Spectra Precision FOCUS 2 Series - Coordinate KA2; Coordinates BC, EC Which Is ARC (IP1,IP2,EP)

SPECTRA PRECISION FOCUS 2 SERIES TOTAL STATION USER GUIDE
B – Calculate Road Alignment
157
Coordinate KA2
N
KA2
= N
IP1
− D
2
⋅ c o s α
2
E
KA2
= E
IP1
− D
2
⋅ sin α
2
Bearing from IP1 to IP2, α
2
= 322°07’30.1’’:
N
KA2
= 1300 –(-182.468) ∗ cos 322°07’30.1’’= 1444.032 m
E
KA2
= 1750 –(-182.468) * sin 322°07’30.1’’= 1637.976 m
Coordinates BC, EC which is ARC (IP1,IP2,EP)
Arc length CL = R ⋅ IA
When IA= 95°52’11’’ :
Tangent length:
Each coordinate is calculated as follows:
N
BC
= N
IP2
− TL ⋅ cos α
2
E
BC
= E
IP2
− TL ⋅ sin α
2
N
EC
= N
IP2
− TL ⋅ cos α
3
E
EC
= E
IP2
− TL ⋅ sin α
3
where:
α
2
(bearing from IP1 to IP2) = 322°07’30.1’’
α
3
(bearing from IP2 to EP) = 57°59’40.6’’
the coordinates values are:
N
EC
= 11750 - 221.615 ∗ cos322°07’30.1’’ =1575.068 m
E
BC
= 1400 - 221.615 ∗ sin322°07’30.1’’ =1536.058 m
N
EC
= 1750 –(-221.615) ∗ cos57°59’40.6’’=1867.456 m
E
EC
= 1400 –(-221.615) ∗ sin57°59’40.6’’=1587.929 m
CL 200 95°52′11″
π
180°
-----------
×× 334.648m==
TL R
IA
2
------


200 95°52′11″ 2⁄()tan× 221.615m==tan⋅=