Shaft-hub connections
Calculate before it gets critical

Load-bearing capacity analysis
Joint pressure
Documentation

Finding the Right Connection for High Torques

Shaft-Hub- Shaft s must reliably transmit high torques and forces between the and the hub. Key factors here include not only the geometry and type of connection, but also press fits, material pairings, oversize, and actual operating conditions.

MDESIGN combines these influencing factors in a comprehensive calculation. This reveals which connection transmits the required power, where critical stresses occur, and which geometry is appropriate for the application.

SPLINE SHAFTS & INTERFIT GEARING DIN 5464 & DIN ISO 14
KEY JOINTS DIN 6885 & DIN 6892
PRESS ASSOCIATIONS DIN 7190
POLYGON CONNECTIONS P3G & P4C DIN 32711 & DIN 32712

Establish Standards, accelerate Engineering

MDESIGN provides a consistent basis for calculations across the entire team. Structured data entry, centrally maintained calculation bases, and consistent documentation ensure that results remain traceable and comparable across projects.

For over 40 years, MDESIGN has been helping companies calculate and design technical components—today with more than 35,000 users worldwide.

MDESIGN Software Interface
40+ Years of engineering experience
35,000+ Users worldwide
Shaft-Hub-to-hub connections

Determine the connection's performance limits

For Shaft hub-to-hub connections, the interplay of torque, geometry, contact pressure, and material determines how strong the connection actually is. MDESIGN calculates, among other things, transmissible torques, surface and flank pressures, joint pressure, required allowances, and safety factors. In addition, geometric parameters and transmissible axial forces can be determined. This allows more than just the verification of an existing connection. Designers can already make targeted assessments during the design phase to determine which geometry is required, where there is margin for improvement, and which variant makes more technical sense. This shortens the number of iterations, reduces unnecessary oversizing, and provides clarity more quickly for further Design.

Transmissible Torque
Safety factors
Area and Flank Pressure
Load-bearing Capacity Analysis
Joint pressure
Transmissible Axial Force
Required excess
Reference and Contact Voltages
Required Geometry
Effects of Temperature and Centrifugal Force

Select a connection type that is appropriate for the power rating and installation space

Depending on the application, different Shaft hub connections are used. Torque, installation space, mounting conditions, and the type of load significantly influence the selection of the appropriate connection.

It supports a wide range of form-fitting and force-fit connections, making it possible to compare different variants using a uniform calculation basis.

This makes it possible to compare alternatives earlier, identify technical limitations more quickly, and tailor connections more precisely to the specific application.

V-belt drive
Keyway connection
Split disc hub
Slotted lever hub
Tapered joint
Clamping Element Connection
Cylindrical Compression Bandage
Conical Compression Bandage
Gear shaft
Polygon Profile, P3G
Polygon Profile, P4C
Axial stress
Hirth · Curvic Coupling · Zyklo-Palloid NEW Planker gear teeth

Realistically Simulating Material Combinations and Contact Pressures

Shaft s and hubs often involve a combination of different materials, stiffness levels, and permissible compressive forces. Especially in press-fit assemblies, this combination directly influences the joint pressure that develops and the forces that can be transmitted.

MDESIGN provides comprehensive material data with the relevant properties needed for calculations. In addition, users can add and reuse their own materials, internal properties, and company-specific material data.

This allows real-world material combinations to be directly modeled and ensures that company-specific specifications are consistently incorporated into the design. This improves the comparability of calculations and reduces the effort required to repeatedly compile characteristic values.

Derive better connection designs from calculation results

MDESIGN compares torques, compressive forces, stresses, geometric values, and loads in such a way that the technical relationships become quickly apparent.

This not only makes it possible to determine whether a connection works. Design engineers can also see why a particular variant is reaching its limits and where a change would have the greatest effect—for example, in terms of diameter, oversize, material, or connection type.

This allows for more targeted development of variants, better utilization of installation space, and faster decision-making between different Shaft hub concepts.

Documentation and proof at the touch of a button

Automatically generate technical documentation.

All input data, standards, boundary conditions, results, and graphics are automatically compiled into a complete set of documentation. This results in transparent verification documentation for internal development, customers, testing organizations, or Manufacture.

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MDESIGN Shaft-Hub-to-hub connections

Features of the MDESIGN Shaft Hub Connections

The most important calculation modules are listed individually. Only technically closely related connections with comparable input values and results are presented together.

01

Calculation Bases & Standards

Calculation of various Shaft hub connections based on standards and the literature.

