

Problem 3: An assembly is composed of a 3/4 inch diameter structural steel rod welded to another rod of 3/8 inch diameter. It is subjected to axial forces as shown. Determine the change in length of each rod.

Solution: From Appendix B, the elastic modulus is 29 x 106 psi. The axial force in CB is 1.5 kips (tension):

The axial force in AB, considering a cut at a-a', is 1.5 - 2.4 = -0.9 kips (compression). Noting that the deflection of A is zero,