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Consider an assembly of an inner rod and an outer pipe shown in Figure 2.1. The rod-diametercontinuous rod is made of steel and fixed onto rigid walls at A and

C. The LBC-long aluminum pipe is welded to the rod between B and C so that the applied load PR at B is carried by both the inner rod and outer pipe. The cross-sectional dimensions of segment BC are given in the cross-sectional view along a---a in the figure, right. The elastic moduli of the steel rod and aluminum pipe are Est and Eal, respectively. Find mathematical expressions for the reactive forces at A and C for the given Pg as well as the given axial and cross-sectional dimensions of the assembly in the figure. a) Use a compatibility condition (see section 4.4 in the textbook). a)b) Use the force method of analysis (see section 4.5 in the textbook).

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