Problem 1.C5

A load P is supported as shown by two wooden members of uniform rectangular cross section that are joined by a simple glued scarf splice. (a) Denoting by ?U and ?U, respectively, the ultimate strength of the joint in tension and in shear, write a computer program which, for given values of a, b, P, ?U, and ?U, expressed in either SI or U.S. customary units, and for values of ? from 5 to 85° at 5° intervals, can calculate (i) the normal stress in the joint, (ii) the shearing stress in the joint, (iii) the factor of safety relative to failure in tension, (iv) the factor of safety relative to failure in shear, and (v) the over¬all factor of safety for the glued joint. (b) Apply this program, using the dimensions and loading of the members of Probs. 1.29 and 1.31, knowing that ?U = 150 psi and ?U = 214 psi for the glue used in Prob. 1.29 and that ?U = 1.26 MPa and ?U = 1.50 MPa for the glue used in Prob. 1.31. (c) Verify in each of these two cases that the shearing stress is maximum for ? = 45°.




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