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.&#160;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.

cálculos de ángulos de poligonales

Design Example: Traverse Angle Computations

Los c&#225;lculos de &#225;ngulos poligonales son un componente fundamental de la topograf&#237;a, que se utilizan para calcular los &#225;ngulos internos dentro de una poligonal cerrada. Una poligonal consiste en una serie de l&#237;neas conectadas que forman un bucle cerrado, que se utiliza a menudo para la delineaci&#243;n o el mapeo de l&#237;mites terrestres. El c&#225;lculo de los &#225;ngulos internos garantiza la precisi&#243;n en la geometr&#237;a de la poligonal y es esencial para verificar la integridad de los datos de la topograf&#237;a.
El proceso comienza con los acimutes y rumbos conocidos de los lados de la poligonal. Los &#225;ngulos internos en cada v&#233;rtice se calculan aplicando relaciones b&#225;sicas en geometr&#237;a, generalmente mediante la resta o suma de &#225;ngulos dados a partir de 180 grados, seg&#250;n la orientaci&#243;n de los lados. Por ejemplo, el &#225;ngulo interno en un v&#233;rtice se determina por la diferencia entre el acimut o el rumbo de dos lados adyacentes.
Despu&#233;s de calcular los &#225;ngulos individuales, se verifica su suma con el total esperado para una poligonal cerrada. Para una poligonal de cuatro lados, la suma de los &#225;ngulos internos debe ser igual a 360 grados. Esta verificaci&#243;n confirma el cierre de la poligonal y la precisi&#243;n de las mediciones de &#225;ngulos.
Los c&#225;lculos de &#225;ngulos transversales se aplican ampliamente en topograf&#237;a de campo, dise&#241;o de construcci&#243;n y proyectos geod&#233;sicos, lo que garantiza la precisi&#243;n en la creaci&#243;n de mapas, l&#237;mites y dise&#241;os de ingenier&#237;a.

Cálculos de ángulos de poligonales

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

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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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design example: traverse angle computations

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 provides a foundational exploration of essential construction materials in civil engineering, focusing on bricks, stones, steel, wood, and concrete through easy-to-understand animated videos. This collection covers the properties, manufacturing processes, and practical applications of these materials. Additionally, the accompanied science-in-action videos demonstrate the research experiments performed in laboratories.

civil engineering

Closed Traverse Angle Checks

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