4BarLinkV3-1.1c (With Travel Updated)
16
4 Bar Linkage Calculator v3.0 Vehicle Specifications: Suspension Geometry: Geometry Summary: Wheelbase 108.5 in Upper Links x y z Static Anti-Squat 95 % Tire Diameter 39.50 in Frame End 32.00 13.00 32.00 in Roll Center Height 27 in Tire Rolling Radius 19.75 in Axle End 0.00 2.00 28.00 in Roll Axis Angle 2 degrees (Roll Overste Vehicle CG Height 34.00 in Lower Links x y z Instant Center X-Axis 141 in Vehicle Mass 4,200 lb Frame End 47.00 3.00 28.00 in Instant Center Z-Axis 46 in Front Unsprung Mass 800 lb Axle End 3.00 22.00 19.75 in Rear Unsprung Mass 700 lb Trave
-
Upload
tim-adkins -
Category
Documents
-
view
305 -
download
10
Transcript of 4BarLinkV3-1.1c (With Travel Updated)
4 Bar Linkage Calculator v3.0Vehicle Specifications: Suspension Geometry: Geometry Summary:
Wheelbase 108.5 in Upper Links x y z Static Anti-Squat 95 %Tire Diameter 39.50 in Frame End 32.00 13.00 32.00 in Roll Center Height 27 in
Tire Rolling Radius 19.75 in Axle End 0.00 2.00 28.00 in Roll Axis Angle 2 degrees (Roll Oversteer)Vehicle CG Height 34.00 in Lower Links x y z Instant Center X-Axis 141 in
Vehicle Mass 4,200 lb Frame End 47.00 3.00 28.00 in Instant Center Z-Axis 46 inFront Unsprung Mass 800 lb Axle End 3.00 22.00 19.75 inRear Unsprung Mass 700 lb
-20.00 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00
Lower Links
Upper Links
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
Travel
Bump
G4
Forward from rear axle centerline
H4
This is half (1/2) of your upper link horizontal separation at the frame
I4
Height from ground
G5
Forward from rear axle centerline
H5
This is half (1/2) of your upper link horizontal separation at the axle
I5
Height from ground
C6
See VectorCalculations sheet, top left, for Sprung Mass CG & Anti-Squat CG calculations
G7
Forward from rear axle centerline
H7
This is half (1/2) of your lower link horizontal separation at the frame
I7
Height from ground
G8
Forward from rear axle centerline
H8
This is half (1/2) of your lower link horizontal separation at the axle end
I8
Height from ground
4 Bar Linkage Calculator v3.0 = ReferenceVehicle CG 34.00
Sprung Mass CG 41.92 inAnti-Squat CG 36.85 in
Suspension Geometry: Static TravelUpper Links x y z Frame Vector - AB x y z Frame Vector - AB
Frame End 32.000 13.000 32.000 in start point 47.00 3.00 28.00 start pointAxle End 0.000 2.000 28.000 in vector -15.00 10.00 4.00 vector
Vector 32.000 11.000 4.000 inLength 34.073 in Upper Vector - BC x y z Upper Vector - BC
Unit Vector 0.9391 0.3228 0.1174 1.0000 start point 32.00 13.00 32.00 start pointIntercept -5.8182 2.0000 28.0000 in vector -32.00 -11.00 -4.00 vector
Roll Point -5.8182 0.0000 27.2727 inForce 32118.099 lb (Tension) Axle Vector - CD x y z Axle Vector - CD
Force Vector 30163.636 10368.750 3770.455 lb start point 0.00 2.00 28.00 start pointVertical Slope 0.3438 in/in vector 3.00 20.00 20.00 vector
Horizontal Slope 0.1250 in/inLower Links x y z Lower Vector - DA x y z Lower Vector - DA
Frame End 47.000 3.000 28.000 in start point 3.00 22.00 19.75 start pointAxle End 3.000 22.000 19.750 in vector 44.00 -19.00 8.25 vector
Vector 44.000 -19.000 8.250 in
C7
Forward from rear axle centerline
D7
This is half (1/2) of your upper link horizontal separation at the frame
