### Find the cross-sectional dimensions of the beam

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##### Reference no: EM131144953

A beam of uniform rectangular cross section is to be cut from a log having a circular cross section of diameter 2a. The beam is to be used as a cantilever beam to carry a concentrated load at the free end.

Find the cross-sectional dimensions of the beam which will have the maximum bending stress carrying capacity using an exterior penalty function approach with analytical unconstrained minimization.

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