Bolted joints

Bolt Preload Calculator

Determine bolt preload from tightening torque, thread geometry, and separate friction conditions.

ISO898
01

Bolt data

02

Results

Set the inputs and start the calculation.

Inputs and method

Calculate bolt preload

Derive achievable assembly preload from torque, thread geometry and friction.

Inputs

Tightening torque, nominal diameter, pitch, friction coefficients and tightening factor are required; property class limits allowable preload.

Target preload must preserve clamp force while staying below proof and yield limits. Pitch and friction split the torque; scatter is represented by the tightening factor.

Calculation

Invert the torque equation to obtain preload. Thread and bearing friction consume most of the applied torque.

Example

Doubling friction can strongly reduce calculated preload at unchanged torque.

Sources and limits: ISO 16047 and VDI 2230; check allowable assembly preload against ISO 898-1 and supplier data.

Technical article

Calculate bolt preload in detail

Derive achievable assembly preload from torque, thread geometry and friction.

What does this quantity describe?

Bolt calculations describe a joint through geometry, preload, friction and material limits. Preload clamps the parts; external load, embedding and temperature change the reserve.

Formula and variables

Invert the torque equation to obtain preload. Thread and bearing friction consume most of the applied torque.

Choose the inputs correctly

Tightening torque, nominal diameter, pitch, friction coefficients and tightening factor are required; property class limits allowable preload. Target preload must preserve clamp force while staying below proof and yield limits. Pitch and friction split the torque; scatter is represented by the tightening factor.

How to use the calculator

Enter the intended or measured tightening torque, thread nominal diameter and pitch, and thread/bearing friction coefficients. Compare the resulting preload against the allowable assembly preload for the property class.

Worked example

Doubling friction can strongly reduce calculated preload at unchanged torque.

Understand the result and units

Target preload must preserve clamp force while staying below proof and yield limits. Pitch and friction split the torque; scatter is represented by the tightening factor. A passing result means only that the selected model stays within the entered limits. Tightening scatter and real contact surfaces may govern residual clamp force.

Torque in N·m, diameter and pitch in mm, friction coefficients dimensionless, result in kN.

Typical applications

Estimating the preload achieved at a given assembly torque, or checking whether a workshop-standard torque for the specific bolt size produces sufficient clamp force at all.

Assumptions, limits and common mistakes

ISO 16047 and VDI 2230; check allowable assembly preload against ISO 898-1 and supplier data.

Common mistake: Don't treat the result as an exact value – it is an estimate from assumed friction coefficients. Also check the result against the property class's allowable assembly preload, since torque-controlled tightening at too high a torque can plastically stretch the bolt.

Frequently asked questions

Why is preload uncertain at the same torque?

Because friction consumes most of the torque and can scatter 20 to 30% even with careful assembly; only angle- or elongation-controlled tightening substantially reduces this scatter.

What is the tightening factor?

It accounts for the scatter of the chosen tightening method (e.g. impact wrench versus torque-controlled wrench) when setting allowable assembly preload.

How do I find my bolt's allowable assembly preload?

It follows from tensile stress area Aₛ and a fraction of yield or minimum tensile stress per ISO 898-1, typically 70 to 90% depending on tightening method and safety requirement.

Sources, method and review

  • ISO 16047 and VDI 2230; check allowable assembly preload against ISO 898-1 and supplier data.

Our method, source hierarchy and automated checks are documented on the methodology page. Read the methodology

Responsible
NormCalc-Redaktion
Last updated
2026-09-04
From torque to clamp load

What this calculator does

Tightening torque, thread size, bearing diameter, and friction coefficients estimate assembly preload.

The calculator inverts the same friction model as the torque calculator. It reveals how assumed friction shifts expected preload, but it does not replace measurement.

Typical tasks
  • Estimate preload from assembly torque
  • Study lubricant influence
  • Check plausible under- or over-preload
Design notes and follow-up standards

Check before release

01

Avoid false precision

Without tested friction data, actual preload is much less certain than the display suggests.

02

Choose measurement

For critical joints, consider direct or indirect preload measurement or monitored tightening.

03

Embedding loss

Preload immediately after assembly is not automatically the minimum clamp load retained in service.

Useful follow-up standards

01

ISO 16047

Determines actual torque/preload behaviour under defined test conditions.

02

VDI 2230 Part 1

Assesses tightening factor, embedding, and required minimum preload.

03

VDI 2230 Part 2

Extends single-bolt principles to multi-bolt joints.