A composite component is comprised of a tube and a concentric rod running inside it, both with a length of 1.5 meters. The tube is made of copper and has inner and outer diameters of 60 mm and 100 mm, respectively, a coefficient of thermal expansion and elastic modulus of 17 ×10−6? and 117 GPa, respectively. The rod is made of aluminium with a diameter, coefficient of thermal expansion and elastic modulus of 50 mm, 23 ×10−6? and 80 GPa, respectively. If the composite is exposed to a temperature rise of 120°C, determine: 1.1 The sense and magnitude of the stresses induced in the composite if it is not restrained. 1.2 The sense and magnitude of the stresses induced in the composite if it is partially restrained with an allowed free expansion of 0.3 mm.
1.A composite component is comprised of a tube and a concentric rod running inside it, both with a length of 1.5 meters. The tube is made of copper and has inner and outer diameters of 60 mm and 100 mm, respectively, a coefficient of thermal expansion and elastic modulus of 17 ×10−6? and 117 GPa, respectively. The rod is made of aluminium with a diameter, coefficient of thermal expansion and elastic modulus of 50 mm, 23 ×10−6? and 80 GPa, respectively. If the composite is exposed to a temperature rise of 120°C, determine:
1.1 The sense and magnitude of the stresses induced in the composite if it is not restrained.
1.2 The sense and magnitude of the stresses induced in the composite if it is partially restrained
with an allowed free expansion of 0.3 mm.
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