Examples

M3-Ex1  The volume of earthwork was computed to be 9,000 cubic meter. It was based on the measurements taken with a tape of 30 m length. If the tape was 5 cm too long, determine the correct volume of the earthwork.

M3-Ex2 A 30 m tape has a standardized length of 30 m at 20° C with 5 kg tension and with tape fully supported. The observed distance at the 0 and 30 m points and 7.5 kg tension is 30.02 m. The weights 0.55 kg and has a cross sectional area of 0.02 cm². Calculate the true distance between the two points. Assume that E = 2.1 x 10 6 kg / m².

M3-Ex3 The slope measurement of a line is 243.840 m. The difference in elevation between successive 30 m points are 0.50, 0.46, 0.75, 1.20, 1.40, 1.50, 2.00 and 0.2 m. Calculate the horizontal distance along the line.

M3-Ex4 In carrying a field measurement with a tape having standard length of 30 m at 20° C, 5 kg tension having full support all throughout the measurement. During field measurement of a line the tamp is form to be 25° ± 2° C the tension applied 8 kg ± 2 kg, slope of tension 5° ± 2°. Find the corrected length of tape and the possible error is measurement.

M3-Ex5 An electro-optical EDM instrument using infrared light with a wavelength of 0.9050 mm has a modulated wavelength of light at 26 0 C and atmospheric presence of 752.9 mmHg. Compare this wavelength with the wavelength of the modulation frequency in a standard atmosphere at 0° C and 760 mmHg.

M3-Ex6 The slope distance between two stations corrected for atmospheric conditions and EDM system constants is 1524.500 m with vertical angle of + 2° 55' measured with theodolite having 1.452 m height above Gt to the target at height 1.524 m above the other station. The respective heights of instrument of the EDM instrument and that of reflectors are 1.676 m and 1.825 m respectively. Compute the horizontal distance between the two stations.

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