Quantity Survey and Contract Management PPT as per the VTU syllabus in Civil Engineering Department

1. BAPUJI INSTITUTE OF ENGINEERING & TECHNOLOGY
DEPARTMENT OF CIVIL ENGINEERING
Topic: Estimation of Road work (Earthwork)

2. Road at Cutting
Road at Banking

3. Sectional Area = Area of rectangular portion + Area of two triangular
portions
A = (B x dm)+ 2(0.5 x S dm x dm) = B x dm+ 2 (0.5xSdm 2)
Quantity = Area*Length
Quantity = B dm+ 2 (0.5xS dm 2)

4. Mean Depth = (d1+d2) / 2
d1
d2

5. Methods to Calculate The Quantity of
Earthwork
1. Mid – Sectional Area Method:
Sectional Area = Area of rectangular portion + Area of two triangular portions
A = (B x dm)+ 2(0.5 x S dm x dm) = B x dm+ 2 (0.5xSdm 2)
Quantity = Area*Length
Quantity = B dm+ 2 (0.5xS dm2)

6. Stations or
Chainage
Height
or
Depth
Mean
Height
or
Depth
“d”
Area of
Central
portion
Bd
Area of
sides
Sd2
Total
Sectional
Area
Bd+Sd2
Length
between
stations
“L”
Quantity
Embankment Cutting

7. Area of Side sloping surface:
The Mean Sloping Breadth = √(Sd2+d2)
Area of both side slopes = 2* d√(S+1)

8. 2. Mean Sectional Area Method:
Sectional Area = Area of rectangular portion + Area of two triangular
portions
Sectional area at one end, A1 = B x d1 +S d1
2
Sectional area at other end, A2 = B x d2 +S d2
2
Mean Sectional Area = (A1+A2)/2
Quantity = (A1+A2)/2 * L
Stations
or
Chainage
Height
or Depth
“d”
Area of
Central
portion
Bd
Area
of
sides
Sd2
Total
Sectional
Area
Bd+Sd2
Mean
Sectional
Area
Length
between
stations
L
Quantity
Embankment Cutting

9. 3. Prismoidal Formula Method:
Where, A1 = Area of Cross Section at one end, A1 = Bd1 +Sd1
2
A2 = Area of Cross Section at other end, A2 = Bd2 +Sd2
2
Am = Area of cross Section at Middle, Am = Bdm +Sdm
2
“Quantity or Volume = L/6 (A1+A2+4Am)”
Mean Depth, dm = (d1+d2) / 2

10. Calculate the quantity of earthwork for 200mtr length for a portion of
road in an uniform ground the heights of banks at the two ends being
1.00m and 1.60m. The formation width is 10mte and side slopes 2:1
(H:V). Assume that there is no transverse slope.

11. Calculate the area of the side slopes of portion of a bank for a length
of 200mtr and the heights of banks at the two ends being 2.50m and
3.50m and the ratio of the side slopes is 2:1
If the side slopes are to be provided with 15cm thick stone pitching,
calculate the cost of pitching at rate of Rs. 150/m3

12. Reduced Level (RL) of ground along the center line of a proposed road
from chainage 10 to chainage 20 are given below. The formation level
at the 10th chainage is 107 and the road is in downward gradient of 1
in 150 Upto the chainage 14 and then the gradient changes to 1 in 100
downward. Formation width of road is 10mtr and side slopes of
banking are 2:1 (H:V). Length of the chain is 30mtr.
i. Draw the longitudinal section of road and typical C/S and prepare
an estimation of earthwork at the rate of Rs. 275 per cu mtr.
ii. Find also the area of the side slopes and the cost of turfing the
side slopes at the rate of Rs. 60 per sq.mtr

13. Datum line 100

16. Depth of
Cutting
- - - - - - - - - - -
Height of
bank
2.00 1.2 1.16 0.5 0.78 1.60 0.6 1.20 0.38 0.7 1.10
RL of
formation
107.00
106.80
106.60
106.40
106.20
105.90
105.60
105.30
105.00
104.70
104.40
RL of
Ground
105.00
105.60
105.
44
105.
90
105.
42
104.
30
105.
00
104.
10
104.
62
104.
00
103.30
Distance in
mtrs
300 330 360 390 420 450 480 510 540 570 600
Chainage 10 11 12 13 14 15 16 17 18 19 20

17. Estimate the cost of earthwork for a portion of road for 400mtr length
from the following data:
Formation width of the road is 10meter . Side slopes are 2:1 in banking
1 ½ : 1 in cutting.
Station 25 26 27 28 29 30 31 32 33 34 35
Distance
1000
1040
1080
1120
1160
1200
1240
1280
1320
1360
1400
RL of
ground
51.00
50.90
50.50
50.80
50.60
50.70
51.20
51.40
51.30
51.00
50.60
RL of
formation
52.0
0
Downward gradient of 1 in 200

20. Depth of
Cutting
Height of
bank
1.00
RL of
formation
52.00
RL of
Ground
51.00
50.90
50.50
50.80
50.60
50.70
51.20
51.40
51.30
51.00
50.60
Distance in
mtrs
1000
1040
1080
1120
1160
1200
1240
1280
1320
1360
1400
Chainage 25 26 27 28 29 30 31 32 33 34 35

22. Stations or
Chainage
Height
or
Depth
Mean
Height
or
Depth
“d”
Area of
Central
portion
Bd
Area of
sides
Sd2
Total
Sectional
Area
Bd+Sd2
Length
between
stations
“L”
Quantity
Embankment Cutting

23. Estimate the cost of earthwork for a portion of road from the following
data. Formation width is 8m, side slope 2:1 in filling and 1.5:1 ion
cutting. Cost of filling is Rs. 180/m3 and cutting is 120/m3.
Station 0 40 80 120 160 200 240 280
RL of ground 100.60 100.20 99.80 100.20 100.80 101.90 102.40 102.50
RL of
formation
101.00 Rising gradient of 1 in 400