calculatorbrowser-only

Bolt Preload Calculator

Calculate preload from torque, torque from preload, proof-load based preload, bolt stress area, and simple bolt/joint stiffness load share.

Bolt Preload inputs

Result section

warningpreload-from-torque

Estimated preload from torque

41.6667 kN

Secondary results

Tensile stress area: 8.42664e-5 m^2
Preload from torque: 41.6667 kN
Torque from preload: 96 N·m
Proof-load based preload: 37.9199 kN
Bolt tensile stress from selected preload: 494.464 MPa
Joint stiffness factor C: 0.2
Added bolt load per bolt: 2 kN
Member clamp reduction per bolt: 8 kN
Joint separation load per bolt: 50 kN

Unit conversion summary

Unit-normalization summary: 0.012 m; 100 N*m; 40,000 N

Warnings

Calculations are performed locally in your browser and are not submitted to a third-party calculation API.
Material properties vary with grade, condition, temperature, manufacturing process, loading direction, heat treatment, applicable standard, and data source. Verify all properties for the actual material.
These calculations are preliminary scalar mechanics checks and do not certify design adequacy.
No prying, eccentricity, gasket behavior, embedment, relaxation, preload scatter distribution, or bolting-standard implementation is included.

Assumptions

Simplified concentric bolt-joint spring model.
Nut factor is user-entered and can vary widely with friction and tightening conditions.

Calculation steps

Calculate tensile stress area8.42664e-5 m^2
Calculate torque-preload41,666.7 N from entered torque
Calculate joint load share0.2
Calculate separation load50,000 N

Bolt torque-preload and joint load share

T=K F_i d; C=k_b/(k_b+k_j)

T = K Fi d; As = pi/4(d - 0.9382p)^2; C = kb/(kb+kj); Psep = Fi/(1-C).

Fi = 100 N*m / (0.2 x 0.012 m)

C = kb / (kb + kj) = 0.2

Technical visual

Engineering interpretation

Torque-derived preload is only an estimate. Critical joints need controlled tightening methods, validated design procedures, and inspection.

What is the bolt preload calculator?

This calculator estimates bolt preload from the torque-preload relationship, tensile stress area from metric thread geometry, proof preload, and simple bolt/joint stiffness load sharing. Torque-preload scatter can be large.

How to use the bolt preload calculator

Choose the bolt calculation mode that matches the hand calculation you want to perform.
Enter geometry, loads, material values, and units from a consistent source.
Review the primary result, secondary values, formula substitution, assumptions, and warnings.
Use the related-tool links only as a workflow aid; verify every transferred value before design use.

Input explanations

Nut factor K is a user-entered empirical factor and can vary substantially with lubrication, coating, thread condition, and tightening method.
Tensile stress area uses the approximate metric formula As = pi/4 (d - 0.9382p)^2.
Joint load share uses C = kb / (kb + kj) for a simplified concentric joint model.
Proof stress and preload fraction must come from the actual bolt grade or design basis.

Notation

Formula notation
Symbol	Meaning	Unit
T	Tightening torque	N*m
K	Nut factor	-
Fi	Bolt preload	N
As	Tensile stress area	m^2
C	Joint stiffness load fraction	-

Worked examples

T = 100 N*m, K = 0.2, and d = 12 mm gives estimated preload 41666.7 N.

Fi = 40 kN, P = 10 kN, kb = 1, and kj = 4 gives C = 0.2 and final bolt load 42 kN.

The same joint has separation load Fi / (1 - C) = 50 kN.

Cross-tool workflow

The bolt workflow connects tightening estimates, stress checks, joint separation review, and machine-component design limitations.

Use bolt stress in Factor of Safety Calculator Compare with weld workflow

Common mistakes

Treating tightening torque as a precise preload measurement.
Using nominal shank area instead of tensile stress area for threaded sections.
Ignoring embedment, relaxation, prying, eccentricity, gasket effects, and thermal loading.
Using this simplified model as a complete bolted-joint standard implementation.

Limitations

Simplified concentric joint only.
No prying, eccentricity, gasket model, embedment, relaxation, preload scatter distribution, VDI 2230 implementation, or code compliance.
Torque-preload estimates are highly uncertain and must be verified for critical joints.

References

Shigley's Mechanical Engineering Design: Budynas and Nisbett, Shigley's Mechanical Engineering Design.
Machinery's Handbook: Machinery's Handbook reference material for machine-element formulas and terminology.
NIST SP 811: NIST Special Publication 811, Guide for the Use of the International System of Units.

What is bolt preload?

Bolt preload is the clamping force created by tightening the bolt.

What is the nut factor?

The nut factor is an empirical torque-preload coefficient affected by friction, lubrication, coating, and geometry.

Why is torque-preload uncertain?

Most tightening torque is lost to friction, so small friction changes can cause large preload scatter.

What is joint stiffness factor?

It is the fraction of external tensile load added to the bolt in a simplified bolt-member spring model.

What causes joint separation?

Separation occurs when external load removes the compressive clamp load in the members.

Does this include prying?

