Structural & Mechanical

Bolt Torque & Tension Calculator

Estimate metric bolt tensile stress area, target preload and installation torque using a user-selected nut factor.

The fitters are installing M24 bolts. What torque should I place on the drawing?
Preliminary screeningUse this result to screen and frame the problem—not to approve regulated or high-consequence work.
Core formulae

Bolt torque and preload reference

Stress areaA_s = (π/4)(d − 0.9382 p)²
Target preloadF = A_s × σ_proof × preload%
Torque estimateT = K F d

K is a torque coefficient influenced by friction, lubrication, coatings and the bearing surface.

Simple arrangement sketch

Preloaded bolt

TF preload
1

Choose the bolt

Common metric coarse-thread sizes fill diameter and pitch automatically.

Thread geometry inserted automatically24 mm diameter · 3 mm pitchSelect custom input for fine threads or special fasteners.
2

Choose the bolt strength and target preload

Property-class values are editable starting points. Verify the actual fastener specification and certificate.

3

Choose the friction condition — this sets K

K is a torque coefficient. It is not the bolt grade and it is not a safety factor.

What the selected K meansCentre K = 0.2 · sensitivity 0.150.25Use the sensitivity band. Do not issue the centre value as an exact torque setting.
How should I choose K?

Use “I do not know” when the actual bolt, nut, washer, coating and lubricant combination has not been verified. Read the torque band, not only the centre value.

Use a preset only for preliminary screening. For a critical joint, use supplier data, an approved tightening procedure, or test the actual installation combination.

Results

Torque-tension estimate

Estimated installation torque687 N·m
Torque sensitivity band515–859 N·m

Same target preload across the entered low/high K values.

Target bolt preload143.1 kN
Tensile stress area352.5 mm²
K sensitivity width50 % of centre torque

Shows why friction assumptions matter.

K is unknown — use the sensitivity band, not a single torque value

The same calculated target preload gives a wide torque range because friction condition has not been established.

Do not treat this as an exact drawing torque without an installation basis

Torque control is highly sensitive to friction and installation condition. For critical joints, establish the torque-preload relationship for the actual bolt, nut, washer, coating and lubricant combination.

Method

Approximate metric tensile stress area followed by target preload from the entered proof stress, then T = KFd. This calculator does not check joint separation, bolt fatigue, thread stripping, slip, prying or combined loading.

Job-file record

Save the calculation, not just the number.

Copy a permalink that reloads these inputs, or download a PDF record with inputs, visible results, assumptions, a sensitivity note, date and disclaimer.

Important boundary

A calculator can show the arithmetic. It cannot establish every requirement that applies.

Confirm the actual equipment, loading, materials, condition, jurisdiction, contractual requirements, standard edition and current project documentation before using the result for design, repair, testing or lifting decisions.

Ask an engineer about this calculation →