PROBLEM 1 (10 pts)
A known 30 m tape was used to measure a distance between points A and B which is measured
and recorded as 123.456 m, but the certified length of the tape is 29.992 m. What is the true distance
between A and B?
PROBLEM 2 (15 pts)
Using the ff notes:
STATION
BM12
1
2
BM13
3
4
5
6
BM14
BACK SIGHT
4.64
5.80
2.25
6.02
8.96
8.06
9.45
12.32
FORE SIGHT
ELEVATION (m)
209.65
5.06
5.02
5.85
4.34
3.22
3.71
2.02
1.98
Determine the difference in elevation between BM13 and BM14. Check the result.
PROBLEM 3 (20 pts)
A 50 m tape weighing 1.075 kg has a standard pull of 8 kg. The tape’s cross-sectional area and
modulus of elasticity are 0.05 cm2 and 200 GPa, respectively. What pull is required in order that the
effect of sag will be eliminated when the tape is supported at end points only?
PROBLEM 4 (25 pts)
Three independent lines of level are run from BM1 to BM2. Route A is 6 km long, route B is 4
km long and route C is 8 km long. By route A, BM2 is 82.27 m above BM1, by route B, BM2 is 82.40
m above BM1 and by route C, BM2 is 82.10 m above BM1. If the elevation of BM1 is 30.69 m, what
is the elevation of BM2 by weighted mean?
Hint: To determine the weight, get first the reciprocal of the distances and find their lowest
common denominator. The value of the weight is equal to the least common denominator divided by the
distance.
PROBLEM 5 (30 pts)
Determine the tension which will be applied to a tape maintained over two supports in order to
make the tape equal to its standard length when supported only at the end points. The steel tape is 30 m
long and weighs 1.5 kg when supported throughout its length under a standard pull of 6 kg with the
modulus of elasticity is 2x106 kg/cm2 and a cross-sectional area of 0.05 cm2.