Header image showing bolted joints with color-coded stress distribution on a bolt, set against a technical railway background.

Bolted joint calculation
for Maximum Technical Safety

Preload force
Documentation
Residual clamping force

Get more out of every screw connection

It is not the screw alone that determines the reliability of a connection. Only when preload, friction, components, assembly, and actual operating loads all interact does it become clear just how resilient the design really is.

MDESIGN makes these exact relationships predictable. This allows you to identify early on what works, where there is room for improvement, and which adjustments will optimize the design. Compliant with VDI 2230 or Eurocode 3.

Mechanical Engineering VDI 2230, Part 1
Steel Construction Eurocode 3

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

Calculate bolted joints under realistic conditions

A reliable bolt calculation takes more than just the bolt itself into account. Component geometry, materials, coefficients of friction, assembly conditions, temperatures, and external loads also influence the behavior of the joint. This allows critical load conditions to be identified early on and different design variants to be compared in a targeted manner. MDESIGN also makes it possible to tailor bolted connections specifically to the actual Design and its operating conditions. In addition to existing material data, users can enter their own material properties for bolts, plates, and locking elements.

Preload force
Residual clamping force
Fixed amount
Tensions
Safeties
Assembly
Load data
Additional staff
Tightening torque
Failure
Load capacity

Material Data for More Reliable Decisions

The load-bearing capacity of a bolted joint does not depend solely on the bolt. The clamped components, washers, and nuts also determine how forces are distributed and what load limits apply.

MDESIGN provides comprehensive material data, including relevant properties such as tensile strength, yield strength, and interfacial pressure.

Custom materials, internal properties, and company-specific material data can also be added and used centrally. This creates a unified database for recurring calculations and company-wide standards.

Types of Screws
A wide variety of screw types available directly in the calculation
MDESIGN supports the design and evaluation of a wide variety of screw types, ranging from classic standard fasteners to specialized designs.
Select screw sizes and strength classes directly from the included databases.
Various types of screws for screw design in MDESIGN

Understand Results and Refine Designs Systematically

MDESIGN presents the key results of the bolt calculation in a way that makes technical relationships quickly apparent. Preload forces, additional forces, stresses, surface pressures, and Safeties can be evaluated in context.

Based on this, designers can make concrete decisions regarding the further design process: identify critical areas, utilize design margins more effectively, compare variants more quickly, and avoid unnecessary oversizing. In this way, the calculation serves as a direct basis for more efficient development decisions.

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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PDF Proof
Includes standards
PDF automatically
CI customizable
Seamless CAD Integration

STEP Export directly from the Calculation

Components are modeled, analyzed, and evaluated in MDESIGN. The validated results can then be exported directly as STEP files and transferred to CAD systems. This ensures that the entire development process remains consistent—without any data discontinuities or the need for manual geometry transfer.

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STEP Export
STEP Export
MDESIGN Screw Design Calculations

Features of the MDESIGN Screw Calculation Tool

The most important calculation modules are listed individually. For each key application, the main input values and the results calculated from them are shown side by side.

01

Calculation Bases & Standards

Calculation of fastening and motion screws based on standards and the literature.

Depending on the calculation module, the appropriate guidelines, standards, and technical principles are used.

VDI 2230, Part 1: For High-Stress Bolted Joints
VDI 2230, Part 3 (Draft), for Mounting Parameters and the Rotation Angle Method
DIN EN 1993-1-8 for bolted joints in steel structures
DIN EN 14399 for high-strength, prestressable anchor systems
DIN EN ISO 4014, 4017, and 4762, as well as other screw standards
DIN EN ISO 898-1 and DIN EN ISO 3506-1 for strength parameters
DIN 103 for trapezoidal threads
DIN 513 for saw threads
02

Screw Connections According to VDI 2230

Detailed calculations for centrally and eccentrically loaded bolted joints.

The calculation systematically models the force, deformation, and preload conditions of a single-bolt connection.

