half-space	p. 122
3.5.1 Flexibility coefficients for an elastic half-space in contact with a circular plate	p. 122
3.5.2 Stiffness matrix for an elastic half-space associated with a circular plate	p. 125
3.6 Stiffness matrix for elastic nodal restraints	p. 125
3.7 Equivalent nodal forces due to loads and temperature changes	p. 126
3.7.1 Equivalent nodal forces due to loads applied along nodal lines	p. 126
3.7.2 Effects of loads distributed over ring elements bounded by nodal lines	p. 127
3.7.3 Equivalent nodal loads due to radial moments applied along nodal lines	p. 128
3.7.4 Equivalent nodal loads due to temperature changes	p. 129
3.8 Solution of stiffness equations - evaluation of structural response fields	p. 134
3.8.1 Radial and circumferential bending moments in sections adjacent to nodal lines	p. 134
3.8.2 Estimates of contact pressure under nodal lines	p. 137
3.8.3 Radial shear forces in sections adjacent to nodal lines	p. 138
3.9 Examples of plate analysis	p. 141
4 Linear-Elastic Analysis of Cylindrical Tanks Under Conditions of Axial Symmetry	p. 171
4.1 Introduction - scope and basic assumptions	p. 171
4.2 General concepts	p. 172
4.3 Base plate analysis - structural modelling	p. 173
4.3.1 Plate bending behaviour	p. 173
4.3.2 Plate in-plane behaviour	p. 173
4.4 Wall cylinder analysis - structural modelling	p. 179
4.4.1 Constitutive and differential equations - effect of axial forces on hoop forces and flexure	p. 179
4.4.2 Wall bending behaviour	p. 181
4.4.3 Ring-stiffened walls	p. 182
4.4.4 Effects of loads, temperature changes and shrinkage - fixed-end forces	p. 186
4.5 Roof plate treatment	p. 194
4.5.1 Roof plate bending behaviour	p. 195
4.5.2 Roof plate in-plane behaviour	p. 195
4.6 Integration of individual analyses of tank sub-structures into global solution	p. 196
4.6.1 Wall-plate compatibility of displacements conditions	p. 196
4.6.2 Global solution of a circular-cylindrical tank problem	p. 203
4.7 Examples of tank analysis	p. 204
Part 2 Computer software
5 General Information	p. 237
5.1 About BPT software	p. 237
5.2 Hardware requirements and software installation	p. 238
5.3 Data input	p. 239
5.4 Output	p. 239
5.5 Main units	p. 239
5.6 Structural idealizations	p. 240
5.6.1 Beam and strip modelling	p. 240
5.6.2 Plate and tank plate modelling	p. 241
5.6.3 Tank wall idealization	p. 242
5.7 Allowable loads - sign and plotting conventions	p. 243
5.7.1 Beams and strips	p. 243
5.7.2 Circular plates	p. 243
5.7.3 Wall	p. 244
5.8 Data and results file storage	p. 244
5.9 Starting BPT	p. 245
6 Data Input	p. 251
6.1 Geometry and material properties data input	p. 251
6.1.1 General geometry and material properties data input	p. 251
6.1.2 Input of element geometry data	p. 252
6.2 Support media data input	p. 254
6.2.1 Support general information input	p. 255
6.2.2 Support specific data input	p. 256
6.3 Load/shrinkage/temperature change data input	p. 260
6.3.1 Uniform load and self-weight data input	p. 261
6.3.2 Trapezoidal load data input	p. 262
6.3.3 Nodal load data input	p. 263
6.3.4 Input of data for hydrostatic load on tank wall	p. 263
6.3.5 Input of data for shrinkage effects in tank	p. 263
6.3.6 Data input for temperature change effects	p. 264
7 Statical Analysis and Data/Results Presentation	p. 267
7.1 Analysis	p. 267
7.2 Displaying, printing, and saving data and results	p. 269
7.2.1 Displaying details of geometry and material properties data	p. 270
7.2.2 Displaying data for loads	p. 270
7.2.3 Displaying results of analysis	p. 270
7.3 Plotting structural response diagrams	p. 271
7.3.1 Beam/strip structure	p. 272
7.3.2 Cylindrical tank structure	p. 273
7.3.3 Axi-symmetric circular plate	p. 276
References	p. 277
Index	p. 279

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Table of Contents