4 Bar Linkage Calculator v3.0 = Mess with these cells
Vehicle Specifications: Suspension Geometry: Geometry Summary:
Wheelbase 108.5 in Upper Links x y z Static Anti-Squat 95 % Travel Anti-Squat: 95%
Tire Diameter 39.50 in Frame End 32.00 13.00 32.00 in Roll Center Height 27 in Travel Roll Center: 27.47 Created 2004.12.04
Tire Rolling Radius 19.75 in Axle End 0.00 2.00 28.00 in Roll Axis Angle 2 degrees (Roll Oversteer) Travel Roll Axis: 1.95° by
Vehicle CG Height 34.00 in Lower Links x y z Instant Center X-Axis 141 in Pinion Change: 0.00° Dan Barcroft
Vehicle Mass 4,200 lb Frame End 47.00 3.00 28.00 in Instant Center Z-Axis 46 in Travel Amount: 0.00 triaged@gmail.com
Front Unsprung Mass 800 lb Axle End 3.00 22.00 19.75 in Travel Increment: 1.00
Rear Unsprung Mass 700 lb Bump Droop
Travel
Lower Links
Upper Links
-20.000 0.000 20.000 40.000 60.000 80.000 100.000
Anti-Squat Line
Anti-Squat CG
100% AS Line
Roll Axis
Roll Center
Instant Center
-20.00 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00
4 Bar Linkage Calculator v3.0 = Reference
Vehicle CG 34.00
Sprung Mass CG 41.92 in
Anti-Squat CG 36.85 in
Suspension Geometry:
Upper Links x y z
Frame End 32.000 13.000 32.000 in
Axle End 0.000 2.000 28.000 in
Vector 32.000 11.000 4.000 in
Length 34.073 in
Unit Vector 0.9391 0.3228 0.1174 1.0000
Intercept -5.8182 2.0000 28.0000 in
Roll Point -5.8182 0.0000 27.2727 in
Force 32118.099 lb (Tension)
Force Vector 30163.636 10368.750 3770.455 lb
Vertical Slope 0.3438 in/in
Horizontal Slope 0.1250 in/in
Lower Links x y z
Frame End 47.000 3.000 28.000 in
Axle End 3.000 22.000 19.750 in
Vector 44.000 -19.000 8.250 in
Length 48.632 in
Unit Vector 0.9048 -0.3907 0.1696 1.0000
Intercept 53.9474 23.2955 19.1875 in
Roll Point 53.9474 0.0000 29.3026 in
Force -44248.452 lb (Compression)
Force Vector -40034.043 17287.427 -7506.383 lb
Vertical Slope -0.4318 in/in
Horizontal Slope 0.1875 in/in
Geometry Summary:
Anti-Squat 95.274 %
Roll Axis Slope 0.0340 in/in (Roll Oversteer)
Roll Center Height 27.470 in
Roll Axis Angle 1.945 degrees (Roll Oversteer)
Instant Center X-Axis 141.0 in
Instant Center Z-Axis 45.6 in
4 Bar Linkage Calculator v3.0
Travel Increment: 1.00 in
Travel Amount 0.00 in Travel 0.00 in pinion angle change: 0.00
Static Geometry: Bump Geometry:
Upper Links x y z Upper Links x y z
Frame End 32.000 13.000 32.000 in Frame End 32.000 13.000 32.000 in
Axle End 0.000 2.000 28.000 in Axle End 0.000 2.000 28.000 in
Vector 32.000 11.000 4.000 in Vector 32.000 11.000 4.000 in
Length 34.073 in Length 34.073 in
Separation 8.779 Separation 8.779
Length 0-Length 1 0.000 in
Unit Vector 0.9391 0.3228 0.1174 1.0000 Unit Vector 0.9391 0.3228 0.1174 1.0000
Intercept -5.8182 2.0000 28.0000 in Intercept -5.8182 2.0000 28.0000 in
