A relatively loose, uncompacted sandy fill that is originally 6 ft in thickness is found to have a relative density of 40%. Laboratory tests have indicated that the minimum and maximum void ratios of the sandy soil are 0.46 and 0.90, respectively; and the specific gravity of the soil solids is 2.65. (A) Determine the dry unit weight of the loose sand. (Show all pertinent volume-weight relationships and calculations.) (B) Determine the new thickness and dry unit weight of the fill (originally 6-ft thick) if the sandy soil is compacted to relative densities of 50%, 60%, 70%, 80%, 90%, and 100%, respectively. (Notes: The surface area of the fill over which the compaction process takes place in the field remains virtually constant. Also, show all pertinent volume-weight relationships and calculations.) (C) Plot the variation of fill thickness with relative density using MS Excel software, and draw a brief 2-line conclusion. (D) Plot the variation of dry unit weight with relative density using MS Excel software, and draw a brief 2-line conclusion.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Subject is soils mechanics
A relatively loose, uncompacted sandy fill that is originally 6 ft in thickness is found to
have a relative density of 40%. Laboratory tests have indicated that the minimum and
maximum void ratios of the sandy soil are 0.46 and 0.90, respectively; and the specific
gravity of the soil solids is 2.65.
(A) Determine the dry unit weight of the loose sand. (Show all pertinent volume-weight
relationships and calculations.)
(B) Determine the new thickness and dry unit weight of the fill (originally 6-ft thick) if
the sandy soil is compacted to relative densities of 50%, 60%, 70%, 80%, 90%, and
100%, respectively. (Notes: The surface area of the fill over which the compaction
process takes place in the field remains virtually constant. Also, show all pertinent
volume-weight relationships and calculations.)
(C) Plot the variation of fill thickness with relative density using MS Excel software, and
draw a brief 2-line conclusion.
(D) Plot the variation of dry unit weight with relative density using MS Excel software,
and draw a brief 2-line conclusion.
Uncompacted fill
A
6'
Compacted fill
A
Transcribed Image Text:A relatively loose, uncompacted sandy fill that is originally 6 ft in thickness is found to have a relative density of 40%. Laboratory tests have indicated that the minimum and maximum void ratios of the sandy soil are 0.46 and 0.90, respectively; and the specific gravity of the soil solids is 2.65. (A) Determine the dry unit weight of the loose sand. (Show all pertinent volume-weight relationships and calculations.) (B) Determine the new thickness and dry unit weight of the fill (originally 6-ft thick) if the sandy soil is compacted to relative densities of 50%, 60%, 70%, 80%, 90%, and 100%, respectively. (Notes: The surface area of the fill over which the compaction process takes place in the field remains virtually constant. Also, show all pertinent volume-weight relationships and calculations.) (C) Plot the variation of fill thickness with relative density using MS Excel software, and draw a brief 2-line conclusion. (D) Plot the variation of dry unit weight with relative density using MS Excel software, and draw a brief 2-line conclusion. Uncompacted fill A 6' Compacted fill A
Expert Solution
Step 1

Data given

relative density, ID = 40%

thickness, H = 6 ft

emin = 0.46

emax = 0.90

G = 2.65

Find

(a) dry unit weight of loose sand

(b) new thickness and dry unit weight for different relative densities

(c) Plot variation of thickness with relative density

(d) Plot variation of dry unit weight with relative density

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