planes and lines

8/17/2019 Planes and Lines

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Stereonet

Plotting planes and lines

Boris Natalin


2/41

Conventional lettering on stereonet


3/41

My lettering (on the stereonet)

2790


4/41

Lettering on the overlay

Use marks

that are

shown by

red


5/41

Plotting planePlotting:

1) Rotate theoverlay to

the mark that

correspond

to 55º

Dip direction

and dip

angle of

bedding


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Plotting plane

Great circle

2) Keep the

overlay in this

position 3) Plot the

plane and

pole on the

overlay

(blue)


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4) Check

plotting

rotating the

overlay

to the initial

position.

Done!


8/41

Plotting a line

Plotting:

1) Rotate theoverlay to the

mark that

correspond to

50º


9/41

Plotting a line

2) Keep the

overlay inthis position

3) Plot the line

on the overlay

(blue dot)


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4) Check

plotting

rotating theoverlay

to the initial

position.

Done!


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Small circles


12/41

Rotation about vertical axis

Trace of the rotation of a

line about vertical axis

(Fig. a) makes small circle


13/41

Rotate a line 60/30

clockwise for 45º

Red mark

Red mark


14/41

Plotting the line:

1) Rotate red mark onthe overlay to plunge

direction of 60º

2) Plot the line counting

30º from the periphery

of stereonet

Rotate a line 60/30

clockwise for 45º


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3) Keep the

position of the

overlay

4) Visualize

clockwise

rotation for 45º5) Plot a blue

mark onto the

overlay, whichis the plunge

direction after

rotation

Vertical

axis

Rotate a line 60/30

clockwise for 45º

blue

mark


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6) Rotate theblue mark to

the horizontal

diameter of

the stereonet

Rotate a line 60/30

clockwise for 45º


17/41

7) Plot the line

counting 30°.

Rotation about

the verticalaxis does not

change the

plunge!

Rotate a line 60/30

clockwise for 45º


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Line is rotated!


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Clockwise rotation of

the plane 60/30 about

the vertical axis for 45º

1) Plot the plane

rotating redmark to 60º


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2) Keep the

position of the

overlay

3) Visualize

clockwise

rotation for 45º

4) Plot a bluemark onto the

overlay either

for the new

plunge direction

of the pole or for

the strike line




Cl k i t ti f th


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The new plunge

direction of the

pole is used.5) Rotate it to the

horizontal

diameter

6) Plot the newpole (red).

Rotation about the

vertical axis does

not change itsplunge!

7) Plot the new

plane (red)

Clockwise rotation of the

plane 60/30 about the

vertical axis for 45º


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Rotation is done!





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Examine the results


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1) Plot the line

Where horizontal

axis is?

Where vertical

diameter of

stereonet is?


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2) Visualize the

problem. The axis of

the rotation is verticaldiameter of

stereonet. Clockwise

rotation should be

about the northernend of this axis.

3) Count 45º along

the small circle in the

proper direction.

4) Plot the rotatedline (red).

The problem is

solved!

plane 60/30


26/41

plane 60/30

1) Plot the plane 60/30

plane 60/30


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plane 60/30

2) Visualize the

problem. The axis of

the rotation is verticaldiameter of

stereonet. Clockwise

rotation should be

about the northernend of this axis.

3) For the pole (blue

dot) count 45º along

the small circle in the

proper direction.4) Plot the rotated

pole (red dot).


28/41

plane 60/30

5) Rotate theoverlay until the new

(rotated) pole (red

dot) occur on the

horizontal diameter.


29/41

plane 60/30

6) Plot the plane

for the rotated

pole


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plane 60/30

7) Rotate the

overlay in the

initial position.

The problem issolved!!


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Rotation about axis of any orientation

Red mark on overlay

Plungedirection

245º


32/41

245

Plotting the

axis of

rotation,

which is

determined


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Plotting the

line, whichwe will

rotate


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Checking


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• Rotation is

counterclockwise

• Rotations about

vertical or

horizontal axis are

simple• We will use both

of them


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• Move the

determined axis of

rotation tohorizontal diameter

(rotate overlay)

• Then use vertical

diameter as theaxis of rotation and

move blue mark to

the periphery of

stereonet (33º)

• Move the line in

the same direction

along the small

circle for 33º


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• Rotate stereonet

about the vertical axis

for 90º

In this position, the

vertical diameter of

stereonet coincide with

the determined axis of

rotation


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Rotate the line for 45º

(move red mark alongthe small circle in

accord with the sense

of rotation)


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Rotate stereonet back

for 90º about the vertical

axis (blue mark must beon the horizontal

diameter)

• Use horizontal axis

(vertical diameter) to rotate

the determined axis of the

rotation to its originalposition

• The line should also be

rotated (move red mark for

33º)


40/41

• Return

stereonet to theinitial position

• Rotation is

done


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planes and lines

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