The simply supported beam is built up from three boards by nailing them together as shown. The wood has an allowable shear stress of τ_allow= 1.5 MPa, and an allowable bending stress of σ_allow= 9 MPa. The nails are spaced at s = 75 mm, and each has a shear strength of 1.5 kN. Determine the maximum allowable force P that can be applied to the beam.

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m- m- .100 mm 25 mm 25 mm 200 mm | 25 mm