HISTORICAL DRAWING · 1955

Hook-and-loop fastening

How large a bonded engagement area carries an assumed shear load?

G. de Mestral, US 2,717,437 "Velvet Type Fabric and Method of Producing Same" (hook-and-loop)
G. de Mestral, US 2,717,437 "Velvet Type Fabric and Method of Producing Same" (hook-and-loop). View the original source and attribution ↗

A contemporary sketch model

Every number below is a modern illustrative assumption. The historical drawing supplies a question; the source model is an exercise in reasoning about it.

area = 20 cm^2 in 5..40 "Illustrative engaged area"
shearStrength = 5 N/cm^2 ± 20% "Assumed tested shear capacity per area"
load = 50 N "Illustrative application load"
safety = 2 "Assumed sizing factor"
capacity := area*shearStrength [N]
required := load*safety [N]
check hold: capacity >= required
sweep Engagement: area = 5, 20, 40 cm^2

Model limits

Uniform static shear with an empirical strength; no peel mechanics, individual hook contact, fatigue or textile modeling.

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