In a borrow pit, the natural soil was found to have a moist unit weight of 112 pcf. The in- situ water content is 12.0%, and the specific gravity of soil solids is 2.7. The geotechnical engineer has decided to excavate, haul, and compact this soil in a highway embankment fill to a dry unit weight of 115 pcf at an optimum water content of 15%. If 10,000 cubic yard of compacted fill are required: (A) How many cubic yards of borrow material are required to be excavated? (Show all pertinent three-phase diagrams, volume-weight relationships, and calculations.) (B) If the compacted fill later becomes fully saturated by heavy rainfall, without change in the compacted void ratio: Compute the saturated water content and saturated unit weight. (Note: 1 yd" - 27 ft. Show all pertinent volume-weight relationships and calculations.) 10,000 yd³

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Subject is soils mechanics
In a borrow pit, the natural soil was found to have a moist unit weight of 112 pcf. The in-
situ water content is 12.0%, and the specific gravity of soil solids is 2.7. The geotechnical
engineer has decided to excavate, haul, and compact this soil in a highway embankment
fill to a dry unit weight of 115 pcf at an optimum water content of 15%. If 10,000 cubic
yard of compacted fill are required:
(A) How many cubic yards of borrow material are required to be excavated? (Show all
pertinent three-phase diagrams, volume-weight relationships, and calculations.)
(B) If the compacted fill later becomes fully saturated by heavy rainfall, without change
in the compacted void ratio: Compute the saturated water content and saturated
unit weight. (Note: 1 yd³ = 27 ft. Show all pertinent volume-weight relationships and
calculations.)
Existing ground surface
Proposed ground surface
CUT
Air
Water
Typical cross-section through a proposed building site showing locations of proposed cuts and fills.
Solids
Natural
condition
Proposed
building
Excavate
Air
Water
Solids
Being
hauled
10,000 yd³
Add water
and
compact
FILL
Air
Water
Solids
In compacted
fill
Transcribed Image Text:In a borrow pit, the natural soil was found to have a moist unit weight of 112 pcf. The in- situ water content is 12.0%, and the specific gravity of soil solids is 2.7. The geotechnical engineer has decided to excavate, haul, and compact this soil in a highway embankment fill to a dry unit weight of 115 pcf at an optimum water content of 15%. If 10,000 cubic yard of compacted fill are required: (A) How many cubic yards of borrow material are required to be excavated? (Show all pertinent three-phase diagrams, volume-weight relationships, and calculations.) (B) If the compacted fill later becomes fully saturated by heavy rainfall, without change in the compacted void ratio: Compute the saturated water content and saturated unit weight. (Note: 1 yd³ = 27 ft. Show all pertinent volume-weight relationships and calculations.) Existing ground surface Proposed ground surface CUT Air Water Typical cross-section through a proposed building site showing locations of proposed cuts and fills. Solids Natural condition Proposed building Excavate Air Water Solids Being hauled 10,000 yd³ Add water and compact FILL Air Water Solids In compacted fill
Expert Solution
Step 1

Given,

Moist unit weight of borrow soil, γmb = 112 pcf 

Specific gravity of soil, Gs = 2.7 

Dry unit weight of fill soil, γdf = 115 pcf

Volume of fill soil = 10000 cy  

 

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