document.xls Bicycle Geometry 101 Version 8.01 July 2008 Instructions Note: This workbook contains macros which cannot be enabled unless security level is set to medium or low. Choose Tools -> Macro -> Security from the top menu bar, then select "medium." Reopen workbook and choose "Enable Macros" when prompted. Above is an embedded Word document containing instructions that describe the use of this workbook. Double-click to open. Martin Manning ([email protected]) Release notes for version 8.01 (July 2008): - Corrected error in toe clearance calculation (~0.1mm) - Corrected front braking surface series name and position calculation for any head tube angle, fork offset, or brake offset. Release notes for version 8.00 (June 2008): -Added Plot Controls Worksheet to save Position Plot and Toe Clearance Plot data from the current design and select reference items to be displayed on plots. - Added Set_Pos_Plot_References macro to save values from current design. - Added reference data sets to Position and Toe Clearance Plots - Added descriptive information to Drive Train Plot - Added buttons to Solver Matrix Worksheet to run Connect and Disconnect Solver Independents macros. - Upper body position lines on Position Plot modified to hold constant torso and arm lengths as reach is changed. - Added overall lengths to Tube Layout Plot. BG101_v800_Instr.doc
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document.xls Bicycle Geometry 101 Version 8.01 July 2008
Instructions
Note: This workbook contains macros which cannotbe enabled unless security level is set to medium or low.Choose Tools -> Macro -> Security from the top menu bar, then select "medium." Reopen workbook and choose "Enable Macros" when prompted.
Above is an embedded Word document containinginstructions that describe the use of this workbook.Double-click to open.
- Corrected error in toe clearance calculation (~0.1mm)
- Corrected front braking surface series name and position calculation for any head tube angle, fork offset, or brake offset.
Release notes for version 8.00 (June 2008):
-Added Plot Controls Worksheet to save Position Plot and Toe Clearance Plot data from the current designand select reference items to be displayed on plots.
- Added Set_Pos_Plot_References macro to save values from current design.
- Added reference data sets to Position and Toe Clearance Plots
- Added descriptive information to Drive Train Plot
- Added buttons to Solver Matrix Worksheet to runConnect and Disconnect Solver Independents macros.
- Upper body position lines on Position Plot modified to hold constant torso and arm lengths as reach is changed.
- Added overall lengths to Tube Layout Plot.
BG101_v800_Instr.doc
document.xls Bicycle Geometry 101 Version 8.01 July 2008
Instructions
- Added seat tube overall length and changed chainstayoverall length to length calculation along axis (for curved stay) on Tube Description worksheet.
- Series names completed in all plots
- Documentation updated for new features.
Release notes for version 7.20 (May 2008):
- Project Title block and design Summary added toFrame Geometry Worksheet.
- Project Title and Design Summary information written to Position and Frame plots, Project Title written to Toe Clearance, Drive Train, and Tube Layout plots.
- Store_All and Recall_All macros amended to write/read Project Title as design record identifier on Design Library Worksheet.
- Button objects added to Design Library Worksheet torun Store_All and Recall_All macros with one mouse-click.
- Frame Stack Height, Reach, and Effective Top Tube length dimensions added to calculated outputs on Frame Geometry Worksheet.
- Documentation updated for new features.
Release notes for version 7.10 (April 2008):
- Added identifying text label to miter template inputs.
-Miter identifier text input and descriptive data from Tube Miter Worksheet is written on miter templates.
-Added table of main-triangle miter template inputs for current design to Tube Mitering Worksheet.
-Documentation updated for new features.
Release notes for version 7.02 (December 2007):
- Rider contact point and frame dimension estimates combined and now self-contained (not dependent onframe geometry inputs).
document.xls Bicycle Geometry 101 Version 8.01 July 2008
Instructions
- Revised crank arm length estimate to linear fit vs. inseam.
- Added virtual seat tube and seat tube angle estimates.
- Added provision to override program-generated estimates for contact points and frame dimensionswith constant or formula within estimation algorithm sequence.
- Estimated values for frame and component dimension inputs now displayed next to or below corresponding input cells on Frame Geometry Worksheet.
- All affected store/recall macros revised for new frame dimension and position estimation method changes.
- Revised Calculated Reach 2 to diagonal distance.
- Rearranged CG calculator inputs for ease of use.
- Documentation updated for revisions and new features,instructions for making full-size frame drawing added.
