Benha University
Shoubra Faculty of Engineering
Surveying Engineering Department
Answer all the following questions
Illustrate your answers with sketches when necessary
Surveying 1
ASSIGNMENT ( 5 )
2021-2022
Dimensions are in meters
Assume any missing data
1- Explain what is mean by temporary and permanent adjustment of a level.
2- Explain how you would check a level for adjustment using the two-peg test.
3- Four stations P, Q, R and S were set out in a straight line such that PQ = QR + RS = 30m. A
tilting level was set up at P and readings of 2.148m and 1.836m were observe on a staff held
vertically at Q and R, respectively. The level was than set up at S and readings of 2.013 m
and 1.755 m were observe on the staff held vertically in turn at stations Q and R. The bubble
was adjusted to be at centre of its run for each reading. Check the overall adjustment of the
level.
4- A Dumpy level was set up at ( E ) exactly midway between two points ( C ) and (D) 120m
apart. The readings on the staff held on ( C ) and (D) were 2.00m and 3.00m respectively.
The instrument was then moved up and set up at a point (F) such that CF= 140m and DF=
20m. The respective staff readings on ( C ) and ( D) to give a horizontal line of sight.
5- In leveling between two points A and B on opposite banks of a river, the level was set up near
A, and the staff readings on A and B were 1.285 and 2.860m respectively. The level was then
moved and set up near B and the respective readings on A and B were 0.860 and 2.220m.
Find the true difference of level between A and B.
6- The following observations were made during the testing of a Dumpy level.
Instrument at
Staff reading on A
Staff reading on B
A
1.722m
2.244m
B
2.146m
3.044m
Distance AB = 150m. Is the instrument in adjustment? To what reading should the line of
collimation e adjusted when the instrument was at B? It the R.L. of A = 432.052m, what should
be the R.L. of B?
7- In the two peg test of a Lecia level the following observations are taken:
Instrument at
Staff reading on A
Staff reading on B
M
3.612m
3.248m
P
1.862m
0.946m
M is equidistant from A, B – P is 20m from A and 120m from B. what is the true difference in
elevation between the 2 points. With the level in the same position at P what rod reading on B
should the line of sight is adjusted. Check these reading against the true difference in elevation
previously determined
Benha University
Shoubra Faculty of Engineering
Surveying Engineering Department
Answer all the following questions
Illustrate your answers with sketches when necessary
Surveying 1
ASSIGNMENT ( 5 )
2021-2022
Dimensions are in meters
Assume any missing data
1- Differential leveling observations were taken as shown below, use (HPC) and (Rise
and Fall) methods. Applying the usual arithmetic checks and identifies closure error
BS
1.548
3.145
2.014
IS
FS
DISTANCE(m)
000
150
250
350
500
750
800
950
1050
1200
2.487
1.254
2.015
3.598
1.256
3.145
2.148
2.145
2.659
1.568
2.154
1.459
Remarks
BM1(95.5m) Staff Inverted
Staff Inverted
Staff Inverted
BM2(93.104m)
2- Calculate the reduced levels of points from the following observations by two
methods and do the arithmetic check of this leveling and identifies closure error.
Point
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
BS
1.558
3.214
2.051
2.658
IS
FS
2.540
2.987
0.214
2.148
1.580
1.658
2.547
1.659
1.570
2.365
1.325
2.587
3.254
1.574
1.985
2.356
2.140
1.258
2.365
2.547
2.357
0.257
Distance (m)
0
20
150
300
750
1200
1500
1900
2200
2500
3000
3100
3800
3900
4000
Rem.
BM1 (10.25m)
Staff Inverted
Staff Inverted
Staff Inverted
BM2 (10.755m)
Benha University
Shoubra Faculty of Engineering
Surveying Engineering Department
Answer all the following questions
Illustrate your answers with sketches when necessary
Surveying 1
ASSIGNMENT ( 5 )
2021-2022
Dimensions are in meters
Assume any missing data
3- The leveling observations were taken as shown below, use (HPC) and (Rise and
Fall) method with applying the usual arithmetic checks and identify closure error.
BS
1.254
2.148
IS
FS
DISTANCE
REMARKS
BM205(25.785m)
1.95
1.547
3.050
Staff Inverted
.982
2.48
1.58
1.48
Staff Inverted
Staff Inverted
2.458
3.478
2.876
1.68
2.478
0.458
BM205(26.460m)
4- Calculate the levels of points from the following observation by use method (height
of instrument) and (rise and fall) also do the arithmetic check of this leveling
Point
1
2
3
4
5
6
7
8
9
10
BS
1.579
IS
1.295
1.873
2.018
1.884
1.625
2.441
1.807
1.495
FS
Distance (m)
0
20
150
300
750
1200
1.00
1500
1900
2200
1.020
2500
Rem.
