Calculates dimensions and checks strength of external and internal gearing with straight and helical teeth. It contains geometric calculations for designing different types of correction distributions, including a correction with compensation of slips.
The generator calculates the production, checks dimensions and loading forces, and performs the strength check based on Bach, Merrit, CSN 01 4686, ISO 6336, DIN 3990, ANSI/AGMA 2001-D04: 2005, or Legacy ANSI.
Use the spur gears generator to:
Using the Spur Gears Generator, it is possible to insert maximum 2 gears at the same time.
Design a gear set based on known parameters
Use Spur Gears Generator to insert gear model into your assembly. Use following settings when you know all parameters and want to insert model only, not to perform any calculations or recalculate values.
You can insert one or two gears using these settings.
Calculate spur gear for given center distance
Spur Gears Component Generator - Design tab
Sets parameters for design of a spur gear.
Defines the spur gear. | |
Design Guide | |
Selects the type of geometry calculation. Depending on your selected design guide, edit fields in the Design tab enables. | |
If you know all spur gears parameters and you want to insert spur gears model, we recommend you select Center Distance or Total Unit Correction. These options enable you to insert many entry parameters. | |
Module and Number of Teeth | Calculates the module and number of teeth according to the center distance and other input parameters. |
Number of Teeth | Calculates the number of teeth according to the center distance and other input parameters. |
Center Distance | Calculates the center distance according to all other input parameters. |
Total Unit Correction | Calculates the unit summary correction according to the center distance and all other input parameters. |
Module | Calculates the module according to the center distance and all other input parameters. |
Desired Gear Ratio | Gear ratio is the ratio between the number of teeth in mating gears. |
Internal | Switch to internal gears transmission. |
Module | Module is the ratio of the pitch diameter to the number of teeth. Not available if you select Module and Number of Teeth or Module options in the Design Guide drop-down menu. If not available, calculate module based on other parameters. |
Diametral Pitch | Diametral Pitch is the ratio of the number of teeth to the number of inches in the pitch diameter in the plane of rotation, or the number of gear teeth to each inch of pitch diameter. Normal diametral pitch is the diametral pitch as calculated in the normal plane, or the diametral pitch divided by the cosine of the helix angle. |
Center Distance | Specifies the shortest distance between centers of gears. This option is disabled when you select Center Distance in the Design Guide drop-down menu - you want to calculate center distance based on other input parameters. |
Pressure Angle | Pressure angle is the angle between a tooth profile and a radial line at its pitch point. In involute teeth, the pressure angle is often described as the angle between the line of action and the line tangent to the pitch circled. |
Helix Angle | Helix angle is the angle that a helical gear tooth makes with the gear axis at the pitch circle. You can insert only positive values from 0 to 55. to change direction you must click Flip next to the edit field. |
Helix Angle Flip | Switches the helix direction. |
Unit Correction Guide | Specifies the method to use for calculation of the teeth correction. |
Total Unit Correction | Specifies the sum of the gear unit corrections. Not available if you select Total Unit Correction option in the Design Guide drop-down menu. If not available, calculate total unit correction based on other parameters. |
Preview | Click to display the Preview dialog box with a schematic image of spur gears dimensions. |
Displays additional options for spur gear design. To display the More Options area, click | |
Input Type | |
Gear ratio | Select to calculate number of teeth of the second gear according to gear ratio. |
Number of Teeth | Select to calculate the gear ratio according to number of teeth. |
Size Type | |
Module | Select to calculate the diametral pitch. Typically, select this option if using metric units. |
Diametral Pitch | Select to calculate the module. Typically, select this option if using English units. |
Reaching Center Distance | |
Options are enabled if you select Module and Number of Teeth option from the drop-down list in the Common area. | |
Teeth Correction | Select to calculate the unit summary correction according to the center distance and other input parameters. |
Helix Angle | Select to calculate the helix angle according to the center distance and other input parameters. It is recommended that you replace the calculated real value with an integer value. |
Unit Tooth Sizes | |
Check the Gear 2 box to enter values for Gear 2. | |
To display the Results area on the right side of the Calculation and Design tabs, double-click the double line on the right or click the chevron.