Note: Because of the above changes, values in items 7 through 14 "Frame Dimension and Position Estimating Constants" in Design Library Records from previous versions will need to be modified if loaded into this version, and there is now an additional input value in this group. If previously used values are not needed, old design records can be converted as follows:insert a column immediately after item 6 (shifting all items from column 7-on to the right), and replace what are now items 7 through 15 with the current version's default values. These inputs are only used for estimating dimensions and do not affect the frame design in any way.
If previously used values are important:- 7, 9, 11, and 13 existed previously as 10, 12, 13, and 7, and are used in the same way- 8, 10, 12, 14, and 15 are new, and may be replaced with the default values in 7.01
Release notes for version 6.31 (July 2007):
- Reference point for horizontal location of saddle changed from pedal axle to bottom bracket center.
document.xls Bicycle Geometry 101 Version 8.01 July 2008
Instructions
- Method of estimating horizontal distance to sit bonelocation revised to use Femur Length and Inseam with adjustment factor (adjustment factor replaces fractionof femur length input on Frame Geometry Worksheet and Design Library Worksheet).
Note: Because of the above changes, two values in Design Library Records from previous versions will need to be modified if loaded into this version:Column 11, set to 1.0; Column 16, subtract crank length from old value.
- Documentation updated for above changes, illustrations imbedded in text, and further description of frame geometry inputs controlling top tube position and process for evaluating fit of an existing frame added.
Release notes for version 6.20 (December 2006):
- Conditional formatting added to Solver Matrix tohighlight unsatisfied constraints
- Head tube angle added to Solver Matrix independentvariables, minimum and maximum head tube angles added to Solver Matrix dependent variables
- Added Front Axle to Brake Center Bolt length calculation for cantilever brake pivot location on forkfor straight and curved blades
- Front brake and braking surface schematic added toPosition Plot
- Rear brake dimension and position inputs added to Tube Description Worksheet (Brake Reach, Brake Offset, and Braking Surface Average Radius)
-Design Library Worksheet and store and recall macrosupdated to include rear brake dimension and position inputs
- Added Rear Axle to Rear Brake Center bolt calculationto Tube Description Worksheet
- Front and rear brake and braking surface schematicsadded to Frame Plot
- Documentation updated for new features
document.xls Bicycle Geometry 101 Version 8.01 July 2008
Instructions
Release notes for version 6.10 (September 2006):
- Added display of calculated remaining length to curved chain stay definition input table on Tube Description Worksheet
- Lower down tube miter shape now includes seattube miter on Frame Plot and Tube Layout Worksheetsassuming circular section down tube at bottom bracket
Release notes for version 6.00 (September 2006):
- Added curved chain stay definition to TubeDescription Worksheet
- Added second intersected tube oriented perpendicular to intersection plane with first tube to Tube Mitering Worksheet (for downtube template).
Release notes for version 5.11 (June 2006):
- Added macros to connect/disconnect solver matrix independent variables and reset reference values for independent and dependent variables.
- Maximum stem length constraint added to Solver set-up for automated design solution
- Improved toe clearance calculation robustnessand replaced toe overlap with toe clearance inSolver set-up
- Max length of mitered tubes calculated and displayed in tube cutting list
Release notes for version 5.00 (May 2006):
- New Design Library worksheet added to store design input data sets
- Macros created to automate storage and recall of complete designs or portions thereof.
- Documentation updated with description of DesignLibrary worksheet and store/recall macros
Release notes for version 4.11 (March 2006):
document.xls Bicycle Geometry 101 Version 8.01 July 2008
Instructions
- Miter profiles accurately drawn in Frame Plot and Drive Train Plot.
- Head Tube added to tube cutting list on Tube Description worksheet.
- New Toe Clearance Plot shows arc of tire from 0-60 degrees steer angle and closest position of shoe toe.
- Foot Length measurement used to estimate shoetoe arc radius for tire clearance calculation.
- Frame Geometry and Tube Description worksheetsrearranged to better separate user inputs andcalculated results.
- Documentation updated for Foot Length measurement, Toe Clearance Plot and Tube Layout Plot descriptions, edited for flow and content.
Release notes for version 4.00 (October 2005):
- All dimensions are now in millimeters.
- Crank arm length now estimated as percent ofinseam measurement.
- Old "Frame Plot" is now renamed "Position Plot"
- Old "Tube Lengths" worksheet is now renamed "Tube Description" worksheet, and includes inputs for parametric descriptions of rear dropout, crankset, and rear cassette.
- New Frame Plot shows elevation view of Frame with2-D representation of the tubes. The chain stay and seat stay positions and lengths are determined as required to attach to the specified rear dropout.
