Building the Great Pyramid in a Year

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<p>BUILDING THE GREAT PYRAMID IN ONE YEAR</p> <p>BUILDING THE GREAT PYRAMID IN ONE YEARAN ENGINEERS REPORT</p> <p>Gerard C. A. Fonte</p> <p>Algora Publishing New York</p> <p> 2007 by Algora Publishing. All Rights Reserved www.algora.com No portion of this book (beyond what is permitted by Sections 107 or 108 of the United States Copyright Act of 1976) may be reproduced by any process, stored in a retrieval system, or transmitted in any form, or by any means, without the express written permission of the publisher. ISBN-13: 978-0-87586-521-8 (trade paper) ISBN-13: 978-0-87586-522-5 (hard cover) ISBN-13: 978-0-87586-523-2 (ebook) Library of Congress Cataloging-in-Publication Data Fonte, Gerard C. A. Building the Great Pyramid in a year : an engineers report / Gerard C. A. Fonte. p. cm. Includes bibliographical references and index. ISBN 978-0-87586-521-8 (trade paper: alk. paper) ISBN 978-0-87586-522-5 (hard cover: alk. paper) ISBN 978-0-87586-523-2 (ebook) 1. PyramidsEgyptDesign and construction. 2. Great Pyramid (Egypt) I. Title. DT63.F66 2007 932dc22 2007004713</p> <p>Front Cover: One man moving a 4200-pound block using technology that was available to the ancient Egyptians.</p> <p>Printed in the United States</p> <p>To Nellie, who enjoys the unconventional and whose support and encouragement made this book possible.</p> <p>TABLE OF CONTENTSCHAPTER 1. THE EGYPTIAN PYRAMIDS Introduction Other Books The Great Pyramid Evolution of the Pyramid Pyramid Construction The Pyramid at Maidum Great Pyramid Construction Clues General Pyramid Geometry Conclusion CHAPTER 2. PYRAMID FALLACIES Introduction Slaves Pyramid Blocks Passageways and Chambers Secret Passages Still Secret Passages The Great Pyramid and Pi Numerology The Nose of the Sphinx Conclusion CHAPTER 3. SCALE FACTORS IN CONSTRUCTION AND ENGINEERING Introduction Order of Magnitude Size versus Strength Forces 1 1 2 4 10 12 12 14 15 17 19 19 19 20 21 24 26 27 30 31 32 33 33 33 35 37</p> <p>ix</p> <p>Building the Pyramid</p> <p>Energy Management Energy Management Cost Scale Factors and the Pyramids Energy Management and the Pyramids Conclusion CHAPTER 4. MOVING BLOCKS Introduction Sledges Wheels Why Things Roll Quarter Circles Quarter Circle Track Block Size Quarter Circle Shape Egyptian Quarter Circles versus Catenaries Time Estimate Conclusion CHAPTER 5. ROLLING BLOCK EXPERIMENT Introduction Manually Moving Heavy Objects Creating the Curve Preliminary Quarter-Circle Evaluation Fabricating a Block Block Specications Building the Quarter Circles First Tests Modications Second Tests Public Demonstration Block Moving Scenario Gross Movements Fine Movement Conclusion CHAPTER 6. LIFTING BLOCKS Introduction Ramp Principles A Practical Ramp Simple Lifting Machines Designing a Practical Raised Fulcrum Lifting Machine Lever Details</p> <p>39 40 41 42 43 45 45 45 46 48 50 52 55 59 60 62 63 65 65 65 67 68 69 69 70 72 72 73 75 80 80 82 85 87 87 87 89 93 93 96</p> <p>x</p> <p>Table of Contents</p> <p>Supporting Evidence Forensic Analysis of the Mystery Tool Miscellaneous Points Time Estimate Conclusion CHAPTER 7. QUARRYING BLOCKS Introduction Limestone Practical Limestone Information Available Tools Quarrying Blocks Using the Standard Methods Alternative Quarrying Methods Spear-Chisel Performance Removing the Block Miscellaneous Notes First-Order Time Estimate to Build the Great Pyramid Discussion Conclusion CHAPTER 8. ADDITIONAL CONSTRUCTION DETAILS Introduction The Great Pyramids Internal Design Finishing the Casing Stones Machining the Blocks Squaring the Sides Positioning the Top-Most Blocks Order of Assembly Wooden Tool Quantity Available Wood Additional Time Required for Minor Tasks Second-Order Time Estimate to Build the Great Pyramid Realistic Schedule Conclusion CHAPTER 9. SOCIAL CONSIDERATIONS Introduction Egyptian Psychology Available Population Problem Volunteer Workers The Big Picture A Question of Timing Conclusion</p> <p>102 102 104 105 106 107 107 107 108 110 111 114 115 118 120 122 122 123 125 125 126 126 127 130 132 133 134 136 137 138 138 139 141 141 141 142 144 146 149 150</p> <p>xi</p> <p>Building the Pyramid</p> <p>CHAPTER 10. OTHER APPROACHES Introduction Cast In Place Concrete Davidovits versus the Evidence Kites The Standard Theories: Lehner The Standard Theories: Smith Discussion Conclusion CHAPTER 11. CONCLUSION The Approach The Archaeological Evidence Circumstantial Evidence Other Ideas Goals and Objectives Numbers and Engineering Conclusion APPENDIX 1. TABLE OF 100 EGYPTIAN PYRAMIDS APPENDIX 2. COURSE BY COURSE LAYOUT OF AN IDEAL GREAT PYRAMID BUILT WITH IDENTICAL BLOCKS APPENDIX 3. TIME/MOTION ANALYSIS FOR LIFTING A BLOCK Introduction 3-Person, 2-Stroke Lever Analysis 2-Person Considerations Conclusion REFERENCES INDEX</p> <p>153 153 154 158 159 162 164 170 171 173 173 174 176 177 178 179 179 181 187 193 193 194 197 197 199 203</p> <p>xii</p> <p>CHAPTER 1. THE EGYPTIAN PYRAMIDS</p> <p>INTRODUCTIONThis book represents a