3) Module 14 - Earthworks The following shows cross-section notes for a road grading work. x1 3.5 x2 -3.2 1.2 1.2 2.8 In addition, the road width is 9m and the side slopes for cut is 1:1 and for fill, 1.5:1. Determine the Volume of CUT and the volume of FILL if the cross-section for earth works is constant all throughout a 31.6m length of road.

Structural Analysis
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Chapter2: Loads On Structures
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Hello, can you please help me resolve this problem? My professor said that my computation of volume and fill is wrong. "Try drawing if you compute using the end area method, your area 1 for cut is correct but what is your area 2 for cut? The same is true with volume computation for fill. Please analyze the meaning of the cross-section for earth works is constant all throughout a 311.6 m length."

Attached here are my computation and the problem given. If possible, please redo the computation. Thank you!

3) Module 14 - Earthworks
The following shows cross-section notes for a road grading work.
3.5
x2
x1
-3.2
1.2
1.2
2.8
In addition, the road width is 9m and the side slopes for cut is 1:1 and
for fill, 1.5:1. Determine the Volume of CUT and the volume of FILL if the
cross-section for earth works is constant all throughout a 31.6m length of
road.
Transcribed Image Text:3) Module 14 - Earthworks The following shows cross-section notes for a road grading work. 3.5 x2 x1 -3.2 1.2 1.2 2.8 In addition, the road width is 9m and the side slopes for cut is 1:1 and for fill, 1.5:1. Determine the Volume of CUT and the volume of FILL if the cross-section for earth works is constant all throughout a 31.6m length of road.
3. Module 14 - Earthworks
The following shows cross-section notes for a road grading work.
x1
3.5
x2
-3.2
1.2
1.2
2.8
In addition, the road width is 9m and the slide slopes for cut is 1:1 and for fill,
1.5:1. Determine the Volume of CUT and the volume of FILL if the cross-section for
earth works is constant all throughout a 31.6m length of road.
Given
х1
3.5
x2
-3.2
1.2
1.2
2.8
Road width = 9 m
%3D
D= 31.6 m
Find the volume
1. Volume of cut
2. Volume of fill
Calculation
9.3
Cut.
(-2!
/Fiy
3. 2
4.3
1.2x03
1.2+12
1.2 + 32
a = 2.54 m
b = 4.5 - a
b = 4.5 - 2.54 = 1.36 m
Area of cut
1242 (3. 8) - -282
-28(2.B)
4 = |
2.54(12)
+ 1. 2(3. 5) +
(12+28)
A = 9.404 m
Area of fill
A
(48+1.96)
(3. 2) -
4.8(12)
A = 3. 136 m
Volume of cut and fill by end area methods
V = 4 xD = 2401
9.404
%3D
x 31. 6
Vcut = 148, 583 m
Vfill = 16. x0 = 3136
x 31. 6
2
2
Vfill = 49, 549 m
Transcribed Image Text:3. Module 14 - Earthworks The following shows cross-section notes for a road grading work. x1 3.5 x2 -3.2 1.2 1.2 2.8 In addition, the road width is 9m and the slide slopes for cut is 1:1 and for fill, 1.5:1. Determine the Volume of CUT and the volume of FILL if the cross-section for earth works is constant all throughout a 31.6m length of road. Given х1 3.5 x2 -3.2 1.2 1.2 2.8 Road width = 9 m %3D D= 31.6 m Find the volume 1. Volume of cut 2. Volume of fill Calculation 9.3 Cut. (-2! /Fiy 3. 2 4.3 1.2x03 1.2+12 1.2 + 32 a = 2.54 m b = 4.5 - a b = 4.5 - 2.54 = 1.36 m Area of cut 1242 (3. 8) - -282 -28(2.B) 4 = | 2.54(12) + 1. 2(3. 5) + (12+28) A = 9.404 m Area of fill A (48+1.96) (3. 2) - 4.8(12) A = 3. 136 m Volume of cut and fill by end area methods V = 4 xD = 2401 9.404 %3D x 31. 6 Vcut = 148, 583 m Vfill = 16. x0 = 3136 x 31. 6 2 2 Vfill = 49, 549 m
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