Angle measurement

**UKCMM** · 06-10-2020, 03:32 AM

If you are worried about the length of cone being to short to measure you could try construction an offset tangent line between the two radius then create a generic line at height 6.5, intersect that with the offset line to get a point. Repeat 3 times minimum around the part then construct a circle from the points.

**Vladimir** · 06-10-2020, 07:47 PM

I hope you mean this radius?
I tried to implement what you said, the results are similar to the truth, but it still seems to me that I did not fully understand and made a mistake.
43.jpg

Code:

A2 =ALIGNMENT/START,RECALL:A1,LIST=YES
ALIGNMENT/LEVEL,ZPLUS,PLN1
ALIGNMENT/TRANS,ZAXIS,PLN1
ALIGNMENT/ROTATE_CIRCLE,YPLUS,TO,CIR1,AND,PNT1,ABOUT,ZPLUS
ALIGNMENT/TRANS,XAXIS,CIR1
ALIGNMENT/TRANS,YAXIS,CIR1
ALIGNMENT/END
WORKPLANE/YPLUS
CIR2 =FEAT/CIRCLE,CARTESIAN,OUT,LEAST_SQR
THEO/<121.066,4.604,-3.476>,<0,1,0>,6.693,0
ACTL/<120.552,4.604,-3.79>,<0,1,0>,7.903,0
MEAS/CIRCLE,3,YPLUS
MOVE/CLEARPLANE
HIT/BASIC,NORMAL,<124.167,4.582,-2.218>,<0.9267021,0,0.3757968>,<124.184,4.581,-2.233>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<123.402,4.603,-1.08>,<0.6982608,0,0.7158435>,<123.397,4.602,-1.047>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<122.309,4.628,-0.369>,<0.3715293,0,0.9284212>,<122.281,4.629,-0.237>,USE THEO=YES
ENDMEAS/
CIR3 =FEAT/CIRCLE,CARTESIAN,OUT,LEAST_SQR
THEO/<-120.821,4.63,-3.825>,<0,1,0>,6.812,0
ACTL/<-121.059,4.629,-3.382>,<0,1,0>,6.408,0
MEAS/CIRCLE,3,YPLUS
MOVE/CLEARPLANE
HIT/BASIC,NORMAL,<-123.925,4.642,-2.424>,<-0.9113815,0,0.4115627>,<-124.067,4.642,-2.28>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<-123.102,4.635,-1.297>,<-0.6699215,0,0.7424319>,<-123.271,4.635,-1.064>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<-121.131,4.611,-0.434>,<-0.0910899,0,0.9958427>,<-121.201,4.611,-0.182>,USE THEO=YES
ENDMEAS/
LIN1 =FEAT/LINE,CARTESIAN,UNBOUNDED,NO
THEO/<121.066,4.617,-3.476>,<-0.999999,0,-0.001446>
ACTL/<120.552,4.617,-3.79>,<-0.9999986,0,0.0016881>
CONSTR/LINE,OFFSET
SURFACE NORMAL = <0,1,0>,MULTI POINT
ID = CIR2,CIR3,,
OFFSET = 0,0
F1 =GENERIC/LINE,DEPENDENT,CARTESIAN,$
NOM/XYZ,<CIR3.X,CIR3.Y,-6.5>,$
MEAS/XYZ,<CIR3.X,CIR3.Y,-6.761>,$
NOM/IJK,<-0.002,0.0049999,0.9999855>,$
MEAS/IJK,<-0.002,0.0049999,0.9999855>,$
DISTANCE/0,0
PNT2 =FEAT/POINT,CARTESIAN,NO
THEO/<-120.826,4.63,-3.826>,<-0.999999,0,-0.001446>
ACTL/<-121.066,4.631,-3.382>,<-0.9999986,0,0.0016881>
CONSTR/POINT,INT,LIN1,F1
WORKPLANE/ZPLUS
CIR4 =FEAT/CIRCLE,CARTESIAN,OUT,LEAST_SQR
THEO/<-64.52,102.544,-3.476>,<-0.8660254,-0.5,0>,6.693,0
ACTL/<-61.901,104.293,-2.672>,<0,1,0>,7.048,0
MEAS/CIRCLE,3,YPLUS
MOVE/CLEARPLANE
HIT/BASIC,NORMAL,<-66.051,105.241,-2.218>,<-0.4633511,0.8025476,0.3757968>,<-65.382,105.782,-2.121>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<-65.688,104.568,-1.08>,<-0.3491304,0.6047116,0.7158435>,<-65.034,104.976,-1.059>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<-65.162,103.609,-0.369>,<-0.1857646,0.3217538,0.9284212>,<-64.551,103.842,-0.348>,USE THEO=YES