forensic-engineering exploration of the construction of the Egyptian pyramids. Most archaeologists believe that about 25,000 workers spent about 20 years to build the Great Pyramid (or Khufus Pyramid) at Giza in Egypt over 4,500 years ago (Lehner, 224). But, by closely examining the clues and relics left behind, and by assuming that the Egyptians were intelligent and creative, it is found (conservatively) that about 10,000 workers could have built the Great Pyramid in about 346 days. However, there is evidence that 4,000 workers were used (Lehner, 225). And by using a relaxed production schedule, a value of four to six calendar years is probably a more reasonable estimate. These values are based entirely upon archaeological evidence, logic, common sense, and scientic and engineering principles. Every aspect of pyramid building will be examined in detail. This includes quarrying the blocks, moving the blocks, lifting the blocks, tting the blocks, placing the top-most blocks and nishing the outer casing blocks. It will be shown that each of these challenges can be successfully addressed using the materials and crafts that the Egyptians are known to have possessed. Additionally, tool specications, wood requirements and machine designs will be appraised. Surprisingly, such an analysis has not been done before. Not all of the important factors that allowed the pyramids to be built are directly related to these construction procedures. General pyramid geometry, available worker population, the social effects of large works, and scale factors 1</p> <p>Building the Great Pyramid in a Year</p> <p>in engineering are critically important as well. Lastly, there is the concept of Energy Management or, more simply: work smarter not harder.</p> <p>OTHER BOOKSThere are many, many books and papers about the pyramids. Generally these can be broken into three main classes: picture books, specialized approaches, and archaeological works. Interested readers most often turn to picture books. They provide a general history of the pyramids with many beautiful pictures of Egyptian constructions and antiquities. And without any doubt, Egyptian artifacts can be exquisitely beautiful. Most often these books only briey discuss the mystery of how the pyramids were built. Typically they provide a few pages of speculations that are based on the generally accepted view that it took 25,000 workers about 20 years. Little original work is found here. The specialized approaches usually examine one aspect of pyramid building, often without regard to the archaeological evidence. These writers often have a specic idea that they believe could be applied for moving blocks, or lifting blocks, etc. These works have a very focused approach, typically with application to a single aspect of pyramid building. Unfortunately, while the work is often very imaginative and original, it doesnt match what has been found in Egypt. Nor are these approaches applicable at the massive engineering scale necessary for the Great Pyramid. Some of these will be examined in more detail later. The archaeological works are where the important information comes from. But archaeologists are not engineers. They cannot be expected to recognize important engineering functions of various artifacts or specialized tools. Generally, their works are descriptive. They offer drawings and photographs of things found at the pyramid sites. Of course, since their interest is in archaeology, they tend to focus their effort on items that relate to ancient Egyptian society. Tools that have no obvious function are, naturally, only mentioned in passing. One very important archaeological work is J. P. Lepres The Egyptian Pyramids (1990, McFarland &amp; Company). This is an extremely detailed compilation of information from all of the Egyptian pyramids. Lepre is also extremely precise in his descriptions and drawings. For these reasons his book will be referenced with regularity in the following pages. Note that there are many variations in the spelling of Egyptian names and places. Unless otherwise noted, the spelling that Lepre uses will be incorporated here. It is also important to note that Lepre is an archaeologist, not an engineer or mathematician. As such, there are a number of mathematical errors in his book.</p> <p>2</p> <p>Chapter 1. The Egyptian Pyramids</p> <p>Currently there seems to be increasing interest in the building techniques employed for the Great Pyramid. In particular, Dr. Mark Lehner, in association with the NOVA television program, went to Giza and actually built a small pyramid using the standard methods of sledges and ramps. This work is documented in his book The Complete Pyramids (1997, Thames and Hudson) and of course, the television program, This Old Pyramid. This experiment provides some useful benchmark information that will be examined closely. Additionally, Dr. Lehner is arguably the foremost archaeological authority on pyramid construction today. For that reason, his book is also an important reference. Lastly, there is the very recent book by