The following offsets were taken from a survey line to an irregular boundary line. (see image) Calculate the area enclosed between the survey line, the irregular boundary line and offsets by: a) Trapezoidal Rule b) Simpson's Rule

The following offsets were taken from a survey line to an irregular boundary line. (see image) Calculate the area enclosed between the survey line, the irregular boundary line and offsets by: a) Trapezoidal Rule b) Simpson's Rule

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

Traverse Survey

Traverse surveying is a popular method of surveying. Traversing is that type of survey where several connected survey lines form a framework and the directions and lengths of the survey lines are measured with the help of a tool to measure angles and tape or chain respectively. Traverse networks involve placing survey stations in a queue or trail and using pre-tested points as a basis for looking at the next point. This type of surveying is different from Tacheometric surveying, where only angles are measured and the process of chaining is reduced.

Question

The following offsets were taken from a survey line to an irregular boundary line. (see image)

Calculate the area enclosed between the survey line, the irregular boundary line and offsets by:

a) Trapezoidal Rule
b) Simpson's Rule

The Following Offsets were taken from a survey line to an irregular boundary line
Chainage
| (m)
Offsets (m) 3.54
20
30
40
70
100
130
5.21
6.63
5.87
6.60
4.79
3.11
Calculate the area enclosed between the survey line, the irregular boundary line and offsets by:
a) Trapezoidal Rule
b) Simpson's Rule

Determining the relative position of points on the Earth's surface and measuring the angle and distance between them in order to calculate the required parameters such as elevation and enclosed area.

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