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CivilAdvanced Survey
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A branch of surveying in which the horizontal and vertical distances of points are obtained by instrumental observations is known as

A

Tacheometry surveying

B

Hydrographic surveying

C

Chain surveying

D

Plane table surveying

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleCivilAdvanced Survey
Option A

Tacheometry surveying

Quick Summary:

Tacheometry (or Tacheometric Surveying) is a branch of optical surveying in which both horizontal distances and vertical elevations of points are determined using instrumental observations with a tacheometer (a transit theodolite fitted with a stadia diaphragm), eliminating the need for direct chain or tape measurements.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Tacheometry (or Tacheometric Surveying) is a branch of optical surveying in which both horizontal distances and vertical elevations of points are determined using instrumental observations with a tacheometer (a transit theodolite fitted with a stadia diaphragm), eliminating the need for direct chain or tape measurements.

ЁЯФв Key Formulas

D=ks+CD = ks + CD=ks+C тАФ Horizontal distance for horizontal line of sight

D=kscosтБб2╬╕+CcosтБб╬╕D = ks \cos┬▓\theta + C \cos\thetaD=kscos2╬╕+Ccos╬╕ тАФ Horizontal distance for inclined line of sight with vertical staff

V=12kssinтБб2╬╕+CsinтБб╬╕V = \frac{1}{2} ks \sin 2\theta + C \sin\thetaV=21тАЛkssin2╬╕+Csin╬╕ тАФ Vertical component for inclined line of sight

тЪЩя╕П Working Principle

It is based on the principle of isosceles triangles, where the ratio of the distance from the vertex to the base and the length of the base remains constant. By measuring the staff intercept (base) using stadia wires in the telescope, the distance from the instrument station can be calculated using stadia constants.

ЁЯУМ Key Points
  • тЦ╕

    Tacheometer is an ordinary transit theodolite fitted with a stadia diaphragm and an anallatic lens.

  • тЦ╕

    The multiplication constant k=fik = \frac{f}{i}k=ifтАЛ is typically kept as 100100100.

  • тЦ╕

    The additive constant C=f+dC = f + dC=f+d is made equal to zero by providing an anallatic lens in the telescope.

  • тЦ╕

    Highly preferred for rough, steep, or inaccessible terrains where chaining is difficult or inaccurate.

тЬЕ Advantages
  • тЦ╕

    Rapid speed of survey execution compared to conventional chaining.

  • тЦ╕

    Ideal for highly undulating, hilly, or marshy land.

  • тЦ╕

    Eliminates errors associated with chain dragging and slope corrections.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Lower precision compared to modern Electronic Distance Measurement (EDM) or chaining on smooth ground.

  • тЦ╕

    Limited range, typically up to 100 meters for precise readings with stadia staff.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Preparation of contour maps and topographic surveys.

  • тЦ╕

    Location surveys for roads, railways, and reservoirs.

  • тЦ╕

    Checking boundaries and preliminary route surveys.

ЁЯУД Additional Information
  • тЦ╕

    An anallatic lens is a convex lens fitted between the objective and the diaphragm to make the additive constant zero.

  • тЦ╕

    Option B (Hydrographic surveying) is concerned with body of water measurements.

  • тЦ╕

    Option C (Chain surveying) uses chain/tape for measuring distances directly along flat ground.

  • тЦ╕

    Option D (Plane table surveying) is a graphical method where field work and plotting are done simultaneously.

ЁЯУК Diagram / Illustration
Tacheometric Distance Formula (Horizontal Sighting)D = k ├Ч s + CMultiplying Constant (k)fi(Usually = 100)Additive Constant (C)C = f + d(Usually = 0 for AnallaticLens)
тЬЕ

A is correct тАФ Tacheometry surveying is the optical branch of surveying where horizontal and vertical distances are computed from instrumental observations.

Core Concepts Used
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Tacheometry Principles Stadia Constants Anallatic Lens
ЁЯТб EXAM TIP

Always remember that for a telescope fitted with an anallatic lens, k=100k = 100k=100 and C=0C = 0C=0, simplifying the distance formula to D=100scosтБб2╬╕D = 100s \cos┬▓\thetaD=100scos2╬╕ for inclined sights.

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