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A NOT TO SCALE TODLI I VERSIUN

A NOT TO SCALE TODLI I VERSIUN

Structural Analysis
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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### Survey Plot Details and Diagram #### Table Data The table provides detailed data on a survey plot, including bearings, lengths, latitudes (LAT), departures (DEP), distances (DMD), and areas for each line segment. | Line | Bearing | Length (ft) | Latitude (LAT) | Departure (DEP) | DMD | Area | |------|----------|--------------|----------------|----------------|-------|----------| | AB | N28°19'E | 560.27 | +493.12 | +256.66 | 1098.18 | +541,535 | | BC | N56°23'W | 484.18 | +267.97 | -403.29 | 960.55 | +257,399 | | CD | S08°50'W | 375.42 | -371.04 | -57.72 | 499.54 | -185,349 | | DE | S45°10'W | 311.44 | -219.64 | -220.91 | 220.91 | -48,521 | | EA | S67°45'E | 449.83 | -170.41 | +416.26 | 416.26 | -70,935 | #### Area Calculation - Total Area: \[ \text{Area} = \frac{(494,129)}{2} = 247,065 \text{ sq. ft.} = 5.672 \text{ acres} \] #### Diagram Explanation The diagram illustrates a five-sided plot (polygon) labeled with points A, B, C, D, and E. Each side corresponds to a line segment with details provided in the table. The plot is depicted with the shape's lines which are not to scale. - **A** to **B**: Reflects the segment with the largest latitude change. - **B** to **C**: Shows a change in direction and departure indicating the angled shift. - **C** to **D**: Represents a significant negative latitude adjustment. - **D** to **E**: Depicts a further negative departure. - **E** to **A**: Closes the polygon with a significant positive departure. This geometrical representation reinforces
Transcribed Image Text:### Survey Plot Details and Diagram #### Table Data The table provides detailed data on a survey plot, including bearings, lengths, latitudes (LAT), departures (DEP), distances (DMD), and areas for each line segment. | Line | Bearing | Length (ft) | Latitude (LAT) | Departure (DEP) | DMD | Area | |------|----------|--------------|----------------|----------------|-------|----------| | AB | N28°19'E | 560.27 | +493.12 | +256.66 | 1098.18 | +541,535 | | BC | N56°23'W | 484.18 | +267.97 | -403.29 | 960.55 | +257,399 | | CD | S08°50'W | 375.42 | -371.04 | -57.72 | 499.54 | -185,349 | | DE | S45°10'W | 311.44 | -219.64 | -220.91 | 220.91 | -48,521 | | EA | S67°45'E | 449.83 | -170.41 | +416.26 | 416.26 | -70,935 | #### Area Calculation - Total Area: \[ \text{Area} = \frac{(494,129)}{2} = 247,065 \text{ sq. ft.} = 5.672 \text{ acres} \] #### Diagram Explanation The diagram illustrates a five-sided plot (polygon) labeled with points A, B, C, D, and E. Each side corresponds to a line segment with details provided in the table. The plot is depicted with the shape's lines which are not to scale. - **A** to **B**: Reflects the segment with the largest latitude change. - **B** to **C**: Shows a change in direction and departure indicating the angled shift. - **C** to **D**: Represents a significant negative latitude adjustment. - **D** to **E**: Depicts a further negative departure. - **E** to **A**: Closes the polygon with a significant positive departure. This geometrical representation reinforces
**Determine the Area by Coordinates** This image displays a polygon that you can analyze to determine its area using the given coordinates of each vertex. The coordinates are as follows: - Point 1: \( X = 2234 \), \( Y = 6965 \) - Point 2: \( X = 2454 \), \( Y = 6567 \) - Point 3: \( X = 2267 \), \( Y = 6332 \) - Point 4: \( X = 3660 \), \( Y = 6332 \) - Point 5: \( X = 3632 \), \( Y = 6337 \) - Point 6: \( X = 3315 \), \( Y = 6965 \) The shape appears as a hexagon with slightly skewed sides, common in area calculation problems that use coordinates, such as Shoelace Theorem or coordinate geometry methods. Each vertex connects to its neighbors to form the polygon. Understanding the layout of these points is essential for accurately applying mathematical formulas to find the area.
Transcribed Image Text:**Determine the Area by Coordinates** This image displays a polygon that you can analyze to determine its area using the given coordinates of each vertex. The coordinates are as follows: - Point 1: \( X = 2234 \), \( Y = 6965 \) - Point 2: \( X = 2454 \), \( Y = 6567 \) - Point 3: \( X = 2267 \), \( Y = 6332 \) - Point 4: \( X = 3660 \), \( Y = 6332 \) - Point 5: \( X = 3632 \), \( Y = 6337 \) - Point 6: \( X = 3315 \), \( Y = 6965 \) The shape appears as a hexagon with slightly skewed sides, common in area calculation problems that use coordinates, such as Shoelace Theorem or coordinate geometry methods. Each vertex connects to its neighbors to form the polygon. Understanding the layout of these points is essential for accurately applying mathematical formulas to find the area.
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