Casio fx-FD10 Pro, User Manual

Page: 218 / 222

α
-14
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 = 2 R
Ƹ
sin
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
A B
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