Survey

If an offset is laid out 5° from its true direction in the field, find the resulting displacement of the plotted point on paper:(a) in a direction parallel to the chain line and (b) in a direction perpendicular to the chain line.

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Surveying Offset Error Calculation Surveying Problem: Offset Angular Error Problem: If an offset is laid out 5° from its true […]

If an offset is laid out 5° from its true direction in the field, find the resulting displacement of the plotted point on paper:(a) in a direction parallel to the chain line and (b) in a direction perpendicular to the chain line. Read More »

A baseline AC was measured in two parts along two straight drains AB and BC. The measured slope lengths were AB = 1650 m and BC = 1819.5 m. A steel tape, exactly 30 metres long at 25°C under 100 N pull (assumed based on solution calculation, original text mentioned 9N/10kgf), was used. The applied pull during measurements was 200 N. The temperature during the measurement of AB was 45°C, and for BC was 40°C (based on solution calculation, original text mentioned 25°C). The slope of drain AB was 3° and drain BC was 3°30′. The deflection angle of BC relative to AB was 10° Right. Find the correct horizontal length of the baseline AC. Tape properties: cross-sectional area (A) = 2.5 mm², coefficient of expansion (α) = 3.5 × 10⁻⁶ per °C, modulus of elasticity (E) = 2.1 × 10⁵ N/mm² .

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Problem Statement A baseline AC was measured in two parts along two straight drains AB and BC. The measured slope

A baseline AC was measured in two parts along two straight drains AB and BC. The measured slope lengths were AB = 1650 m and BC = 1819.5 m. A steel tape, exactly 30 metres long at 25°C under 100 N pull (assumed based on solution calculation, original text mentioned 9N/10kgf), was used. The applied pull during measurements was 200 N. The temperature during the measurement of AB was 45°C, and for BC was 40°C (based on solution calculation, original text mentioned 25°C). The slope of drain AB was 3° and drain BC was 3°30′. The deflection angle of BC relative to AB was 10° Right. Find the correct horizontal length of the baseline AC. Tape properties: cross-sectional area (A) = 2.5 mm², coefficient of expansion (α) = 3.5 × 10⁻⁶ per °C, modulus of elasticity (E) = 2.1 × 10⁵ N/mm² . Read More »

A tape 100 m long, 6.35 mm wide, and 0.5 mm thick was used to measure a line, with the apparent measured length being 1986.96 m. The tape was standardised under a pull of 67.5 N. However, it was found that the pull actually used during the measurement was 77.5 N. What was the true length of the line, assuming the tape was standardized and used on the flat?

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Problem Statement A tape 100 m long, 6.35 mm wide, and 0.5 mm thick was used to measure a line,

A tape 100 m long, 6.35 mm wide, and 0.5 mm thick was used to measure a line, with the apparent measured length being 1986.96 m. The tape was standardised under a pull of 67.5 N. However, it was found that the pull actually used during the measurement was 77.5 N. What was the true length of the line, assuming the tape was standardized and used on the flat? Read More »

To measure a baseline, a steel tape 30m long, standardized at 15°C with a pull of 100 N, was used. Find the correction per tape length if the temperature at the time of measurement was 20°C and the pull exerted was 160 N. The weight of 1 cubic cm of steel is 0.0786 N, the total weight of the tape is 8 N, the modulus of elasticity (E) is 2.1 × 10⁵ N/mm² and the coefficient of expansion (α) is 7.1 × 10⁻⁷ per °C.

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Problem Statement To measure a baseline, a steel tape 30m long, standardised at 15°C with a pull of 100 N,

To measure a baseline, a steel tape 30m long, standardized at 15°C with a pull of 100 N, was used. Find the correction per tape length if the temperature at the time of measurement was 20°C and the pull exerted was 160 N. The weight of 1 cubic cm of steel is 0.0786 N, the total weight of the tape is 8 N, the modulus of elasticity (E) is 2.1 × 10⁵ N/mm² and the coefficient of expansion (α) is 7.1 × 10⁻⁷ per °C. Read More »

A line was measured with a steel tape which was exactly 30 metres long at 20°C under a pull of 100 N. The measured length was 1650.00 metres. The temperature during measurement was 30°C and the pull applied was 150 N. Find the true length of the line.

