Flange Bolt Torque Calculator

ASME PCC-1 Preload, tightening torque, and nut factor
Coarse-thread series
Preload stress on the tensile area
Dry ≈ 0.20 · lubricated 0.12–0.16 · PTFE/moly ≈ 0.10 (threads & nut face)

Formula & Engineering Reference

T = K × F × D
F = σtarget × As

The nut factor K is derived from the friction coefficient with the long-form (Motosh) torque equation, then K = T/(F·D):

T = F · [ P/2π + μ·rt/cos30° + μ·rn ]  — pitch + thread-friction + bearing-friction terms
SymbolVariableUnit (SI)
TTightening torqueN·m
KNut factor (derived)
FBolt preload (clamp tension)N
DNominal bolt diameterm
σTarget bolt stressMPa
AsTensile stress areamm²
μFriction coefficient (thread & nut)
rt, rnThread pitch radius, nut bearing radiusm

Stress area: As = (π/4)(D − 0.9382·P)² metric / (D − 0.9743·P)² unified. Bearing radius rn ≈ 0.625·D.

M20 stud, target stress 350 MPa, friction μ = 0.15 (lightly lubricated).

Stress area As = 245 mm², so preload F = 350 × 245 = 85.7 kN. Pitch dia d₂ = 18.38 mm, pitch P = 2.5 mm, rn = 12.5 mm.

T = 85,700 × [0.0025/2π + 0.15×0.00919/cos30° + 0.15×0.0125] = ≈ 331 N·m, which corresponds to a nut factor K = T/(F·D) ≈ 0.193 — right in the expected band for lightly lubricated steel. Note how the two friction terms dwarf the small pitch term.

Torque control is approximate. Because K depends on friction that scatters bolt to bolt, torque sets preload only to roughly ±25–30%. Where accuracy matters, bolt-tensioning or angle (turn-of-nut) control is more reliable.

Lubricate consistently. The two friction terms carry about 90% of the torque, so the assumed μ must match reality. Apply the specified lubricant to both the threads and the nut bearing face, and use one μ for all bolts in the joint.

rn is an estimate. The under-nut bearing radius is taken as 0.625·D, a standard approximation for a regular hex nut or bolt head on a washer. A larger washer face or spotface shifts rn and therefore K — refine it for critical joints.

Target stress is a joint decision. The bolt stress you aim for must seat the gasket and hold the flange without overload, typically 40–70% of bolt yield refined by the ASME PCC-1 assembly approach. This tool computes the torque for a stress you choose; it does not check the gasket or flange.

Follow a tightening pattern. A flange is tightened in a cross (star) pattern over several passes to seat the gasket evenly and counter the elastic interaction that relaxes already-tightened bolts. The final-pass torque is the number this calculator gives; PCC-1 covers the sequence and increments.

T = K·F·D. The preload F is the target stress times the tensile stress area, and K is the nut factor. This tool derives K from the friction coefficient using the long-form torque equation (pitch + thread friction + bearing friction).

K bundles geometry and friction into one coefficient linking torque to preload. Around 0.20 dry, 0.15–0.18 lubricated, below 0.13 with PTFE/moly. Its scatter is why torque control of preload is only ±25–30%.

About 10% in a typical lubricated joint. Roughly 40% is lost in thread friction and 50% under the turning nut. That is why friction — and lubrication — dominate the torque required for a given preload.

Usually 40–70% of bolt yield, set to seat the gasket without overstressing the bolt or crushing the gasket, and refined by the ASME PCC-1 assembly approach. The exact value depends on the gasket, flange rating, and bolt material.

Torque mostly fights friction, and friction is the largest part of the equation. Lubricating threads and the nut face lowers μ, cutting the torque needed for a target preload and tightening the scatter for more consistent joint loads.

It uses the same basis — preload from stress × area and torque from the nut-factor relation — and derives K from friction. PCC-1 also covers the assembly procedure (pattern, increments, relaxation), which a single torque value does not. Use this for the number, PCC-1 for the method.

Bolt Torque Engineering Guide

3 topics  •  Preload, friction & ASME PCC-1

Tightening a bolt is really about one thing the wrench never measures directly: preload, the tension stretched into the bolt that clamps the joint together. Torque is just the convenient proxy we use to get there, and the link between the two is surprisingly loose. Most of the torque you apply never reaches the bolt as tension at all — it is burned off as friction in the threads and under the nut. Understanding that relationship is the difference between a flange that seals for years and one that leaks on start-up.

The working equation, T = K·F·D, hides all of that friction inside a single nut factor K. Pull K apart with the long-form torque equation and you can see exactly where the torque goes and why lubrication matters so much. This guide covers how preload is set from a target stress, how the nut factor is built from friction, and why ASME PCC-1 treats bolting as a procedure rather than a single number.

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