Homework Assignment No 5

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School

Mississippi State University *

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Course

3413

Subject

Mechanical Engineering

Date

Dec 6, 2023

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pdf

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4

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CE 3413 HW#5 1 of 4 CE 3413 H OMEWORK A SSIGNMENT N O . 5 (Due date: 11:59 pm, Monday, October 02, 2023; Total 25 points) 1. A series of standard Proctor tests have been performed on a soil that has a G s of 2.70. The test results obtained are as follows: Test No. Mass of compacted soil + mold (kg) Water content test results Mass of can (g) Mass of can + moist soil (g) Mass of can + dry soil (g) 1 3.673 22.11 205.74 196.33 2 3.798 23.85 194.20 180.54 3 3.927 19.74 196.24 177.92 4 3.983 20.03 187.43 165.71 5 3.932 21.99 199.59 171.11 The mass of the empty mold was 1.970 kg. Mold volume=9.44*10 -4 m 3 (a) Plot the compaction curve as well as S = 100% curve (or zero-air-voids curve) and S = 80% curve. Show your sample calculations for Test No. 1 in your answer sheet. [5 pts]
CE 3413 HW#5 2 of 4 (b) Determine the maximum dry unit weight and optimum water content based on the standard Proctor test. [3 pts] (c) If the required relative compaction is 98% of the maximum dry unit weight from the standard Proctor test, the dry unit weight in the field should be greater than _____________________ kN/m 3 . [2 pts] 16 16.5 17 17.5 18 18.5 19 0 5 10 15 20 25 Dry unit weight, γ d (kN/m 3 ) Water content, w (%) Compaction curve
CE 3413 HW#5 3 of 4 2. A compacted fill, currently under construction, will support a proposed grocery store in Starkville. The project specifications call for dry unit weight of the compacted fill to be at least 95% of the modified Proctor maximum and water content to be within ±2% of the Proctor optimum water content. One of the field density tests in the fill gave a total unit weight ( γ ) of 120 lb/ft 3 and a water content of 12%. A maximum dry unit weight ( γ d,max ) and an optimum water content ( w opt ) of the fill were determined to be 115 lb/ft 3 and 13%, respectively, from a series of modified Proctor tests. (a) Compute the relative compaction based on the modified Proctor test. [3 points] (b) Have all the compaction specifications been met? [2 points]
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CE 3413 HW#5 4 of 4 3. A drive cylinder test has been performed in a recently compacted fill for the embankment at Milwaukee Avenue and State Highway Spur 327. The project specification requires compacted dry unit weight of the fill to be at least 98% of γ d,max from standard Proctor test and water content to be within ±2% of the Proctor optimum water content. The maximum dry unit weight and the optimum water content from the standard Proctor test were 118 lb/ft 3 and 11.5%, respectively. The data obtained from the drive cylinder test were as follows: Cylinder diameter (internal) = 3.0 in Cylinder height (internal) = 6.0 in Weight of wet soil + cylinder = 5.15 lb Weight of dry soil + cylinder = 4.76 lb Weight of empty cylinder = 2 lb (a) What is the field water content? [2 points] (b) What is the field dry unit weight? [3 points] (c) What is the relative compaction ( RC ) in percent? [2 points] (d) Have all the compaction specifications been met? [3 points]