Problem

Two wooden members of uniform rectangular cross section of sides a = 100 mm and b = 60 mm...

Two wooden members of uniform rectangular cross section of sides a = 100 mm and b = 60 mm are joined by a simple glued joint as shown. Knowing that the ultimate stresses for the joint are σU = 1.26 MPa in tension and τU = 1.50 MPa in shear and that P = 6 kN, determine the factor of safety for the joint when (a) α = 20°, (b) α = 35°, (c) α = 45°. For each of these values of α, also determine whether the joint will fail in tension or in shear if P is increased until rupture occurs.

Fig. P8.58

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