Which preposition to use with shortenings

of Occurrences 27%

So Claudius was led out, and the first to be asked his opinion was Father Janus: he had been made consul elect for the afternoon of the next first of July,[Footnote: Perhaps an allusion to the shortening of the consul's term, which was done to give more candidates a chance of the honour.]

for Occurrences 3%

In addition to the flour each received a piece of bacon or fat meat, from which they got the shortening for their biscuit.

at Occurrences 1%

D = total shortening at elastic limit, inches.

due Occurrences 1%

Roller bearings should be placed between the bearing blocks and the knife edges of the crosshead to allow for the shortening due to flexure.

on Occurrences 1%

As a result the shortenings on the upper side of the beam become considerably greater than the elongations on the lower side.

Which preposition to use with  shortenings