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CivilAdvanced Survey
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Stadia method can also be known as __________

A

Fixed hair method

B

Movable hair method

C

Tangential method

D

Both A and B

Correct Answer

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

Both A and B

Quick Summary:

The stadia method is the most common system of tacheometry in which a reticle with stadia wires is used to determine distances and elevations. Depending on whether the stadia hair interval is kept constant or variable, it is classified into the fixed hair method and the movable hair method. Therefore, the stadia method encompasses both the fixed hair and movable hair methods.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

The stadia method is the most common system of tacheometry in which a reticle with stadia wires is used to determine distances and elevations. Depending on whether the stadia hair interval is kept constant or variable, it is classified into the fixed hair method and the movable hair method. Therefore, the stadia method encompasses both the fixed hair and movable hair methods.

ЁЯФв Key Formulas

D=kтЛЕs+CD = k \cdot s + CD=kтЛЕs+C тАФ Tacheometric distance formula where DDD is horizontal distance, kkk is multiplying constant (fi\frac{f}{i}ifтАЛ), sss is staff intercept, and CCC is additive constant (f+df + df+d)

k=fik = \frac{f}{i}k=ifтАЛ тАФ Multiplying constant of the tacheometer

C=f+dC = f + dC=f+d тАФ Additive constant of the tacheometer

тЪЩя╕П Working Principle

In the fixed hair method, the distance between the top and bottom stadia hairs is kept constant, and the staff intercept varies with distance. In the movable hair method (subtense method), the staff intercept is kept constant between two targets, and the distance between the stadia hairs is varied using micrometer screws until they coincide with the targets.

ЁЯУМ Key Points
  • тЦ╕

    The stadia method is a branch of tacheometry using diaphragms with two horizontal stadia hairs.

  • тЦ╕

    In the fixed hair method, distance is determined by reading the variable staff intercept sss for a known stadia interval iii.

  • тЦ╕

    In the movable hair method, the distance between horizontal hairs iii is varied and measured using a micrometer screw while keeping staff intercept sss constant.

  • тЦ╕

    The tangential method does not use stadia hairs; instead, vertical angles to two targets on the staff are measured.

тЬЕ Advantages
  • тЦ╕

    Fixed Hair Method: Fast, simple, and standard method widely used in field surveying.

  • тЦ╕

    Movable Hair Method: Can be used over very long sights where staff readings become difficult to read.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Fixed Hair Method: Sights are limited by the readability of the staff graduations at long distances.

  • тЦ╕

    Movable Hair Method: Requires expensive and complex instruments equipped with micrometer screws, making it prone to mechanical wear.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Topographic mapping and contouring in difficult terrains.

  • тЦ╕

    Location surveys for roads, railways, and reservoirs.

ЁЯФД Comparison Table
FeatureFixed Hair MethodMovable Hair Method

Stadia Hair Interval (iii)

Constant / Fixed

Variable

Staff Intercept (sss)

Variable

Constant / Fixed

Measurement Technique

Direct reading of intercept on staff

Micrometer screw adjustment of hair spacing

ЁЯУД Additional Information
  • тЦ╕

    For an anallatic lens, the additive constant C=0C = 0C=0 and multiplying constant k=100k = 100k=100.

  • тЦ╕

    Option C (Tangential Method) is incorrect because it relies on measuring vertical angles to two vanes at a known distance on a staff without using stadia wires.

ЁЯУК Diagram / Illustration
Stadia Method ClassificationStadia MethodFixed Hair MethodStadia Hair Interval (i)= ConstantStaff Intercept (s) =VariableMovable Hair MethodStadia Hair Interval (i)= VariableStaff Intercept (s) =Constant
тЬЕ

D is correct тАФ The stadia method includes both the fixed hair method and the movable hair method based on whether the stadia hair spacing is kept constant or adjusted.

Core Concepts Used
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Tacheometry Stadia Method Fixed Hair vs Movable Hair Method
ЁЯТб EXAM TIP

Remember that while stadia methods require stadia hairs, the tangential method requires NO stadia hairs at allтАФonly an ordinary transit theodolite measuring vertical angles.

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