Reciprocal levelling is done to test a dumpy level, along a chain line, at a common interval of 25m, starting at 125 m. The following records have been observed with the instrument shifts at distances of 200 m and 300 m:   3.200, 2.135, 1.265, 0.535, 3.105, 2.450, 1.535, 1.185, 1.755, 1.215, 2.145, 3.015 m Calculate the reduced levels at all the points and check for mathematical errors, assuming RL = 97.535 m is the benchmark reading at the first station. Use   a)      the rise and fall method, and b)      the height of the collimation method.

In a two-peg test of a dumpy level, the following observations were taken. Rod Reading Instrument at c Instrument at D Station A 0.296 m 1.574 m Station B 0.910 m 2.400 m Point C is equidistant from A and B, while D is 20m from A and 130m from B. Determine: a. The difference in elevation between A and B (in meters) b. The error when the instrument is at Point C (in meters) c. The error in Station A when the instrument is at Point D (in meters)

In the two-peg test of a dumpy level, the following observations were taken: Rod Reading Instrument setup at M Instrument setup at P At point A 2.215m 3.450 m At point B 2.550m 3.575m Point P is 3 m away from A while Point A is 57m away from B. Point M is equidistant from A and B.       Determine the true difference in elevation between points A and B 0.71 1.20 0.325 1.567 0.335 Determine the correct reading on A when the instrument is at P 4.42 4.74 3.46 2.675 3.725 Determine the correct reading on B when instrument is at P. 4.925 3.80 4.42 1.56 4.74  Determine the error in rod B 1.40 0.35 2.095 0.22 1.135

A field party is capable of making taping observations with a standard deviation of +/-0.003 m per 30-m tape length.

In the two-peg test method of a dumpy level, the following observations were taken. What is the difference in elevation between A and B in meters? * Instrument near A 1.455 2.341 Instrument near B 0.978 Reading at A Reading at B 1.957 0.933 0.887 0.949 O 0.871

In the two peg test method of a dumpy level, the following observations were taken. With instrument at A, what should be the rod reading (in m.) at B to make line of sight level? (Final answer should be rounded-off to two decimal places only) Instrument near A Instrument near B Rod rdg. on A Rod rdg. on B 1.203 m 0.324 m 2.523 m 1.445 m

2. A reciprocal leveling is observed across a wide river and the reciprocal level readings were taken between points A and B as follows. With instrument set up near A, the rod readings on A are 4.383 m and 4.395 m. The reciprocal level readings on the opposite side of the river at point B are 5.628, 5.619, and 5.622 m. With the instrument set up near B the rod readings on B are 6.578 m and 6.576 m, and the rod readings on the on the opposite side of the river at point A, the rod readings are 5.243, 5.248, and 5.186 m. a) Compute the difference in elevation between A and B with the instrument set up near B. b) What is the true difference in elevation between A and B? c) If the elevation B is 500 m, what is the elevation of A?

Reciprocal levelling is done to test a dumpy level, along a chain line, at a common interval of 15m, starting at 135 m. The following records have been observed with the instrument shifts at distances of 180 m and 240 m: 3.400, 2.315, 1.350, 0.755, 3.305, 2.880, 1.745, 1.470, 1.910, 1.355, 2.450 and 3.035 m Calculate the reduced levels at all the points and check for mathematical errors, assuming RL = 97.935 m is the bench mark reading at the first station. Use both a) the rise and fall method, and b) the height of collimation method.

2. In the two peg test method of a dumpy level, the following observations were taken. Instrument near A Instrument near B Rod rdg. on A Rod rdg. on B 0.324 m 1.445 m 1.203 m 2.523 m a. Determine the error in the line of sight. b. What is the difference in elevation between A and B? c. Determine the correct rod reading on A with the instrument still set up at B.

The surveying team used 30 m tape in measuring an inclined distance. The measured length on the slope was recorded to be 459.20m long. The difference in elevation between the initial point and the end point was found to be 1.25m. The 30 m tape is of standard length at a temperature of 10°C and a pull of 50N. During measurement the temperature reading was 15°C and tape was supported at both ends with an applied pull of 75 N. The cross-sectional area of the tape is 6.50 mm² and the modulus of elasticity is 200 GPa. The tape has a mass of 0.0075 kg/m. Determine the true horizontal distance. K=0.0000116 m/°C