Roll Point -5.8182 0.0000 27.2727 in Roll Point -5.8182 0.0000 27.2727 in
Vertical Slope 0.3438 in/in Vertical Slope 0.3438 in/in
Horizontal Slope 0.1250 in/in Horizontal Slope 0.1250 in/in
Link Force 5353 lb Link Force 5353 lb
Lower Links x y z Lower Links x y z
Frame End 47.000 3.000 28.000 in Frame End 47.000 3.000 28.000 in
Axle End 3.000 22.000 19.750 in Axle End 3.000 22.000 19.750 in
Vector 44.000 -19.000 8.250 in Vector 44.000 -19.000 8.250 in
Link Length 48.632 in Link Length 48.632 in
Unit Vector 0.9048 -0.3907 0.1696 1.0000 Unit Vector 0.9048 -0.3907 0.1696 1.0000
Intercept 53.947 23.295 19.188 in Intercept 53.947 23.295 19.188 in
Roll Point 53.947 0.000 29.303 in Roll Point 53.947 0.000 29.303 in
Vertical Slope -0.4318 in/in Vertical Slope -0.4318 in/in
Horizontal Slope 0.1875 in/in Horizontal Slope 0.1875 in/in
Geometry Summary: Geometry Summary:
Anti-Squat 95.274 % Anti-Squat 95.274 %
-20.00 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00
Roll Axis Slope 0.0340 in/in (Roll Oversteer) Roll Axis Slope 0.0340 in/in (Roll Oversteer)
Roll Center Height 27.470 in Roll Center Height 27.470 in
Roll Axis Angle 1.945 degrees (Roll Oversteer) Roll Axis Angle 1.945 degrees (Roll Oversteer)
Instant Center X-Axis 141.000 in Instant Center X-Axis 141.000 in Bump Droop
Instant Center Z-Axis 45.625 in Instant Center Z-Axis 45.625 in
Side View Top View
Front Tire Rear Tire IC Trace Upper Infinity 2170 Offset Up 80.00
angle x z x z x z Rear Axle 3.50 Upper Links x 0.00
0 108.50 0.00 0.00 0.00 32.00 32.00 x z x y y'
15 103.39 0.67 5.11 0.67 141.00 45.63 0.00 21.50 32.00 13.00 93.00
30 98.63 2.65 9.88 2.65 IC Trace Lower 0.88 21.27 0.00 2.00 82.00
45 94.53 5.78 13.97 5.78 x z 1.52 20.63 32.00 -13.00 67.00
60 91.40 9.88 17.10 9.88 47.00 28.00 1.75 19.75 0.00 -2.00 78.00
75 89.42 14.64 19.08 14.64 141.00 45.63 1.52 18.88 IC Trace Upper
90 88.75 19.75 19.75 19.75 Anti-Squat Line 0.88 18.23 x y
105 89.42 24.86 19.08 24.86 x z 0.00 18.00 0.00 2.00 82.00
120 91.40 29.63 17.10 29.63 0.00 0.00 -0.88 18.23 -5.82 0.00 80.00
135 94.53 33.72 13.97 33.72 141.00 45.63 -1.52 18.88 -5.82 0.00 80.00
150 98.63 36.85 9.88 36.85 108.50 35.11 -1.75 19.75 0.00 -2.00 78.00
165 103.39 38.83 5.11 38.83 Anti-Squat CG -1.52 20.63 Lower Links
180 108.50 39.50 0.00 39.50 x z -0.88 21.27 x y
195 113.61 38.83 -5.11 38.83 -20.00 36.85 0.00 21.50 47.00 3.00 83.00
210 118.38 36.85 -9.88 36.85 120.00 36.85 3.00 22.00 102.00
225 122.47 33.72 -13.97 33.72 100% AS Line 47.00 -3.00 77.00
240 125.60 29.63 -17.10 29.63 x z 3.00 -22.00 58.00
255 127.58 24.86 -19.08 24.86 0.00 0.00 IC Trace Lower
270 128.25 19.75 -19.75 19.75 108.50 36.85 x y
285 127.58 14.64 -19.08 14.64 Roll Axis 47.00 3.00 83.00
300 125.60 9.88 -17.10 9.88 x z 53.95 0.00 80.00
315 122.47 5.78 -13.97 5.78 -5.82 27.27 53.95 0.00 80.00