The area displays the calculated values and the key strength check. Values are calculated when you click Calculate.
The units of the results values can be changed. Double-click the specified value you want to change.
Following output parameters are displayed in the Results pane:
Displays the reports about calculation. To open Summary of Messages at the bottom of the Calculation and Design tabs, double-click the double line at the bottom of the tabs, or click the chevron at the bottom of the tabs.
Spur Gears Component Generator - Calculation tab
This tab extends the Design tab. Calculates generator data based on selections in the Design tab.
Method of Strength Calculation
Specifies the method of a strength calculation type for your calculation. The strength calculation dialog box opens when you click Factors at the bottom of the Calculation tab.
Specifies the loads and calculates the strength proportions which calculate forces, moments, and speeds from the specified power, number of revolutions, and gearing efficiency.
Efficiency | Efficiency is the torque ratio of a gear set divided by its gear ratio. |
Warning: Determines the strength parameters of material empirically and reflects the minimum values applicable for a group of materials. Although these values are close to the values obtained using measurement of particular materials, we recommend that you use parameters of material according to the material sheet or specifications of the producer for final calculations. | |
Material | Specifies material values you enter, or material you select from the Material Database. |
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| If a material is selected from the Material Database, its values are inserted automatically into the following five edit fields, and the edits fields are locked. To unlock the field, clear the check box. |
| Allowable Bending Stress | Specifies allowable bending stress. |
Allowable Contact Stress | Specifies allowable contact stress. |
Modulus of Elasticity | Modulus of elasticity (also called Young’s Module) is the ratio of unit stress to unit strain within the proportional limit of a material in tension or compression. |
| Poisson’s Ratio | Poisson’s Ratio is the ratio of lateral strain to longitudinal strain for a given material subjected to uniform longitudinal stresses within the proportional limit. The term is found in certain equations associated with strength of materials. |
Heat Treatment | Specifies the type of treatment in a dialog box. |
Opens the Factors dialog box to specify Factors.
Opens the Accuracy dialog box to specify accuracy values. | |
Standard | Specifies the accuracy standard you select from the list. |
Displays additional options for spur gear designate display the More Options area, click | |
Type of Load Calculation | |
Power, Speed | Calculates the torque according to the power and speed. |
Torque, Speed | Calculates the power according to the torque and speed. |
Power, Torque | Calculates the speed according to the power and torque. |
Type of Strength Calculation | |
Check calculation | Performs a strength check calculation. |
Material Design | Calculates the minimum material values that satisfy the strength condition of the current strength calculation. |
Geometry Design | Design the (smallest) geometry according to the strength check. |
Limit Values | |
Minimal Factor of Safety | Minimal required safety in contact and bending. |
To display the Results area on the right side of the Calculation and Design tabs, double-click the double line on the right or click the chevron.
The area displays the calculated values and the key strength check. Values are calculated when the Calculate command is pressed.
The units of the results values can be changed. Double-click the specified value you want to change.
Displays the reports about calculations. To open the Summary of Messages area at the bottom of the Calculation and Design tabs, double-click the double line at the bottom of tabs or click the chevron.
Factors - According to ISO, DIN, CSN
The display in this window depends upon the option selected in the Method of Strength Calculation selection list in the Calculation tab.
See Engineer's Handbook for calculation formulas on factors.
