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Program name: S-CURVE
Function: Single Curve
C
M
I
IP
TL
BC
EC
R
CL
SL
l
D
BC
Input: I, R, l
Output (and Function):
TL = R tan
I
2
δ
=
CL = R Ƹ I Ƹ
C = 2R Ƹsin
I
2
SL = R
I
2
¥
§
´
¶
sec – 1
M = R
I
2
¥
§
´
¶
1 – cos
Program name: CL-CURVE
Function: Clothoid Curve
T
T
D
0
T
L
R
M
S
L
T
K
(X
M
, Y
M
)
(X, Y)
Y
X
Input: R : Curve radius
A : Parameter
Output:
L,
τ
, (X, Y), (X
M
, Y
M
), T
L
, T
K
, S,
δ
Formula:
L =
τ
=
X =
Y =
l
2
R
180°
P
l
2
R
180°
P
P
180°
P
180°
A
2
R
A
2
R
L
2
R
L
2
R
2
A
cos
d
°
0
2
A
cos
d
°
0
2
A
sin
d
°
0
2
A
sin
d
°
0
X
M
= X – R sin
τ
Y
M
= Y + R cos
τ
T
K
= Y cosec
τ
T
L
= X – Y cot
τ
S =
δ
= tan
–1
Program name: V-CURVE
Function: Vertical Curve
l
M
y
x
2
l
i
1
i
2
R
Input: i
1
, i
2
, R, x
Output (and Function):
l =
M =
y =
Program name: FORWARD
Function: Forward Intersection
AB
P
A
B
G
(X
P
, Y
P
)
(X
B
, Y
B
)
(X
A
, Y
A
)
X
Input: (X
A
, Y
A
),
α
, (X
B
, Y
B
),
β
However, you need to input a value
in the following range: 0° <
γ
< 180°
Output: (X
P
, Y
P
)
Formula: X
P
=
Y
P
=
X
2
+
Y
2
X
2
+
Y
2
Y
X
Y
X
R
100
\
(
i
1
) – (
i
2
)
\
R
100
\
(
i
1
) – (
i
2
)
\
l
800
\
(
i
1
) – (
i
2
)
\
l
800
\
(
i
1
) – (
i
2
)
\
200
l
\
(
i
1
) – (
i
2
)
\
x
2
200
l
\
(
i
1
) – (
i
2
)
\
x
2
X
A
cot +
X
B
cot + (
Y
B
–
Y
A
)
cot + cot
X
A
cot +
X
B
cot + (
Y
B
–
Y
A
)
cot + cot
Y
A
cot +
Y
B
cot + (
X
A
–
X
B
)
cot + cot
Y
A
cot +
Y
B
cot + (
X
A
–
X
B
)
cot + cot