Dr. Craig Smith, How the Great Pyramid was Built (2004, Smithsonian Books). Dr. Smith is an engineer with experience as a construction executive for public works projects. His book is written from a program managers perspective, or top-down approach, and is oriented to the high-level planning and construction of the Great Pyramid. He relies heavily on Dr. Lehners work as well as that of Dr. Zahi Hawass (secretary general of the Supreme Council of Antiquities and the Director of Excavations at Giza and Bahariya Oasis). Dr. Hawass is generally considered to be a leading archaeological authority on the Giza plateau constructions. It is clearly necessary to address the approaches that are presented in Smiths book. This will be done, in detail, in a later chapter and it will be shown that the standard methods are simply not feasible. For convenience, book references will provide the author and a page number so that the reader will be able to locate the appropriate passage easily. Non-book references will provide an author or internet source and the date. All book and non-book references are fully listed at the end. The approach taken here is different from these other works. Instead of using the standard methods of dragging blocks with sledges and lifting blocks with ramps, new strategies will be developed that will be based on evidence and creativity. There is no doubt that the Egyptian builders were brilliant. The simple fact that their some of their creations have lasted nearly 5,000 years is a testament to their ingenuity and intellect. If we assume from the start that the Egyptians were intelligent, organized and resourceful, the task becomes one of deciphering the clues that they left behind in order to determine the methods they used. It will be found that critical clues have been overlooked or ignored that offer clear and direct insight into the Egyptian construction techniques.</p> <p>3</p> <p>Building the Great Pyramid in a Year</p> <p>THE GREAT PYRAMIDThe Great Pyramid, or Khufus pyramid (occasionally called Cheopss pyramid), at Giza is the largest of the Egyptian pyramids ( Lepre, 129; Smith, 59; Lehner, 14). It was apparently built during his 23-year-reign from 2789 to 2767 BC, or 4772 to 4795 years ago (Lepre, 61; Smith, 59; Lehner, 108). The term apparently is used because it is generally assumed that any pyramid was built during the reign of that particular pharaoh. In the case of the Great Pyramid, there are some who feel that 23 years was not enough time to build such a massive structure. They suggest that the effort took longer and was started before his reign and/or completed afterwards (Lehner, 108). However, there is little supporting evidence for this. And, while this is possible, nearly all scholars accept that the Great Pyramid was really built within the documented 23-year-reign of Khufu. The pyramid is not unscathed by time and vandalism. Virtually all of the casing stones (the outer layer of exquisitely tted and polished limestone blocks) are gone. Only 138 out of about 80,000 casing stones remain (Lepre, 71) and most of these are badly damaged. Only seven are reasonably intact. The pyramidion, or capstone, is also missing. There are some who say that it was never placed (Lepre, 67); however, this seems unlikely and implausible given the precision and attention to detail that was applied to the rest of the pyramid and associated structures. The original height was 485 feet and the base was 763 feet on a side. Until the Eiffel Tower was built in France in 1887, Khufus pyramid stood as the tallest man-made structure in the world. The base still covers over 13 acres. It was composed of 2,500,000 blocks with an average block weight of 5,000 pounds or 2.5 tons and measuring about 4 feet by 4 feet by 2.5 feet. Its volume was over 94 million cubic feet. There were 210 courses (or layers) of block. Curiously, the base-to-height ratio (763/485) is 1.571, or one-half Pi. There are many who think that this is very signicant. Perhaps it is. However, other pyramids have other base-to-height ratios ranging from 1.34 to 2.22 (Lepre, 309). This ratio provides a slope of 51.85 degrees (calculated). Its size can be described but its scale cant be readily imagined. It is beyond colossal. The only way to appreciate the scale of the Great Pyramid is to compare it to something more contemporary. It seems tting to relate it to the Houston Astrodome, which was initially called The Eighth Wonder of the World. Comparing numerical specications is not a good means for visualizing the two structures. Instead simple scale models were made. They were made to N scale, which is 160 to 1, and is a common model-railroad scale. This allows N scale models of people, automobiles and railroad cars to be incorporated to provide accurate visualizations. Figures 1-1 to 1-4 show people, automobiles and a railroad car in relation to the Astrodome as the view is pulled back. Note that the people become nearly invisible. Figures 1-5 to 1-8 keep exactly the same camera 4</p> <p>Chapter 1. The Egyptian...</p>