Depending on the type of connection, the appropriate standards, guidelines, and technical literature are used as the basis for calculations.

DIN 5464, DIN 5466, and DIN 5480 for toothed and splined shafts
DIN 6885 and DIN 6892 for keyed connections
DIN 32711 for P3G polygonal profile
DIN 32712 for P4C polygonal profile
DIN 7190-1 and DIN 7190-2 for press fittings
DIN 254 for tapered joints
Calculation based on the literature according to Roloff/Matek
Niemann/Winter/Höhn for Toothed Shaft Connections
Schlottmann for Axially Clamped Joints
Technical Basis for Planker Gears According to Grams
02

Toothed and Splined Shaft Connections

Geometric and load-bearing capacity analysis of profiled Shaft hub connections.

Splined and keyed shafts are calculated in terms of profile geometry, flank pressure, load distribution, and flank safety.

Input values

Connection Type
Module, number of teeth, and profile shift factor
Coverage diameter and effective length
Hub outer diameter and stepped hub geometry
Rated and Peak Torque
Service factor, load peaks, and load application point
Shaft , and Nabe Materials

Calculated Results

Head Circle Diameter
Flank center radius, effective radius, effective height, and effective angle
Hub Replacement Diameter and Calculation Factors
Equivalent and Maximum Flank Pressure
Limit stresses on the Shaft , and hub
Side-load safety for rated and peak torque
03

Planker gearing

Detailed load-bearing capacity calculation for Hirth-Gearings s with screw connections.

The Planker gearing is evaluated for central or decentralized bolting under combined axial, radial, torsional, and bending loads.

Input values

Gear type, inner and outer diameters
Number of teeth, engagement angle, foot radius, and head clearance
Wall thickness of the coupling housing
Preload forces
Axial forces
Shear forces
Torques
Bending Moments
Type of fastening, number of screws, and bolt circle
Screw and Coupling Materials and Stiffnesses
Minimum Safety Requirements for Tooth Root, Tooth Flank, and Screw Safety

Calculated Results

Complete tooth and contact geometry
Stiffness of Couplings and Screw Connections
Load distribution across the gear teeth, coupling, and bolts
Normal forces, tangential forces, and axial forces at the leading and trailing edges
Local tooth root stresses for symmetric and asymmetric loads
Tooth Flank Stress and Tooth Flank Safety
Safety against permanent failure and permanent deformation
Bolt Tension and Bolt Locking Agents
Residual normal force and verification against lifting of the trailing edge
Sample Results Chart
Sample results graph for a Planker gear
Sample graphical analysis—one of several available ways to present results.
04

Keyway connections

Calculation in accordance with DIN 6885 and DIN 6892 using Method B or C.

Keyway connections are evaluated in terms of effective geometry, surface pressure, and transmissible torques.

Input values

Various Calculation Methods for Strength Analysis
Shaft diameter and number of keyways
DIN profile, width, height, and groove depth
Keyway length and effective lengths
Hub outer diameter
Rated, peak, and frictional torque
Application factor and number of load peaks
Materials from Shaft, hub, and key

Calculated Results

Key Designation and Effective Lengths
Equivalent Torque and Circumferential Forces
Equivalent and Maximum Surface Pressure
Permissible surface pressure
Permissible Rated and Peak Torque
Safeties for equivalent and maximum torque
Sample Results Chart
Sample graph showing the results of a keyed joint
An example of a graphical analysis of the calculated connection.
05

P3G & P4C Polygon Profiles

Geometric and strength calculations in accordance with DIN 32711 and DIN 32712.

P3G and P4C profiles have a similar calculation structure and are therefore presented together.

Input values

Profile type P3G or P4C
Tire width or rim width
Constant-thickness, inner, and outer circle diameters
Eccentric Sizes
Pilot hole, grinding wheel diameter, and radii for P3G
Rated torque, application factor, and specified safety factor
Shaft , and Nabe Materials

Calculated Results

Standard-compliant profile dimensions for the Shaft , and hub
Cross-sectional area
Moments of Inertia and Resistance
Minimum hub wall thickness
Torsional stress
Existing, Permissible, and Maximum Surface Pressure
Existing protection against surface pressure
06

Cylindrical Compression Bandages

Calculation of longitudinal and transverse compression bracing systems in accordance with DIN 7190-1.

Cylindrical press fits are designed or verified based on interference fit, oversize, joint pressure, friction, and component stresses.

