Two bars-one made of a hybrid (brass + steel) material, the other made of a new...
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Two bars-one made of a hybrid (brass + steel) material, the other made of a new copper alloy-are connected and placed between two rigid walls as shown. The hybrid bar is constructed out of an otherwise-solid brass cylinder with steel reinforcements through its entire length, as shown. The cross section of the reinforcements is regular and consistent along their entire length. The bars were installed at 6am when the temperature was T. By midday, the temperature rose to T. d Hybrid material a Use the following values in your working out: a = 430 mm b = 310 mm c = 5 mm Note the following material properties: Young's Modulus Coefficient of Thermal Expansion Yield Strength* * Compressive and tensile d = 62 mm d = 29 mm Copper T = 12 C T = 27 C Steel 200 GPa 12 x 10-6/C 250 MPa Steel Brass 100 GPa 21 x 10-6/C 70 MPa Brass Reinforcements have a square section Copper 120 GPa 17 x 10-6/C 100 MPa a) Determine the internal force in both the hybrid and copper bars. (1.5 marks) b) At what temperature will one of the materials first yield? Assume the temperature will only ever be above T (1 mark) Two bars-one made of a hybrid (brass + steel) material, the other made of a new copper alloy-are connected and placed between two rigid walls as shown. The hybrid bar is constructed out of an otherwise-solid brass cylinder with steel reinforcements through its entire length, as shown. The cross section of the reinforcements is regular and consistent along their entire length. The bars were installed at 6am when the temperature was T. By midday, the temperature rose to T. d Hybrid material a Use the following values in your working out: a = 430 mm b = 310 mm c = 5 mm Note the following material properties: Young's Modulus Coefficient of Thermal Expansion Yield Strength* * Compressive and tensile d = 62 mm d = 29 mm Copper T = 12 C T = 27 C Steel 200 GPa 12 x 10-6/C 250 MPa Steel Brass 100 GPa 21 x 10-6/C 70 MPa Brass Reinforcements have a square section Copper 120 GPa 17 x 10-6/C 100 MPa a) Determine the internal force in both the hybrid and copper bars. (1.5 marks) b) At what temperature will one of the materials first yield? Assume the temperature will only ever be above T (1 mark)
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Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
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