A bimetallic thermal control is made of cold-rolled yellow brass and magnesium alloy bars (Figure P15 -12). The bars are arranged with a gap of 0.005 in. between them at 72 °F. The brass bar has a length of 1.0 in. and a cross-sectional area of 0.10 in2, and the magnesium bar has a length of 1.5 in. and a cross-sectional area of 0.15 in2. Determine (a) the axial displacement of the end of the brass bar and (b) the stress in each bar after it has closed up due to a temperature increase of 100°F. Use at least one element for each bar in your finite element model.

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Brass Magnesium - 8=0.005 in. – 1.0 in.- -1.5 in.-