Asked by Manya

A beam of rectangular cross section is to be cut from a log 1.00 m
in diameter. The stiffness of the beam varies directly as the width
and the cube of the depth. What dimensions will give the beam
maximum stiffness?

Answers

Answered by oobleck
If the beam has dimensions x and y, then x^2+y^2 = 1
so the stiffness is
s = kx(1-x^2)^(3/2)
now find where ds/dx = 0
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