The common tangent AB of a compound curve is 76.42 m with azimuth of 268°30! The vertex V being inaccessible. The azimuth of the tangents AV and VB was measured to be 247°50' and 282°50' respectively. If the stationing of A is 43 + 100.46 and the degree of the curve is 4° based on 20 meter arc. Determine the stationing of PT. 43 + 151.56 43 + 061.55 O 43 + 199.68 43 + 109.65

The common tangent AB of a compound curve is 76.42 m with azimuth of 268°30! The vertex V being inaccessible. The azimuth of the tangents AV and VB was measured to be 247°50' and 282°50' respectively. If the stationing of A is 43 + 100.46 and the degree of the curve is 4° based on 20 meter arc. Determine the stationing of PT. 43 + 151.56 43 + 061.55 O 43 + 199.68 43 + 109.65

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Coordinate Geometry of Survey

Coordinate geometry (COGO) is a method of inserting surveying or engineering data into geographic information system (GIS), computer-aided design (CAD), or mapping software. These data can be collected on the proposed construction site using standard surveying techniques and instrumentation or may be taken from existing maps, engineering plans, drawings, or records. Data gathered on the site includes coordinates of points, bearings, and distances between points. The data are noticed and noted through conventional surveying procedures, like a traverse or layout measurement series and it can be either digital or non-digital. The maps and plans are inclusive of boundaries, divisions, and other components, and these features are shown with coordinate values, the lengths, offset distance, and bearings between them.

Question

The common tangent AB of a compound curve is 76.42 m with azimuth of 268°30! The vertex V being
inaccessible. The azimuth of the tangents AV and VB was measured to be 247°50' and 282°50'
respectively. If the stationing of A is 43 + 100.46 and the degree of the curve is 4° based on 20 meter arc.
Determine the stationing of PT.
43 + 151.56
O 43 + 061.55
43 + 199.68
43 + 109.65

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TOPIC: Surveying (Horizontal Curves)
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Subject: Surveying 2.3 Please show your correct/detailed solution.
1. From a known point V (vertex), the tangent lines of a compound curve are drawn - having azimuths 300 (forward tangent) and bearing N 04 E (back tangent), respectively. A common tangent line CD intersects the two tangent lines at bearing S 34° E. Stationing of the vertex of the compound curve is 16+ 464.35 and the distance from point D to the vertex of the compound curve is 137.6 m. If the external distance of the curve passing through the PC is 1.42 times the external distance of the simple curve that passes through the PT, solve for the following. a. Radius of the curve that passes through the PC b. Radius of the curve that passes through the PT c. Stationing of the PT
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