- New "Drive Train Plot" shows a layout of the rear tire, crank arm end, chainrings, and rear cassette in the plane of the chain stay axes to check drive train component clearances.
document.xls Bicycle Geometry 101 Version 8.01 July 2008
Instructions
- Errors in the top tube "min length" calculation,present in version 3.11 and previous, have been fixed.
document.xls Bicycle Geometry 101 Version 8.01 July 2008
Calculated Rider MeasurementsTorso (Sternal Notch - Inseam, mm) 625Right-Angle Reach (mm) 924Horiz. Dist. Pedal Axle to Shoe Toe (mm) Estimate at 35.0% Foot Length 100 …or use value 0 100Estimated Contact Points and Frame DimensionsCrank arm length (mm) Estimate at 175 …or use value 0 175Pedal Stack Height (mm) Estimate at 30 …or use value 0 30Shoe Toe Arc Radius (mm) Estimate at 104 …or use value 0 104Saddle Height (Insole to saddle top, mm) Estimate at 104.5% Inseam 946 …or use value 0 946Saddle Height (BB ctr to saddle top, mm) Estimate at 800 …or use value 0 800Saddle Height (BB center to saddle top, % of inseam) 88.5%Sit Bone Reference Point (Horiz. Dist. to BB Center, mm) Estimate at 291 …or use value 0 291Seat Tube Angle (Degrees) Estimate at 60 mm Sit Bone to Seat Tube Axis Offset 73.2Reach Sit Bone to H'bar C/L Extreme (mm) Estimate at 98.0% Rt-Ang Reach 905 …or use value 0 905H'bar Reach (Clamp to C/L extreme, mm) Estimate at 12.0% Rt-Ang Reach 111 …or use value 0 111Stem Position (Drop from Saddle Top, mm) Estimate at -7.00 Degrees -110 …or use value 0 -110Stem length (C-C, mm) Estimate at 13.0% Rt-Ang Reach 118 …or use value 0 118Actual Seat Tube Length (C-C, mm) Estimate at 65.0% Inseam 588 …or use value 0 588Virtual seat tube length (C-C, mm) Estimate using 85 mm Steerer Clamp Center to HT-TT Intersection
and 82 Degree Stem Angle 583Horizontal top tube length (C-C, mm) Estimate at 574Rotation of handlebar (Relative to bar-end at horizontal, Degrees) Estimate at 15.0Position Inputs (Used to locate contact points on Position Plot) Estimated Use ValueSaddle Height (BB ctr to saddle top, mm) 800 800Saddle Reference Point Horiz. Dist. to BB Center (Sit Bone or Other, mm) 291 293Desired Reach From Saddle Reference Point to Handlebar Reference Point (mm) 905 910Stem Position (Vertical Dist. from Saddle Top to Bar Clamp Center, mm) -110 -110Rotation of handlebar (Relative to bar-end at horizontal, Degrees) 15 15.0Mass and CG Data Inputs (see CG Calculator Worksheet for information on how to determine CG)Mass of rider (kg) 80.8Location of Rider CG relative to BBc (mm) -10 -11Estimated Mass of Bike (kg) 8.16Estimated Weight Distribution of Bike (% of mass over front axle) 50% 50.0%
Handlebar Description (side view of tube CL, with bar-end horizontal)Type Deda AnatomicAngle of top relative to horizontal (Degrees) -20Length to start of first bend (From bar clamp center, mm) 64.0Radius of first bend (mm) 50.0Swept angle of first bend (Degrees) 110Length from end of first bend to start of second bend (mm) 44.0Radius of second bend (mm) 36.0Swept angle of second bend (Degrees) 50Length of bar end from end of second bend (mm) 45.0
