A square prismatic bar of 1300-mm2 cross-sectional area is composed of two pieces of woo...

A square prismatic bar of 1300-mm² cross-sectional area is composed of two pieces of wood glued together along the x’ plane, which makes an angle  Θ with the axial direction (Fig. 1.6a). The normal and shearing stresses acting simultaneously on the joint are limited to 20 and 10 MPa, respectively, and on the bar itself, to 56 and 28 MPa, respectively. Determine the maximum allowable axial load that the bar can carry and the corresponding value of the angle Θ