The ground levels taken for a road project are as under

Chainage in Meter
0
30
60
90
120
150
180
Ground level in Meter
366.30
367.20
368.10
368.50
369.70
369.00
368.60

The foundation level of a road at starting chainage is 370.00 m. The road surface shall be given a following gradient of 1 in 60 formation width of road is 10 m side slopes 1 in 2 in embankment and 1 ½ : 1 in cutting. There is no cross slope to the ground. Find out the quantities of earth work in embankment and in cutting in appropriate form.

Solution :

Cross Section of banking -



Cross Section of cutting –




ESTIMATE FOR EARTH WORK B = 10m.
Calculation of Quantities                     B = 10, S = 2 for banking and 1 ½ for cutting
Chainage

Height or Depth Diff. of GL. & FL.
Mean height or depth d in m.
Central area
B x d
M2
Area of sides Sd2
M2
Total Sec. area BD+Sd2
M2
Distance Between Two Stations
L         m
Qty. of earth work
(Bd – Sd2) x L
Banking m
Cutting m
0
3.50
-
-
-
-
-
-
-
30
2.30
2.90
29.00
16.82
45.82
30
1374.60
-
60
0.90
1.60
16.00
5.12
21.12
30
633.00
-
90
0.00
0.45
4.50
0.41
4.91
30
147.30
-
120
-1.70
0.85
8.50
1.10
9.60
30
-
288.00
150
-1.50
1.60
16.00
3.84
19.84
30
-
595.20
180
-1.60
1.55
15.50
3.60
19.10
30
-
573.00
  ( - Sign indicates cutting )                                              Bd+Sd    Total
2155.50 Cu.m.
1456.20 Cu.m.