Horizontal and Vertical Distance Flashcards
Horizontal Distance
Distance by Measurement
Distance by Mechanical Device
Distance by Electronic Distance Measurement
Distance by Measurement
- Pacing
- Taping
- Tachymetry
Length of step in walking
Pacing
Length of one’s pace
Pace Factor-
Pacing Relative Precision
1/200
Most common method of measuring or laying out of horizontal distances.
Measured by stretching a calibrated tape between two points and reading distance indicated on the tape.
Tape
Relative Precision of Taping
1:1000 to 1:25000
Based on optical geometry
Tacheometry
Determining horizontal distance
Precision depends on instrument, skills of the observer, length to be measured, parallax and refraction
Used in the topographic survey
Stadia Method
Precision of Stadia Method
1/300 and 1/1000
Stadia Method Formula:
D=Ks+C
Where:
K= Stadia Interval Factor (100)
s= stadia interval (upper-lower reading)
C= stadia constant (distance from the center of the instrument to the principal focus) value: 0
How long is Subtense bar
= 2 meters long
Subtense Bar Method
D= (𝑆/2)/tan〖𝛼/2〗
S= 2.0 m
D= 1/tan〖𝛼/2〗 or cot𝛼/2
Distance by Mechanical Device
- By Odometer
- By Measuring Wheel
- Optical Rangefinder
Measuring the number of revolution of the wheel
By Odometer
Odometer Precision
1/200
Similar to odometer except more portable and self
Contained
By Measuring Wheel
Uses single-lens reflex camera
Optical Rangefinder
Precision of Optical Rangefinder
1/50 for distance less than 500 meters
Distance by Electronic Distance Measurement
- Geodimeter
- Tellurometer
Very careful measurement in determining the interval of time between emission and reception of transmitted waves.
Electronic Distance Measurements
Basic Principle: Linear Distance are based time required for radio or light wave to travel from one end of a line to the other.
a. Electro-Optical Instruments
b. Microwave Instruments
Instrument that transmit wavelength within the visible spectrum
Electro-Optical Instruments
- Transmit microwave corresponding to wavelengths of about 1.0 to 8.6 mm.
Microwave Instruments
Projects a pulsating visible light beam to a reflector which returns the light to the instrument.
Geodetic Distance Meter
Utilize a high frequency microwave transmission
distance can be computed on the basis of velocity of radio waves
Tellurometer
Precision of Geodetic Distance Meter:
1/200,000
Precision of Tellumeter:
1/300,000
- surveyor’s or engineer’s tape
- Most common: 30 meter tape
Steel Tapes
- Tapes woven from synthetic materials with strong dimensional stability.
- Use when working on electrical installation
Non-metallic tapes
LIST OF Measuring Tape
SNILFW
1. Steel Tapes
2. Non-metallic tapes
3. Invar Tapes
4. Lovar Tape
5. Fiberglass
6. Wires
Invar Tapes are made of how many percent of alloy nickel?
35%
Invar Tapes are made of how many percent of Steel?
65%
Properties and costs somewhere between the conventional steel tapes and invar tape.
Lovar Tape
Made of fiberglass in a longitudinal and transverse pattern
Fiberglass
Flat steel tape utilized in measuring lengths.
Wires
Measurement directly along the slopes when the ground is of uniform inclination and fairly smooth.
Slope Taping
List Corrections
TPS
Corrections Due to Temperature
Corrections Due to Pull
Corrections Due to Sag
Tape Correction - TOO LONG
Measuring - ADD
Layout - SUBTRACT
Tape Correction - TOO SHORT
Measuring -SUBTRACT
Layout - ADD
Tape Correction
Corr = TL-NL
Vertical Distance
- Leveling
- Level Surface
- Level Line
- Horizontal Surface
- Horizontal Line
- Vertical Line
- Mean Sea Level
- Geoid
- Datum
- Elevation
- Difference in Elevation
Directly or indirectly measuring vertical distances to determine the
elevation of points or difference in elevation.
Leveling
Leveling Used in:
- Engineering design
- Construction
- Production of topographic map
Leveling Used in:
- Engineering design
- Construction
- Production of topographic map
Curved surface which any point perpendicular to the direction of gravity or plumb line
Level Surface
Curved line in a level surface all points of which are normal to the direction of gravity and equidistant from the center of the earth.