330 118.38 2.65 -9.88 2.65 0.00 27.47 47.00 -3.00 77.00
345 113.61 0.67 -5.11 0.67 53.95 29.30
360 108.50 0.00 0.00 0.00
X Y
A 3.000 19.75
B 47 28.00
C 0 28.00 cross length: 31.48
D 32 32.00
-20 90.67 angle 1: 12.28 pinion line
L1 45 angle 2: 87.08 3.00 19.75
L2 32 total angle: 99.36 0.00 28.00
L3 9 -20.00 83.00
L4 16 x-vector 44.00
y-vector 8.25
Travel: horizontal x 44.00
A1 3.000 19.75 vertical x 0.00
B1 47 28.00
C1 0.00 28.00 angle from horizontal: 10.62
D1 32 32.00 angle of pinion line: 109.98
angle2: 70.02
static pinion line: 70.02
4 Bar Linkage Calculator v3.0
Acceleration 6.00 g
Material Selection:
Upper Links Lower Links
Outside Diameter 1.500 in Outside Diameter 1.750 in
Wall Thickness 0.188 in Wall Thickness 0.250 in
Material Used Alum 2024-T6 Material Used Steel 4130T
Rod End Rated Load 55,000 lb Rod End Rated Load 55,000 lb
Modulus of Elasticity 10,500,000 psi Modulus of Elasticity 29,700,000 psi
Yield Strength 50,000 psi Yield Strength 110,000 psi
Density 0.1000 lbm/in^3 Density 0.2840 lbm/in^3
Moment of Inertia 0.170 in^4 Moment of Inertia 0.341 in^4
Area 0.775 in^2 Area 1.178 in^2
Pyield 38,745 lb Pyield 129,591 lb
Pbuckling 15,188 lb Pbuckling 42,207 lb
Pbending 1,332 lb Pbending 3,521 lb
Link Length 34.0735 in Link Length 48.6319 in
Link Weight 2.64 lb Link Weight 16.27 lb
Link Force 32,118 lb (Tension) Link Force -44,248 lb (Compression)
F.S. Yield 1.21 (link stretching) F.S. Yield 2.93 (link compressing)
F.S. Buckling 0.47 (link buckling under braking) F.S. Buckling 0.95 (link buckling under acceleration)
F.S. Bending 0.63 (somewhat irrelevant for an UPPER link) F.S. Bending 1.68 (link bending w/ 1/2 the vehicle weight on it)
F.S. Rod End 1.71 (rod end breaking) F.S. Rod End 1.24 (rod end breaking)
Material Specifications:
Created 2004.12.04
Elastic Modulus Yield Density by
(psi) Strength (Lbs/in^3) Dan Barcroft
Alum 2024-T6 10,500,000 50,000 0.1000 triaged@gmail.com
Alum 6061-T6 10,000,000 39,900 0.0975
Alum 7075-T6 10,400,000 73,200 0.1020
Steel 1018 29,000,000 50,000 0.2840 Cold Drawn
Steel 4130N 29,700,000 63,100 0.2840 Normalized
Steel 4130T 29,700,000 110,000 0.2840 Water Quenched and Tempered
Steel 4340N 29,700,000 114,000 0.2840 Normalized
Steel 4340T 29,700,000 160,000 0.2840 Oil Quenched & Tempered
Titanium 6Al-4V 16,500,000 128,000 0.1600 6% Aluminum, 4% Vanadium
Note: All materials must be in alphabetical order. Highlight blue area then sort ascending
4 Bar Linkage Calculator v3.0
Created 2004.12.04
by
Dan Barcroft
triaged@gmail.com
4 Bar Linkage Calculator v3.0
Side View Top View
Front Tire Rear Tire IC Trace Upper Infinity 2170 Offset Up
angle x z x z x z Rear Axle 4.00 Upper Links
0 108.50 0.00 0.00 0.00 32.00 32.00 x z x
15 103.39 0.67 5.11 0.67 141.00 45.63 0.00 21.75 32.00
30 98.63 2.65 9.88 2.65 IC Trace Lower 1.00 21.48 0.00
