Dropping the board just once is often enough--the acceleration during impact is
a = g*(height of fall)/(crumple distance)
which can easily be thousands of times g, especially on hard floors.
Our server blades have to pass a 3000g shock test, which is really tough if there's no compliant layer (such as paste or liquid metal) between the HS and the processor. C4 balls are under a lot of static stress to begin with (although little ones with under 500 connections are easier than large ones).
Cheers,
Phil Hobbs