turn analysis with macros

7/27/2019 Turn Analysis With Macros

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8/20/2013

Project Name:Consignment:

Transporter Min. Width (m)

Enter Input Data Meter 7.411 Possibility of Turn ?

Length of Trailer 9.7536 YES

Width of Trailer 3.9624 YES

1st Width of (intersecting) Road8 YES

2nd Width of (intersecting) Road7 NO

The 7M Wide Road along X intersects the 8M WideRoad along Y OUTSIDE the ASTROID

The 7M Wide Road along X intersects the 7M WideRoad along Y INSIDE the ASTROID

Conclusions:Method of Intersection of Roads, by Width:



165841090.xls.ms_officePS MAJUMDAR USER SCREEN Page 1 of 12


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4 1

3 2Road 8Widths 7

Length (L) 9.7536Breadth (B) 3.9624

X Y X Ydegree radians Lcos(theta) 0 Lcos(theta)-Bsin(theta) -Bcos(theta)

0 0.000 9.754 0.000 9.754 -3.9625 0.087 9.716 0.000 9.371 -3.947

10 0.175 9.605 0.000 8.917 -3.90215 0.262 9.421 0.000 8.396 -3.82720 0.349 9.165 0.000 7.810 -3.723

25 0.436 8.840 0.000 7.165 -3.59130 0.524 8.447 0.000 6.466 -3.43235 0.611 7.990 0.000 5.717 -3.24640 0.698 7.472 0.000 4.925 -3.03545 0.785 6.897 0.000 4.095 -2.80250 0.873 6.269 0.000 3.234 -2.54755 0.960 5.594 0.000 2.349 -2.27360 1.047 4.877 0.000 1.445 -1.98165 1.134 4.122 0.000 0.531 -1.675

70 1.222 3.336 0.000 -0.388 -1.35575 1.309 2.524 0.000 -1.303 -1.02680 1.396 1.694 0.000 -2.209 -0.68885 1.484 0.850 0.000 -3.097 -0.34590 1.571 0.000 0.000 -3.962 0.000

The nominal width of 2 roads of equal width (intersectin

For Trailer Please note that values ARE

thetapoint 1 point 2

theta x 3

2


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4 1 9.4212541 2 0

4 3 8.3957096 4 -3.827384494

4 5 -1.0255446 6 -1.302967056

4 7 0 8 2.5244174384 1 9.4212541 2 05 1 9.1653859 2 05 3 7.8101653 4 -3.7234380415 5 -1.3552206 6 -0.3875103715 7 0 8 3.335927675 1 9.1653859 2 06 1 8.8397636 2 06 3 7.165181 4 -3.5911539756 5 -1.6745826 6 0.5308955026 7 0 8 4.1220494786 1 8.8397636 2 07 1 8.4468654 2 07 3 6.4656654 4 -3.431539067 5 -1.9812 6 1.445260947 7 0 8 4.87687 1 8.4468654 2 08 1 7.9896814 2 08 3 5.7169421 4 -3.245808068 5 -2.2727393 6 2.348627069

8 7 0 8 5.594435138 1 7.9896814 2 09 1 7.4716911 2 09 3 4.9247095 4 -3.0353745019 5 -2.5469816 6 3.2341187289 7 0 8 6.269493239 1 7.4716911 2 0


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13 5 -3.4315391 6 6.46566537813 7 0 8 8.446865378

13 1 4.8768 2 014 1 4.1220495 2 014 3 0.5308955 4 -1.674582614 5 -3.591154 6 7.16518103114 7 0 8 8.83976363214 1 4.1220495 2 015 1 3.3359277 2 015 3 -0.3875104 4 -1.35522061615 5 -3.723438 6 7.81016533

