Adhesive lap joint — shear stress distribution (Goland & Reissner)

Minimum and maximum adhesive shear stress across a bonded lap joint (Goland & Reissner model), from plate thickness/stiffness, adhesive thickness/shear modulus, load per unit width and overlap length.

✓ validated against legacyoriginal: /calculators/lapjoint.htm
Adhesive lap joint — shear stress distribution (Goland & Reissner) — original diagram from /calculators/lapjoint.htm
Maximum shear stress, τ(L)37.84 MPa
Minimum shear stress, τ(L/2)1.73 MPa

No unit conversion is applied anywhere in the legacy source or this port — thicknesses/length in mm, moduli in GPa and load in N/mm are combined directly, a mixed-unit inconsistency kept exactly as in the original. The source also attempts to install a buggy hand-rolled "sinh" (actually computing cosh's formula) onto Math, but this has no effect in any modern JS engine since Math.sinh/cosh already exist as own properties that shadow the attempted prototype override — verified directly, see module header note — so this port correctly uses the real Math.sinh/Math.cosh, matching what the golden-master oracle actually executes.

Method & references

  • Goland and Reissner adhesive lap-joint shear-stress distribution.
  • Legacy page title reads "Eurocode 3 weld fatigue calculation", but the actual formula and figure on the page are the Goland & Reissner adhesive lap-joint model — see module header note.

The computation is a literal port of the original client-side JavaScript from /calculators/lapjoint.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.

Adhesive lap joint — shear stress distribution (Goland & Reissner) — Engineering ABC