Casio fx-FD10 Pro User Manual page 218

Program name: S-CURVE
Function: Single Curve
IP
TL I
CL
SL
M
EC
BC
C
R
I, R, l
Input:
Output (and Function):
TL = R tan
l l 180° 180°
δ =
2R 2R
CL = R I
C = 2R sin
sec
SL = R
1 – cos
M = R
Program name: CL-CURVE
Function: Clothoid Curve
Y
L
S
0
T
L
R :
Input: Curve radius
A :
Parameter
L, τ , (X, Y), (X
Output:
Formula:
2 2
A A
L =
R R
L L
τ =
2R 2R
A A cos d cos d
X =
0 0
2 2
A A sin sin
Y =
0 0
2 2
l
BC
I
2
180° 180°
I
2
I
– 1
2
I
2
(X , Y )
M
M M
R
(X, Y)
T
K
X
, S, δ
, Y ), T , T
M M L K
d d
= X – R sin τ
X
M
= Y + R cos τ
Y
M
= Y cosec τ
T
K
= X – Y cot τ
T
L
S =
X X
δ = tan
Program name: V-CURVE
Function: Vertical Curve
R
i , i , R, x
Input:
1 2
Output (and Function):
R R
l =
100 100
(i (i
M =
(i (i
1 1
y =
Program name: FORWARD
Function: Forward Intersection
X
A
(X , Y )
A A
(X , Y
Input:
A A
However, you need to input a value
in the following range:
(X , Y
Output:
P P
X X
X =
Formula:
P
Y Y
Y =
P
α
-14
2 2 2 2
+ Y + Y
Y Y
–1
X X
i
i
1
M
y
2
x
l 2
l
(i (i ) – (i ) – (i ) )
1 1 2 2
) – (i ) – (i ) )
1 1 2 2
l l
800 800
) – (i ) – (i ) x ) x 2 2
2 2
200l 200l
P (X
, Y )
P P
B
(X , Y )
B B
), α , (X ), β
, Y
B B
0° < γ < 180°
)
cot + X cot + X cot cot + (Y + (Y
A A B B
cot cot + cot + cot
cot + Y cot + Y cot cot + (X + (X
A A B B
cot cot + cot + cot
– Y – Y ) )
B B A A
– X – X ) )
A A B B