561-Chapter3(Planning for Earthwork Equipments)
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Transcript of 561-Chapter3(Planning for Earthwork Equipments)
Chapter 3
Planning for Earthwork
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Planning for Earthwork Construction
Planning for Earthwork Construction
Every construction project is a
unique undertaking. Therefore, unique undertaking. Therefore,
planning is undertaken to
understand the problems and to
develop courses of action.
Planning Earthwork Construction
• Review the Contract Documents
• Study the plans
• Plan the Work• Plan the Work
• Perform quantity take-off
• Determine costs
Planning Earthwork
Construction
A site visit is strongly recommended
to relate the physical site
characteristics to the work details.characteristics to the work details.
Planning Earthwork
Construction
After the site visit is completed, the
planner determines the quantity of
materials that will have to be furnish materials that will have to be furnish
or move.
The takeoff or
"quantity survey."
Quantity Take-off
available
Must be as accurate as possible,
and should be based on all
available
engineering and
design data.
Planning Earthwork
Construction
During the takeoff, the planner
must make decisions concerning:
– equipment needs
– sequence of operations
– and crew size
Graphical Presentation of Earthwork
Three kinds of views are presented in the contract documents to show earthwork construction features:earthwork construction features:
– Plan view
– Profile view
– Cross section view
Plan ViewThe plan view is looking down on the
proposed work and presents the
horizontal alignment of features
Profile View
The profile view is a cut view typically
along the centerline of the work.
It presents
the vertical the vertical
alignment of
features.
Cross Section View
A view formed by a plane cutting the
work at a right angle to its long axis
– When the ground surface is regular, – When the ground surface is regular,
sections are typically taken at every
full station (100 ft)
– When the ground is irregular,
sections must be taken at closer
intervals & at points of change
Earthwork Quantities
Earthwork computations involve:
• Calculation of earthwork
volumesvolumes
• Balancing of cuts and fills
• Planning of the most
economical material hauls.
End-Area
Determination
Most organizations use
commercial computer software
and digitizing tablets to calculate and digitizing tablets to calculate
cross section end areas.
www.trimble.com/paydirt.html
www.agtek.com/about.shtm
End-Area
Determination
Other methods include the use of a
planimeter, subdivision of the area
into geometric figures with into geometric figures with
definite formulas for areas
(rectangles, triangles, parallelograms
and trapezoids), and the use of the
trapezoidal formula.
Trapezoidal
ComputationsIf the calculations must be made by hand, the area formula for a triangle and a trapezoid are used to compute the volume.the volume.
Area of a triangle = ½ hw
Area of a trapezoid = w)hh(
×+
2
21
General Trapezoidal
Formula
Area = wh
h...hhh n
)n( ×
+++++
−
22121
0
22
Average End Area
Method
Volume [net cy] =272
21L)AA(
×+
Assumes that the ground between
the two end areas changes in a linear
fashion.
272
Average End Area
Average End Area
Average End Area
Net Volume
• Bank cubic yards (bcy)
• Loose cubic yards (lcy)
• Compacted cubic yards (ccy)• Compacted cubic yards (ccy)
bcy lcy ccy
Mass Diagram
Earthmoving is basically an
operation where material is
removed from high spots and removed from high spots and
deposited in low spots with the
“making up” of any deficit with
borrow or the wasting of excess
cut material.
Mass Diagram
The mass diagram is an excellent
method of analyzing linear
earthmoving operations.
It is a graphical means for
measuring haul distance (stations)
in terms of earthwork volume
(cubic yards).
Mass Diagram
Aids in identifying:
• Where to utilize specific types
of equipment,
• Where quantities of material
are required,
• Average haul distance,
• Haul grades.
Earthwork Volume Calculation Sheet
An earthwork volume sheet, can
easily be constructed using a
spreadsheet program. It permits spreadsheet program. It permits
a systematic recording of
information and completing the
necessary earthwork calculations
Earthwork Volume Calculation Sheet
Table 3.1, page 73
Stations. Column 1 is a listing of all
stations at which cross-sectional areas
have been recorded.
Area of cut. Column 2 is the cross-
sectional area of the cut at each station.
Usually this area must be computed
from the project cross sections.