15 7 0 8 9.16538594615 1 3.3359277 2 016 1 2.5244174 2 016 3 -1.3029671 4 -1.02554458416 5 -3.8273845 6 8.39570955516 7 0 8 9.42125413916 1 2.5244174 2 017 1 1.6936949 2 017 3 -2.2085074 4 -0.68806353917 5 -3.9022022 6 8.91735736117 7 0 8 9.605420917 1 1.6936949 2 018 1 0.8500823 2 018 3 -3.0972396 4 -0.34534591518 5 -3.9473219 6 9.37113869218 7 0 8 9.71648460718 1 0.8500823 2 019 1 5.975E-16 2 019 3 -3.9624 4 -2.42726E-1619 5 -3.9624 6 9.753619 7 0 8 9.753619 1 5.975E-16 2 0


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YES

YES

YES

NOThe 7M Wide Road along X intersects the 7M Wide Roadalong Y INSIDE the ASTROID

The 8M Wide Road along X intersects the 8M Wide Roadalong Y OUTSIDE the ASTRIOD

The 8M Wide Road along X intersects the 7M Wide Roadalong Y OUTSIDE the ASTRIODThe 7M Wide Road along X intersects the 8M Wide Roadalong Y OUTSIDE the ASTRIOD


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Guess X Numerical X dy/dx d 2y/dx 2

0.0000 9.754 9.754 0.0000 #DIV/0!-0.0875 9.716 9.643 -0.0875 0.3981-0.1763 9.605 9.316 -0.1763 0.2092-0.2679 9.421 8.790 -0.2679 0.1517-0.3640 9.165 8.093 -0.3640 0.1282-0.4663 8.840 7.261 -0.4663 0.1199-0.5774 8.447 6.335 -0.5774 0.1215-0.7002 7.990 5.361 -0.7002 0.1323-0.8391 7.472 4.385 -0.8391 0.1544-1.0000 6.897 3.448 -1.0000 0.1933-1.1918 6.269 2.590 -1.1918 0.2613-1.4281 5.594 1.841 -1.4281 0.3855-1.7321 4.877 1.219 -1.7321 0.6314-2.1445 4.122 0.736 -2.1445 1.1821

-2.7475 3.336 0.390 -2.7475 2.6578-3.7321 2.524 0.169 -3.7320 7.8847-5.6713 1.694 0.051 -5.6713 38.1664

-11.4301 0.850 0.006 -11.4301 594.5462-16324552277619100.0000 0.000 0.000 -260568.0944 157542869581495000000.0000

above dimensions. For roads of non-equal width, the dimensions should be on

endent on the Goal

-TAN (theta)

2

1

3

2

3

2

3

4

2

2

xa x

dxd y


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Radius of Curvature X Y along X axis along Y axis

#DIV/0! 9.754 0.000 3.9622.5406 9.643 0.006 3.9695.0039 9.316 0.051 4.0137.3152 8.790 0.169 4.1329.4042 8.093 0.390 4.353

11.2075 7.261 0.736 4.69912.6703 6.335 1.219 5.18213.7481 5.361 1.841 5.80314.4081 4.385 2.590 6.55314.6304 3.448 3.448 7.411 7.41114.4081 2.590 4.385 6.55313.7481 1.841 5.361 5.80312.6703 1.219 6.335 5.18211.2075 0.736 7.261 4.699

9.4042 0.390 8.093 4.3537.3152 0.169 8.790 4.1325.0039 0.051 9.316 4.0132.5405 0.006 9.643 3.9690.0001 0.000 9.754 3.962

Point on Astroid Width of Road

he CONVEX side of the ASTROID.

3

2

1

3

2

3

2

3

2

xa x

dxd y

dxdy

R

2

2

2

3

2

1


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-6.0

-4.0

-2.0

0.0

2.0

4.0

6.0

8.0

10.0

12.0

-5.0 0.0 5.0 10.0 15.0

L o c a t i o n o

f P o

i n t s o n

T r a

i l e r

( M )

Location of Points on Trailer (M)

Swept Volume Analysis of Trailer Points on the Astroid

Position of Trailer at 0 degree



















8M Wide Road along X

7M Wide Road along X

8M Wide Road along Y

7M Wide Road along Y

turn analysis with macros

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