OK | Click to confirm the selection and close the dialog box. |
Cancel | Closes the dialog box. |
User Factors | Check the box to enter values manually. |
Factors of Additional Load | |
Application factor takes account of dynamic overloads from sources external to the gearing. Click Factors... on the context menu to open Application factor dialog box where you can select the value. | |
Dynamic Factor for contact takes into account load increments due to internal dynamic effects. | |
Dynamic Factor for bending takes into account load increments due to internal dynamic effects. | |
Face Load Factor for contact depends among other parameters on shaft angle and shaft displacement between gear 1 and gear 2. The influence of these parameters is determined using the Kinematic diagram. It is necessary to select kinematic diagram that corresponds with designed mechanism. Click | |
Face Load Factor for bending depends among other parameters on shaft angle and shaft displacement between gear 1 and gear 2. The influence of these parameters is determined using the Kinematic diagram. It is necessary to select kinematic diagram that corresponds with designed mechanism. Click | |
Transverse load Factor for contact takes into account uneven load distribution in the transverse direction resulting, for example from pitch deviation. | |
Transverse load Factor for bending takes into account uneven load distribution in the transverse direction resulting, for example from pitch deviation. | |
One-time Overloading Factor takes into account maximal one-time overload of gear. | |
Factors for Contact | |
Zone Factor accounts for the influence on the Hertzian pressure of the tooth flank curvature at the pitch point. | |
Contact Ratio Factor accounts for the influence of the transverse contact ratio and the overlap ratio on the specific surface load of the gears. | |
Single Tooth Pair Contact Factor converts contact stress at the pitch point to the contact stress at the inner point of single pair tooth contact on the gear. | |
Life Factor takes account of a higher permissible Hertzian stress if only limited durability is demanded. | |
Lubricant Factor accounts for the influence of the lubricant viscosity. | |
Roughness Factor accounts for the influence of surface roughness. | |
Velocity Factor accounts for the influence of pitch line velocity. | |
Helix Angle Factor makes allowance for the influence of the helix angle on the surface durability. | |
Size Factor accounts for the influence of the tooth dimensions for the permissible contact stress. | |
Work Hardening Factor accounts for the effect of meshing with a surface hardened or similarly hard mating gear. | |
Factors for Bending | |
Form Factor takes into account the influence on nominal tooth-root stress, of the tooth form with load applied at the tooth tip. | |
Stress Correction Factor takes into account the conversion of the nominal bending stress determined for application of load at the tooth tip, to the local tooth-root stress. The following are taken into account: a) the stress amplifying effect of change of section at the tooth-root; and b) that evaluation of the true stress system, at the tooth-root critical section, is more complex than the simple system evaluation presented, but the influence of the bending moment arm is neglected. | |
Teeth With Grinding Notches Factor accounts for the influence of grinding notches in the fillet of a gear near the critical section. It also take into consideration the reduction in the tooth-root thickness. | |
Helix Angle Factor takes into account influences of the helix angle, such as the variation of the load along the lines of contact. | |
Contact Ratio Factor accounts for the influence of the transverse contact ratio and the overlap ratio on the specific surface load of the gears. | |
Alternating Load Factor accounts for the influence of reversible load of teeth. | |
Production Technology Factor accounts for the influence of dedendum burnishing, and so on. | |
Life Factor takes account of a higher permissible Hertzian stress if only limited durability is demanded. | |
Notch Sensitivity Factor accounts for the influence of the notch sensitivity of the material. | |
Size Factor accounts for the influence of the tooth dimensions on tooth bending strength. | |
Tooth Root Surface Factor accounts for the influence of surface roughness. | |
Factors - According to Legacy ANSI
The display in this window depends upon the option selected in the Method of Strength Calculation selection list in the Calculation tab. You must have the Legacy ANSI selected.
See Engineer's Handbook for calculation formulas on factors.
OK | Click to confirm the selection and close the dialog box. |
Cancel | Closes the dialog box. |
User Factors | Check the box to enter values manually. |
Factors - According to ANSI/AGMA 2001-D04: 2005
The display in this window depends upon the option selected in the Method of Strength Calculation selection list in the Calculation tab. You must have the ANSI/AGMA 2001-D04:2005 selected.
See Engineer's Handbook for calculation formulas on factors.