ENDMEAS/
CIR5 =FEAT/CIRCLE,CARTESIAN,OUT,LEAST_SQR
THEO/<56.401,-106.949,-3.825>,<-0.8660254,-0.5,0>,6.812,0
ACTL/<55.433,-108.727,-1.988>,<0,1,0>,4.131,0
MEAS/CIRCLE,3,YPLUS
MOVE/CLEARPLANE
HIT/BASIC,NORMAL,<57.942,-109.643,-2.424>,<0.4556907,-0.7892795,0.4115627>,<57.498,-110.608,-1.946>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<57.537,-108.927,-1.297>,<0.3349608,-0.5801691,0.7424319>,<57.156,-109.705,-0.848>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<56.572,-107.208,-0.434>,<0.0455449,-0.0788862,0.9958427>,<56.241,-107.309,-0.087>,USE THEO=YES
ENDMEAS/
LIN2 =FEAT/LINE,CARTESIAN,UNBOUNDED,NO
THEO/<-64.531,102.538,-3.476>,<0.4999995,-0.8660245,-0.001446>
ACTL/<-64.021,103.07,-2.672>,<0.499998,-0.866022,0.0028128>
CONSTR/LINE,OFFSET
SURFACE NORMAL = <-0.8660254,-0.5,0>,MULTI POINT
ID = CIR4,CIR5,,
OFFSET = 0,0
LIN3 =GENERIC/LINE,DEPENDENT,CARTESIAN,$
NOM/XYZ,<CIR5.X,CIR5.Y,-6.5>,$
MEAS/XYZ,<CIR5.X,CIR5.Y,-7.73>,$
NOM/IJK,<-0.0033301,-0.004232,0.9999855>,$
MEAS/IJK,<-0.0033301,-0.004232,0.9999855>,$
DISTANCE/0,0
PNT3 =FEAT/POINT,CARTESIAN,NO
THEO/<56.403,-106.953,-3.826>,<0.4999995,-0.8660245,-0.001446>
ACTL/<56.486,-108.132,-1.994>,<0.499998,-0.866022,0.0028128>
CONSTR/POINT,INT,LIN2,LIN3
CIR6 =FEAT/CIRCLE,CARTESIAN,OUT,LEAST_SQR
THEO/<-56.545,-107.148,-3.476>,<0.8660254,-0.5,0>,6.693,0
ACTL/<-54.339,-108.979,-2.609>,<0,1,0>,6.446,0
MEAS/CIRCLE,3,YPLUS
MOVE/CLEARPLANE
HIT/BASIC,NORMAL,<-58.115,-109.823,-2.218>,<-0.4633511,-0.8025476,0.3757968>,<-57.517,-110.495,-2.073>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<-57.714,-109.171,-1.08>,<-0.3491304,-0.6047116,0.7158435>,<-57.132,-109.66,-1.001>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<-57.147,-108.237,-0.369>,<-0.1857646,-0.3217538,0.9284212>,<-56.601,-108.503,-0.313>,USE THEO=YES
ENDMEAS/
CIR7 =FEAT/CIRCLE,CARTESIAN,OUT,LEAST_SQR
THEO/<64.42,102.319,-3.825>,<0.8660254,-0.5,0>,6.812,0
ACTL/<63.044,104.067,-2.212>,<0,1,0>,4.956,0
MEAS/CIRCLE,3,YPLUS
MOVE/CLEARPLANE
HIT/BASIC,NORMAL,<65.983,105.001,-2.424>,<0.4556907,0.7892795,0.4115627>,<65.515,105 .917,-2.024>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<65.565,104.292,-1.297>,<0.3349608,0.5801691,0.7424319>,<65.143,105 .024,-0.894>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<64.559,102.597,-0.434>,<0.0455449,0.0788862,0.9958427>,<64.167,102 .701,-0.003>,USE THEO=YES
ENDMEAS/
LIN4 =FEAT/LINE,CARTESIAN,UNBOUNDED,NO
THEO/<-56.534,-107.155,-3.476>,<0.4999995,0.8660245,-0.001446>
ACTL/<-56.446,-107.763,-2.609>,<0.4999993,0.8660242,0.0016339>
CONSTR/LINE,OFFSET
SURFACE NORMAL = <0.8660254,-0.5,0>,MULTI POINT
ID = CIR6,CIR7,,
OFFSET = 0,0
LIN5 =GENERIC/LINE,DEPENDENT,CARTESIAN,$
NOM/XYZ,<CIR7.X,CIR7.Y,-6.5>,$
MEAS/XYZ,<CIR7.X,CIR7.Y,-2.466>,$
