Differential Leveling Part 2 of 2
Summary
TLDRThis instructional video demonstrates how to calculate elevation at various points using differential leveling. It begins by determining the elevation at station 0+00 using the given benchmark elevation, back sight, and fore sight. The process is repeated for subsequent stations, with the video also showcasing a shortcut for finding the elevation at station 2+00 by using the height of the instrument and subtracting the fore sight. The video concludes with a reminder to subscribe and engage with the content.
Takeaways
- 📏 The video demonstrates how to determine elevation at various points using differential leveling.
- 🔢 The process starts by calculating the elevation at station 0+000 using the formula: Elevation at Benchmark + Back Sight at Benchmark - Fore Sight at station.
- ➡️ The elevation at subsequent stations is found by adding or subtracting the back and fore sights from the previous station's elevation.
- 📍 A turning point is introduced, and its elevation is calculated similarly by considering the instrument height and fore sight.
- 🔄 The method involves iterative steps of adding back sights and subtracting fore sights to find elevations at different stations.
- 📉 The script provides a shortcut for calculating the elevation at station 2+000 without recalculating from the beginning.
- 📊 The shortcut involves sketching a diagram and using the known elevation at the Benchmark and back sight to determine instrument height.
- 📐 The height of the instrument is used to find the elevation at turning points and subsequent stations.
- 🔢 The final elevation at station 2+000 is calculated to be 102.8 using the shortcut method.
- 🎓 The video concludes by encouraging viewers to subscribe and leave comments or questions for further engagement.
Q & A
What is the main purpose of the video script?
-The main purpose of the video script is to explain how to determine the elevation at different points using differential leveling techniques.
What is the first step in determining the elevation at station 0+000?
-The first step is to use the equation that involves the elevation at the Benchmark, the back side at the Benchmark, and the foresight at station 0+000.
What is the equation used to find the elevation at station 0+000?
-The equation used is Elevation at 0+000 = Elevation at Benchmark + Back side at Benchmark - Foresight at station 0+000.
What is the elevation at station 0+000 according to the script?
-The elevation at station 0+000 is calculated to be 106.6.
How is the elevation at station 0+50 determined?
-The elevation at station 0+50 is determined by taking the elevation at the Benchmark and adjusting for the back side at the Benchmark and the foresight at station 0+50.
What is the process to find the elevation at the Turning Point 1?
-The elevation at the Turning Point 1 is found by adding the back side at the Benchmark to the elevation at the Benchmark and then subtracting the foresight at the Turning Point.
What is the significance of the height of the instrument in the leveling process?
-The height of the instrument is significant as it helps determine the elevation at different points by being added to the elevation at one point and then subtracting the foresight at the next point.
How is the elevation at Station 2+000 calculated using the height of the instrument?
-The elevation at Station 2+000 is calculated by taking the height of the instrument at the Turning Point and subtracting the foresight at Station 2+000.
What is the final elevation at Station 2+000 as per the script?
-The final elevation at Station 2+000 is 102.8.
Why is sketching a diagram helpful in solving the leveling problem?
-Sketching a diagram is helpful as it visually represents the known elevations and backsight and foresight measurements, aiding in understanding the relationships between different points and simplifying the calculation process.
What is the benefit of using the first equation for calculating the elevation at Station 2+000 directly?
-Using the first equation directly for Station 2+000 simplifies the process by allowing the calculation to be done in one step without needing to calculate intermediate elevations.
Outlines
📏 Differential Leveling Calculations
The video script explains a method for calculating elevation at different points using differential leveling. It begins with determining the elevation at station 0+000 by using the known elevation at the Benchmark, adding the back sight at the Benchmark, and subtracting the foresight at station 0+000. The process is repeated for subsequent stations, with each station's elevation calculated based on the previous station's elevation, adjusted by the respective back and foresight readings. The script also introduces a shortcut for calculating the elevation at station 2+000 by using the initial equation and plugging in the known values directly, which simplifies the process and avoids unnecessary calculations.
