A proposed road is to be built along a 15km stretch. The figures below show the profile and sections for excavation and backfilling. 1) ROAD PROFILE EXISTING GRADE REQUIRED ROAD GRADE CUT FILL -9.0km- -6.0km- SECTION FOR BACKFILLING (AREA = (1/2)*(B+B2)*(HEIGHT OF SECTION)) -10.0m- REQO ROAD GRADE FILL SECTION FOR EXCAVATION (AREA = (1/2)*(B,+B2)*(HEIGHT OF SECTION)) EXSITING GRADE CUT REGD ROAD GRAD 10.0m- ***Note: Volume for fill must be computed separately from volume for cut. Volumes for cut and fill shall be computed using the end area method for volume computation as given in the equations below. Volume for backfill = (1/2) • (A. + A2) * (Le) Where: A, = The area of the section at the start of the fill portion Az = The area of the section at the end of the fill portion Lf = Length of sections in fill shown in the road profile Volume for excavation = (1/2) • (A. + A2) * (L.) Where: A, = The area of the section at the start of the cut portion Az = The area of the section at the end of the cut portion L = Length of sections in cut shown in the road profile 1.a) Determine the quantity for Backfilling (m³) 1.b) Determine the quantity for Excavation (m) -3.0m- 2.0mt SEE ROAD

Fundamentals Of Construction Estimating
4th Edition
ISBN:9781337399395
Author:Pratt, David J.
Publisher:Pratt, David J.
Chapter4: Measuring Site Work, Excavation, And Piling
Section: Chapter Questions
Problem 11RQ
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A proposed road is to be built along a 15km stretch. The figures
below show the profile and sections for excavation and backfilling.
1)
ROAD PROFILE
EXISTING GRADE
REQUIRED ROAD GRADE
CUT
FILL
-9.0km-
-6.0km-
SECTION FOR BACKFILLING (AREA = (1/2)*(B1+B2) *(HEIGHT OF SECTION))
-10.0m-
REQD ROAD GRADE
FILL
SECTION FOR EXCAVATION (AREA = (1/2)*(B,+B2)*(HEIGHT OF SECTION))
EXSITING GRADE
CUT
10.0m-
***Note: Volume for fill must be computed separately from volume for cut.
Volumes for cut and fill shall be computed using the end area method for volume
computation as given in the equations below.
Volume for backfill = (1/2) • (A. + A2) * (Le)
Where: A, = The area of the section at the start of the fill portion
Az = The area of the section at the end of the fill portion
Lf = Length of sections in fill shown in the road profile
Volume for excavation = (1/2) * (A. + A2) * (L.)
Where: A, = The area of the section at the start of the cut portion
Az = The area of the section at the end of the cut portion
L = Length of sections in cut shown in the road profile
1.a) Determine the quantity for Backfilling (m³)
1.b) Determine the quantity for Excavation (m³)
-3.0m-
2.0mt
SEE ROAD
PROFILE FOR
Transcribed Image Text:A proposed road is to be built along a 15km stretch. The figures below show the profile and sections for excavation and backfilling. 1) ROAD PROFILE EXISTING GRADE REQUIRED ROAD GRADE CUT FILL -9.0km- -6.0km- SECTION FOR BACKFILLING (AREA = (1/2)*(B1+B2) *(HEIGHT OF SECTION)) -10.0m- REQD ROAD GRADE FILL SECTION FOR EXCAVATION (AREA = (1/2)*(B,+B2)*(HEIGHT OF SECTION)) EXSITING GRADE CUT 10.0m- ***Note: Volume for fill must be computed separately from volume for cut. Volumes for cut and fill shall be computed using the end area method for volume computation as given in the equations below. Volume for backfill = (1/2) • (A. + A2) * (Le) Where: A, = The area of the section at the start of the fill portion Az = The area of the section at the end of the fill portion Lf = Length of sections in fill shown in the road profile Volume for excavation = (1/2) * (A. + A2) * (L.) Where: A, = The area of the section at the start of the cut portion Az = The area of the section at the end of the cut portion L = Length of sections in cut shown in the road profile 1.a) Determine the quantity for Backfilling (m³) 1.b) Determine the quantity for Excavation (m³) -3.0m- 2.0mt SEE ROAD PROFILE FOR
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