Name: closed traverse angle checks
Uploaded: 2025-03-26T15:20:29.000Z
Duration: 1 min 25 s
Channel: JoVE

Consider a closed traverse with four vertices. The azimuths of the two sides and the bearings of the other two sides are given. The objective is to find the internal angle at each vertex of the traverse.&nbsp;Firstly, the angle at A is calculated by subtracting 50 degrees, the azimuth of AB, and 75 degrees, the bearing angle of DA, from 180 degrees, resulting in 55 degrees.Next, the angle at B is calculated by subtracting 120 degrees, the azimuth of BC, from 180 degrees and adding 50 degrees, the azimuth of AB, resulting in 110 degrees.At C, the angle is calculated by subtracting 20 degrees, the bearing angle of CD, from 120 degrees, the azimuth of BC, resulting in 100 degrees.Lastly, the angle at D is calculated by adding 75 degrees, the bearing angle of DA, to 20 degrees, the bearing angle of CD, resulting in 95 degrees.To check the accuracy, the sum of all the internal angles is calculated, which turns out to be 360 degrees, indicating the correctness of the internal angles.

design example: traverse angle computations

Traverse angle computations are a critical component of surveying, used to compute the internal angles within a closed traverse. A traverse consists of a series of connected lines forming a closed loop, often used for land boundary delineation or mapping. Calculating the internal angles ensures accuracy in the traverse geometry and is essential for checking survey data integrity.The process begins with known azimuths and bearings of the traverse sides. Internal angles at each vertex are calculated by applying basic relationships in geometry, typically using subtraction or addition of given angles from 180 degrees, depending on the orientation of the sides. For example, the internal angle at a vertex is determined by the difference between the azimuth or bearing of two adjacent sides.After computing individual angles, their sum is verified against the expected total for a closed traverse. For a four-sided traverse, the sum of the internal angles must equal 360 degrees. This check confirms the traverse’s closure and the accuracy of angle measurements.Traverse angle computations are widely applied in field surveying, construction layout, and geodetic projects, ensuring precision in creating maps, boundaries, and engineering designs.

Design Example: Traverse Angle Computations

Traverse angle computations are a critical component of surveying, used to compute the internal angles within a closed traverse. A traverse consists of a ...

design-example-traverse-angle-computations

Education

JoVE Core

Civil Engineering

Unit 1

Angles and Directions

KEY TERMS AND CONCEPTS

closed traverse angle checks

Closed traverse angle checks are used in surveying to calculate the internal angles inside a closed loop. A traverse is a set of connected lines that return to the starting point. Surveyors use it for land boundary mapping and other layout work.

The process starts with known azimuths and bearings for the traverse sides. An azimuth is a direction measured from north, and a bearing shows the direction of a line in simple survey terms. Internal angles at each vertex are then found with basic geometry, often by adding or subtracting angle values from 180 degrees based on how the sides are oriented.

Each angle is computed from the relationship between two adjacent sides. In practice, the angle at one vertex comes from the difference between the azimuth or bearing of those sides. After all angles are found, the total is checked against the expected sum for a closed traverse.

For a four-sided traverse, the internal angles should add up to 360 degrees. This total confirms that the traverse closes properly and helps show whether the angle measurements are accurate. These computations are important in field surveying, construction layout, and geodetic projects, where precise boundaries and maps are needed.

Closed Traverse Angle Checks

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Closed traverse angle checks are used in surveying to calculate the internal angles inside a closed loop. A traverse is a set of connected lines that return to the starting point. Surveyors use it for land boundary mapping and other layout work. The process starts with known azimuths and bearings for the traverse sides. An azimuth is a direction measured from north, and a bearing shows the direction of a line in simple survey terms. Internal angles at each vertex are then found with basic...

key terms and concepts

Learn how surveyors calculate internal angles in a closed traverse, check for closure, and verify accuracy in mapping, boundary, and layout work.

Closed Traverse Angle Checks | JoVE K12

JoVE Core Civil Engineering offers a foundational exploration of essential construction materials such as bricks, stones, steel, wood, and concrete, along with fluid mechanics topics like flow over immersed bodies, open channel flow, and dimensional modeling. It also covers key surveying concepts, including leveling, traverse adjustments, curve design, topographic mapping, and geospatial technologies (GPS & GIS). Science-in-action videos showcase laboratory research on materials, fluids, and surveying practices in real-world engineering systems.

civil engineering

Closed Traverse Angle Checks

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