Vein Integrity Calculator
Critical Shear Force for Kintsugi-Style Metallic Seams
Governing Equation:
Fc = μ × A × k
Where:
• μ = Shear Modulus (GPa)
• A = Joint Cross-Sectional Area (mm²)
• k = Geometric Interlock Factor (dimensionless, 0.7–1.4)
Source: Q901396 (Shear Strength), Q2740942 (Kintsugi Technique)
Fc = μ × A × k
Where:
• μ = Shear Modulus (GPa)
• A = Joint Cross-Sectional Area (mm²)
• k = Geometric Interlock Factor (dimensionless, 0.7–1.4)
Source: Q901396 (Shear Strength), Q2740942 (Kintsugi Technique)
Worked Example: Shrewsbury Prototype
Scenario: Repairing a fractured ceramic pressure vessel with 22k gold-copper alloy.
Given: μ = 38 GPa, A = 23.5 mm², k = 1.2 (moderate interlock)
Computation:
Fc = 38 × 10⁹ Pa × 23.5 × 10⁻⁶ m² × 1.2
Fc = 1.069 × 10⁶ N = 1.07 MN
Result: Seam withstands 109 tonnes before shear failure.
Status: WITHIN SPECIFICATION
Scenario: Repairing a fractured ceramic pressure vessel with 22k gold-copper alloy.
Given: μ = 38 GPa, A = 23.5 mm², k = 1.2 (moderate interlock)
Computation:
Fc = 38 × 10⁹ Pa × 23.5 × 10⁻⁶ m² × 1.2
Fc = 1.069 × 10⁶ N = 1.07 MN
Result: Seam withstands 109 tonnes before shear failure.
Status: WITHIN SPECIFICATION