HW 10

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University of Texas, Rio Grande Valley *

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3475

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Civil Engineering

Date

Dec 6, 2023

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pdf

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10

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27 November 2023 Yaletsi Guerrero 1201 W University Dr. Edinburg, TX 78539 Dr. Thuy Vu Chief Engineer CIVE 3475 Geotechnical Engineer and Applications ASB 1.207 University of Texas Rio Grande Valley Edinburg, TX 78539 Homework No. 10 Dear Dr. Vu If you have any questions about my homework assignment please contact me at (361) 424-5720. I have attached photos of my work for each question. Sincerely, Yaletsi Guerrero Civil Engineer Student (361) 424-5720 yaletsi.guerrero01@utrgv.edu
1. The angle of internal friction of a dry sand is 32°; the cohesion is zero. The sample was tested in a direct shear apparatus with a 2 inch by 2 inch square specimen, 0.5 inches in height. A normal load of 1000 pounds was applied to the specimen. What shear stress will be required to fail the specimen? Express your answer in units of pounds per square foot.
2. A sample of dense sand has an angle of internal friction of 39° and no cohesion. (a)What shear stress would be required to fail a specimen of the sand in a direct shear test if the normal stress is 50 psi? (b)What principal stress difference (which is 1 - 3) would be required to a fail a specimen of the sand in a triaxial compression test if the confining pressure ( 3 ) is 50 psi?
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3. A specimen of sand fails in a direct shear test when the normal stress is 10000 psf and the shear stress is 5500 psf. Calculate the angle of internal friction for the sand.
4. A specimen of sand, 2 inches in diameter, is to be tested in a triaxial cell using a confining (cell) pressure of 100 psi. What axial force would need to be applied through the load piston of the triaxial cell to fail the sand if the angle of internal friction is 36°? The cohesion is zero. Express your answer in pounds.
5. Three triaxial compression tests were performed on specimens of sand using consolidated-drained (S) test procedures. At failure, the following information is known from the three tests: Plot the Mohr’s circles of stress at failure. Assume that the sand has no cohesion and determine as best you can the angle of internal friction of the sand. An unconsolidated-undrained triaxial compression test was performed on a 2.80-in diameter specimen of saturated clay. A confining (cell) pressure of 20 psi was used. At failure, the load applied through the piston was 20 lb. (a)Determine the undrained shear strength (c) of the clay. Express your answer in both psi and psf. (b)What load would have to be applied to the load piston of the triaxial cell to fail an identical sample of the same clay with a cell (confining) pressure of 40 psi? (hint: based on Morh Coulomb failure envelope of UU Test)
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6. Do problem 12.20 in Coduto These are essential geotechnical characteristics that offer vital details regarding the soil's behavior and shear strength. They are employed in many soil mechanics investigations and design computations, including foundation design, slope stability analysis, and bearing capacity analysis . Precise values of c' and φ' are necessary to evaluate the mechanical characteristics of the soil and how it reacts to loads applied. It is often advised to give priority to attaining values of "c'" and "φ'" while designing a building's foundation on wet clay. In cohesive soils (clays), "su" is usually significant when undrained conditions are anticipated, as in quick clay or during rapid loading events. Undrained shear strength is more relevant in scenarios where the soil is subjected to loading without sufficient time for drainage to occur, leading to undrained conditions. This parameter is primarily used for stability analysis of slopes in cohesive soils and for assessing the behavior of soil during construction activities. Given that the new building will have spread footing foundations underlain by saturated clay, it's more crucial to understand the general shear strength characteristics of the clay, which are represented by "c'" and "φ'". These parameters will be used to determine the soil's bearing capacity, settlement analysis, and foundation design. "su" would be more relevant in specific situations where rapid loading or undrained conditions are expected, but it's not the primary focus for a typical building foundation design. 7.Do problem 12.21 in Coduto When you were going far deeper excavations, there should be checked for stability because it will try to slide the entire mass of its cohesion properties are less compared to estimated values for saturated clays. The maximum depth of excavation can be.[2cu/tsat]. Slowly the forces try to weaken the surrounding mass and it’s stability reduces. I don’t agree it is safe because short term loading causes can’t be the finalized stability condition. It will take some time to consolidate which will initiate cracks.
8. .Do problem 12.32 in Coduto 9. Do problem 12.37 in Coduto sands are non cohesive in nature and they do no bind with each other. the non binding of grains allow voids into the soil. The condition is considered as drained condition due to presence of voids in the sands as every void in sands allow moisture to get through the voids. the non cohesive nature of sands is the significant parameter in drainage of moisture as grains slide over each other at any rate of compaction. the condition is considered as drained due to non cohesive nature of sand.
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