BM1 (11.25m) Staff Inverted
Staff Inverted
Staff Inverted
BM2 (7.215m)
Benha University
Shoubra Faculty of Engineering
Surveying Engineering Department
Answer all the following questions
Illustrate your answers with sketches when necessary
Surveying 1
ASSIGNMENT ( 5 )
2021-2022
Dimensions are in meters
Assume any missing data
1-Given below the levels on the center line of tunnel. If the proposed construction line
begins at a point of (13.30m) level and with 1:50 downword grade up to a distance
of(80.0m) and then horizontal up to (120m) and then with 1:50 upword grade to the end of
the line.
a- draw a longitudinal section to scale 1:2000 horizontal, showing the proposed
construction line
b- compute the earth work, if the width of tunnel is 25m and the sides are vertical
Distance(m)
0
20
40
60
80 100 120 140 160 180 200
Level(m)
15.4 17.2 17.3 16.7 16.9 16.9 17.2 17.3 17.3 17.1 16.6
2- Given below the level taken on the center line of swimming bas in whose breadth is 20m
and length 50m. Its depth at zero is 0.8m with a down grade 1:20 from zero to 30m, then
2:5 down grade from 30 to 35m, then horizontal from 35 to 50m.
a- Draw longitudinal sec. showing profile of ground and line of construction of the basin
taken into consideration that upper edge is at R.L. (28.00)
b- Compute volume of cut assuming that sides are vertical
c- Area of tiles to cover the sides and base of the basin
d- Volume of water in the basin, when the water level is at elevation of 27.75m
Distance(m)
0
05 10 15 20 25 30 35 40 45 50
Level(m)
28.1 28.5 28.3 28.3 28.6 28.0 28.1 28.3 27.8 27.9 28.2
3-The following levels were taken on the center line of a part of proposed highway
000
50
100
150
200
250
300
350
400
Distance(m)
16.5 15.9
15.7
16.0
15.2
14.8
15.0
14.3
14.4
Level(m)
Draw the profile and the line of construction with suitable horizontal and vertical scales. If
the grade of proposed line of construction is 1:400 upwards and it begins from a point at an
elevation of (15.0 m) at the zero distance. Calculate the volumes of cut and fill for the
proposed highway if its width is 10 m and side slopes 2 horizontal to 1 vertical for both cut
and fill.
4- The following staff readings were observed successively with level on the center line of
a longitudinal section of a highway. If the grade of the line of construction is 1:400 up to a
distance of 100m and horizontal up to 260m, and then 1:500 downwards to the end of the
Benha University
Shoubra Faculty of Engineering
Surveying Engineering Department
Answer all the following questions
Illustrate your answers with sketches when necessary
Surveying 1
ASSIGNMENT ( 5 )
2021-2022
Dimensions are in meters
Assume any missing data
line and it beging from a point of an elevation of 10.40m. The width of the highway is
10.00m, and side slope is 3:2 for both cut and fill.
a) - Calculate the reduced level of all point by two methods. Showing the arithmetic check
and identifies closure error.
b) - Draw a longitudinal section to scale 1:2000 horizontal and 1:100 vertical.
c) - Compute the quantities of cut and fill.
BS
1.254
IS
FS
1.254
2.034
3.458
2.48
3.548
2.284
2.028
3.48
1.748
1.078
2.498
0.848
1.958
1.828
0.808
2.514
1.456
2.026
0.897
1.198
3.514
2.226
3.706
1.497
1.537
3.458
1.947
3.417
Distance
0
20
40
60
80
100
120
140
160
180
200
220
240
260
280
300
320
340
360
380
Remark
BM1 (9.56m)
BM2 (8.50m)
Benha University
Shoubra Faculty of Engineering
Surveying Engineering Department
Answer all the following questions
Illustrate your answers with sketches when necessary
Surveying 1
ASSIGNMENT ( 5 )
2021-2022
Dimensions are in meters
Assume any missing data
5- Plot the profile of the highway with suitable horizontal and vertical scales from the
tabulated levels notes shown above, if the grade of the proposed line of construction
is 1:400 downwords and it begins from a point at an elevation of (19.00m).
Calculate the volume of earth work if the width of the highway is 8m, and side slope
is 2 horizontal : 1 vertical for both fill and cut
Distance(m)
Level(m)
0
18.4
100
18.35
200
19.1
300
18.55
400
18.3
450
18.1
500
17.75
6- Calculate the reduced level of all point by two methods. Showing the arithmetic check
and identifies closure error.
b) - Draw a longitudinal and cross sections using suitable horizontal and vertical scales.
Id
BS
0.64
A
1
2
B
CL
3
4
5
C
CL
6
7
8
D
E
IS
FS
0.76
0.44
4.20
0.61
CL
R
4.6
7.79
0.00
0.00
0.00
1.22
4.08
1.66
4.00
1.28
1.36
60
60
60
60
7.6
2.4
4.00
T.P
3.5
8.0
2.36
0.11
2.44
Remark
BM1 (4.76m)
T.P.
6.0
1.11
2.00
2.01
2.76
0.08
1.26
L
180
180
180
180
8.0
BM2 (-1.42m)