Calculate the magnitude of the stresses that are induced in the copper bar and aluminium rod if the composite bar is exposed to a temperature change of 500 oC, and state their senses. 2 Calculate the elongations of the constituents of the composite bar.
question 2 temperature stresses
A composite bar is comprised of a concentric circular rod of copper and a tube of aluminium, each of length 500 mm, that are attached rigidly to above one another at both ends. The diameter of the copper rod is 30 mm, while the inner and outer diameters of the aluminium rod are 50 and 60 mm, respectively. The Young’s modulus and coefficients of thermal expansion for copper and aluminium are given as, 120 GPa and 80 GPa, and17 × 10−6 oC and 23 × 10−6/ o?, respectively
Please show all formulas and substitutions into formulas
1 Calculate the magnitude of the stresses that are induced in the copper bar and aluminium rod if the composite bar is exposed to a temperature change of 500 oC, and state their senses.
2 Calculate the elongations of the constituents of the composite bar.
Two Principles allow us to calculate the parameters
- expansion of copper + compression of aluminum = difference of free lengths
- Tension in copper = compressive force in aluminum
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