3. The following questions refer to the set of differential leveling notes shown in Table 2. a. Determine the elevation of each station. b. The elevation of BM 132 is known to be 153.236 m. The length of the level run was 780 m, with each station equally spaced. Adjust the elevation of each station such that the error is evenly spaced. Show sample calculations of your work. c. Determine the accuracy ratio and state whether the survey meets the requirement of an accuracy ratio of less than 1/1,000. Station BM 130 TP 1 TP 2 TP 3 BM K110 TP 4 BM 132 B5 (m) 0.608 1.030 0.482 1.591 2.145 1.997 Table 2 HI [m] FS [m] Elevation [m] 153.285 1.525 0.736 2.83 1.885 1.735 0.321
3. The following questions refer to the set of differential leveling notes shown in Table 2. a. Determine the elevation of each station. b. The elevation of BM 132 is known to be 153.236 m. The length of the level run was 780 m, with each station equally spaced. Adjust the elevation of each station such that the error is evenly spaced. Show sample calculations of your work. c. Determine the accuracy ratio and state whether the survey meets the requirement of an accuracy ratio of less than 1/1,000. Station BM 130 TP 1 TP 2 TP 3 BM K110 TP 4 BM 132 B5 (m) 0.608 1.030 0.482 1.591 2.145 1.997 Table 2 HI [m] FS [m] Elevation [m] 153.285 1.525 0.736 2.83 1.885 1.735 0.321
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![The text presents a set of differential leveling notes outlined in Table 2. The task involves three main parts:
a. **Determining the Elevation of Each Station**:
- Calculate the elevation for each station using the given data.
b. **Adjusting Elevation with Known Reference**:
- The elevation of BM 132 is given as 153.236 meters.
- The total length of the level run is 780 meters, with an equal spacing between each station.
- Adjust the elevation at each station to account for any errors, ensuring the error is evenly distributed. Provide sample calculations to demonstrate this adjustment.
c. **Evaluating Accuracy Ratio**:
- Assess the accuracy ratio of the survey.
- Verify if the survey meets the accuracy requirement, which is an error ratio of less than 1/3,000.
**Table 2 Explanation**:
- The table contains the following columns: Station, BS (Backsight) [m], HI (Height of Instrument) [m], FS (Foresight) [m], and Elevation [m].
- Stations: BM 130, TP 1, TP 2, TP 3, BM K110, TP 4, BM 132.
- Given data includes values for BS, HI, FS, and Elevation for each station. The elevation for BM 132 is noted as 153.236 meters.
- To calculate missing elevations using the BS and FS values, apply the formula:
\[
\text{Elevation at next station} = \text{Elevation at current station} + \text{BS} - \text{FS}
\]
These steps and calculations will facilitate the determination of accurate elevations and ensure the survey complies with the specified accuracy standards.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F244041aa-14a7-461b-8dc7-dc939a310397%2F7f08a90a-50c3-4df2-bd85-0b1cb0f17fb3%2F4y4pul_processed.png&w=3840&q=75)
Transcribed Image Text:The text presents a set of differential leveling notes outlined in Table 2. The task involves three main parts:
a. **Determining the Elevation of Each Station**:
- Calculate the elevation for each station using the given data.
b. **Adjusting Elevation with Known Reference**:
- The elevation of BM 132 is given as 153.236 meters.
- The total length of the level run is 780 meters, with an equal spacing between each station.
- Adjust the elevation at each station to account for any errors, ensuring the error is evenly distributed. Provide sample calculations to demonstrate this adjustment.
c. **Evaluating Accuracy Ratio**:
- Assess the accuracy ratio of the survey.
- Verify if the survey meets the accuracy requirement, which is an error ratio of less than 1/3,000.
**Table 2 Explanation**:
- The table contains the following columns: Station, BS (Backsight) [m], HI (Height of Instrument) [m], FS (Foresight) [m], and Elevation [m].
- Stations: BM 130, TP 1, TP 2, TP 3, BM K110, TP 4, BM 132.
- Given data includes values for BS, HI, FS, and Elevation for each station. The elevation for BM 132 is noted as 153.236 meters.
- To calculate missing elevations using the BS and FS values, apply the formula:
\[
\text{Elevation at next station} = \text{Elevation at current station} + \text{BS} - \text{FS}
\]
These steps and calculations will facilitate the determination of accurate elevations and ensure the survey complies with the specified accuracy standards.
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