Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm)...

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Methods of obtaining contours CE 221 Higher Surveying

Transcript of Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm)...

Page 1: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Methods of obtaining contours

CE 221 ‐ Higher Surveying

Page 2: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

By estimationBy estimation

• Suitable for small scale maps where the ground p gform is not too irregular

• The process is fast and produce reasonable results when done carefullyresults when done carefully

• Steps:– Make a careful study of the position of the contourMake a careful study of the position of the contour points and try to visualize the changes in slope of the terrainDraw the contours which appear to be most definitely– Draw the contours which appear to be most definitely located by the plotted points; index contours are usually drawn first which will act as guides for the intermediate contoursintermediate contours

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Page 3: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Rubber band methodRubber band method

The rubber band should have sufficient width so that graduations at equal intervals can be marked on it to form some kind of an elastic scale. 4Prepared by: Andre‐Paul C. Ampong

Page 4: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Rubber band methodRubber band method

The rubber band is stretched between two plotted points so that p pthese points fall at scale divisions corresponding to their elevations 5Prepared by: Andre‐Paul C. Ampong

Page 5: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Variable scalesVariable scales

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Page 6: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Analytical methodAnalytical method

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Page 7: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Analytical methodAnalytical method• By similar triangles:

Where:DEH

dehm =

Where:A & B are established points on the 

ground of known elevationM is a point on a contour crossing p g

the line between A and Bhm is the horizontal map distance 

from A to M (cm)de is the difference in elevationde is the difference in elevation 

between M and A (m)DE is the difference in elevation 

between A and B (m)H is the horizontal map distance 

between A and B (cm)8Prepared by: Andre‐Paul C. Ampong

Page 8: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Triangle and scale methodTriangle and scale method

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Page 9: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Triangle and scale methodTriangle and scale method

Elev = 296.9m

El 245 5Elev = 245.5m

GiGiven:Elevation of point “a” = 245.5 mElevation of point “b” = 296 9 mElevation of point  b  = 296.9 mContour Interval = 20.0 m

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Page 10: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Triangle and scale methodTriangle and scale method

Elev = 296.9m

El 245 5Elev = 245.5m

11Prepared by: Andre‐Paul C. Ampong

Page 11: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Triangle and scale methodTriangle and scale method

Elev = 296.9m

El 245 5Elev = 245.5m

12Prepared by: Andre‐Paul C. Ampong

Page 12: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Triangle and scale methodTriangle and scale method

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Page 13: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Template methodTemplate method

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Page 14: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Template methodTemplate method

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Page 15: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Template methodTemplate method

• Sample problemSample problem

i d i d i l b i dIt is desired to interpolate between points X and Y the position of the following contours: 161, 162 163 164 d 165 Th l i f X d162, 163, 164 and 165. The elevation of X and Y are respectively 160.9 m and 165.4 m.

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Page 16: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Template methodTemplate method

Y (Elev = 165 4 m)Y (Elev = 165.4 m)5.4

165 m

163 m

164 m

162 m

X (Elev = 160.9 m)0.9

161 m

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Page 17: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Template methodTemplate method

• Sample ProblemSample Problem

l d d hAssume two plotted ponts A and B have elevations of 117.5 m and 125.8 m, 

i l I i i d lrespectively. It is required to locate contours 120 and 125 using a template of converging lilines.

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Page 18: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Template methodTemplate method

A (Elev = 117.5 m)

B (Elev = 125.8 m)

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Page 19: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Template methodTemplate method

A (Elev = 117.5 m)

01

B (Elev = 125.8 m)1

23

45

677

8

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Page 20: Methods of obtaining contours - WordPress.com · m is the horizontal map distance from A to M (cm) deis the difference in elevation between M and A (m) DEis the difference in elevation

Template methodTemplate method

A (Elev = 117.5 m)

01

B (Elev = 125.8 m)

12

34

56

7 88

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