Area of fill. Column 3 is the cross-sectional
area of the fill at each station. Usually this
area must be computed from the project
cross sections. Note there can be both cut
and fill at a station.
Volume of cut. Column 4 is the volume of
cut between the adjacent preceding
station and the station. This is a bank
volume.
Volume of fill. Column 5 is the volume of
fill between the adjacent preceding
station and the station. The average-end-
area formula, This is a compacted
volume.
STRIPPING
For cut sections subtract the stripping.For cut sections subtract the stripping.
STRIPPING
For fill sections the stripping is a cut quantity; plus an equal amount mustbe added to the embankment quantity.quantity.
Column 6 is the stripping volume of
topsoil over the cut between the
adjacent preceding station and the
station. This represents a bank
volume of cut material. Topsoil volume of cut material. Topsoil
material is not suitable for use in the
embankment.
Column 7 is the stripping volume of
topsoil under the fill between the
adjacent preceding station and the
station. The stripping is a bank volume
but it also represents an additional
requirement for fill material, compacted requirement for fill material, compacted
volume of fill.
Column 8 is the total volume of cut
material available for use in embankment
construction. It is derived by subtracting
the cut stripping (column 6) from the cut
volume (column 4), both are bank volume
quantities.
Column 9 is the total volume of fill
required. It is derived by adding the fill
stripping (column 7) to the fill volume
(column 5), both are compacted volume
quantities.
Column 10 is the total fill volume
converted from compacted volume to
bank volume
Column 11 is the
difference between
column 10 and column
8. This indicates the
volume of material that
is available (cut is is available (cut is
positive) or required
(fill is negative) within
station increments after
intrastation balancing.
Column 12 is the running total of
column 11 values from some point of
beginning on the project profile.
Mass Ordinate
MASS DIAGRAM PLOTTING
0
500
1000
- 500
- 1000
Horizontal scale (stations)
0 + 00 1 + 00 2 + 00 3 + 00 4 +00 5 + 00 6 + 00
MASS DIAGRAM PLOTTING
STATION 0+50- 138 CY
1000
500
0
- 500
- 1000
0 + 00 1 + 00 2 + 00 3 + 00 4 +00 5 + 00 6 + 00
MASS DIAGRAM PLOTTING
STATION 1 +00- 405 CY
500
1000
0
0 + 00 1 + 00 2 + 00 3 + 00 4 +00 5 + 00 6 + 00
- 405 CY
- 500
- 1000
MASS DIAGRAM PLOTTING
STATION 3 +50518 CY
500
1000
0
- 500
- 1000
0 + 00 1 + 00 2 + 00 3 + 00 4 +00 5 + 00 6 + 00
MASS DIAGRAM PLOTTING
CONNECT THEPOINTS
500
1000
0
- 500
- 1000
0 + 00 1 + 00 2 + 00 3 + 00 4 +00 5 + 00 6 + 00
MASS DIAGRAM
0
500
1000
Embankment requirements
exceeds excavation quantity.
-500
- 1000
0 + 00 1 + 00 2 + 00 3 + 00 4 +00 5 + 00 6 + 00
Descending lines
MASS DIAGRAM
0
500
1000
Ascending lines
-500
- 1000
0 + 00 1 + 00 2 + 00 3 + 00 4 +00 5 + 00 6 + 00
Excavation exceeds embankment requirements
0
500
1000
V
O
L
U
C
C
Y
CUT FILL
MASS DIAGRAM
0
-500
-1000
1+00 2+00 3+00 4+00 5+00 6+00 7+00 8+00
U
M
E
Y
STATIONS
FILL CUT
MASS DIAGRAM
0
500
1000
Zero balance line
-500
- 1000
0 + 00 1 + 00 2 + 00 3 + 00 4 +00 5 + 00 6 + 00
Excavation quantity equals embankment requirement..
MASS DIAGRAM
� Maximum is where the cut
transitions into fill.
Maximum and minimum points
transitions into fill.
� Minimum is where the fill
transitions into cut.
MASS DIAGRAM
0
500
1000
Maximum and minimum points
-500
- 1000
0 + 00 1 + 00 2 + 00 3 + 00 4 +00 5 + 00 6 + 00
Transition point
MASS DIAGRAM
Final position
cy
500 410 cywaste
Stations0 1 2 3 4 5 6 70 1 2 3 4 5 6 7
0
Above the zero line indicates waste.
