An irrigation distributory of the following dimensions is to be provided from ch. 0 to ch. 1000 downward. Ground has longitudinal slope 1 in 500 downward. GL. At ch. 0 is 400.00 and CBL is 398.00. Calculate the levels at 100 m intervals, record them in the table and calculate the earth work for distributory.

Solution:




Calculation of earthwork

B = 2, S = 1
Chainage
m
Height or Depth Differ
GL & CBL
Mean height or depth
d/m
Central area
B x d
M2
Area of sides
Sd2
M2
Total Sectional area
Bd + Sd2
M2
Distance between two stationsL
M
Quantity  of earth work
Bd + Sd2
Cu.m.

0
2.00
-
-
-
-
-
-
100
1.90
1.95
3.90
3.802
7.702
100
770.2
200
1.80
1.85
3.70
3.423
7.123
100
712.3
300
1.70
1.75
3.50
3.062
6.562
100
656.2
400
1.60
1.65
3.30
2.723
6.023
100
602.3
500
1.50
1,55
3.10
2.402
5.502
100
550.2
600
1.40
1.45
2.90
2.107
5.007
100
500.7
700
1.30
1.35
2.70
1.823
4.523
100
452.3
800
1.20
1.25
2.50
1.563
4.063
100
406.3
900
1.10
1.15
2.30
1.322
3.622
100
362.2
1000
1.00
1.05
2.10
1.103
3.203
100
320.3
                                                                                          Total
5233.0 Cum.