Level Line
Plane tangent to a level surface at a particular point
Horizontal Surface
- Straight-line in a horizontal plane which is tangent to a level line at one point.
- Perpendicular to the direction of gravity at the point of tangency
Horizontal Line
-line parallel to the direction of gravity.
Vertical Line
- Imaginary surface of the sea which is
midway between high and low tides. - Reference surface to which most
ground elevations are referred.
Mean Sea Level
How to determine Mean Sea Level?
Averaging the height of the sea’s surface for all its tide stages over a long period of time which may extend to about 20 years
The state of gravitational equilibrium.
Mean Sea Level
The model of the global mean sea level.
Geoid
Convenient level surface parallel to the mean sea level to which elevations of a particular are referred.
Datum
Abstract coordinate system with a reference surface (such as sea level) that serves to provide known locations to begin surveys and create maps.
Geodetic datum
Vertical Distance above or below mean sea level
Elevation
Above mean sea level
Positive Elevation
Below mean sea level
Negative Elevation =
Vertical distance between the two level surfaces in which the point lie.
Difference in Elevation
Errors in Leveling
IPN
1. Instrumental Errors
2. Personal Errors
3. Natural Errors
Imperfection in the instruments either from faults in their manufacturers or from improper adjustments
Instrumental Errors
List of Instrumental Errors
IRD
a. Instrument out of Adjustment
b. Rod Not Standard Length
c. Defective Tripod
- leveling being out of adjustments
- error will gently minimized or eliminated if the backsight and foresight distance are kept nearly equal.
Instrument out of Adjustment
-inaccurate graduations or divisions on a rod which may introduced systematic errors
Rod Not Standard Length
Effect of Rod Not Standard Length
Effects: incorrect markings on the tape.
Movement of the level due to setting of the tripod legs.
Defective Tripod
- Limitations of senses, skills, training and teamwork
- Erroneous manipulation
Personal Errors
List of Personal Errors
BPFRIU
a. Bubble Not Centered
b. Parallax
c. Faulty Rod Readings
d. Rod not Held Plumb
e. Incorrect Setting of Target
f. Unequal Backsight and Foresight Distances
Datum that Fit in a certain region.
Local Datum
Datum that fit worldwide.
Earth-centered datum.
- bubbles is not centered in the level vial
Bubble Not Centered
How to fix the problem, bubbles is not centered
The instrument should not be unnecessarily handled.
- slightly divergent value could be res.
-relative displacement b/w image focusing lens.
Parallax
-misreading number in meters and decimals when taking rod readings.
Faulty Rod Readings
- Instruments are equipped with 3 horizontal hairs
- 3 reading are usually recorded.
Note:
the difference between the middle and lower readings =difference between middle and upper readings.
Precise Levelling
- rod not held as nearly vertical as possible.
Rod not Held Plumb
What if foresight are consistently greater than backsights?
= errors will be cumulative
not handle levelling rod carefully
Incorrect Setting of Target
Make backsight and corresponding foresight distance nearly equal
Unequal Backsight and Foresight Distances
Effects of Unequal Backsight and Foresight Distances.
Error due to imperfect adjustments and error due to curvature and refraction are reduced or totally eliminated.
How to balance Foresight and Backsight?
- taping, pacing, or stadia measurement
Could not be totally removed but their effects can be reduced by applying corrections
Natural Errors
Can occur in long sights and when backsights and foresights are not equal.
Curvature of the Earth
Curvature error
.07/100 meters
List of Natural Errors
a. Curvature of the Earth
b. Atmospheric Errors
c. Temperature Variations
d. Wind
e. Settlement of Instruments
f. Faulty Turning Point
- Fluctuating refraction in the atmosphere.
- Likely because heatwaves are present making the rod unsteady when sight is taken.
Atmospheric Errors
How to be avoid Atmospheric Errors?
Short distances.
Can be neglected or is negligible
Ordinary Leveling
Combined corrections for curvature and refraction are applied to observed rod readings.
Precise Leveling
Level rods either expand or contract.
Temperature Variations
Shakes a leveling instrument making it difficult to center the bubble in
the level vial.
Wind
Cumulative since every settlement of the instrument increase the
computed elevations of all error observed points by the amount of
settlement.
Settlement of Instruments
- Differential leveling work
- source of error
- settlement of instrument
- cumulative type
Faulty Turning Point