A timber beam A B of length L and rectangular cross section carries a uniformly distributed load w and is supported as shown. (a) Show that the ratio τm / σm of the maximum values of the shearing and normal stresses in the beam is equal to 2 h / L, where h and L are, respectively, the depth and the length of the beam.(b) Determine the depth h and the width b of the beam, knowing that L=5 m w=8 kN / m, τm=1.08 MPa, and σm=12 MPa
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