HP Prime &
TI-84+: Bolt Pattern
 |
| Bolt Pattern |
The program
BOLTPAT will calculate a bolt pattern given:
X = center, X
coordinate
Y = center, Y coordinate
N = number of
bolts
D = diameter of
the circle
No angle of
rotation is assumed.
Coordinates of
each bolt can be calculated by:
X_k = (d/2*COS(360*k/n)+xc)
Y_k =
(d/2*SIN(360*k/n)+yc)
Where k = 0 to
n-1
The OC-Distance
between each bolt is calculated by calculating the linear distance between
neighboring bolts.
Output:
Each point
where the bolt should be placed. In
addition, the on-center distance between bolts is displayed. Finally, each of the coordinates will be
presented in a list. For the TI-84+
version, the list will be stored in list L6.
HP Prime: BOLTPAT
EXPORT BOLTPAT()
BEGIN
// EWS 2012-02-28
// No pre angle tilt
// Degrees
HAngle:=1;
// Data
LOCAL z0,z1,xc,yc;
LOCAL
z,n,d,k,l,xp,yp;
INPUT({xc,yc,n,d},"Bolt
Spacing",
{"xc:","yc:","n
:","d :"},
{"x
center","y center",
"number of
bolts",
"diameter"});
l:={};
// Calculation
PRINT();
PRINT("x +
y*i");
FOR k FROM 0 TO n-1
DO
xp:=(d/2*COS(360*k/n)+xc);
yp:=(d/2*SIN(360*k/n)+yc);
IF k==0 THEN
z0:=xp+i*yp;
END;
IF k==1 THEN
z1:=xp+i*yp;
END;
l:=CONCAT(l,{xp+yp*i});
PRINT("("+xp+","+yp+")");
END;
PRINT("OC-OC:
"+ABS(z1-z0));
RETURN l;
END;
TI-84+: BOLTPAT
a+bi
Degree
Disp “X: X CENTER”
Disp “Y: Y CENTER”
Disp “N: NO. BOLTS”
Disp “D: DIAMETER”
Prompt X,Y,N,D
For(K,0,N-1)
D/2*cos(360*K/N)+X→S
D/2*sin(360*K/N)+Y→T
If K=0
Then
S+T*i→U
{U}→L6
End
If K>0
Then
Augment(L6,{S+T*i})→L6
End
If K=1
Then
S+T*i→V
End
Disp “POINT”,K
Disp S
Disp T
Pause
End
Disp “OC-OC:”
Pause abs(U-V)
Disp L6
Example:
Build a bolt
pattern with 5 bolts of a circle of diameter of 3 units. The center of the circle has the center (4, 1). (X = 4, Y = 1, N = 5, D = 3)
Bolts should be
placed at the following points:
(5.5, 1)
(4.4635,
2.4266)
(2.7865,
1.8817)
(2.7865,
0.1183)
(4.4635,
-0.4266)
OC-Distance: 1.7634
Note: Bolt Patterns can easily be calculated with
the Machinist Calc Pro, original (Model 4087) or Pro 2 (Model 4088) (including
angle of rotation).
This blog is property
of Edward Shore – 2015.
