The strength of a beam varies as the pr...

The strength of a beam varies as the product of its breadth b and square of its depth d. A beam cut of a circular log of radius r would be strong when

`b=d =r/2`

`b^2=r/2sqrt2=d`

`d=sqrt2 b= sqrt(2//3)* 2r`

`d= sqrt3 b = sqrt(3//2)* 2r`

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