E7
Height from ground
C8
Forward from rear axle centerline
D8
This is half (1/2) of your upper link horizontal separation at the axle
E8
Height from ground
C14
Note: See 'Material' sheet for acceleration inut
C19
Forward from rear axle centerline
D19
This is half (1/2) of your lower link horizontal separation at the frame
E19
Height from ground
C20
Forward from rear axle centerline
D20
This is half (1/2) of your lower link horizontal separation at the axle end
E20
Height from ground
Travel Amount 0.00 in Travel 0.00 in pinion angle change: 0.00Static Geometry: Bump Geometry:
Upper Links x y z Upper Links x y zFrame 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 inVector 32.000 11.000 4.000 in Vector 32.000 11.000 4.000 inLength 34.073 in Length 34.073 in
Separation 8.779 Separation 8.7790.000 in
Unit Vector 0.9391 0.3228 0.1174 1.0000 Unit Vector 0.9391 0.3228 0.1174 1.0000Intercept -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/inHorizontal 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 zFrame 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 inVector 44.000 -19.000 8.250 in Vector 44.000 -19.000 8.250 in
Link Length 48.632 in Link Length 48.632 inUnit 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 inRoll 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/inHorizontal Slope 0.1875 in/in Horizontal Slope 0.1875 in/in
Length0-Length1
-20.00 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00
Bump
Page 4
0.392861991
Bump2
Page 5
0.132170737
4 Bar Linkage Calculator v3.0Acceleration 6.00 g
Material Selection:Upper Links Lower Links
Outside Diameter 1.500 in Outside Diameter 1.750 inWall Thickness 0.188 in Wall Thickness 0.250 in
Material Used Alum 2024-T6 Material Used Steel 4130TRod End Rated Load 55,000 lb Rod End Rated Load 55,000 lbModulus of Elasticity 10,500,000 psi Modulus of Elasticity 29,700,000 psi
Yield Strength 50,000 psi Yield Strength 110,000 psiDensity 0.1000 lbm/in^3 Density 0.2840 lbm/in^3
Moment of Inertia 0.170 in^4 Moment of Inertia 0.341 in^4Area 0.775 in^2 Area 1.178 in^2
Pyield 38,745 lb Pyield 129,591 lbPbuckling 15,188 lb Pbuckling 42,207 lbPbending 1,332 lb Pbending 3,521 lb
Link Length 34.0735 in Link Length 48.6319 inLink 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:
Elastic Modulus Yield Density(psi) Strength (Lbs/in^3)
Alum 2024-T6 10,500,000 50,000 0.1000Alum 6061-T6 10,000,000 39,900 0.0975Alum 7075-T6 10,400,000 73,200 0.1020Steel 1018 29,000,000 50,000 0.2840 Cold DrawnSteel 4130N 29,700,000 63,100 0.2840 NormalizedSteel 4130T 29,700,000 110,000 0.2840 Water Quenched and TemperedSteel 4340N 29,700,000 114,000 0.2840 NormalizedSteel 4340T 29,700,000 160,000 0.2840 Oil Quenched & TemperedTitanium 6Al-4V 16,500,000 128,000 0.1600 6% Aluminum, 4% Vanadium
4 Bar Linkage Calculator v3.0
4 Bar Linkage Calculator v3.0Side View Top View
