question archive The strength of a beam is proportional to the width and the square of the depth

The strength of a beam is proportional to the width and the square of the depth

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The strength of a beam is proportional to the width and the square of the depth. A beam is cut from a cylindrical log of diameter d = 30 cm. The figures show different ways this can be done. Express the strength of the beam as a function of the angle θ in the figures. (Use k as your proportionality constant.) 

 

S(θ) =

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