A long circular bronze rod of radius r, = 10 mm is inserted into a thick-walled...

 

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A long circular bronze rod of radius r, = 10 mm is inserted into a thick-walled long steel cylinder of inner radius and outer radius r, = 20 mm. At room temperature (25 °C), the bronze rod and the steel cylinder have frictionless contact without gap. When the temperature is increased to 225 °C, please answer the following questions: (1) Please find out all the stress components in the bronze rod. (2) Please find out the distribution of nonzero stress components in the steel cylinder as a function of the radius r(r,srsr,). ( 3) Please find out the maximum von Mises stress in the steel cylinder and its position. Please use the following material properties. Youngs Modulus GPa Bronze 70 Steel 210 Poisson's ratio Co of thermal exp ppm/°C 18 0.34 0.30 10 A long circular bronze rod of radius r, = 10 mm is inserted into a thick-walled long steel cylinder of inner radius and outer radius r, = 20 mm. At room temperature (25 °C), the bronze rod and the steel cylinder have frictionless contact without gap. When the temperature is increased to 225 °C, please answer the following questions: (1) Please find out all the stress components in the bronze rod. (2) Please find out the distribution of nonzero stress components in the steel cylinder as a function of the radius r(r,srsr,). ( 3) Please find out the maximum von Mises stress in the steel cylinder and its position. Please use the following material properties. Youngs Modulus GPa Bronze 70 Steel 210 Poisson's ratio Co of thermal exp ppm/°C 18 0.34 0.30 10

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