Front Tire Rear Tire IC Trace Upper Infinity 2170 Offset Upangle x z x z x z Rear Axle 4.00 Upper Links0 108.50 0.00 0.00 0.00 32.00 32.00 x z x15 103.39 0.67 5.11 0.67 141.00 45.63 0.00 21.75 32.0030 98.63 2.65 9.87 2.65 IC Trace Lower 1.00 21.48 0.0045 94.53 5.78 13.97 5.78 x z 1.73 20.75 32.0060 91.40 9.87 17.10 9.87 47.00 28.00 2.00 19.75 0.0075 89.42 14.64 19.08 14.64 141.00 45.63 1.73 18.75 IC Trace Upper90 88.75 19.75 19.75 19.75 Anti-Squat Line 1.00 18.02 x105 89.42 24.86 19.08 24.86 x z 0.00 17.75 0.00120 91.40 29.62 17.10 29.62 0.00 0.00 -1.00 18.02 -5.82135 94.53 33.72 13.97 33.72 141.00 45.63 -1.73 18.75 -5.82150 98.63 36.85 9.87 36.85 108.50 35.11 -2.00 19.75 0.00165 103.39 38.83 5.11 38.83 Anti-Squat CG -1.73 20.75 Lower Links180 108.50 39.50 0.00 39.50 x z -1.00 21.48 x195 113.61 38.83 -5.11 38.83 -20.00 36.85 0.00 21.75 47.00210 118.38 36.85 -9.88 36.85 120.00 36.85 3.00225 122.47 33.72 -13.97 33.72 100% AS Line 47.00240 125.60 29.63 -17.10 29.63 x z 3.00255 127.58 24.86 -19.08 24.86 0.00 0.00 IC Trace Lower270 128.25 19.75 -19.75 19.75 108.50 36.85 x285 127.58 14.64 -19.08 14.64 Roll Axis 47.00300 125.60 9.87 -17.10 9.87 x z 53.95315 122.47 5.78 -13.97 5.78 -5.82 27.27 53.95330 118.38 2.65 -9.88 2.65 0.00 27.47 47.00345 113.61 0.67 -5.11 0.67 53.95 29.30360 108.50 0.00 0.00 0.00
-20.00 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00
Lower Links Upper Links Anti-Squat Line Anti-Squat CG100% AS Line Roll Center Instant Center Roll Axis
-20.00 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00
Lower Links Upper Links Anti-Squat Line Anti-Squat CG100% AS Line Roll Center Instant Center Roll Axis
Created 2004.12.0480.00 by
Upper Links Dan Barcrofty y'13.00 93.002.00 82.00-13.00 67.00-2.00 78.00
IC Trace Uppery2.00 82.000.00 80.000.00 80.00-2.00 78.00
Lower Linksy3.00 83.0022.00 102.00-3.00 77.00-22.00 58.00
IC Trace Lowery3.00 83.000.00 80.000.00 80.00-3.00 77.00
-20.00 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00
Lower Links Upper Links Anti-Squat Line Anti-Squat CG100% AS Line Roll Center Instant Center Roll Axis
-20.00 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00
Lower Links Upper Links Anti-Squat Line Anti-Squat CG100% AS Line Roll Center Instant Center Roll Axis
-20.00 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00
Lower Links Upper Links Anti-Squat Line Anti-Squat CG100% AS Line Roll Center Instant Center Roll Axis
-20.00 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00
Lower Links Upper Links Anti-Squat Line Anti-Squat CG100% AS Line Roll Center Instant Center Roll Axis
4 Bar Linkage Calculator v3.0Revision 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 DisplayFlipped Coordinate System Drawing to Match Graphical DisplayFixed Typos in commentsMoved Cells and Removed Blank LinesFixed Units in Material Specs
3.0 Added Bump/Droop travel calculation sheet w/ macroRearranged to make it less cluttered and more user friendlyAdded Calculation of Sprung Mass CG & Anti-Squat CG (CG - rear axle)Changed all calculations that used CG to Anti-Squat CGFixed Errors When Bars are ParallelAdded Automatic Display of Roll Understeer/OversteerSaved 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-inAdded travel chart to front pageAdded travel specs to front page
Created 2004.12.04
Date
2003.12.05
2004.01.07
2004.12.04
2005.04.01
2007.05.08Revision by Chris Macock (Vetteboy79)
Created 2004.12.04by
![Meritorious Promotion of Enlisted Marines to the Grades of Corporal and Sergeant_1414-1.1c[1]](https://static.fdocuments.in/doc/165x107/557211b2497959fc0b8f5f18/meritorious-promotion-of-enlisted-marines-to-the-grades-of-corporal-and-sergeant1414-11c1.jpg)