45 94.53 5.78 13.97 5.78 x z 1.73 20.75 32.00
60 91.40 9.88 17.10 9.88 47.00 28.00 2.00 19.75 0.00
75 89.42 14.64 19.08 14.64 141.00 45.63 1.73 18.75 IC Trace Upper
90 88.75 19.75 19.75 19.75 Anti-Squat Line 1.00 18.02 x
105 89.42 24.86 19.08 24.86 x z 0.00 17.75 0.00
120 91.40 29.63 17.10 29.63 0.00 0.00 -1.00 18.02 -5.82
135 94.53 33.72 13.97 33.72 141.00 45.63 -1.73 18.75 -5.82
150 98.63 36.85 9.88 36.85 108.50 35.11 -2.00 19.75 0.00
165 103.39 38.83 5.11 38.83 Anti-Squat CG -1.73 20.75 Lower Links
180 108.50 39.50 0.00 39.50 x z -1.00 21.48 x
195 113.61 38.83 -5.11 38.83 -20.00 36.85 0.00 21.75 47.00
210 118.38 36.85 -9.88 36.85 120.00 36.85 3.00
225 122.47 33.72 -13.97 33.72 100% AS Line 47.00
240 125.60 29.63 -17.10 29.63 x z 3.00
255 127.58 24.86 -19.08 24.86 0.00 0.00 IC Trace Lower
270 128.25 19.75 -19.75 19.75 108.50 36.85 x
285 127.58 14.64 -19.08 14.64 Roll Axis 47.00
300 125.60 9.88 -17.10 9.88 x z 53.95
315 122.47 5.78 -13.97 5.78 -5.82 27.27 53.95
330 118.38 2.65 -9.88 2.65 0.00 27.47 47.00
345 113.61 0.67 -5.11 0.67 53.95 29.30
360 108.50 0.00 0.00 0.00
Lower Links Upper Links Anti-Squat Line Anti-Squat CG
-20.00 0.00 20.00 40.00 60.00
Created 2004.12.04
80.00 by
Upper Links Dan Barcroft
y y' triaged@gmail.com
13.00 93.00
2.00 82.00
-13.00 67.00
-2.00 78.00
IC Trace Upper
y
2.00 82.00
0.00 80.00
0.00 80.00
-2.00 78.00
Lower Links
y
3.00 83.00
22.00 102.00
-3.00 77.00
-22.00 58.00
IC Trace Lower
y
3.00 83.00
0.00 80.00
0.00 80.00
-3.00 77.00
Squat CG 100% AS Line Roll Center Instant Center Roll Axis
60.00 80.00 100.00 120.00 140.00
140.00
4 Bar Linkage Calculator v3.0
Revision Control History
Version Changes / Enhancements
1.5 Corrections to the roll center calculation.
Additional "unit" descriptors added.
Added Coordinate System Diagram Sheet
2.0 Added Graphical Display
Flipped Coordinate System Drawing to Match Graphical Display
Fixed Typos in comments
Moved Cells and Removed Blank Lines
Fixed Units in Material Specs
3.0 Added Bump/Droop travel calculation sheet w/ macro
Rearranged to make it less cluttered and more user friendly
Added Calculation of Sprung Mass CG & Anti-Squat CG (CG - rear axle)
Changed all calculations that used CG to Anti-Squat CG
Fixed Errors When Bars are Parallel
Added Automatic Display of Roll Understeer/Oversteer
Saved as Excel 5.0/97 File
3.0c Added driveshaft angle and plung calculations (not completed!)
Fixed Anti-Squat CG Height Calculation
3.1 Changed travel calculations to not require solver add-in
Added travel chart to front page
Added travel specs to front page
Created 2004.12.04
by
Dan Barcroft
triaged@gmail.com
Date
2003.12.05
2004.01.07
2004.12.04
2005.04.01
2007.05.08
Revision by Chris Macock (Vetteboy79)
Created 2004.12.04
by
Dan Barcroft
triaged@gmail.com