Q4. Table Q4 lists the areas of cross-sections at 20m apart of a road improvement pro Calculate the volume of the earthwork using the End Areas and Prismoidal metho Table Q4 Chainage (m) Cross-sectional area (A) (m) 116.4 2120 2140 162.8 2160 130.4 2180 113 2200 173-5 2220 190.3 2240 299.8 2260 127.4 2280 275-3 2300 155.3 2320 127.2 2340 288.3 2360 2380 130.9 179.2 2400 233-7 2420 116.1
Q4. Table Q4 lists the areas of cross-sections at 20m apart of a road improvement pro Calculate the volume of the earthwork using the End Areas and Prismoidal metho Table Q4 Chainage (m) Cross-sectional area (A) (m) 116.4 2120 2140 162.8 2160 130.4 2180 113 2200 173-5 2220 190.3 2240 299.8 2260 127.4 2280 275-3 2300 155.3 2320 127.2 2340 288.3 2360 2380 130.9 179.2 2400 233-7 2420 116.1
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Q4.
Table Q4 lists the areas of cross-sections at 20m apart of a road improvement project.
Calculate the volume of the earthwork using the End Areas and Prismoidal methods.
Table Q4
Chainage (m)
Cross-sectional area (A) (m³)
116.4
2120
2140
162.8
2160
130.4
2180
113
2200
173.5
2220
190.3
2240
299.8
2260
127.4
2280
275-3
2300
155.3
2320
2340
288.3
2360
2380
130.9
179.2
2400
233-7
2420
116.1
ANSWERS (Q4)
All units are in metres
End-Areas
Prismoidal
n-1
n-1
n-1
Cross-sectional E (A)
(V subtotal)"
A, +2(p)+A 9
E (A)
j=2,4,6,8
E (A)
j=3,5,7
(V subtotal)
Chainage
Area
j=2
A1 +4(q)+2(r)+A 9
(A)
(p)
(q)
(r)
Σ
Σ
(V total)" =½ (L) (V subtotal)
a
(V total)° =% (L)(V subtotal
Grand Total (V) = (V total)" + (V 1otal)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2af8af5-5740-4a5b-be66-af8d228b9569%2Fa49d0c67-b3ea-443f-bec6-be4c9d8eb21f%2F0cnbegd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q4.
Table Q4 lists the areas of cross-sections at 20m apart of a road improvement project.
Calculate the volume of the earthwork using the End Areas and Prismoidal methods.
Table Q4
Chainage (m)
Cross-sectional area (A) (m³)
116.4
2120
2140
162.8
2160
130.4
2180
113
2200
173.5
2220
190.3
2240
299.8
2260
127.4
2280
275-3
2300
155.3
2320
2340
288.3
2360
2380
130.9
179.2
2400
233-7
2420
116.1
ANSWERS (Q4)
All units are in metres
End-Areas
Prismoidal
n-1
n-1
n-1
Cross-sectional E (A)
(V subtotal)"
A, +2(p)+A 9
E (A)
j=2,4,6,8
E (A)
j=3,5,7
(V subtotal)
Chainage
Area
j=2
A1 +4(q)+2(r)+A 9
(A)
(p)
(q)
(r)
Σ
Σ
(V total)" =½ (L) (V subtotal)
a
(V total)° =% (L)(V subtotal
Grand Total (V) = (V total)" + (V 1otal)
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