*** No User Inputs Below This Line ***
Calculated DimensionsWheelbase (mm) 990.2Front Center (mm) 594.8BB Center Height (From ground, mm) 262.6Trail (mm) 57.1BB Center to Rear axle (Horizontal distance, mm) 399.7BB Center to Front axle (Horizontal distance, mm) 590.5Seat Tube Setback (Horizontal distance from BBc to seat tube-horizontal top tube intersection, mm) 166.7Actual Top Tube Length (C-C, mm) 552.2Down Tube Length (C-C, mm) 640.9Seat Stay Length (Rear axle to top tube-seat tube intersection, mm) 450.2Stand-over Height (Top tube-head tube intersection point to ground, mm) 807.7Toe Overlap (Projected side view, mm) -18.8Toe Clearance (Minimum as front wheel turned on steerer axis, mm) 5.8Frame Stack Height (Vertical distance from BB center to top center of head tube, mm) 576.2Frame Reach (Horizontal distance from BB center to top center of head tube, mm) 399.1Effective Top Tube Length (Horizontal distance from top center of head tube to seat tube axis, mm) 575.3Steerer StackTotal Steerer Stack Height (Crown race seat to bottom of stem clamp, mm) 213.0Required Steerer Tube Spacer (mm) 28.6Minimum Steerer Tube Length (mm) 247.7Seatpost/Saddle/StemSeatpost Length (Saddle Rail to Seat tube-top tube intersection, mm) 302.0Saddle Fore-Aft Deviation From Neutral (mm) 0.9Handlebar Reach (Bar clamp center to extreme of handlebar tube centerline as positioned, mm) 109.3Calculated Reach 1 (Saddle reference point to stem-bar intersection + handlebar reach, mm) 908.7Calculated Reach 2 (Saddle reference point to stem-bar intersection, mm) 800.3Stem Angle to Horizontal (Degrees) 8.5Stem Rise (mm) 17.7Stem Horizontal Length (mm) 118.7Frame Construction DetailsTop Tube Angle to Horizontal (Degrees) 11.69Chain Stay-Seat Tube Internal Angle (Degrees) 62.93Chain Stay-Seat Stay Internal Angle (Degrees) 63.65Seat Tube-Down Tube Internal Angle (Degrees) 58.98Seat Tube-Top Tube Internal Angle (Degrees) 84.69Head Tube-Top Tube External Angle (Degrees) 85.19Down Tube-Head Tube External Angle (Degrees) 58.48Head Tube Upper Extension (mm) 32.4Head Tube Upper Free Length (mm) 11.8Head Tube Lower Free Length (mm) 7.2Head Tube Center-to-Center Length (mm) 71.6Top Tube-Down Tube Gap at Head Tube (mm) 34.9Seat Tube Free Length (mm) 20.6Rear Tire Clearance to Seat Tube (mm) 10.4Front Tire Clearance to Down Tube (mm) 31.9Front Tire Clearance to Fork Crown (mm) 14.0Fork Blade length (Center of Front Axle to Center of Crown Race Seat, mm) 374.1Required Front Brake Reach, Curved Fork Blades (Front brake center bolt CL to braking surface Avg radius, mm) 47.2Distance From Front Axle to Front Brake Center Bolt, Curved Fork Blades (Measured paralell to Steering Axis, mm) 358.0Required Front Brake Reach, Straight Fork Blades (Front brake center bolt CL to braking surface Avg radius, mm) 53.2Distance From Front Axle to Brake Center Bolt, Straight Fork Blades (Measured paralell to Fork Blade Axis, mm) 360.1Weight DistributionWeight Distribution of Bike +Rider Front Axle 40.3% Rear Axle 59.7%Location of bike + rider CG relative to Bottom Bracket Center (mm) -1.0
document.xls Bicycle Geometry 101 Version 8.01 July 2008
MPM Reference CaseHT/ST Angle 73.5/73° Horiz. Top Tube 575mmVirtual Seat Tube 570mmWheelbase 990mmFront Center 595mmChain Stay Length 406mmBottom Bkt. Drop 71mmHT/Fork Length 153/372mmStem/Spacer 120/29mmOffset/Trail 40/57mmCompared to:Solver Solution (20mm spacer & 6 Deg TT)HT/ST Angle 73.6/73.1° Horiz. Top Tube 576mmVirtual Seat Tube 576mmWheelbase 990mmFront Center 595mmChain Stay Length 405mmBottom Bkt. Drop 71mmHT/Fork Length 162/372mmStem/Spacer 120/20mmOffset/Trail 40/57mm
document.xls Bicycle Geometry 101 Version 8.01 July 2008
Toe Clearance
100 200 300 400 500 600 700-300
-200
-100
0
100
MPM Reference CaseCrank Length = 175mmShoe Toe Arc Radius = 105mmShoe Toe Semi-Tread = 125mmShoe Toe Radius = 30mmTire Radius = 334mmMinimum Clearance = 5.8mm
Solver Solution (20mm spacer & 6 Deg TT)Crank Length = 175mmShoe Toe Arc Radius = 105mmShoe Toe Semi-Tread = 125mmShoe Toe Radius = 30mmTire Radius = 334mmMinimum Clearance = 5.7mm
