Diving Board Failure

MediumPractice Problems

106.Diving Board Failure

+10

A uniform, light diving board of length

L

is bolted to the deck at its rear edge (

x=0

) and rests on a narrow fulcrum at

x=L/4

. A diver of weight

W

stands at the free end (

x=L

). The board is brittle and will crack at the location of greatest tensile stress. At which point and on which surface does the crack first appear?

ATop surface, at

x=0

BTop surface, at

x=L/4

CBottom surface, at

x=L/4

DTop surface, just below the diver, at

x=L

EBottom surface, midway between fulcrum and diver, at

x=L/2

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