A weight W = 20 kN falls through a height h = 1.0 mm onto the midpoint of a simple beam of length L = 3 m (see figure). The beam is made of wood with square cross section (dimension d on each side) and E = 12 GPa. If the allowable bending stress in the wood is σallow = 10 MPa, what is the minimum required dimension d?

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し2 L-2