A tension member is to be constructed of two pieces of plastic glued along plane pq (see figure). For purposes of cutting and gluing, the angle must be between 25° and 45°.
The allowable stresses on the glued joint in tension and shear are 5.0 MPa and 3.0 MPa, respectively.
(a) Determine the angle θ so that the bar will carry the largest load P. (Assume that the strength of the glued joint controls the design.)
(b) Determine the maximum allowable load Pmax if the cross-sectional area of the bar is 225 mm2.

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