Compared to:
document.xls Bicycle Geometry 101 Version 8.01 July 2008
Reference Case Display Options for Position and Toe Clearance Plots
Position Plot Reference Data Set IncludeHandlebars yesSaddle yesFrame and Fork yesWheels yesPosition Dimension Lines yesWheelbase/FC/Trail Dimension Lines yesReference Case Project Title yesReference Case Summary Info yes
Toe Clearance Plot Reference Data Set IncludeCrank, Shoe, Tire, and Tire Path yesReference Case Project Title yesReference Case Summary Info yes
*** No User Inputs Below This Line ***Compared to: Compared to: Compared to:MPM Reference Case Solver Solution (20mm space Solver Solution (20mm spacer & 6 Deg TT)HT/ST Angle 73.5/73° HT/ST Angle 73.6/73.1° HT/ST Angle 73.6/73.1° Horiz. Top Tube 575mm Horiz. Top Tube 576mm Horiz. Top Tube 576mmVirtual Seat Tube 570mm Virtual Seat Tube 576mm Virtual Seat Tube 576mmWheelbase 990mm Wheelbase 990mm Wheelbase 990mmFront Center 595mm Front Center 595mm Front Center 595mmChain Stay Length 406mm Chain Stay Length 405mm Chain Stay Length 405mmBottom Bkt. Drop 71mm Bottom Bkt. Drop 71mm Bottom Bkt. Drop 71mmHT/Fork Length 153/372mm HT/Fork Length 162/372mm HT/Fork Length 162/372mmStem/Spacer 120/29mm Stem/Spacer 120/20mm Stem/Spacer 120/20mmOffset/Trail 40/57mm Offset/Trail 40/57mm Offset/Trail 40/57mmCompared to: Compared to: Compared to:MPM Reference Case Solver Solution (20mm space Solver Solution (20mm spacer & 6 Deg TT)Crank Length = 175mm Crank Length = 175mm Crank Length = 175mmShoe Toe Arc Radius = 105 Shoe Toe Arc Radius = 105 Shoe Toe Arc Radius = 105mmShoe Toe Semi-Tread = 125 Shoe Toe Semi-Tread = 125 Shoe Toe Semi-Tread = 125mmShoe Toe Radius = 30mm Shoe Toe Radius = 30mm Shoe Toe Radius = 30mmTire Radius = 334mm Tire Radius = 334mm Tire Radius = 334mmMinimum Clearance = 5.8mmMinimum Clearance = 5.7mmMinimum Clearance = 5.7mm
Seat Stay Dimensions and Position R. Dropout R. Wheel Dimensions Rear Brake Location
16.0 16.0 0.0 0.00 130.0 23.0 45.0 38.0 311.0
Rear Dropout Description Crankset DescriptionType (note only; not used to define type) Key Ref. Vertical Crank Length (From Frame Geometry Worksheet) 175.0Angle, Axle to CS Tang-SS Tang Vertex (Degrees) A 0.0 Number of Chainrings 3Length, Axle to Tang Vertex (mm) 1 0.0 Number of Teeth CR1 30CS Tang Length to Vertex (mm) 2 36.0 Number of Teeth CR2 42Angle CS Tang to SS Tang (Degrees) B 70.0 Number of Teeth CR3 53SS Tang Length to Vertex (mm) 3 40.0 Chain Line (mm) 46.5Angle, Axle Slot (Degrees) C 0.0 Q-factor (mm) 162.0Axle Slot Length (C-C, mm) 4 0.0 Crank End Dia (mm) 34.5Angle, Derailleur Hanger (Degrees) D -110.0 Crank End Thickness (mm) 13.8Derailleur Hanger Length to Axle (mm) 5 28.0 Chainring Spacing (C-C, mm) 7.4Thickness at Axle Slot (mm) 6.0
Rear Cassette DescriptionNumber of Sprockets 10
CL length to start of first bend (from BB shell outer surface, mm) 30.0 Number of Teeth on Outermost (smallest) Sprocket 12Radius of first bend (mm) 300.0 Number of Teeth on Innermost (largest) Sprocket 25Swept angle of first bend (Degrees) 5.0 Dist. from Axle Locknut Face to Outer Sprocket CL (mm) 5.0Length from end of first bend to start of second bend (mm) 200.0 Sprocket Spacing (C-C, mm) 4.0Radius of second bend (mm) 300.0Swept angle of second bend (Degrees) -5.0Constant section length (along CL, mm) 0.0Remaining Length to Dropout (calculated; must be >= 0) (mm) 71.7
Seat Tube Length (C-C,
mm)Seat Tube
Extension (mm)Top Tube Length
(C-C, mm)Down Tube Length (C-C,
mm)
Chain Stay Length (Side
projection, mm)Head Tube
Diameter (mm)Top Tube Dia
