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The observed lengths of the sides (in feet) of a five- sided closed polygon traverse are as follows: AB= 200.74, BC = 285.87, CD = 500.37, DE = 319.33, and EA = 380.78. (Note: Assume units of feet for all distances.) The preliminary azimuths obtained after balancing the angles are as follows: AB = 138°16'27", BC = 67°02′46", CD = 354°22'24", DE = 256°13'01", EA = 185°29'20".

The observed lengths of the sides (in feet) of a five- sided closed polygon traverse are as follows: AB= 200.74, BC = 285.87, CD = 500.37, DE = 319.33, and EA = 380.78. (Note: Assume units of feet for all distances.) The preliminary azimuths obtained after balancing the angles are as follows: AB = 138°16'27", BC = 67°02′46", CD = 354°22'24", DE = 256°13'01", EA = 185°29'20".

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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The observed lengths of the sides (in feet) of a five-sided closed polygon traverse are as follows:

AB

= 200.74, BC = 285.87, CD = 500.37, DE = 319.33, and EA

= 380.78. (Note: Assume units of feet for all distances.)

The preliminary azimuths obtained after balancing the angles are as follows:

AB=138∘16′27"

, BC=67∘02′46", CD=354∘22′24", DE=256∘13′01", EA=185∘29′20".

### Educational Overview: Polygon Traverse Calculations #### Lengths of Sides The observed lengths of the sides (in feet) of a five-sided closed polygon traverse are provided below. Note that all distances are measured in feet: - \( AB = 200.74 \) - \( BC = 285.87 \) - \( CD = 500.37 \) - \( DE = 319.33 \) - \( EA = 380.78 \) #### Preliminary Azimuths After balancing the angles, the preliminary azimuths for each side of the polygon are as follows: - \( AB = 138°16'27" \) - \( BC = 67°02'46" \) - \( CD = 354°22'24" \) - \( DE = 256°13'01" \) - \( EA = 185°29'20" \) These azimuths indicate the directions of the lines relative to the north, measured in degrees, minutes, and seconds. Each azimuth represents the clockwise angle from the north direction to the respective side of the polygon. #### Notes - Assume units of feet for all provided distances. - Consider these azimuths and distances when performing further calculations such as determining the coordinates of each vertex in the polygon, verifying the closure of the traverse, or calculating area. ### Detailed Analysis For students and professionals in surveying and civil engineering, these measurements are essential for plotting the polygon, checking the precision of the geometric shape, ensuring the traverse is closed, and making subsequent improvements and adjustments to the geospatial data. ### Graphical Representation A diagram could complement these data points, showing a closed polygon with labeled sides and directions. Each azimuth can be illustrated as an arrow along each side, marked with corresponding angle measurements. This helps in visualizing the orientation and helps understand the spatial relationship between each side of the polygon. Understanding these basics will aid in grasping more complex surveying concepts, such as error correction and land division.
Transcribed Image Text:### Educational Overview: Polygon Traverse Calculations #### Lengths of Sides The observed lengths of the sides (in feet) of a five-sided closed polygon traverse are provided below. Note that all distances are measured in feet: - \( AB = 200.74 \) - \( BC = 285.87 \) - \( CD = 500.37 \) - \( DE = 319.33 \) - \( EA = 380.78 \) #### Preliminary Azimuths After balancing the angles, the preliminary azimuths for each side of the polygon are as follows: - \( AB = 138°16'27" \) - \( BC = 67°02'46" \) - \( CD = 354°22'24" \) - \( DE = 256°13'01" \) - \( EA = 185°29'20" \) These azimuths indicate the directions of the lines relative to the north, measured in degrees, minutes, and seconds. Each azimuth represents the clockwise angle from the north direction to the respective side of the polygon. #### Notes - Assume units of feet for all provided distances. - Consider these azimuths and distances when performing further calculations such as determining the coordinates of each vertex in the polygon, verifying the closure of the traverse, or calculating area. ### Detailed Analysis For students and professionals in surveying and civil engineering, these measurements are essential for plotting the polygon, checking the precision of the geometric shape, ensuring the traverse is closed, and making subsequent improvements and adjustments to the geospatial data. ### Graphical Representation A diagram could complement these data points, showing a closed polygon with labeled sides and directions. Each azimuth can be illustrated as an arrow along each side, marked with corresponding angle measurements. This helps in visualizing the orientation and helps understand the spatial relationship between each side of the polygon. Understanding these basics will aid in grasping more complex surveying concepts, such as error correction and land division.
### Part A #### Compute the Departures of the Sides **Problem Statement:** Calculate the departures for the sides AB, BC, CD, DE, and EA. **Instructions:** - Express your answers in feet. - Use five significant figures. - Separate each value with a comma. **Input Box:** - \[ AB, BC, CD, DE, EA = \_\_\_\_\_\_\_\_\_\_\_ - Unit: ft ### Part B #### Compute the Latitudes of the Sides **Problem Statement:** Calculate the latitudes for the sides AB, BC, CD, DE, and EA. **Instructions:** - Express your answers in feet. - Use five significant figures. - Separate each value with a comma. **Input Box:** - \[ AB, BC, CD, DE, EA = \_\_\_\_\_\_\_\_\_\_\_ - Unit: ft #### Determine the Misclosure and the Correction Calculate the misclosure and the required correction. **Instructions:** - Express your answers in feet. - Use two decimal places. - Separate each value with a comma. **Input Box:** - \[ Misclosure, Correction = \_\_\_\_\_\_\_ - Unit: ft ### Part C #### Compute the Linear Misclosure **Problem Statement:** Calculate the linear misclosure. **Instructions:** - Express your answer in feet. - Use three significant figures. **Input Box:** - \[ \_\_\_ - Unit: ft ### Part D #### Compute the Relative Precision **Problem Statement:** Calculate the relative precision. **Instructions:** - Express your answer to three significant figures. **Input Box:** \[ 1: \_\_\_\_
Transcribed Image Text:### Part A #### Compute the Departures of the Sides **Problem Statement:** Calculate the departures for the sides AB, BC, CD, DE, and EA. **Instructions:** - Express your answers in feet. - Use five significant figures. - Separate each value with a comma. **Input Box:** - \[ AB, BC, CD, DE, EA = \_\_\_\_\_\_\_\_\_\_\_ - Unit: ft ### Part B #### Compute the Latitudes of the Sides **Problem Statement:** Calculate the latitudes for the sides AB, BC, CD, DE, and EA. **Instructions:** - Express your answers in feet. - Use five significant figures. - Separate each value with a comma. **Input Box:** - \[ AB, BC, CD, DE, EA = \_\_\_\_\_\_\_\_\_\_\_ - Unit: ft #### Determine the Misclosure and the Correction Calculate the misclosure and the required correction. **Instructions:** - Express your answers in feet. - Use two decimal places. - Separate each value with a comma. **Input Box:** - \[ Misclosure, Correction = \_\_\_\_\_\_\_ - Unit: ft ### Part C #### Compute the Linear Misclosure **Problem Statement:** Calculate the linear misclosure. **Instructions:** - Express your answer in feet. - Use three significant figures. **Input Box:** - \[ \_\_\_ - Unit: ft ### Part D #### Compute the Relative Precision **Problem Statement:** Calculate the relative precision. **Instructions:** - Express your answer to three significant figures. **Input Box:** \[ 1: \_\_\_\_
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