CM 3503 Module 4 Assignment

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Louisiana State University *

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3503

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Mechanical Engineering

Date

Apr 3, 2024

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docx

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3

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CM 3503 Module 4 Assignment Instructions 1. Using the diagram and table below, determine total stress (σ), pore water pressure (µ), effective stress (σ’), and shear strength (τf) at points A, B, C, D, and E. Note: Drawing is NOT to scale. Layer No. Dry Unit Weight (pcf) Sat. Unit Weight (pcf) C’ (psf) Φ’ (degrees) H1 H2 H3 H4 1 114 0 35 5 2 110 3 6 17 3 123 0 32 21 4 108 5 12 38 A. Stress=0 Pore water pressure=0 Effective stress=0 Shear strength=0 B. Stress=789 Pore water pressure= 0 Effective stress= 756 Shear strength= 470 C. Stress=2374 Pore water pressure=0 Effective stress=2562 Shear strength= 771 D. Stress= 4904 Pore water pressure=1398 Effective stress= 3486 Shear strength= 2448
E. Stress=12895 Pore water pressure= 5329 Effective stress=7469 Shear strength= 1185 2. Assuming the cell tower weighs 250,000 lbs, calculate the maximum vertical stress increase at location A under the building corner due to the weight of the cell tower. Note: Drawing is NOT to scale. Maximum vertical stress=152.65 3. Determine I 3 and then determine the stress increase at Points A and B due to the embankment. Note: Drawing is NOT to scale. stress increase=682pcf 4. Assuming the load exerted (P) by the foundation is 750,000 lbs., determine I 4 , q, and the increase in vertical stress at a depth of 10 feet below points A and B. Note: Drawing is NOT to scale. q = 500 lb/ft I4=20.7 lb/ft Increase in vertical stress A=59.55 lb/ft Increase in vertical stress B=99.95 lb/ft
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