Name: correcting traverse angle errors
Uploaded: 2025-03-26T15:21:42.000Z
Duration: 1 min 12 s
Channel: JoVE

Consider that a traverse with four sides is plotted based on the field measurements taken during a site survey.First, the internal angles of the traverse are calculated and summed, yielding 359 degrees and 48 minutes.To achieve an accurate four-sided traverse, the sum of the internal angles must be 360 degrees. The shortfall of 12 minutes indicates an error in recording or measuring the readings during the fieldwork.To correct this error and ensure accuracy, the discrepancy is adjusted by distributing the 12-minute error equally among all four internal angles of the traverse, resulting in an addition of three minutes to each angle.After adjustment, the summation of the corrected angles equals 360 degrees, which confirms the accuracy of the correction.Finally, the magnetic bearing for&#160;side AB is obtained on the field as the starting point, and the new bearings for the remaining sides are calculated using the corrected internal angles as references.

anpassen eines polygonzugs

Bei der Standortvermessung eines vierseitigen Polygonzugs sind die Innenwinkel f&#252;r die geometrische Genauigkeit von entscheidender Bedeutung. Die Vermessung ergab, dass die Summe der gemessenen Innenwinkel 359 Grad und 48 Minuten betrug, also 12 Minuten weniger als die erwarteten 360 Grad. Diese Diskrepanz weist auf einen Fehler hin, der wahrscheinlich auf Messungenauigkeiten w&#228;hrend der Feldarbeit zur&#252;ckzuf&#252;hren ist.
Um diesen Fehler zu beheben, wurde im Anpassungsprozess das 12-Minuten-Defizit gleichm&#228;&#223;ig auf die vier Innenwinkel verteilt. Durch Hinzuf&#252;gen von drei Minuten zu jedem Winkel wurden die korrigierten Werte neu berechnet. Die angepasste Summe best&#228;tigte die Genauigkeit des Travers mit insgesamt 360 Grad und stellte sicher, dass der Polygonzug den geometrischen Prinzipien entspricht.
Nach dieser Korrektur wurden die Richtungen der Polygonseiten berechnet. Die magnetische Peilung der Seite AB wurde als Referenzpunkt verwendet. Mithilfe der korrigierten Innenwinkel wurden die Peilung f&#252;r die verbleibenden Seiten systematisch bestimmt. Dieser Prozess stellt sicher, dass die Beziehungen der Winkel und Linien zwischen allen Seiten genau ausgerichtet sind, was f&#252;r pr&#228;zises Plotten und Kartieren entscheidend ist.
Diese Methode behebt potenzielle Fehler und unterstreicht die Bedeutung sorgf&#228;ltiger Messungen und Fehlerkorrekturen bei Felduntersuchungen, wodurch die Genauigkeit und Zuverl&#228;ssigkeit der resultierenden Daten verst&#228;rkt wird.

Anpassen eines Polygonzugs

In the site survey of a four-sided traverse, internal angles are essential to ensure geometric accuracy. The survey revealed that the sum of the measured ...

Education

Lehre

JoVE Core

Civil Engineering

Bauingenieurwesen

Unit 1

Einheit 1

Traverse and Topographic Surveying

Einmessung und topografische Vermessung

KEY TERMS AND CONCEPTS

ZENTRALE BEGRIFFE UND KONZEPTE

Adjusting a Traverse

correcting traverse angle errors

Correcting traverse angle errors is an important step in site surveying. In a four-sided traverse, the internal angles must add up to 360 degrees. Survey data first showed a total of 359 degrees and 48 minutes, which was 12 minutes short of the expected sum. That gap pointed to a likely measurement error from fieldwork.

The correction was made by spreading the 12-minute shortfall evenly across the four internal angles. Three minutes were added to each angle, and the values were recalculated. The adjusted angles then summed to 360 degrees, which confirmed that the traverse matched geometric rules. This type of angle adjustment helps survey data stay accurate for plotting and mapping.

After the angles were corrected, the bearings of the traverse sides were found. A magnetic bearing is the direction of a line measured from magnetic north, and the magnetic bearing of side AB was used as the starting reference. Using the corrected internal angles, the bearings of the remaining sides were computed one by one. This kept the angular and linear relationships between all sides aligned and supported a precise survey layout.

