BEAM BUSTER FROM NZ

• To: Multiple recipients of list FOREST <FOREST@LISTSERV.FUNET.FI>
• Subject: BEAM BUSTER FROM NZ
• From: "CENTENO . JULIO CESAR" <jcenteno@CIENS.ULA.VE>
• Date: Tue, 5 Mar 1996 06:36:53 +0000
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Our friend robinsot@liro.fri.cri.nz
recently posted an interesting beam problem
which does not seem to have received an answer.

PROBLEM 1244  of BERMAN's COLLECTION
   A log 20 m long is in the form of a frustum of a cone, the
   base diameters of which are 2 m and 1 m respectively. We
   want to cut out a beam from the log with a square cross-
   section and the same axes as the log, the volume of the
   beam being a MAXIMUM. What will be the dimensions of the
   beam ?

SIZE: 94.2927 CM ON EACH SIDE [94.3 IN PRACTICAL TERMS]
LENGTH: 1,333 CM, MEASURED FROM THE LARGER END
VOLUME: 11,851,851.30 CM3

It is however a pretty inefficient beam, due to
its shape. Too much material to generate the moment
of inertia.

Regards,

Julio Cesar Centeno
Venezuela

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