1). From the lecture book Problem 4.1a What are the rod readings at the horizontal lines for the Foot(a) to the nearest .01 ft. and Metric (b) to the nearest ½ cm, Rods?

2). From the lecture book Problem 4.6. Reduce the accompanying set of differential leveling notes and perform the arithmetic check.

3). From the lecture book Problem 4.7. If the distanced leveled in Problem 4.6 is 1,000 ft. for what order of survey do the results qualify?

4). From the lecture book Problem 4.10. Reduce the accompanying set of profile notes, and perform the arithmetic check.

5). Levels were run from BM 100 to BM 100A. BM 100 has an elevation of 1201.196 ft. An elevation of 1234.567 ft was observed at BM 100A. It was later discovered that the level rod was 0.025 ft too short. If there were 14 TPs in the level run, what is the correct elevation of BM 100A? Assume that each pair of BS and FS distances was equal.

6). A level circuit is run a total distance of 7.1 mi from BM 20 to set three other benchmarks in the vicinity of a construction project. The given elevation of BM 20 is 1432.025 ft. When closing the level loop, its elevation is observed to be 1431.912 ft. What is the accuracy of the survey?

7). A distance of 546.75 ft is measured by a survey crew. The true distance is known to be 546.66 ft. What is the relative accuracy of the measurement?

8). What is the maximum error of closure in a measurement of 600m if the relative accuracy is 1:3000?

8 8

BM 61

Elevation=

320.20

FIGURE4 .32 Sketch for Problem 4.3.

4.4. Complete the accompanying set of differential leveling notes, and perform the arithmetic

check.

Station

BIM 3

BS (m)

1.613

1.425

1.307

1.340

HI (m) FS (m)

1.927

1.710

1.273

0.780

Elevation (m)

398.022

4.5. If the loop distance in Problem 4.4 is 700 m, at what order of survey do the results qualify? (Use

Table 4.2 or Table 4.3.)

4.6. Reduce the accompanying set of differential leveling notes, and perform the arithmetic check.

Station

BM 100

BM 100

BS (ft)

2.71

3.62

3.51

3.17

1.47

HI (ft) FS (ft) Elevation (ft)

176.56

4.88

3.97

2.81

1.62

1.21

4.7. If the distance leveled in Problem 4.6 is 1,000 ft, for what order of survey do the results qualify?

(See Tables 4.2 and 4.3.)

Leveling 103

4.10. the accompanying set of profile notes, and perform the arithmetic check.

Station

UM s.t01

000

020

040

060

+ 066.28

080

+ 100

+ 120

o 140

o 143.78

o 147.02

o 160

o + 180

o + 200

TP2

BM S. 102

0.475

0.666

0.033

IS (m)

0.02

0.41

0.73

0.70

0.726

1.38

1.75

2.47

0.57

0.634

0.681

0.71

0.69

1.37

4.11. Reduce the following set of municipal cross-section notes.

Station

BM 41

TP 13

12 + 00

50 ft left

18.3 ft left

20.1 ft right

50 ft right

13 + oo

50 ft left

19.6 ft left

20.7 ft right

50 ft right

TP 14

BS (ft)

6.21

4.10

7.39

HI (ft)

3.9

4.6

6.33

7.9

8.2

5.0

5.7

7.54

7.9

8.4

FS (m)

2.993

1.705

2.891

FS (ft)

0.89

1.12

2.41

Elevation (m)

202.025

Elevation (ft)

347.55

BM S.22

mistakes in arithmetic can eliminated by the other crew members check the

reductions and initial each page of notes checked- Mistakes in the leveling operation cannot

complete}v eiiminated. but they can be minimized if the crew members are aware

that mistakes can (and probabiv occur. All crew members should be constantiv alert

to the possible occurrence of mistakes, and all crew members should try to develop strict

routines for doing thetr work that mistakes, when they do eventually occur, Will be all

the more noticeable

i,uEMS

4.1. Determine the rod readings indicated on the foot and metric rod illustrations shown in

Figure 4.30. The foot readings are to the closest 0.01 ft. and the metric readings are to the

closest one-half or one-third ceznmeter.

Elfl

(a) Foot Rod Metric Rod (c) Foot Rod (d) ½trt Rod

F’GIJRE 4.30 (a) Foot rod; (b) metric rod; (c) foot rod; (d) metric rod; (e) foot rod;

(t) metric rod.

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