Lesson 3: Horizontal Distance Measurement Flashcards
distance between any two
random points in 3D space
Spatial Distance
- linear distance between two points on any surface
- if points are at different elevations, distance is the horizontal length between plumb lines at the points
Horizontal Distance
Factors to be Considered in Choosing
Methods of Determining Horizontal Distances
- Purpose of the Measurement
- Required Accuracy
* Rough reconnaissance ( 1 part in 100 )
* First-order surveys (1 part in 1,000,000) - Cost
Methods and Instruments Used to
Determine Horizontal Distances
- Pacing
- Tacheometry
- Graphical and Mathematical Methods
- Mechanical Devices
- Photogrammetry
- Taping
- EDM
- Global Positioning Systems
- Consists of counting the number of steps in the required distance.
- Furnishes a rapid means of approximately checking a more precise measurement of distance.
Pacing
Pacing is used on:
- reconnaissance survey
- small-scale mapping
- locating details
- defined as the length of a step
in walking
– 2 is equivalent to a stride
or a double-step
– Relative Precision: 1/200 to
1/100 is seldom less than 1/300
Pace
How to Calibrate One’s Pace?
– walk at a uniform step along a line of known length on a level
ground and count the number of paces to cover the whole stretch
– compute the pace factor (in m/pace)
Factors Affecting Length of Pace:
- Speed of pacing
- Roughness of the ground
- Weight of clothing and shoes
- Fatigue on the part of the pacer
- Slope of the terrain
- Age and sex of the individual
Mechanical Pace Counters
- Pedometer
- Passometer
a pager-size device worn on the belt
that simply records the number of steps
made based on the body’s movement (hips)
Pedometer
registers the number of paces and
distances
Pedometer
registers a pace by impact
each time a foot touches the
ground
Passometer
about the size of a watch
Passometer
- an indirect method of measuring horizontal
distances - it is based on the optical geometry of the
instruments used - uses subtended intervals and angles
observed with a transit or a theodolite on a
graduated rod or scale - relative accuracy is 1 part in 300 to 400
Tacheometry
Methods in Tacheometry
- Stadia Method
- Subtense Bar Method
- uses a telescope with 2 horizontal cross hairs and a graduated rod.
Stadia Method
Precision of the stadia method depends on the ff:
- Refinement with which
instrument was manufactured - Skill of the observer
- Length of measurement
- Effects of refraction
is set up at a distant station while a
theodolite at the end of the line
measures the horizontal angle
subtended by the distance
between the two targets
Subtense Bar Method
distances are determined geometrically
Graphical and Mathematical Methods
Mechanical Devices
- Odometer
- Measuring Wheel
- Optical Rangefinder
- Mileage Recorder
attached to a wheel for
purposes of roughly measuring
surface distances (speed)
Relative Precision:
1/200 on fairly level ground
Uses:
Route Location Surveys
Preliminary Surveys
Small-scale Mapping
Odometer
an odometer except that it is a more portable and self-contained device
Use:
Determining distance along
irregular or curved lines and
boundaries
Measuring Wheel
determines distances approximately by focusing
Optical Rangefinder