Correcting Traverse Angle Errors

adjusting a traverse

Correcting traverse angle errors is an important step in site surveying. In a four-sided traverse, the internal angles must add up to 360 degrees. Survey data first showed a total of 359 degrees and 48 minutes, which was 12 minutes short of the expected sum. That gap pointed to a likely measurement error from fieldwork. The correction was made by spreading the 12-minute shortfall evenly across the four internal angles. Three minutes were added to each angle, and the values were recalculated.

latitudes and departures

Balancing Traverse Latitude and Departure

Latitudes and departures are key parts of surveying that help break a traverse line into north-south and east-west parts. These projections let surveyors work with line direction, length, bearings, and area in a clear way. They are also useful for measuring and mapping land accurately. Latitude is the north-south projection of a line. It is found by multiplying the line length by the cosine of its bearing. Departure is the east-west projection. It is found by multiplying the line length by the...

area computation by the alternative coordinate method

area-computation-by-the-alternative-coordinate-method

Shoelace Formula for Traverse Area

The Shoelace Formula is a coordinate method for finding the area of a traverse. It uses Cartesian coordinates, which are x and y values on a graph, to measure the shape accurately and with a simple step-by-step setup. The points of the traverse are listed in order around the shape. Each corner is written as a fraction, with the x-coordinate on top and the y-coordinate on the bottom. The first corner is repeated at the end of the list to close the shape. Next, diagonal lines are used to...

areas within irregular boundaries

Measuring Irregular Land Areas

Measuring irregular land areas often starts with a traverse. A traverse is a connected series of straight lines that follows the boundary as closely as possible. Surveyors use the coordinates of each traverse point to help calculate the enclosed area. One common method is the double meridian distance formula. It uses the vertex coordinates of the traverse to find the area inside the straight-line boundary. This gives a practical base for later calculations. The space between the traverse and...

design example: marking boundaries of a site using a compass

design-example-marking-boundaries-of-a-site-using-a-compass

Compass Traverse for Site Boundary Marking

Marking a site boundary with a compass uses a traverse, which is a line-by-line surveying path. The method relies on the bearings and lengths of each boundary side. It helps surveyors place corner points with accuracy. The process begins with the site details. These include the bearing and length of every boundary line. Surveyors first calculate the latitude and departure of each side. Latitude is the north-south part of a line, and departure is the east-west part. This check shows whether the...

topographic surveying and contours

Reading Terrain with Topographic Maps

Topographic surveying records the shape of land by measuring elevation, slope, and natural and man-made features. Surveyors use these measurements to build a topographic map, which shows the terrain in a visual way. These maps are important for construction planning, water resource management, and land-use analysis. Contour lines are the key feature of a topographic map. A contour line connects points with the same elevation, so it helps show the relief of the land. The spacing between contour...

plotting of topographic maps

Drawing Contour Lines from Elevation Data

Topographic maps use contour lines to show the shape of the land from elevation data. A contour line connects points with the same elevation. This makes a two-dimensional map that shows three-dimensional terrain in a clear way. To build the map, start with a scaled grid. Mark the intersections that match the survey’s elevation data points. Then assign elevation values at those points to create the base map. Next, choose a contour interval, which is the vertical change between contour lines.

methods of obtaining topography

Topographic Surveying: Old and New Methods

Topographic surveying uses land measurements to map elevations, natural features, and artificial structures. The goal is to create an accurate picture of the terrain. Surveyors have used both traditional and modern methods to do this work, and each approach has its own strengths and limits. Traditional surveying methods included transit stadia surveys and plane table surveys. These methods used tools such as theodolites and stadia rods to measure distances and angles. Surveyors then wrote the...

design example: analyzing capacity contours for flood risk assessment

design-example-analyzing-capacity-contours-for-flood-risk-assessment

Setting Bund Height to Reduce Flood Risk

Capacity contours help engineers check flood risk when a bund is built across a small valley. A bund is a raised barrier used here to store stormwater. The contour map shows how far water could spread at a chosen level, which helps judge whether nearby homes are safe. The process starts by placing the proposed bund in the valley and estimating the high flood level. Engineers then use leveling instruments to find and mark points along the upstream side that match this water level. Those points...

key terms and concepts

Learn how surveyors fix a four-sided traverse when internal angles do not total 360 degrees, then use the corrected angles to compute bearings.

Correcting Traverse Angle Errors | 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

Correcting Traverse Angle Errors

Description

Transcript

Tags