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Shear Stress

Stress acting parallel to a surface, tending to cause sliding deformation between adjacent material layers.

Theory

Shear stress τ = F/A where F acts parallel to area A. Shear modulus G = τ/γ (γ = shear strain). For isotropic materials G = E / [2(1+ν)]. Pure shear causes angular distortion without volume change. The Tresca and von Mises yield criteria both depend on accurate shear stress determination.

Application

In FDM, interlayer bonds fail primarily in shear. Z-direction shear strength is typically only 30-60% of XY. Fastener holes, press-fits, and adhesive joints transfer loads in shear. Torsion generates shear across cross-sections, critical for shafts and axles.

Common mistakes

Shear failure is often sudden with no visible warning. For a rectangular cross-section, shear stress is parabolic, not uniform: τ = F/A underestimates peak shear at the neutral axis by 50%. Design adhesive bonds for shear loads rather than tensile loads where possible.

Related terms: Stress, Von Mises Stress, Torsion, Young's Modulus

Fieldmechanics, engineering
Also calledTangential Stress

Engineer, author of The Big Book of 3D Printing and additive manufacturing expert