Below the zero line indicates borrow.
90 cyborrow
MASS DIAGRAM
Is a graphical means for measuring
haul in terms of station yards.
• Ascending lines?
• Descending lines?
• Crossing the zero volume line?
• Max. and min. points?
• Final position?
Economical Haul Distances
Machine type Economical haul distance
Large dozers, Up to 300 ftLarge dozers,
pushing material
Up to 300 ft
Push-loaded scrapers 300 to 5,000 ft
Trucks > than 5,000 ft
Mass Diagram With a Balance Line
Haul DistancesPage 81
Haul Distances
Average haul = area / quantity (cy)
Haul No. 3 quantity -17,080
Haul No. 1 quantity?
Haul Distance0+00 h0 0
1+00 h1 -3,631 -3,631 -1,816
2+00 h2 -13,641 -17,272 -8,636
3+00 h3 -17,080 -30,721 -15,361
4+00 h4 -17,080 -34,160 -17,080
5+00 h5 -17,080 -34,160 -17,080
6+00 h6 -17,080 -34,160 -17,080
7+00 h7 -17,080 -34,160 -17,0807+00 h7 -17,080 -34,160 -17,080
8+00 h8 -17,080 -34,160 -17,080
9+00 h9 -17,080 -34,160 -17,080
10+00 h10 -17,080 -34,160 -17,080
11+00 h11 -17,080 -34,160 -17,080
12+00 h12 -17,080 -34,160 -17,080
13+00 h13 -17,080 -34,160 -17,080
14+00 h14 -8,502 -25,582 -12,791
15+00 h15 0 -8,502 -4,251
0+00 h0 0
1+00 h1 -3,631 -3,631 -1,816
2+00 h2 -13,641 -17,272 -8,636
3+00 h3 -17,080 -30,721 -15,361
4+00 h4 -17,080 -34,160 -17,080
5+00 h5 -17,080 -34,160 -17,080
6+00 h6 -17,080 -34,160 -17,080
7+00 h7 -17,080 -34,160 -17,080
8+00 h8 -17,080 -34,160 -17,080
9+00 h9 -17,080 -34,160 -17,080
Haul
Distance
9+00 h9 -17,080 -34,160 -17,080
10+00 h10 -17,080 -34,160 -17,080
11+00 h11 -17,080 -34,160 -17,080
12+00 h12 -17,080 -34,160 -17,080
13+00 h13 -17,080 -34,160 -17,080
14+00 h14 -8,502 -25,582 -12,791
15+00 h15 0 -8,502 -4,251
-213,654
12.51
Area under diagram
Average haul No. 3 stations
cy08017
cysta654213
,
., −
Consolidated Average Hauls
Using the individual average hauls and
the quantity associated with each, a
project average haul can be calculated.
Consider the three hauls and their sum Consider the three hauls and their sum
of vertical’s average haul distances. By
multiplying each haul quantity by its
respective haul distance a station-yard
value can be determined.
Consolidated Average Hauls
Stations
Haul 1 11,459 bcy 3+51 40,221 sta-cy
Haul 2 5,590 bcy 3+35 18,727 sta-cyHaul 2 5,590 bcy 3+35 18,727 sta-cy
Haul 3 17,080 bcy 12+51 213,654 sta-cy
34,129 bcy 272,602 sta-cy
272,602 sta-cy = 8.0 stations
34,129 bcy
Consolidated Average Hauls
Stations
Haul 1 11,459 bcy 3+51 40,221 sta-cy
Haul 2 5,590 bcy 3+35 18,727 sta-cyHaul 2 5,590 bcy 3+35 18,727 sta-cy
17,049 bcy 58,948 sta-cy
58,948 sta-cy = 3.5 stations
17,049 bcy
Haul 3 17,080 bcy 12.5 stations
Pricing Earthwork
Operations
The cost of earthwork operations
will vary with the kind of soil or will vary with the kind of soil or
rock encountered and the methods
used to excavate, haul, and place
the material in its final deposition.
Spreading Dumped
Embankment
Material with a Dozer
Water Truck and Roller used to
Compaction Embankment
Material
Three-link Earthwork
System
Excavate & loadSpread &
compact
Haul, dump, return