Input values

Calculation Run: Draft or Recalculation
Push-through or screw-in connection
Screw type, thread type, nominal diameter, and length
Geometry and Materials of the Braced Components
Axial Force, Shear Force, Bending Moment, and Torque
Static or dynamic operational load
Number of oscillations
Thread production: heat-treated or cold-rolled/cold-formed
Centric or eccentric tension and stress
Expansion Joint Geometry, Force Transmission, and Bolt Arrangement
Friction coefficients, settlement, sealing pressure, and operating temperature
Tensioning Process, Tensioning Factor, and Utilization of the Yield Strength

Calculated Results

Clamping Length and Deformation Cone
Deformation of the screw and clamped parts
Force transmission factor and force ratio
Minimum clamping force and residual clamping force
Minimum and maximum installation preload force
Required tightening torque
Preload losses due to settling and temperature
Additional Screw Force and Maximum Screw Force
Axial reference stress
Maximum tensile stress and maximum bolt force
Torsional stress in the screw and torsional moment in the thread
Stress amplitudes for tensile stress, as well as tensile and bending stress
Safeties against flow, permanent fracture, sliding, and surface pressure
Safety in terms of durability, minimum screw-in depth, and resistance to shearing
Minimum screw-in depth
Break strength of the screw thread
Stripping force of the internal thread
03

Bolted Joints in Steel Construction

Verification of shear-, tensile-, and sliding-resistant connections in accordance with Eurocode 3.

Steel structure connections are rated according to categories A through E, as well as permissible combinations of shear and tensile connections.

Input values

Category of Shear and Tensile Connections
Category: Train Service
Tension-loaded, single-sided braced angle
Screw type: Standard, countersunk screw, or set screw
Screw standards: DIN EN ISO 4017, DIN EN ISO 4014, and DIN EN ISO 14399
Dimensions and Strength Class
Single- or double-cut configuration and position of the cutting plane
Hole Type and Hole Diameter
Number of screws in the x and y directions
Margin and Hole Spacing
Sheet Thicknesses and Liner Sheets
Shear forces in the x and y directions, as well as tensile force
Materials Used in Screws and Sheet Metal
Sliding Surface Class and Partial Safety Factors

Calculated Results

Shear Force and Tensile Force per Screw
Shear strength
Hole-to-jamb load-bearing capacity in the x and y directions
Friction Loss in GZG and GZT
Preload force for controlled preload
Tensile Strength and Punching Shear Resistance
Combined Shear and Tensile Strength Verification
Net Cross-Section and Block Failure
Utilization Rates for Individual Documents
Evaluation of the results
04

Console Connections

Calculation of cantilever-type bolted connections under bending, tensile, and shear loads.

The contact force generates a bending moment about the center of pressure, as well as a transverse stress distributed evenly across the screws.

Input values

Calculation Run: Recalculation or Transferable Bearing Force
Screw Size and Screw Cross-Section
Number of load-bearing screws
Maximum number of bolts subjected to tensile stress
Distances of the screws from the center of pressure
Lever arm of the applied force
Number of shear joints and minimum component thickness
Preload Force and Coefficient of Friction
Strength Class and Allowable Stresses

Calculated Results

Maximum transferable contact force
Bending moment about the center of pressure
Maximum tensile force in the most heavily loaded bolt
Maximum tensile stress
Shear force per bolt
Shear force at the boundary
Shear stress and hole wall pressure
Comparison with the permissible loads
05

Adjustable screws

Design and Verification of Trapezoidal and Sawtooth Threaded Screws.

Adjustable screws are calculated for compression, torsion, buckling, flank compression, self-locking, and efficiency.

Input values

Thread type: trapezoidal or serrated thread
Spindle length and core diameter
Number of threads and thread friction angle
Axial force or applied torque
Length of the female thread
Bearing Coefficient of Friction and Mean Friction Radius
Permissible Bending, Compressive, and Torsional Stresses
Material, Buckling Case, and Required Safety Level
Load case for separate or combined compression and torsion stresses

Calculated Results

Standard-compliant thread designations and thread dimensions
Required torque or transmissible axial force
Torsional Stress and Normal Stress
Required nut thread length
Existing thread flank pressure
Slenderness Ratio and Bending Stress
Protection Against Buckling
Verification of Self-Locking Capability
Efficiency During the Working Stroke
06

Screw Types & Fastener Geometries

Standard and custom screws, as well as various connection assemblies.

