This video introduces traversing and traverse computations, focusing on the definitions of interior and exterior angles. The theoretic sum of interior angles should equal (2N-4) right angles, and that of exterior angles should equal (2N+4) right angles, where N is the number of sides. The video also discusses the close traverse interior angle adjustment method, which involves calculating the sum of measured interior angles and balancing them to equal the true geometric sum of interior angles, S.
A closed traverse is necessary for computing land areas, and the interior angles of a closed traverse should total (n – 4) n. The most complete adjustment methods use least-squares to make the smallest possible changes. The video also discusses the difference between precision and accuracy of a traverse, identifying sources of error, and calculating angular misclosure in a traverse.
The POLYGON traverse is considered, and the L.H. Angles are also internal angles. The most complete adjustment methods use least-squares to adjust angles and distances, making the smallest possible changes. To determine and distribute angular misclosure, a two-step process is used: computing the raw direction of each angle using the start direction and measured angles, and applying an average correction to each angle. The axis method is used to balance a traverse where angles are measured more precisely than lengths.
📹 Traverse angle adjustment
What is the angular adjustment of a traverse?
Angular misclosure distribution is the initial step in traverse computations, requiring angle adjustment to meet the angular condition. Less squares traverse adjustment does not adjust angles, as angular misclosure is part of the overall adjustment. To approximate random error behavior, a distribution method is recommended. Simplified methods have advantages and disadvantages, but unless using least squares adjustment, they do not reconcile error accumulation.
How do you measure the angle of a traverse?
The traverse stations’ angles, including interior, deflection, and right angles, are measured using a variety of instruments, including tapes, transits, theodolites, compasses, plane tables, and sextants. The lengths and azimuths of each traverse line are estimated through field measurements.
How do I calculate interior angles?
The sum of the interior angles of a polygon is calculated using the formula (n – 2) × 180°, where n is the number of sides. A regular polygon is defined as one in which all angles are equal and all sides are of equal length. In order to ascertain the sum of the interior angles, it is necessary to divide the polygon into triangles, the sum of whose angles is 180°. In order to ascertain the magnitude of an interior angle, it is necessary to multiply the number of triangles that comprise the polygon by 180°.
How to calculate interior angles of a traverse?
The interior angle adjustment method computes the algebraic sum of interior angles, which must be (2n – 4) X 90°, where n is the number of sides in the traverse. If no difference is found, no error is associated with the observation. If there is an error, the error is distributed equally among all the angles to find their corrected values. The azimuth of the line is computed using the adjusted interior angles.
The sum of the interior angles of a traverse should not deviate from (2n – 4) X 90° by more than the square root of the number of instrument setups times the estimated standard deviation in observing the angles. If the misclosure is within the permissible limit, the error should be adjusted. If large, the error should be located and corrected before leaving the field.
In closed loop traversing, the absolute orientation is based on one angle observed between the known azimuth line and the side of a traverse. To eliminate this weakness, another angle should be observed from another traverse point to another independent line of known azimuth.
How to balance angles in a closed traverse?
The process of balancing angles of closed traverses entails the calculation of the discrepancy between the theoretically optimal sum and the empirically determined sum of interior angles. This is achieved by dividing the number of angles by the number of angles and adding or subtracting a correction factor to each azimuth or interior angle, with the objective of ensuring that the new interior angles sum to the “perfect” value.
How can a traverse be adjusted?
FieldGenius is a tool that can perform a traverse balance using vertical, angle, or compass balances. It can select any of these adjustment types or apply all three. The traverse routine defines traverse points using traverse TR records in the raw file. FieldGenius computes an adjustment and writes the new coordinates to the RAW file AP records. After making an adjustment, it adjusts sideshots and re-processes all setups and sideshots in the raw file. For more information on creating a traverse loop with FieldGenius, refer to the Traverse Report topic.
How do you solve interior angle problems?
The formula for calculating the sum of interior angles is given by the equation (n − 2) * 180, where n is the number of sides. This can be divided by n to find the measure of one interior angle.
What is the common method of adjusting a closed traverse?
The Bowditch method is a widely utilized approach for adjusting a traverse, offering precise linear and angular measurements. Other methods include those employing a transit, an axis, or a graphical approach. Bowditch’s method is the most commonly utilized, followed by the axis method, transit method, and graphical method.
Can an open traverse be adjusted?
The text suggests that an open traverse, rather than a linked traverse, is not suitable for adjusting angles due to the absence of known azimuth points at the end. To fix this, either establish known and related beginning and end points, making the open traverse a linked traverse, or make additional measurements to wrap the traverse around and make it a closed figure. The “angular method” adjustments were designed to distribute the gross angular misclosure among traverse stations, assuming it was due to systematic equipment error. To minimize this error, multiple readings in both face 1 and face 2 orientations of the total station should be taken.
What is the formula for some of interior angles?
The formula for calculating the interior angle sum of a polygon is (n – 2) x 180°, where n is the number of sides. To illustrate, a pentagon with five sides has an interior angle sum of 540°, as demonstrated by Sal Khan.
What is the traversing angle?
Traversing is a survey method where multiple connected lines are used to measure directions and lengths. The Staff Selection Commission is conducting the SSC JE 2024 exam to recruit Junior Engineers in various departments of the Central Government. The selection process includes Paper I, Paper II, Document Verification, and Medical Examination. Interested candidates can apply online from March 28th to April 18th, 2024.
📹 TRIGO Presentation (5-sided polygon; Bearings, Azimuth, and Interior Angles)
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