No. Prying and eccentricity require a more detailed joint model.

Does this implement a bolting standard?

No. It is a preliminary mechanics helper only.

Professional support from ScholarEase Consultancy Services LLP

Professional FEA, simulation setup, solid-mechanics calculations, mechanical-design review, technical documentation, and research support are available through the connected services website. These calculators remain free to use without purchasing services.

Visit ScholarEase

Engineering disclaimer

This tool is intended for educational, estimation, and preliminary engineering use. It does not certify designs or replace applicable codes, standards, validated software, physical testing, or qualified professional engineering judgment.

Need Professional Support?

ScholarTool is powered by ScholarEase Consultancy Services LLP. Professional engineering, simulation, research, and technical documentation support is available through the connected services website.

Visit ScholarEase

Last reviewed: 2026-06-30

Loading ScholarTool content...

Bolt Preload inputs

Result section

warningpreload-from-torque

Estimated preload from torque

41.6667 kN

Secondary results

Tensile stress area: 8.42664e-5 m^2
Preload from torque: 41.6667 kN
Torque from preload: 96 N·m
Proof-load based preload: 37.9199 kN
Bolt tensile stress from selected preload: 494.464 MPa
Joint stiffness factor C: 0.2
Added bolt load per bolt: 2 kN
Member clamp reduction per bolt: 8 kN
Joint separation load per bolt: 50 kN

Unit conversion summary

Unit-normalization summary: 0.012 m; 100 N*m; 40,000 N

Warnings

Calculations are performed locally in your browser and are not submitted to a third-party calculation API.
Material properties vary with grade, condition, temperature, manufacturing process, loading direction, heat treatment, applicable standard, and data source. Verify all properties for the actual material.
These calculations are preliminary scalar mechanics checks and do not certify design adequacy.
No prying, eccentricity, gasket behavior, embedment, relaxation, preload scatter distribution, or bolting-standard implementation is included.

Assumptions

Simplified concentric bolt-joint spring model.
Nut factor is user-entered and can vary widely with friction and tightening conditions.

Calculation steps

Calculate tensile stress area8.42664e-5 m^2
Calculate torque-preload41,666.7 N from entered torque
Calculate joint load share0.2
Calculate separation load50,000 N

Bolt torque-preload and joint load share

T=K F_i d; C=k_b/(k_b+k_j)

T = K Fi d; As = pi/4(d - 0.9382p)^2; C = kb/(kb+kj); Psep = Fi/(1-C).

Fi = 100 N*m / (0.2 x 0.012 m)

C = kb / (kb + kj) = 0.2

How to use the bolt preload calculator

Choose the bolt calculation mode that matches the hand calculation you want to perform.
Enter geometry, loads, material values, and units from a consistent source.
Review the primary result, secondary values, formula substitution, assumptions, and warnings.
Use the related-tool links only as a workflow aid; verify every transferred value before design use.

Input explanations

Nut factor K is a user-entered empirical factor and can vary substantially with lubrication, coating, thread condition, and tightening method.
Tensile stress area uses the approximate metric formula As = pi/4 (d - 0.9382p)^2.
Joint load share uses C = kb / (kb + kj) for a simplified concentric joint model.
Proof stress and preload fraction must come from the actual bolt grade or design basis.

Symbol

Meaning

Unit

Tightening torque

N*m

Nut factor

Bolt preload

Tensile stress area

m^2

Joint stiffness load fraction

Common mistakes

Treating tightening torque as a precise preload measurement.

Using nominal shank area instead of tensile stress area for threaded sections.

Ignoring embedment, relaxation, prying, eccentricity, gasket effects, and thermal loading.

Using this simplified model as a complete bolted-joint standard implementation.

References

Shigley's Mechanical Engineering Design: Budynas and Nisbett, Shigley's Mechanical Engineering Design.

Machinery's Handbook: Machinery's Handbook reference material for machine-element formulas and terminology.

NIST SP 811: NIST Special Publication 811, Guide for the Use of the International System of Units.

Bolt Preload inputs

Calculation mode

Bolt geometry and joint load

Result section

Secondary results

Unit conversion summary

Warnings

Assumptions

Calculation steps

Bolt torque-preload and joint load share

Technical visual

Engineering interpretation

What is the bolt preload calculator?

How to use the bolt preload calculator

Input explanations

Notation

Worked examples

Cross-tool workflow

Common mistakes

Limitations

References

Related tools

Professional support from ScholarEase Consultancy Services LLP

Print summary

Engineering disclaimer

Need Professional Support?

Bolt Preload inputs

Calculation mode

Bolt geometry and joint load

Result section

Secondary results

Unit conversion summary

Warnings

Assumptions

Calculation steps

Bolt torque-preload and joint load share

Technical visual

Engineering interpretation

What is the bolt preload calculator?

How to use the bolt preload calculator

Input explanations

Notation

Worked examples

Cross-tool workflow

Common mistakes

Limitations

References

Related tools

Professional support from ScholarEase Consultancy Services LLP

Print summary

Engineering disclaimer

Need Professional Support?