Mindmap
Keywords
💡Differential leveling
💡Elevation
💡Benchmark
💡Back side
💡Fore side
💡Station
💡Turning point
💡Height of instrument
💡Line of sight
💡Instrument
💡Diagram
Highlights
Introduction to solving a differential leveling problem to determine elevation at each point.
Using known equations to find elevation at station 0+000.
Equation for elevation at 0+000 involves adding back sight at benchmark and subtracting fore sight at station 0+000.
Calculation example: Elevation at 0+000 is 110 + 3.2 - 6.6 = 106.6.
Method for finding elevation at station 0+050 by using elevation at benchmark and adjusting with back and fore sights.
Elevation at Turning Point 1 is calculated similarly by adding back sight at benchmark and subtracting fore sight at the turning point.
Determining elevation at station 1+050 by adding elevation at turning point and adjusting with back and fore sights.
Final station, 2+000, is calculated by adding elevation at turning point and adjusting with back and fore sights.
Alternative method to find elevation at station 2+000 by sketching a diagram and using known elevation and back sights.
Calculating the height of the instrument between the benchmark and turning point one.
Elevation of turning point one is determined by subtracting fore sight at turning point one from the height of the instrument.
Height of instrument between turning point one and station 2+000 is calculated using a similar method.
Final calculation for elevation at station 2+000 by subtracting fore sight at station 2+000 from the height of the instrument.
Result of elevation at station 2+000 is 102.8.
Using the initial equation for a quick calculation of elevation at station 2+000.
Plugging in the numbers to solve the equation for elevation at station 2+000.
Encouragement to subscribe and leave comments or questions for further engagement.
Transcripts
[Music]
on this occasion we're going to solve a
problem for differential
leveling we are going to determine the
elevation at each point using the given
information first we'll pull out the
known equations that we can use to find
the known I will start by finding the
elevation at station 0 + 0 0 and proceed
in that order the equation to determined
elevation at 0 + 0 0 is elevation at The
Benchmark plus the back side at The
Benchmark minus the four side at station
0 + 0 0 the equation looks like this
elevation at 0 + 0 0 is 110 + 3.2 -
6.6 =
106.6 similar way for station at 0 + 50
we take the elevation at The Benchmark
and add the back side at The Benchmark
minus the four side at station 0 +
50 next the elevation at the Turning
point1 is equal to elevation at The
Benchmark plus the back side at at The
Benchmark minus the four side at the
Turning
Point the next station is 1 + 50 and the
elevation is equal to the elevation at
the turning point plus the backside at
the Turning Point minus the for side at
Station 1 +
50 the next and final station is 2 + 0 0
the elevation is equal to the elevation
at turning point one plus the backs side
at the Turning Point minus the for side
a Station 2 plus 0
0 that is how you calculate each
elevation but what if the question was
to find elevation at Station 2 +0 we
would not have to do all this work
instead we could just sketch a diag
similar to this along with the given
information we know the elevation at The
Benchmark and the backside at this same
location with this two pieces
information we can determine the height
of instrument between the Benchmark and
the turning point
one therefore the height of the
instrument is
110 plus 3.2 and that gives us
now the elevation of Turning Point one
is the height of the instrument minus
the for side at turning point one the
height of instrument between turning
point one and Station 2 plus 0 0 is
determined in a similar way as we
previously did for the last
segment finally we take the height of
instrument and subtract the for side EST
Station 2 plus 0 0 this will equal to
102.8 and this is our elevation at
Station 2
+0 a short way of calculating the
elevation at Station 2 plus 0 0 is by
using the first equation that we pulled
out at the
beginning the equation will look as
follows just for this specific
location now we just plug in the numbers
and
[Music]
solve we hope that this was helpful
and please do not forget to subscribe or
leave any comments or questions thank
you for watching
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