NOM/IJK,<0.00533,-0.0007679,0.9999855>,$
MEAS/IJK,<0.00533,-0.0007679,0.9999855>,$
DISTANCE/0,0
PNT4 =FEAT/POINT,CARTESIAN,NO
THEO/<64.423,102.324,-3.826>,<0.4999995,0.8660245,-0.001446>
ACTL/<64.099,103.459,-2.206>,<0.4999993,0.8660242,0.0016339>
CONSTR/POINT,INT,LIN4,LIN5
CIR_SMALL =FEAT/CIRCLE,CARTESIAN,IN,LEAST_SQR,NO
THEO/<0,0,-3.826>,<0,0,1>,241.83
ACTL/<0.46,-0.184,-2.527>,<0,0,1>,243.243
CONSTR/CIRCLE,BF,2D,PNT2,PNT3,PNT4,,
OUTLIER_REMOVAL/OFF,3
FILTER/OFF,UPR=0
CIR_BIG =FEAT/CIRCLE,CARTESIAN,OUT,LEAST_SQR
THEO/<0.042,0.032,-4.8>,<0,0,1>,249.185,0
ACTL/<0.097,-0.054,-4.801>,<0,0,1>,249.163,0
MEAS/CIRCLE,6,ZPLUS
MOVE/CLEARPLANE
HIT/BASIC,NORMAL,<124.635,0.032,-4.8>,<1,0,0>,<124.642,0.029,-4.801>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<62.339,107.932,-4.8>,<0.5,0.8660254,0>,<62.335,107.931,-4.801>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<-62.254,107.932,-4.8>,<-0.5,0.8660254,0>,<-62.16,107.763,-4.801>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<-124.55,0.032,-4.8>,<-1,0,0>,<-124.57,0.028,-4.801>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<-62.254,-107.869,-4.8>,<-0.5,-0.8660254,0>,<-62.235,-107.844,-4.8>,USE THEO=YES
MOVE/CIRCULAR
HIT/BASIC,NORMAL,<62.339,-107.869,-4.8>,<0.5,-0.8660254,0>,<62.404,-107.983,-4.801>,USE THEO=YES
ENDMEAS/
ASSIGN/V1=(CIR_BIG.DIAM-CIR_SMALL.DIAM)/4.80
F2 =GENERIC/CIRCLE,DEPENDENT,CARTESIAN,OUT,$
NOM/XYZ,<0,0,0>,$
MEAS/XYZ,<0,0,0>,$
NOM/IJK,<-0.002,0.0049999,0.9999855>,$
MEAS/IJK,<-0.002,0.0049999,0.9999855>,$
DIAMETER/1.5,V1
DIM LOC1= LOCATION OF CIRCLE F2 UNITS=MM ,$
GRAPH=OFF TEXT=OFF MULT=10.00 OUTPUT=BOTH HALF ANGLE=NO
AX NOMINAL +TOL -TOL MEAS DEV OUTTOL
D 1.500 0.500 0.500 1.233 -0.267 0.000 --#------
END OF DIMENSION LOC1

P.S. my high 4.8 in this case, according to drawing, and i don't have a CAD model

**SingularitY** · 06-10-2020, 08:09 PM

For the diameter, have you tried a section scan at the basic depth? Section scans are good for this because it doesn't follow the vector of the cone and should stay at the basic depth.
The angle is tricky. I would think a tangent line from 2 radii as described below would be the only way judging off how much land you have available. Make sure you are in the correct workplane, probe 2 radii, 2d tangent line from both, and dimension the angle.

**UKCMM** · 06-11-2020, 04:33 AM

From your sketch it looked as if there were radius at the top and bottom of the cone that could be used to construct the 1.5 degree tangent line see my sketch.

If the internal radius is to small to measure then can you not just measure the cone surface then construct a circle from the cone at the 6.5 height.

Also I am not understanding why the circle centres you have measured are way off in the X,Y axis at least one axis should be zero

Attached Files

BLEND RADS.pdf (79.2 KB, 12 views)

Angle measurement

Angle measurement

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