OK | Click to confirm the selection and close the dialog box. |
Cancel | Closes the dialog box. |
User Factors | Check the box to enter values manually. |
Displays a dialog box for input of accuracy standard and accuracy degree.
Displays list of material types. Select a type and click OK. The calculated value of coefficient for selected material type is inserted into the Size Factor edit field.
Access: | and on the Calculation tab, click Factors, and in Factors for Bending, click Factors in the Size Factor list menu. |
Teeth with Grinding Notches Factor
Displays a dialog box for input of grinding notches dimensions.
Enter the dimension values and click OK. The calculated value of factor is inserted into Teeth with Grinding Notches Factor. If you want to insert a value that does not correspond with other inserted values or calculation criteria, the edit field turns red and it is not possible to insert value to the Factors dialog box.
Access: | . In the Spur Gears Component Generator, Calculation tab, click Factors. In Factors for Bending, click Factors in the Teeth with Grinding Notches Factor list menu. |
Displays kinematic diagram of gear arrangement. Move with the arrow to select the appropriate diagram and insert dimension values.
Access: | . In the Spur Gears Component Generator, Calculation tab, click Factors, and then click |
Use the edit fields to enter the values. Left column represents values for gear 1, the right column represents values for gear 2. Gear 1 is a driving gear, and gear 2 is a driven gear. Only text boxes which correspond with selected kinematic diagram are active.
On the Dimensions tab, displays the schematic image of spur gears dimensions. Use other tabs to show profile of mesh, pinion, and gear teeth.
The dialog box is re sizable.
Displays the schematic image of the spur gears dimensions.
Click Gear 1, Gear 2 commands to see appropriate calculated results.
Check the box to insert the dimension between wires value.
Results
Results pane shows the calculated values for either gear 1 or gear 2.
You can change the input values in the Design and Calculate tabs. Values are calculated when you click Calculate.
The units of the results values can be changed. Double-click the specified value you want to change and units are automatically converted to desired units.
Following output parameters are displayed in the Results pane:
Displays actual teeth mesh of the pinion and gear. Available for external and internal teeth. The geometry is based on values specified in the Design and Calculation tabs. Click Calculate to update the preview.
The blue dotted line represents the base circle.
The red dash dot line represents the pitch diameter circle or axis.
Line of action is highlighted in blue.
Displays actual mesh of the pinion and gear rack. Available for external teeth only. The picture can give a better understanding of how the tooth profile is produced. The geometry is computed based on values specified in the Design and Calculation tabs. Click Calculate to update the preview.
The blue dotted line represents the base circle.
The red dash dot line represents the pitch diameter circle or axis.
Displays actual mesh of the gear and gear rack. Available for external teeth only. The picture can give a better understanding of how the tooth profile is produced. The geometry is computed based on values specified in the Design and Calculation tabs. Click Calculate to update the preview.
The blue dotted line represents the base circle.
The red dash dot line represents the pitch diameter circle or axis.
You can create actual tooth profile with respect to your specific defined backlash. The tooth profile is computed and exported to a sketch in a newly created part. The model is not associated with the spur gear set. The sketch also contains all of the important circles head, root, pitch and base.
| Access: | Select already inserted spur gears set, right-click and select Export tooth shape. |
Export
Select the Pinion or Gear geometry to export.
Specify desired precision as a distance deviation of the curves from the exact analytical profile. Tolerance specified affects noticeably how many spline points are generated.
Tool shift adjustment
Displays list of steel material types. Select a type and click OK. The flag of selected steel material type is inserted into the Heat Treatment edit field.
Access: | On the Design tab, Power Transmission panel, click Spur Gear or Bevel Gear. In the Spur Gears or Bevel Gears Component Generators, Calculation tab, click the arrow next to Heat Treatment and select Factors. |
OK | Click to confirm the selection and close the dialog box. |
Cancel | Click to close the dialog box. |