Geokon 6101, Инструкция по эксплуатации, Страница: 10 / 14

5
Peg 2 and 4. Tilt in this direction is given by the difference –63 – (+11) = –74
Note that the tilt is towards Peg 1 and towards Peg 4. (A positive figure for both the differences means that the tilt
is towards Pin 1 and Pin 2.)
The magnitude of the tilt can be calculated in degrees from the formula:

degrees = sin
–1
x 10
–4 for all Geokon tiltmeters and Sinco English tiltmeters
DIFF
4
or, in mm/m, or thousands of inches/inch
tilt = DIFF/40
[ or

degrees = sin
–1
x 10
–4
for Sinco
metric
tiltmeters only.]
DIFF
5
[or, in mm/m, or thousands of inches/inch tilt= DIFF/50]
Assuming that the present example is from a Geokon metric tiltmeter:
The tilt in the Peg 1 direction is sin
–1
x 10
–4
= 0.148

= 2.58mm/m
103
The tilt in the Peg 4 direction is sin –1 x 10
–4
= 0.106

= 1.85mm/m
4
74
4
These two tilts can be combined, to give the maximum resultant tilt and its direction. This is done by first
calculating the angle of the combined or resultant tilt from the formula
Where θ
1
= The tilt angle across Pegs 1 and 3, and θ
2
= the tilt angle across pegs 2 and 4.
In the present example Tan θ
R =
= = 0.003177
And the tilt θ
R
= 0.182

Or 3.177 mm/m
And the direction to θ
R
is given by:

= cos
–1
( Tan θ
1
/ Tan θ
R
)
=
cos
–1
(0.002583/0.003177)
In the present example = 35.6

clockwise from the Peg 1 direction

θ
1
θ
2
θ
R
0.002583
2
+ 0.00185
2
Tan θ
R
=
(Tan θ
1
)
2
+(Tan θ
2
)
2