About the Book.
It presents the essential non-calculus mathematics needed to analyse the static and dynamic forces acting upon the bedding, joints, and other discontinuities of potentially unstable and moving rock masses for you to design appropriate pinning, bolting or anchoring systems to control and prevent movement.
Within, you will also find the simple mathematical equations needed to analyse the dynamic behaviour of individual boulders and sliding rock masses in order to calculate their rolling, bouncing, or sliding velocities and thus their kinetic energies. Using this information, the book provides calculation procedures you can apply in the design of control and mitigation structures for the capturing or deflection of moving rocks or rocks masses.
Containing 51 photographs and 91 diagrams, and with worked examples and units presented for each calculation scenario, this book ensures that you will be able to apply every equation and design solution illustrated within it.
Some questions that "Essential Mathematics Equations" will allow you to answer:
If I cut the required slope in that rock, will any of it fail out in the short-term, or the long-term? How much will fail out? Can I prevent that by restraining it? If not, what velocity will the mass of rock reach at the base of the slope? Will it slide, roll, or bounce? How far will it travel before it stops moving on its own? How much energy will I need to absorb if I want to stop it before or at the base of the slope? What kind of structure should I design to do that? What are the dimensions and technical specifications for that structure? What effect will it have if a 0.3G peak acceleration earthquake takes place in the vicinity of my cutting? Can I calculate that effect and insert it into my equations?
If you want to be able to say that you know how to break large sites down into modular units for numerical analysis, and you want to know the range of mathematical equations that you will need to solve those modular problems, then this book is for you. It contains a rapidly-accessible table of 26 brief, easily-understood and well-explained equations together with all of the relevant units specified so that nothing remains to hold you back from applying them.
If you would like to say that you know where to find those necessary equations and how to apply them, then all you have to do is flick through this book from beginning to end and then put it on your bookshelf where you can find it easily. That's all.
The first thing you will need to do to appreciate the usefulness of the information contained in this book is to look at the Table of Contents below. Then ask yourself where else could you find all of this information in a single, modern book, with fully worked examples. Yet, despite the complexity of the topics covered, we have concentrated on using the simplest analyses, and always use worked examples, so that the design engineer can be confident he/she has the proper units and has completed his/her calculations correctly.
The specialised nature of this book means that it will be your go-to reference book and mentor.
Our approach has been to eschew the huge, deep-faced mining pits that you will never encounter in your working career. They are the remit of the highly advanced specialist. This book addresses and aids the standard, competent, working geologist and engineer needing to find a book that he/she can understand at first read.
This is arguably the most compactly useful book currently available on this specialised subject. It was created for professionals who already know their basic geology and engineering, but who seek to find a reliable source for the maths.
No wonder it receives five-star reviews!
CONTENTS
Preface
1. INTRODUCTION
2. MATHEMATICS OF ROCK SLOPE AND ROCK FACE CONTROL
2.1 Different types of rock movement
2.2 The mathematics of planar sliding
2.2.1 Static forces controlling the stability of stationary rock blocks
2.2.2 The recommended, simplified, modular approach
2.2.3 Dynamic forces controlling the behaviour of moving rock blocks
2.3 The modular mathematics of wedge sliding
2.3.1 Determination of the dimension of a wedge by field measurement and calculation
2.3.2 Specification of the various physical restraining properties of the wedge on its
potential sliding planes' interfaces
2.3.3 Simple global analysis
2.3.4 Wedge 'Partition Method' with rigid response
2.3.5 Wedge 'Partition Method' with deformable response
2.4 Concepts of shared stress and cumulative strain
2.5 Mathematics of toppling rocks
2.5.1 Rocks standing alone
2.5.2 Rocks subjected to external forces
2.6 Mathematics of rolling rocks
2.7 Mathematics of falling rocks
2.8 Mathematics of bouncing rocks
2.9 Mathematics and principles of impact absorption
2.10 Seismic activity and its effects
3. ROCK CONTROL SYSTEM TYPES A, B, C, & D
4. TYPE A - NO ACTION NECESSARY
5. TYPE B - ACTIVE INTERVENTION SYSTEMS
5.1 Rock pins
5.2 Rock anchors
5.3 Hawsers
5.4 Meshes/nets
5.5 Sprayed concrete
5.6 Relocating rocks
6. TYPE C - PASSIVE INTERVENTION SYSTEMS
6.1 Wire fence barriers
6.2 Concrete and block wall barriers
6.3 Free-standing granular barriers
6.4 Reinforced soil barriers
6.5 Gabion barriers
6.6 Lateral diversion structures
6.7 Vertical diversion structures (shed tunnels)
6.8 Rock guidance nets
6.9 Catchment ditches
7. LIST OF DYNAMIC EQUATIONS - ADVICE, GREEK SYMBOLS
7.1 Essential dynamic design equations
7.2 Greek letters used in equations
8. PHYSICS GLOSSARY
8.1 Some useful terms
9. BIBLIOGRAPHY
Would you like to have all the knowledge that is in these diagrams, as well as in the rest of the 70+ diagrams and illustrations in our book?
If so, just buy it!
Essential Rock Slope and Rock Face Mathematics Equations
Essential Rock Slope and Rock Face Mathematics Equations
The Static and Dynamic Mathematics of Rock Face Instability and Rockfall Control Design with Worked Examples.
This modern book is written for geologists, engineering geologists, and civil engineers working in the fields of geotechnical, highways, and civil engineering, as well as in the mineral exploration and quarrying industries. It will also, no doubt, be useful for undergraduates, as it is a compact guide to the essential mathematics equations for both static and dynamic modular analysis.
It explains how to calculate the static and dynamic forces to be overcome in any required short-term and long-term stabilisation works.
This EC7 aligned book contains numerous worked examples. Although capable of being used anywhere in the world, it conforms to modern limit-state design procedures.
There is arguably no equally concise, practical, or useful book available elsewhere.
HE LIKED IT—SEE IF YOU LIKE IT BEFORE YOU BUY
BELOW ARE SOME OF THE 87 FIGURES AND 55 PHOTOGRAPHS IN THE BOOK
In the working edition, the images are in monochrome. We show them here in colour to make them more interesting and exciting for you. They are available in colour in our Prestige Rock Slope and Rock Face Engineering book which you can inspect from our home page.
WHEN YOU BUY A TECHNICAL BOOK, YOU NEED TO KNOW EXACTLY WHAT IS IN IT AND WHAT YOU ARE BUYING.
SO, SCROLL DOWN AND READ ON:
This book contains the extracted mathematics from our larger, more comprehensive, textbook entitled, "Rock Slope and Rock Face Engineering" which you can visit from our home page.
Below is an extract from an unsolicited review of that main book by a senior member of a UK consulting practice:
"All in all, engineers with experience of this type of work will appreciate having this book at their finger tips and it comprises valuable reading for anyone wanting to fully understand the elements of rock slope engineering. I have already used it to aid in a couple of recent schemes and I have urged my team to make sure that they purchase a copy for themselves"
Working Edition - Hardback
£29.81
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