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Problem Statement A line was measured with a steel tape which was exactly 30 metres long at 20°C under a

A line was measured with a steel tape which was exactly 30 metres long at 20°C under a pull of 100 N. The measured length was 1650.00 metres. The temperature during measurement was 30°C and the pull applied was 150 N. Find the true length of the line. Read More »

At the end of survey of a field a 30 m chain was found to be 10 cm too long. The area of the plan drawn with the measurements taken with this chain is found to be 125 cm2. If the scale of the plan is 1cm = 10 m, what is the true area of the field.

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Problem Statement At the end of surveying a field, a 30 m chain was found to be 10 cm too

At the end of survey of a field a 30 m chain was found to be 10 cm too long. The area of the plan drawn with the measurements taken with this chain is found to be 125 cm2. If the scale of the plan is 1cm = 10 m, what is the true area of the field. Read More »

The volume of an excavation was computed from the measurements taken by a 20 m chain and found to be 58,75,000 cu.m. On the close of the work it was detected that the chain used was 5 cm too long, whereas it was correct at the commencement of the work. Calculate the correct volume of the excavation

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Problem Statement The volume of an excavation was computed from measurements taken by a 20 m chain and found to

The volume of an excavation was computed from the measurements taken by a 20 m chain and found to be 58,75,000 cu.m. On the close of the work it was detected that the chain used was 5 cm too long, whereas it was correct at the commencement of the work. Calculate the correct volume of the excavation Read More »

The area of the plan of an old map plotted to a scale of 10 meters to 1 cm measures now 100.2 sq2. cm. when measured by a plani meter. The plan is found to have shrunk so that a line originally10 cm long now measures 9.7 cm only. Further, the 20 m chain used is 8cm too short. Find the true area of the survey.

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Problem Statement The area of a plan on an old map, originally plotted to a scale of 10 metres to

The area of the plan of an old map plotted to a scale of 10 meters to 1 cm measures now 100.2 sq2. cm. when measured by a plani meter. The plan is found to have shrunk so that a line originally10 cm long now measures 9.7 cm only. Further, the 20 m chain used is 8cm too short. Find the true area of the survey. Read More »

The area of a certain field was measured with a 30 mchain and found to be 5000 sq. m. It was afterwards detected that thechain used was 10 cm too short. What is the true area of the field ?

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Problem Statement The area of a certain field was measured with a 30 m chain and found to be 5000

The area of a certain field was measured with a 30 mchain and found to be 5000 sq. m. It was afterwards detected that thechain used was 10 cm too short. What is the true area of the field ? Read More »

A line was measured by 20 m and 100 ft. chain respectively and was 12 chains in length in each case. If the 30 m chain was 0.2 m too long, find the correct length of the 100 ft. chain up to three decimal places. Take 1 m = 3.28 ft.

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Problem Statement A line was measured using both a 30 metre chain and a 100 ft chain, and the recorded

A line was measured by 20 m and 100 ft. chain respectively and was 12 chains in length in each case. If the 30 m chain was 0.2 m too long, find the correct length of the 100 ft. chain up to three decimal places. Take 1 m = 3.28 ft. Read More »

A distance of 2000 meters was measured by a 30 meter chain. Later on, it was detected that the chain was 0.1 meter too long. Another 500 meter (i.e., total 2500 m) was measured and it was detected that the chain was 0.15 meter too long. If the length of the chain in the initial stage, was quite correct, determine the exact length that was measured.

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Problem Statement A distance was measured using a 30 metre chain, which was initially correct (30.0 m). After measuring a

A distance of 2000 meters was measured by a 30 meter chain. Later on, it was detected that the chain was 0.1 meter too long. Another 500 meter (i.e., total 2500 m) was measured and it was detected that the chain was 0.15 meter too long. If the length of the chain in the initial stage, was quite correct, determine the exact length that was measured. Read More »

A 20 m chain was found to be 4 cm too long after chaining 1400 m. It was 8 cm too long at the end of day’s work after chaining a total distance of 2420 m. If the chain was correct before commencement of the work, find the true distance.

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Problem Statement A 20 m chain was used for surveying. It was found to be exactly correct (20.00 m) before

A 20 m chain was found to be 4 cm too long after chaining 1400 m. It was 8 cm too long at the end of day’s work after chaining a total distance of 2420 m. If the chain was correct before commencement of the work, find the true distance. Read More »

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