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Bolt Torque Calculator

Install torque to reach a target preload. Pick a size and proof strength, set the nut factor K, and read the recommended and maximum torque and the resulting bolt tension.

About Bolt Torque

Tightening a bolt converts applied torque into preload (clamp force). The short-form relationship is T = K · d · F, where K is the nut factor, a single empirical number that lumps together thread friction, bearing friction, and geometry. Because friction scatters from part to part, the achieved preload for a given torque typically varies ±25–35%, which is why this is a preliminary tool.

The target preload is taken as a fraction of the bolt's proof load Fp = Sp · At: recommended = 0.75·Fp (reused / non-permanent joints) and maximum = 0.90·Fp (near-proof, permanent joints). These are the Shigley / Machinery's Handbook recommended preload values (0.75·Fp reused, 0.90·Fp permanent). They are conventional design points; a future revision will make the factor user-adjustable for your application.

Nut factor K presets
Nonplated / black0.3
Zinc-plated0.2
Lubricated0.18
Anti-seize0.12

Standards used:ASME B1.1 (tensile stress area), Shigley & Machinery's Handbook (proof load and nut factor K). Material strength presets are first-pass handbook values flagged for review; auto-filled but editable.

Preliminary / convenience use only. Verify all values against your governing material spec and standard before design release.

Bolt

(d)
-in
(n)
tpi

Editable; auto-filled from Size.

Auto-fills Proof Strength; editable. Custom clears it.

(Sp)
psi

Bolt proof strength. Required to compute.

Bolt with diameter callout

Load & Friction

(P)
lb

External axial load on the joint (default 0).

(K)

Advanced users only; K depends on lubrication / coating. Common: 0.30 nonplated, 0.20 zinc, 0.18 lubricated, 0.12 anti-seize.

Auto-fills the coefficient of friction μ; editable. Optional, drives the slip check.

(μ)

Sliding friction between the clamped surfaces. NOT the same as K (nut factor).

Bolt in tension under an applied load
Preload assumptions±25% uncertainty · 10% relaxation

Brackets the nominal preload into a min / max range.

(%uncert)
%

Tightening scatter in the achieved preload. Standard value: 25%.

(%relax)
%

Long-term preload loss (embedment / creep). Standard value: 10%.

Thread engagementfor the record; not used in the torque result (v1)
(L)
in

Length of thread engagement in the receptacle.

Auto-fills Yield Strength; editable. Custom clears it.

(Sy)
psi

Receptacle material yield strength.

Tapped block with engagement length callout

bolt torque · torque · preload · clamp force · nut factor · K factor · proof strength · tensile stress area · fastener · install torque · tightening · ASME B1.1