Unit: Surveying
Lesson: Differential Leveling
Ag Structures
Mr. Dieckhoff
PowerPoint adopted from California State
Ag Mechanics Curriculum
Differential Leveling
A. Importance of Leveling
1. The determination of elevations is called leveling
2. Measuring relative elevations changes is a comparatively
simply process
3. Precise and accurate control of relative elevations are critical
to most construction projects
Differential Leveling
B. The Level
1. A level consist of a high-powered telescope
2. The level is attached to a spirit or bubble level that keeps
the line of sight of the telescope horizontal
Differential Leveling
3. Level Instrument
Differential Leveling
Level Instrument
4.60
4.55
4.50
4.53
4.51
4.54
4.52
Differential Leveling
C. Definitions
BS = 6.32 ft
HI = 106.32 ft
Point A
FS = 3.10 ft
Point B
Elevation = 103.22 ft
Starting point
(elevation 100.00 ft)
Differential Leveling
Definitions
1. Bench mark (BM) - relatively permanent
point of known elevation
BS = 6.32 ft
HI = 106.32 ft
Point A
FS = 3.10 ft
Point B
Elevation = 103.22 ft
Starting point
(elevation 100.00 ft)
Differential Leveling
Definitions
2. Backsight (BS) - a sight taken to the level
rod held at a point of known elevation
(either a BM or TP)
BS = 6.32 ft
HI = 106.32 ft
Point A
FS = 3.10 ft
Point B
Elevation = 103.22 ft
Starting point
(elevation 100.00 ft)
Differential Leveling
Definitions
3. Height of instrument (HI) - the elevation
of the line of sight of the telescope
BS = 6.32 ft
HI = 106.32 ft
Point A
FS = 3.10 ft
Point B
Elevation = 103.22 ft
Starting point
(elevation 100.00 ft)
Differential Leveling
Definitions
4. Foresight (FS) - a sight taken on any point
to determine its elevation
BS = 6.32 ft
HI = 106.32 ft
Point A
FS = 3.10 ft
Point B
Elevation = 103.22 ft
Starting point
(elevation 100.00 ft)
Differential Leveling
D. Computation of Elevations
BS
12.64
BM1
1. BS + Elevation = HI
Elevation 100.00
Point
BM1
BS
12.64
HI
112.64
FS
Elevation
100.00
Differential Leveling
Computation of Elevations
BS
12.64
FS
3.11
BM1
Elevation 100.00
Point
BM1
TP1
2. HI - FS = Elevation
TP1
BS
12.64
HI
112.64
FS
3.11
Elevation
100.00
109.53
Differential Leveling
Computation of Elevations
BS
12.64
FS
3.11
BS
10.88
BM1
TP1
Elevation 100.00
Point
BM1
TP1
BS
12.64
10.88
HI
112.64
120.41
FS
3.11
Elevation
100.00
109.53
Differential Leveling
Computation of Elevations
BS
12.64
FS
3.11
BS
10.88
FS
2.56
TP2
BM1
TP1
Elevation 100.00
Point
BM1
TP1
TP2
BS
12.64
10.88
HI
112.64
120.41
FS
3.11
2.56
Elevation
100.00
109.53
117.85
Differential Leveling
Computation of Elevations
BS
12.64
FS
3.11
BS
10.88
FS
2.56
TP2
BM1
TP1
Elevation 100.00
Point
BM1
TP1
TP2
BS
9.72
BS
12.64
10.88
9.72
HI
112.64
120.41
127.57
FS
3.11
2.56
Elevation
100.00
109.53
117.85
Differential Leveling
Computation of Elevations
BS
12.64
FS
3.11
BS
10.88
FS
2.56
FS
3.10
BM2
TP2
BM1
TP1
Elevation 100.00
Point
BM1
TP1
TP2
BM2
BS
9.72
BS
12.64
10.88
9.72
HI
112.64
120.41
127.57
FS
3.11
2.56
3.10
Elevation
100.00
109.53
117.85
124.47
Differential Leveling
Computation of Elevations
BS
12.64
FS
3.11
BS
10.88
FS
2.56
FS
3.10
BM2
TP2
BM1
TP1
Elevation 100.00
Point
BM1
TP1
TP2
BM2
BS
9.72
BS
12.64
10.88
9.72
HI
112.64
120.41
127.57
FS
3.11
2.56
3.10
Elevation
100.00
109.53
117.85
124.47
Differential Leveling
Computation of Elevations
3. Change in elevation- summation of the backsight and
the foresight then subtract
Point
BM1
TP1
TP2
BM2
BS
12.64
10.88
9.72
+33.24
HI
112.64
120.41
127.57
FS
3.11
2.56
3.10
Elevation
100.00
109.53
117.85
124.47
-8.77
Change in elevation = 33.24 -8.77 =24.47
Differential Leveling
4. The initial backsight (BS) is taken to a point of
known elevation
5. The backsight reading is added to the elevation of
the known point to compute the height of the
instrument (HI)
6. The level may be moved to a temporary point called a
turning point (TP)
7. The elevation of a point is the height of the
instrument (HI) minus the foresight (FS)
Differential Leveling
Computation of Elevations - Group Problem
 Prepare a set of level notes for the survey illustrated
below. What are the elevations of points TP1 and TP2?
BS
1.27
BM
FS
4.91
BS
2.33
FS
6.17
Elevation 356.68
TP1
TP2
Differential Leveling
Computation of Elevations - Group Problem
BS
1.27
FS
4.91
BS
2.33
BM
FS
6.17
Elevation 356.68
TP1
Point
BM1
TP1
TP2
BS
1.27
2.33
+3.60
HI
357.95
355.37
FS
4.91
6.17
-11.08
Elevation
356.68
353.04
349.20
-7.48
TP2
Differential Leveling
E. Common Mistakes
1. Misreading the rod - reading
3.54 instead of 3.45
2. Moving the turning point - use a
well–defined TP
3. Field note mistakes - work within
your group to check you records
4. Mistakes with extended rod - make
sure the leveling rod is fully
extended
Differential Leveling
Common Mistakes
5. Level rod not vertical
6. Settling of leveling rod
7. Leveling rod not fully extended or
incorrect length
8. Level instrument not level
9. Instrument out of adjustment
10. Environment - wind and heat
Differential Leveling
F. Suggestions for Good Leveling
1. Anchor tripod legs firmly
2. Check the bubble level before and after each reading
3. Take as little time as possible between BS and FS
4. Try to keep the distance to the BS and the FS equal
5. Provide the rodperson with a level for the rod
Practice Set 1
Differential Leveling Review
1. Why is differential leveling called
differential?
2. What does B.M. , B.S., H.I., and F.S. stand for
in surveying?
3. If you know the starting elevation and the
B.S., how do you calculate the H.I.?
4. How do you calculate the evaluation of a T.P.?
5. What common error of leveling do you think
will be made the most in this class and why?