(Height) at Head Tube (mm)
Top Tube Dia (Height) at Seat
Tube (mm)
Down Tube Dia (Height) at Head
Tube (mm)
Seat Tube Diameter at Top
Tube (mm)
Head Tube Length(mm)
Head Tube Upper
Extension (mm)
Top Tube Dia (Width) at Head
Tube (mm)
Top Tube Dia (Width) at Seat
Tube (mm)
Seat Tube Dia at Bottom Bracket
(mm)
Down Tube Dia (Height) at
Bottom Bracket (mm)
Down Tube Dia (Width) at Head
Tube (mm)
Bottom Bracket Shell Dia (Use ID for Lugged, OD
for Lugless, mm)
Bottom Bracket Shell Width (mm)
Chain Stay Dia (Height) at
Bottom Bracket (mm)
Chain Stay Dia (Width) at
Bottom Bracket (mm)
Chain Stay Dia (Height) at Rear Dropout (mm)
Chain Stay Dia (Width) at Rear Dropout (mm)
Chain Stay Spacing (at BB Shell, C-C, mm)
Seat Stay Dia (Height) at Rear Dropout (mm)
Seat Stay Dia (Height) at Seat
Tube (mm)
SS Offset From ST-TT
Intersection (on ST axis, mm)
Rear Dropout Rotation
Adjustment (Degrees)
Rear Hub Over-Locknut
Dimension (mm)Rear Tire Size (width, mm)
Rear Brake Reach (Caliper is
Positive, Cantilever is
Negative, mm)
Rear Brake Offset (From
Seat Stay Centerline, mm)
Rear Wheel Braking Surface
Avg Radius (mm)
Curved Chain Stay Description (Set all inputs to zero for straight stay)
document.xls Bicycle Geometry 101 Version 8.01 July 2008
Tube Descriptions
*** No User Inputs Below This Line ***
Calculated Tube Lengths Head Tube Seat Tube Top Tube Down Tube Chain Stays Seat Stay(Right) (Left)
Viewed From Right Side Right Side Right Side Right Side Top Top Right Side
Overall Length of Mitered Tube (mm) 479.4 545.1 640.9 358.5 358.5Min Length on Top Center Line (mm) - 468.5 516.0 615.7 352.9 352.9 -
Splay Angle (Based on end points, Degrees) - - - - 7.80 7.80 -
Joint Angles and Length AdjustmentsTT End TT End ST End BB End BB End BB End ST End
Joint Angle (Degrees) 90 90 95.31 90 85.4 94.6 54.60Joint intersection to end of mitered length on axis (mm) - 35.0 -7.1 0.0 -15.1 -15.1 -Relief Depth (mm) - 0.0 -10.5 -19.5 -4.5 -4.5 -Miter differential length (Bottom CL to Top CL, mm) - 0.0 3.0 0.0 -1.6 -1.6 -
DT End BB End HT End HT End DO End DO End DO EndJoint Angle (Degrees) 90 90 94.81 58.48 90 90 90Joint intersection to end of mitered length on axis (mm) - -8.6 0.0 0.0 36.0 36.0 -Relief Depth (mm) - -10.9 -18.6 -21.7 0.0 0.0 0.0Miter differential length (Bottom CL to Top CL, mm) - 0.0 -3.2 31.9 0.0 0.0 0.0
Mitered Length of Tube on Axis (mm) 153.0 479.4 545.1 640.9 358.4 358.4 416.0
Calculated DimensionsNew Chain Stay-Seat Tube Internal Angle (projected, degrees) 62.9Chain Stay Deviation Angle to DO Tang (degrees) 0.0Chain Stay Offset to Raxle (mm) 0.0Seat Stay Deviation Angle to DO Tang (degrees) -7.0Seat Stay Offset to Raxle (mm) -4.9True Seat Stay-Seat Tube External Angle (degrees) 125.4Rear Axle Center to Rear Brake Center Bolt Axis (measured paralell to seat stay, mm) 353.0Rear Axle Center to Center of Rear Brake Bridge (mm) 353.1
document.xls Bicycle Geometry 101 Version 8.01 July 2008
document.xls Bicycle Geometry 101 Version 8.01 July 2008
Tube Layout
-100 0 100 200 300 400 500 600 700 8000
100
200
300
400
500
600
1
3HeadTube
SeatTube
TopTube
DownTube
Right Chain Stay
Note: Miter profiles are drawn with the following assumptions:Head tube, seat tube, and bottom bracket are circular in section; top tube, down tube, and chain stay are circular or eliptical in section as specified by their height and width inputs, excepting the bottom bracket end of the down tube which is circular as there is no width input. The dimensions shown on this plot are always accurate, since they depend only on the height of the tubes at the joints.
