Statistics and experiments reveal that the mechanical failure of a spherica
l catalyst under single-particle crushing strength and bulk crushing streng
th tests are both brittle fracture and the fact that the single particle st
rength data follow a Weibull distribution. A model is proposed for the pack
ing of spherical particles, which assumes tetrahedral contact and force tra
nsmission between the spheres. A deduction from this packing is that the br
oken percentage of spheres during bulk strength measurement follows the rel
ationship of the Weibull equation. Experimental results confirm this conclu
sion, which relates the single particle property and the bulk behavior of t
he packed bed of catalytic materials.