Transit rule of balancing a traverse is applied whena)the linear and a...
The Transit Rule of Balancing a Traverse, also known as the Compass Rule, states that when the angular measurements are more precise than the linear measurements, the angular measurements should be used to balance the traverse.
When the linear measurements are more precise than the angular measurements, it is more appropriate to use the Distance Rule, also known as the Chain Rule. In this case, the linear measurements are used to balance the traverse.
It's crucial to have in mind that the Transit Rule and the Distance Rule are applied in different conditions, as they are used to balance the traverse differently depending on the precision of the measurements.
The option "d" is not correct because the Transit rule depends on the precision of the measurements and the proportionality of measurements with respect to length is not affecting the decision of choosing the rule.
View all questions of this test
Transit rule of balancing a traverse is applied whena)the linear and a...
Transit Rule of Balancing a Traverse
The transit rule of balancing a traverse is a method used to adjust the measured angles and distances of a closed traverse to ensure that the sum of the interior angles is equal to (n-2)*180, where n is the number of sides of the traverse. This is done by adjusting the measured angles and/or distances so that the algebraic sum of the latitudes and departures is equal to zero.
When to Apply the Transit Rule
The transit rule of balancing a traverse is applied when the angular measurements are more precise than the linear measurements. This is because errors in the angular measurements have a greater impact on the closure error of the traverse than errors in the linear measurements.
Steps to Apply the Transit Rule
The following steps are involved in applying the transit rule of balancing a traverse:
1. Compute the latitudes and departures for each line segment of the traverse.
2. Compute the algebraic sum of the latitudes and departures.
3. Compute the closure error of the traverse as the square root of the sum of the squares of the latitudes and departures.
4. Apply the transit rule by adjusting the measured angles and/or distances so that the algebraic sum of the latitudes and departures is equal to zero.
5. Recompute the latitudes and departures for each line segment of the traverse.
6. Recompute the closure error of the traverse.
7. Repeat steps 4-6 until the closure error is within an acceptable tolerance.
Conclusion
In conclusion, the transit rule of balancing a traverse is a method used to adjust the measured angles and distances of a closed traverse to ensure that the sum of the interior angles is equal to (n-2)*180. It is applied when the angular measurements are more precise than the linear measurements, and involves adjusting the measured angles and/or distances so that the algebraic sum of the latitudes and departures is equal to zero.
Transit rule of balancing a traverse is applied whena)the linear and a...
Transit rule of balancing a traverse is applied when the angular measurements are more precise than linear measurements. Let's understand this in detail.
What is a traverse?
A traverse is a method of surveying in which a series of connected lines are measured to determine the position of points relative to each other. It is used to determine the boundary of a piece of land, the location of buildings, and the position of other features on the land.
What is balancing a traverse?
Balancing a traverse means adjusting the measured distances and angles in such a way that they satisfy the principle of least squares. In other words, it is the process of adjusting the measured values to minimize the error in the final result.
What is the transit rule?
The transit rule is a method of balancing a traverse in which the angular errors are distributed proportionally to the linear measurement of each line. In this method, the total angular error is calculated and then distributed among the lines in proportion to their lengths.
When is the transit rule applied?
The transit rule is applied when the angular measurements are more precise than the linear measurements. This is because the transit rule distributes the angular errors proportionally to the linear measurements, which means that the errors in the linear measurements will be relatively larger than the errors in the angular measurements. Therefore, the transit rule is not suitable for traverses where the linear measurements are more precise than the angular measurements.
Advantages of the transit rule
- It is a simple and easy method of balancing a traverse.
- It is suitable for traverses where the angular measurements are more precise than the linear measurements.
- It distributes the errors proportionally to the lengths of the lines, which makes it a fair method of balancing a traverse.
Disadvantages of the transit rule
- It assumes that the errors are proportional to the lengths of the lines, which may not be true in all cases.
- It does not take into account the effect of the errors on the final result, which may lead to inaccurate results in some cases.
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).