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.
How to use the calculator
Select thread size or enter the tensile stress area Aₛ directly, choose the property class and the desired fraction of proof stress. The calculator returns the resulting proof force.
Worked example
Aₛ = 58 mm² at 600 MPa proof stress gives 34.8 kN.
Understand the result and units
Aₛ converts a material proof stress into force for the actual thread. Property class is essential: the same size can have a very different proof force in another class. 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.
Area in mm², stress in MPa, result in kN.
Typical applications
Assessing how much reserve a chosen assembly preload has relative to the normative proof force, or reviewing test reports referencing ISO 898-1.
Assumptions, limits and common mistakes
ISO 898-1 specifies mechanical properties and proof stresses for metric bolts.
Common mistake: Don't use the proof force as an allowable operating or assembly preload – it is a normative test value close to yield strength and above what's sensible for continuous-duty preload. Don't confuse proof stress with tensile strength; both differ by property class.
Frequently asked questions
What distinguishes proof force from yield strength?
Proof stress is normatively set slightly below the property class's guaranteed minimum yield strength; proof force is the force at which the bolt must just barely show no relevant permanent deformation.
What fraction of proof stress should I choose for assembly preload?
Common values are 70 to 90% of proof stress, depending on tightening method and its scatter; the applicable standard or design guideline governs.
Does the same proof force apply to every bolt of the same nominal size?
No, it depends directly on the property class – an 8.8 bolt has a noticeably lower proof force than a 12.9 bolt of the same size.