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### Bolt Threads Any Length Force to Strip Bolt Threads Formula and Calculator

Bolt & Screw Torque Charts and Equations

Force Required to Strip the Bolt Threads Any Length Formula and Calculator

The thread engagement length L_{e} and the thread stress area A_{TS} are directly proportional to each other. It is,
therefore, very easy to compute stripping areas for engagement lengths other than nominal
diameter, D:

When thread engagement is equal to thread diameter or when L_{e} ≠ D

A_{TS}'
= ( Desired L_{e} / D ) · A_{TS}

Where

L_{e} = Desired length of thread engagement (in., mm)

D = nominal diameter of the bolt (in., mm)

A_{TS} = thread stress area (in^{2}, mm^{2})

ATS

A_{TS}' = Recalculated stripping area for a length of thread engagement greater to or less
than the nominal diameter of the fastener (D) (in^{2}, mm^{2}).

Equation 1

F_{St} = S_{u} *·* A_{TS}'

where

S_{u} = ultimate shear strength (psi, MPa) of the nut or bolt materials

A_{TS} = cross-sectional area (in.^{2}, mm^{2}) through which the shear occurs for a length of engagement equal to D

F_{St} = the force (lb, N) required to strip that length of threads of a bolt or nut

Tensile force required to break the bolt

*Equation 2*

*F _{Ten} = UTS · A_{S} *

Thread Stress Area

Metric M Series Thread Stress and Shear Areas * *

*UTS* = ultimate tensile strength of the bolt material ( psi, MPa )

*A _{S}* = the tensile stress area of the bolt ( in.

^{2}, mm

^{2})

*D*= nominal diameter of the bolt ( in., mm )

*n*= number of threads per inch

*F*the tensile force required to break the bolt ( lb, N )

_{Ten}=If the computed F_{St} is greater than *F _{Ten}* your deign is adequate.

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Reference:

Introduction to the Design and Behavior of Bolted Joints Non-Gasketed Joints, Forth Edition

Founding Editor

L. L. Faulkner

Columbus Division, Battelle Memorial Institute,

Department of Mechanical Engineering

The Ohio State University

Columbus, Ohio