The screw geometry can be taken from standard data or specified on a project-by-project basis.

Hex screws with and without shanks
Hex socket head cap screws
Countersunk Screws
Flange bolts
Set screws and stud bolts
Threaded Pins
Hollow-Shank and Expandable-Shank Screws
Standard and fine threads
Metric and Imperial Screws
Push-through and screw-in connections
Washers and various support geometries
Custom screw geometries and dimensions
Locking elements (locking washers, wedge-locking washers, self-locking nuts)
07

Materials & Properties

Material data for screws, nuts, washers, and preloaded components.

Strength and temperature parameters are taken into account depending on the screw, component, and calculation module.

Strength Classes for Steel and Stainless Steel Screws
Tensile strength and yield point
Modulus of elasticity and coefficient of thermal expansion
Interfacial stress of the braced members
Shear strength of the screw and the internal thread
Materials for Screws, Nuts, and Washers
Materials Used for Braced Panels and Components
Temperature-Dependent Parameters
Material Data for Steel Structures
Custom Materials and Properties
08

Assembly

Determination of all necessary installation parameters, as well as documentation and monitoring.

Installation Instructions
Assembly Sheet
Assembly Supervision
Installation Documentation
Angle-Controlled Tightening Method
Torque-Controlled Tightening Method
09

Results & Analyses

Technical evaluation of forces, stresses, prestress, and load-bearing capacity.

The output results depend on the screw type, the joint, and the selected verification method.

Screw Forces, Clamping Forces, Additional Forces, and Preload Forces
Minimum and maximum preload force
Required Tightening Torques
Tensile, torsional, shear, and equivalent stresses
Surface pressures and hole wall pressures
Load-bearing capacities and utilization rates
Safeties against creep, permanent fracture, and long-term strength
Safeties to prevent slipping, lifting, and surface pressure
Preload losses due to settling and temperature
Bending, Self-Locking, and Efficiency Evaluation
Comparison of Existing and Permissible Values
Screw Functionality Diagram
Illustration of a tension cone
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Frequently Asked Questions

Frequently asked questions about screw design

Answers to important questions regarding the design of bolted joints, VDI 2230, and the calculation of preload, residual clamping force, and tightening torque.

Which standard is used to calculate bolted connections?

High-stress screw-in and through-hole connections in mechanical engineering are often designed in accordance with VDI 2230, Part 1. MDESIGN supports structured design and the necessary verifications based on the guideline.

What dimensions are determined in a bolt design calculation?

Key findings include installation preload, minimum preload, residual clamping force, additional bolt force, tightening torque, bolt stresses, surface pressures, and the required safeties.

What is the residual clamping force of a bolted joint?

The residual clamping force is the clamping force that remains under the operating load and after accounting for relevant losses of preload in the connection. It must be sufficiently high to ensure that the seam remains closed and the connection fulfills its function.

Can MDESIGN calculate the required tightening torque?

Yes. The required tightening torque is determined, among other factors, by the target preload force, the screw geometry, the installation method, and the assumed friction coefficients.

Are settlement losses and temperature changes taken into account?

Yes. Installation processes, surface conditions, different materials, and temperature changes can affect the prestressing force. These factors can be taken into account in the calculation and evaluated together.

Can we use our own screws and materials?

In addition to existing geometry and material data, custom screw geometries and company-specific material properties can also be added and used in the calculation.

Does MDESIGN provide a complete list of screws?

MDESIGN compiles input data, calculation bases, results, safeties, and graphical analyses into a transparent set of technical documentation. This documentation can be used, among other things, for development, approval, customer documentation, and quality assurance purposes.