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1. The pyramids in Egypt are really amazing since many were constructed over 5,000 years ago using large limestone and granite blocks as shown in
1. The pyramids in Egypt are really amazing since many were constructed over 5,000 years ago using large limestone and granite blocks as shown in the photos below. Another amazing feature of the blocks is that they were chiseled to very precise dimensions and fit together within 0.01 mm - so I'm told. While these blocks were moved to the pyramids over a distance between 200 to 300 km, at some point they must have had to be "slipped" into placed. We can use the material in Hoek's "Shear Strength of Discontinuities" to determine the block's interface strength. Use the following data to answer the following questions: 20,000 Unit Weight: UCS Limestone 167 pcf 10,000 psi Granite 170 pcf Ob = Or 32 Block Size: Limestone: Granite: 38 127 cm (w) x 127 (L) x 71 cm (H) 1.5 m (W) x 1.5 m (L) x 1.3 (H) a. Provide an explanation why the basic friction of limestone is higher than granite. b. The photos provide below shown weathering of the blocks but at the time they were made I suspect that they were relatively smooth to be able to fit so tightly together. Using the information provided, determine the strength of the block interface for both the limestone and granite assuming that the joint roughness coefficient is 3. c. Assuming an average person can apply a force of 200 pound, how many people would it take to "push" each block into place? Would they have had to have a different way of placing the blocks? d. Even though the residual friction of the limestone is higher than the granite, the granite blocks being larger would take more force to slide into place. What roughness coefficient, Jr, would the limestone blocks need to have to be approximately equal to the granite blocks in regards to pushing them into place
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