; Circular Storage Tanks and Silos Second Edition
A. Ghali Professor of Civil Engineering, The University of Calgary, Canada
Contents
Preface to second edition xi Preface to first edition xiii The SI system of units and British equivalents xv Notation xvii
PART 1 Analysis 1
1 Introduction to the analysis of circular tanks 3
1.1
Scope
3
1.2
Basic assumptions
4
1.3
General methods of structural analysis
4
1.4
The displacement method
5
1.5
The force method
7
1.6
Flexibility and stiffness matrices
8
1.7
Moment distribution
9
1.7.1 Notation and sign convention
10
1.7.2 Steps of analysis
11
1.8 Adjusted stiffness and flexibility coefficients
11
1.9 General
13
2 Circular walls of constant thickness
15
2.1
Introduction
15
2.2
Beam-on-elastic-foundation analogy
15
2.3
General solution of the differential equation of the deflection of a wall of constant thickness
18
2.4
Characteristic parameters
20
2.5
Stiffness and flexibility matrices
21
2.6
End-rotational stiffness and carry-over factor
24
2.7 Fixed-end forces 25
2.7.1 Uniform or linearly varying load
25
2.7.2 Concentrated load
26
2.7.3 Couple
28
2.8 Semi-infinite beam on elastic foundation and simplified equations for long cylinders
29
2.9 Classification of beams on elastic foundation and circular walls as long or short
32
2.10 Examples
32
Example 2.1 Circular wall, hinged at the bottom
32
Example 2.2 Circular wall, on bearing pads
34
Example 2.3 Circular wall, with thickness change
35
2.11 General
39
3 Circular walls of varying thickness
40
3.1 Introduction
40
3.2 Finite-difference equations
41
3.3 Boundary conditions and reactions
45
3.4 Generation of simultaneous equations
47
3.5 Sudden change in thickness
47
iii
