Bolted-joint preload

Why proof load and target preload are starting points, not a substitute for joint-specific tightening control.

ENGINEERING PRINCIPLE

Preload clamps the joint before service loading. The tensile stress area and proof strength establish an upper material-based reference load.

Fproof = AsSp; Fpreload = target × Fproof
Machine DesignVerifiedReviewed 2026-08-09

Variables and units

  • As = tensile stress area (mm²)
  • Sp = proof strength (MPa)
  • target = chosen fraction of proof load

Worked example

For As = 84.3 mm², Sp = 600 MPa and target = 70%, Fproof = 50.58 kN and target preload = 35.41 kN.

Calculation method

  1. Use the tensile stress area for the actual thread, not the shank area.
  2. Use a source-controlled proof-strength class.
  3. Select preload with the joint, tightening method and service load in view.

Practical applications

  • Machine joints
  • Flanged connections
  • Preloaded covers and brackets

Review boundary and reference

  • Torque does not uniquely determine preload because friction varies.
  • Joint stiffness, embedment, fatigue and tightening process need a dedicated analysis.

Formula and displayed units independently checked for the stated conditions. This is not a code-compliance design method.

Source: VDI 2230 bolted-joint principles and J. E. Shigley et al., Mechanical Engineering Design.

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