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The following are the instrumental methods used for setting out horizontal circular curve.
(i) Rankine's method of tangential angle
(ii) Two theodolite method
(iii) Tacheometric method
The sequence of these methods from the least accurate to the most accurate is
(i) Rankine's method of tangential angle
(ii) Two theodolite method
(iii) Tacheometric method
The sequence of these methods from the least accurate to the most accurate is
- a)(i), (ii), (iii)
- b)(iii), (i), (ii)
- c)(ii), (iii), (i)
- d)(i), (iii), (ii)
Correct answer is option 'C'. Can you explain this answer?
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The following are the instrumental methods used for setting out horizo...
Angular methods
The following are the angular methods that can be used for setting circular curves:
The following are the angular methods that can be used for setting circular curves:
- Rankine method of tangential (deflection) angles.
- Two-theodolite method
- Tacheometric method
Rankine Method of tangential angles:
- Rankine method is based on the principle that the deflection angle to any point on a circular curve is measured by one half the angle subtended by the arc from Point of curve to that point.
- The method is most accurate since each point is fixed independently.
Two theodolite method:
- This method is used when the ground is unsuitable for chaining and is based on the principle that the angle between the tangent and the chord is equal to the angle which that chord subtends in the opposite segment.
Tacheometric method:
- this method is less accurate than “Rankine Method of tangential angles”.
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The following are the instrumental methods used for setting out horizo...
Explanation:
The instrumental methods used for setting out horizontal circular curves are Rankine's method of tangential angle, two theodolite method, and tacheometric method. These methods vary in terms of accuracy.
(i) Rankine's method of tangential angle:
- Rankine's method of tangential angle is the simplest method for setting out horizontal circular curves.
- In this method, the tangential angle is measured between the tangent to the curve at the P.C. and the tangent to the curve at the P.T.
- This method is the least accurate among the three methods mentioned.
- It is suitable for small curves or where high accuracy is not required.
(ii) Two theodolite method:
- The two theodolite method is a more accurate method for setting out horizontal circular curves.
- In this method, two theodolites are set up at the P.C. and P.T. stations.
- The angles are measured from both the theodolites to the tangent to the curve at a known point.
- By using the measured angles, the coordinates of the center of the curve can be calculated.
- This method is more accurate than Rankine's method but less accurate than the tacheometric method.
(iii) Tacheometric method:
- The tacheometric method is the most accurate method for setting out horizontal circular curves.
- In this method, a tacheometer is used to measure the vertical angles and the distances.
- The tacheometer is set up at the P.C. station, and the angles and distances are measured to the tangent to the curve at a known point.
- By using the measured angles and distances, the coordinates of the center of the curve can be calculated.
- This method provides the highest accuracy among the three methods mentioned.
Sequence of methods:
- The question asks for the sequence of these methods from the least accurate to the most accurate.
- Based on the explanations given above, the correct sequence is (ii), (iii), (i).
- Therefore, option 'C' is the correct answer.
The instrumental methods used for setting out horizontal circular curves are Rankine's method of tangential angle, two theodolite method, and tacheometric method. These methods vary in terms of accuracy.
(i) Rankine's method of tangential angle:
- Rankine's method of tangential angle is the simplest method for setting out horizontal circular curves.
- In this method, the tangential angle is measured between the tangent to the curve at the P.C. and the tangent to the curve at the P.T.
- This method is the least accurate among the three methods mentioned.
- It is suitable for small curves or where high accuracy is not required.
(ii) Two theodolite method:
- The two theodolite method is a more accurate method for setting out horizontal circular curves.
- In this method, two theodolites are set up at the P.C. and P.T. stations.
- The angles are measured from both the theodolites to the tangent to the curve at a known point.
- By using the measured angles, the coordinates of the center of the curve can be calculated.
- This method is more accurate than Rankine's method but less accurate than the tacheometric method.
(iii) Tacheometric method:
- The tacheometric method is the most accurate method for setting out horizontal circular curves.
- In this method, a tacheometer is used to measure the vertical angles and the distances.
- The tacheometer is set up at the P.C. station, and the angles and distances are measured to the tangent to the curve at a known point.
- By using the measured angles and distances, the coordinates of the center of the curve can be calculated.
- This method provides the highest accuracy among the three methods mentioned.
Sequence of methods:
- The question asks for the sequence of these methods from the least accurate to the most accurate.
- Based on the explanations given above, the correct sequence is (ii), (iii), (i).
- Therefore, option 'C' is the correct answer.
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The following are the instrumental methods used for setting out horizontal circular curve.(i) Rankines method of tangential angle(ii) Two theodolite method(iii) Tacheometric methodThe sequence of these methods from the least accurate to the most accurate isa)(i), (ii), (iii)b)(iii), (i), (ii)c)(ii), (iii), (i)d)(i), (iii), (ii)Correct answer is option 'C'. Can you explain this answer?
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Solutions for The following are the instrumental methods used for setting out horizontal circular curve.(i) Rankines method of tangential angle(ii) Two theodolite method(iii) Tacheometric methodThe sequence of these methods from the least accurate to the most accurate isa)(i), (ii), (iii)b)(iii), (i), (ii)c)(ii), (iii), (i)d)(i), (iii), (ii)Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
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