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Known axial & shear loads

Single-bolt loading

Ftd

Inputs

Nominal unthreaded shank diameter used for the direct stress screen.
Direct known axial tension carried by this one bolt.
Direct known transverse shear carried by this one bolt.
Direct load transferred through one stated bearing interface.
Loaded plate or washer thickness used for projected bearing area.

Results

Nominal shank tensile stressσ

70.736

Nominal shank shear stressτ

35.368

Projected bearing stressσb

62.5

Plane-stress equivalentσe

93.574

σ = Ft/(πd²/4); τ = Fs/(πd²/4); σbearing = Fb/(dt)

A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.

Nearby: Axial response · Beam deflection & reactions · Elastic stability · Solid-shaft torsion

Method

Formula, when it applies, and when it does not

Calculate nominal shank tensile stress, shear stress, direct bearing stress, and a plane-stress equivalent for one user-defined bolt and bearing interface.

σ = Ft/(πd²/4); τ = Fs/(πd²/4); σbearing = Fb/(dt)

When

  • One bolt
  • Known direct loads
  • Nominal shank area
  • Centric bearing interface

Don’t

  • This is a single-bolt, known-direct-load screen using nominal shank and projected bearing areas. It excludes threads/tensile-stress area, preload, joint stiffness, load distribution, eccentricity, friction, slip, prying, washer geometry, proof/yield allowables, fatigue, tear-out, thread stripping, and factor-of-safety conclusions.

SAND2008-0371, Guideline for Bolted Joint Design and Analysis (Sandia)