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