The rigid bar CDE is attached to a pin support at E and rests on the 30 mm diameter brass cylinder BD. A 22-mm-diameter steel cylinder AC passes through a hole in the bar and is secured by a nut which is snugly fitted when the temperature of the entire assembly is 20 °C. The temperature of the brass cylinder is then raised to 50 °C while the steel rod remains at 20 °C. Assuming that no stresses were present before the temperature change, determine the stress in the cylinder. Cylinder AC: Steel (E = 200 GPa, a = 11.7 x 10-6/ °C) Cylinder BD: Brass (E = 105 GPa, a = 20.9 x 10-6/ °C) Further consider cylinder AC an unpressurized steel storage tank having outer diameter of 250 mm, wall thickness of 5 mm and ultimate strength of 420 MPa. Determine the maximum height h to which it can be filled with water if factor of safety 4 is required. Density of water is 9810 N/m3.
The rigid bar CDE is attached to a pin support at E and rests on the 30 mm diameter brass cylinder BD. A 22-mm-diameter steel cylinder AC passes through a hole in the bar and is secured by a nut which is snugly fitted when the temperature of the entire assembly is 20 °C. The temperature of the brass cylinder is then raised to 50 °C while the steel rod remains at 20 °C. Assuming that no stresses were present before the temperature change, determine the stress in the cylinder.
Cylinder AC: Steel (E = 200 GPa, a = 11.7 x 10-6/ °C)
Cylinder BD: Brass (E = 105 GPa, a = 20.9 x 10-6/ °C)
Further consider cylinder AC an unpressurized steel storage tank having outer diameter of 250 mm, wall thickness of 5 mm and ultimate strength of 420 MPa. Determine the maximum height h to which it can be filled with water if factor of safety 4 is required. Density of water is 9810 N/m3.
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