MPM Reference Case
Top Tube Overall Length = 545.1mm
Seat Tube Overall Length = 479.4mm
Down Tube Overall Length = 640.9mm
Chain Stay Overall Length (along axis) = 358.5mm
document.xls Bicycle Geometry 101 Version 8.01 July 2008
- Independent variables must be Frame Geometry worksheet inputs (never Calculated Values)- Independent variable cell references (under "Value" above) are loaded into the Solver's "By Changing Cells" list- Frame Geometry input cells "pull" from independent variable value cells above- To use Solver, set corresponding cells on Frame Geometry Worksheet to read values from cells above either manually or use "Connect Solver Matrix Independents" macro
- Dependent variables may be any calculated output from the Frame Geometry Worksheet- Dependent variable values are "pulled" from Frame Geometry calculated value cells- Dependent variable cell references (under "Value" above) are loaded into the Solver's "Target Cell" (for min or max) or the left-hand side of Solver "Constraint" definitions
- Dependent parameter desired value cell references are loaded into the right-hand side of Solver "Constraint" definitions, or into Solver's Target Cell "Value of:" field (which only accepts numerical value, not cell reference)
- Constraint type (for reference only. Constraints are specified in the Solver Dialog Box)
document.xls Bicycle Geometry 101 Version 8.01 July 2008
Design Library
Color Key To store or retrieve individual design data groups from the library:Rider Measurements - Select a design by clicking on its Design Record Identifier cell in column zero.Frame Dimension and Position Estimating Constants - If new design data is to be stored, choose a blank row, type a name in the Design Record Identifier cell, and press enter.Position, Mass, and CG Data - Choose Tools -> Macro -> Macros from the top menu bar to show the available macros.Basic Frame Geometry - Chose the desired operation by selecting the name of the macro you wish to run, then click "Run.".Interface Components - The macros store and retrieve data with reference to the cell that is selected when the macro is run. Be sure to select a cell in Tube, Fork, and Dropout DimensionsDrivetrain Components inserting new colums to the left of column zero or to the right of column 126 Position, Mass, and CG Data
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17Rider Measurements Frame Dimension and Position Estimating Constants Position Inputs
Detail for Reach, Saddle Height, and Seatpost Length Calculations Detail for Steerer Stack Height Calculation Detail for Toe Clearance Detail for Tube Lengths and Clearances Detail for Fork Crown Clearance and Brake Reach
document.xls Bicycle Geometry 101 Version 8.01 July 2008
Component Geometry
Handlebar Description (side view of tube CL, from Stem-Bar Intersection with bar-end horizontal)Model Deda Anatomic Deda Italian Classic Deda Belgian StyleAngle of top rlelative to horizontal -20 -32 -18.5Length to start of first bend (from Stem-Bar Isec, mm) 64 75 58Radius of first bend 50 36 65Swept angle of first bend 110 58 161.5Length from end of first bend to start of second bend (mm) 44 15 0Radius of second bend (mm) 36 50 0Swept angle of second bend 50 90 0Length of bar end from end of second bend (mm) 45 80 78
Tire Radius Table Typical Dimensions of Manufactured ForksSize Circumference (mm) Radius (mm) Wheel Use Length (mm) Offset (mm)24 x 1 1753 279.0 700C Road 368 - 374 40 - 5024 x 3/4 Tubular 1785 284.1 CX 395 47 - 5524 x 1 1/8 Tubular 1795 285.7 Tandem 374 - 395 41 - 5524 x 1 1/4 1905 303.2 Track 372 - 374 37.5 - 4424 x 1.75 1890 300.824 x 2.00 1925 306.4 Typical Rear Dropout Descriptions24 x 2.125 1965 312.7 Parameter Key Ref. Horizontal Vertical Track End26 x 1(559 mm) 1913 304.5 Angle, Axle to Tang Vertex (Degrees) A 106 0 9026 x 1(650C) 1952 310.7 Length, Axle to Tang Vertex (mm) 1 9 0 126 x 1.25 1953 310.8 CS Tang Length to Vertex (mm) 2 35 36 3326 x 1 1/8 Tubular 1970 313.5 Angle CS to SS (Degrees) B 70 70 6826 x 1 3/8 2068 329.1 SS Tang Length to Vertex (mm) 3 32 40 3126 x 1 1/2 2100 334.2 Angle, Axle Slot (Degrees) C -12 0 826 x 1.40 2005 319.1 Axle Slot Length (C-C) 4 15 0 2026 x 1.50 1985 315.9 Angle, Derailleur Hanger (Degrees) D -87 -110 026 x 1.75 2023 322.0 Derailleur Hanger Length to Axle (mm) 5 24 28 026 x 1.95 2050 326.3 Thickness at Axle Slot (mm) 6.0 6.0 5.026 x 2.00 2055 327.126 x 2.1 2068 329.126 x 2.125 2070 329.526 x 2.35 2083 331.5 To Quickly Load Inputs for Handlebar or Dropout descriptions:27 x 1 2145 341.4 1) Select the desired column of inputs above, including column heading above and do Edit -> Copy27 x 1 1/8 2155 343.0 2) Select Input column heading cell on Frame Geometry or Tube Description Worksheet and do 27 x 1 1/4 2161 343.9 Edit -> Paste Special -> Values27 x 1 3/8 2169 345.2650 x 35A 2090 332.6650 x 38A 2125 338.2650 x 38B 2105 335.0700 x 18C 2070 329.5700 x 19C 2090 332.6700 x 20C 2086 332.0700 x 23C 2096 333.6700 x 25C 2109 335.7700 x 28C 2136 340.0700 x 30C 2170 345.4700 x 32C 2155 343.0700C Tubular 2130 339.0700 x 35C 2168 345.0700 x 38C 2180 347.0700 x 44C 2224 354.0
Note: These are "effective" radii at the ground contact point.Additional allowance must be made for precise clearances
document.xls Bicycle Geometry 101 Version 8.01 July 2008
CG Calculator
Calculation of Rider and Bicycle CG and Weight Distribution NotesMeasurements
Rider mass (kg) 80.82 Weigh yourself in your riding gearMass of rider and bike (kg) 88.98 Weigh yourself in your riding gear while holding your bikeBike alone mass on front axle (kg) 4.08
Bike and rider mass on front axle (kg) 35.83
Wheelbase (mm) 990.2Distance from rear axle to BBc (mm) 399.7 Horizontal distanceCalculated ValuesTotal bike mass (kg) 8.16Bike alone mass on rear axle (kg) 4.08
Bike plus rider mass on rear axle (kg) 53.15Rider alone mass on front axle (kg) 31.75Rider alone mass on rear axle (kg) 49.07
Bike mass on front axle 50.0% Use this value for Frame Geometry Worksheet inputBike mass on rear axle 50.0%Rider mas on front axle 39.3%Rider mass on rear axle 60.7%
Bike plus rider mass on front axle 40.3%Bike plus rider mass on rear axle 59.7%
Location of Bike CG (distance from rear axle, mm) 495.10Location of rider CG (distance from rear axle, mm) 389.00
Location of bike plus rider CG (distance from rear axle, mm) 398.73Location of bike CG relative to BBc (mm) 95.40
Location of rider CG relative to BBc (mm) -10.70 Use this value for Frame Geometry Worksheet inputLocation of bike plus rider CG relative to BBc (mm) -0.97
Use any bike that you can adjust to get yourself into your desired riding position and a bathroom scale placed directly on a hard, level floor surface.
Center the front axle over the scale with the rear wheel on a support equal to the height of the scale. Support bike gently from side only or use a trainer stand.Center the front axle over the scale with the rear wheel on a support equal to scale height. Hold both brakes to get on, then hold the rear brake only and lean an elbow gently against a door jamb to balance, or use a trainer stand.
document.xls Bicycle Geometry 101 Version 8.01 July 2008
Tube Mitering
Template Tube Dimensions (use any consistent length units)
DT-ST-BB 1.5 39.0 0.8 0.0 35.0 59.0 39.0* Second intersected tube is oriented perpendicular to plane of intersection with first intersected tube. To delete second intersected tube, set its diameter to zero.
59° 39mm 0.8 wall into 35mm and 39mm
Angle of intersection calculation for "fastback" seat stay miters
Frame Geometry and Tube Lengths Seat Stay Offsets*
453.0 73.0 406.0 71.0 136.0 39.7 0.0 4.9 *Negative number moves intersection closer to BB
Template Label (enter text to
identify template)
Template Min Length (in
diameters of mitered tube)
Diameter of Mitered Tube
Wall Thickness of Mitered Tube
Offset of mitered Tube Axis (+ is right, - is left)
Diameter of Intersected Tube
Joint Angle at Intersection (Degrees)
Diameter of Second
Intersected Tube*
Actual Seat Tube C-C (to top tube
intersection, mm)
Seat Tube Angle(deg)
Chain Stay Length
(BB center to Raxle, mm)
BB Drop(mm)
Rear Dropout Spacing (to
Centerlines, mm)
Delta Radius RAxle Ctr to SS End (from SS-ST inter- section,