Question: A trimetallic bar is uniformly compressed by an axial force P = 9 kips applied through a rigid end plate (see figure). The bar consists

A trimetallic bar is uniformly compressed by an axial force P = 9 kips applied through a rigid end plate (see figure). The bar consists of a circular steel core surrounded by brass and copper tubes. The steel core has diameter 1.25 in., the brass tube has outer diameter 1.75 in., and the copper tube has outer diameter 2.25 in. The corresponding moduli of elasticity are Es = 30,0000 ksi, Eb = 16,000 ksi, and Ec = 18,000 ksi.
Calculate the compressive stresses Ïƒs, Ïƒb, and sc in the steel, brass, and copper, respectively, due to the force P.

Copper tube Brass tube Steel core 1.25 in. 1.75 in. 2.25 in.

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