Input values

Type of joint
ISO Fit System and Tolerance Classes
Joint diameter, joint length, and component diameter
Surface Roughnesses
Coefficients of Friction for Slipping and Loosening
Torque and Axial Force
Design safety factors against slippage and plastic deformation
Materials and Optional Operating Temperatures

Calculated Results

Minimum and Maximum Overdimension
Effective excess capacity and flexible utilization
Achievable Joint Pressure
Transmissible Torque and Axial Force
Required press-fit force by joint type (longitudinal press-fit joint) and press-fit chamfer length
Joining temperature
Radial, tangential, and comparative stresses
Safeties against plastic deformation
Sample Results Chart
Sample graph showing the results of a cylindrical compression bandage
An illustrative graphical analysis of compression and stress distribution.
07

Conical Compression Bandages

Calculation of self-locking tapered press fits according to DIN 7190-2.

Conical compression joints are evaluated for resistance to slippage, loosening, and plasticization based on the slip distance, oversize, joint pressure, and the Safeties .

Input values

Effective cone diameter, joint length, and cone ratio
Outer and inner diameters of the components
Deflection Path
Surface roughness of the joint surfaces
Adhesion coefficients in the circumferential and longitudinal directions
Torque and Axial Force
Safety margins against slippage and plastic deformation
Materials Used for the Inner and Outer Parts

Calculated Results

Effective deferral method and effective excess
Average Joint Pressure
Slip torque and transmissible axial force
Clamping and Release Force
Tensions in " Shaft " and "Nabe"
Safeties to prevent slipping, loosening, and plasticization
Sample Results Chart
Sample graph showing the results of a conical compression bandage
An illustrative graphical analysis of the conical compression bandage.
08

Tapered Joints

Calculation based on published literature in accordance with * Roloff/Matek * and DIN 254.

Conventional tapered joints are calculated in terms of press-fit force, joint compression, interference fit, slide-on travel, and self-locking.

Input values

Large and small cone diameters
Cone length
Outer and inner diameters of the components
Friction coefficients to prevent slipping and loosening
Rated Torque and Application Factor
Safeties to prevent slippage and plastic deformation
Materials and Surface Roughness

Calculated Results

Cone Ratio, Cone Angle, and Angle of Friction
Minimum and maximum allowable travel distance
Required Press-in Force
Required and Permissible Joint Pressure
Minimum and maximum permissible clamping dimensions
Assessment of Self-Restraint
09

Clamping Element Connections

Selection and sizing of clamping elements based on torque or axial force.

Clamping elements are selected and evaluated based on the load, the available Shafts, and the hub geometry.

Input values

Solid or Hollow Shaft
Rated Torque and Axial Force
Application Factor
Installation Type
Hub Material

Calculated Results

Appropriate clamping element dimensions
Total width of the clamping assembly
Required outer hub diameter
Transmissible Torque and Axial Force
Seal compression at the Shaft , and hub
Required and Achieved Preload Force
10

Slotted lever hub & split disc hub

Screw-clamped hubs with comparable input and output values.

Both types of hubs are calculated according to Roloff/Matek based on joint compression, frictional engagement, and required clamping forces.

Input values

Hub type: slotted lever hub or split disc hub
Joint Length and Joint Diameter
Lever arms on the slotted lever hub
Adhesion coefficient and number of screws
Rated Torque and Application Factor
Safeties Prevents pinching and slipping
Assembly Preload Force
Shaft , and Nabe Materials

Calculated Results

Required or actual joint pressure
Permissible surface pressure
Existing protection against surface pressure
Required contact force per hub half
Minimum required clamping force per screw
Adjustment to the assembly preload
11

Axial stress

Calculation of axially prestressed clamped joints according to Schlottmann.

The joint is sized based on the friction surface, rated torque, and required clamping force.

Input values

Large and small friction surface diameters
Number of screws
Bore diameter
Coefficient of friction
Application factor and rated torque
Specified resistance to compression
Materials for Shaft and Hollow Shafts

Calculated Results

Average friction surface diameter
Bead width and contact patch
Existing surface pressure
Permissible and Maximum Surface Pressure
Existing protection against surface pressure
Required clamping force
12

Materials & Properties

Material data for Shaft, hub, key, screws, and fasteners.

The material selection is performed separately for each component involved, depending on the calculation module.

Material selection from the " MDESIGN" database
Shaft , and hub are made of different materials
Additional keyway material
Screw and Coupling Materials for Planker Gearings
Tensile Strength and Yield Strength or Yield Point
Modulus of elasticity and transverse contraction ratio
Temperature-Dependent Parameters
Surface Hardening and Heat Treatment Condition
Material Combinations and Proprietary Materials
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