A hypothetical metal alloy has a grain diameter of 2.4 x 10-2 mm. After a heat treatment at 575°C for 500 min, the grain diameter has increased to 9.0 × 10-2 mm. Compute the time required for a specimen of this same material (i.e., do = 2.4 x 10-2 mm) to achieve a grain diameter of 5.5 × 10-2 mm while being heated at 575°C. Assume the n grain diameter exponent has a value of 2.2.
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- Questions: 1. Ceramic specimen has to be immersed in boiling water so as to ensure that water penetration into the pores is effective. State one alternative method that can be used to replace the immersion method in boiling water. 2. In this experiment, density is measured using the Archimedes principle. State one equipment that can be used to measure density of a material. 3. Can density of a powder specimen can be determined?If yes, state one suitable method.A 4-m-long steel plate with a rectangular cross section (10 mm * 50 mm) is resting on a frictionless surface under the sun. The plate temperature is meas-ured to be at 40°C. The plate is then moved into a cold room and is left to rest on a frictionless surface. After several hours, the plate temperature is meas-ured to be at 5°C. The steel has a modulus of elasticity equal to 200 GPa and a coefficient of thermal expansion equal to 1.1 * 10-5m/m/°C. a. What is the length of shrinkage?b. What tension load is needed to return the length to the original value of 4meters?c. What is the longitudinal strain under this load?A 4 meter long steel plate with a rectangular cross section (10 mm x 50 mm) is resting on a frictionless surface under the sun. The plate temperature is measured to be at 40°C. The plate is then moved into a cold room and is left to rest on a frictionless surface. After several hours, the plate temperature is measured to be 5°C. The steel has a modulus of elasticity equal to 200 GPa and a coefficient of thermal expansion equal to 1.1x10-5/°C. a. What is the length of shrinkage b. What tension load is needed to return the length to the original value of 4 meters? c. What is the longitudinal strain under this load?
- The band in the figure below is stainless steel (coefficient of linear expansion = 17.3 ✕ 10−6°C−1; Young's modulus = 18 ✕ 1010 N/m2). It is essentially circular with an initial mean radius of 5.4 mm, a height of 4.4 mm, and a thickness of 0.51 mm. If the band just fits snugly over the tooth when heated to a temperature of 81°C, what is the tension in the band when it cools to a temperature of 37°C?Using the intermolecular forces, explain why the freezing and melting point decreases when adding salt to water!A sample of metal having a rectangular cross-section; a width of 10.00 in. and a thickness of 0.25 in. is cold worked to a final width of 9.50 and a thickness of 0.20 in. If the plastic behavior of this sample is given by d=100,000€0.5 psi, determine the new yield strength of the sample after cold working.
- A 4-meter-long steel plate with a rectangular cross section (10×50) mm is resting on a frictionless surface under the sun. The plate temperature is measured to be at 40°C. The plate is then moved into a cold room and is left to rest on a frictionless surface. After several hours, the plate temperature is measured to be at 5°C. The steel has a modulus of elasticity equal to 200,000 MPa and a coefficient of thermal expansion equal to 1.1×10-5m/m/°C. a. What is the length of shrinkage? b. What tension load is needed to return the length to the original value of 4 meters?A gold-alloy microbeam attached to a silicon wafer behaves like a cantilever beam subjected to a uniform load (see figure). The beam has a length L = 24.5 um and rectangular cross section of a width b = 4.0 pm and thickness t = 0.88 um. The total load on the beam is 14.9 µN. If the deflection at the end of the beam is 1.53 um, what is the modulus of elasticity E, of the gold alloy (in GPa)? (Use the formulas of this example. The beam has constant flexural rigidity EI.) GPaA ceramic sample with a rectangular section can support a load of up to 290 N under a common strength test for ceramics. Its flexural strength is then 78.3 MPa and the distance between support points is 45 mm. What would be the dimensions of this sample if its width were twice its height?
- A cylindrical specimen of a metal alloy 47.5 mm long and 9.72 mm in diameter is stressed in tension. A true stress of 397 MPa causes the specimen to plastically elongate to a length of 54.3 mm. If it is known that the strain-hardening exponent for this alloy is 0.2, calculate the true stress (in MPa) necessary to plastically elongate a specimen of this same material from a length of 47.5 mm to a length of 55.8 mm. i MPaPROBLEM 4: As shown in the diagram shown, there is a gap of 0.5 mm between the rods at 10°C. Determine the stress in each rod if the temperature is raised to 150°C. The properties of each material are shown in the diagram. 0.5 mm FINAL ANSWERS 300 mm -250 mm MPa O alum O steel MPа Aluminum Stainless steel A = 2000 mm2 E = 75 GPa a = 23 × 10-6°C A = 800 mm? E = 190 GPa 17.3 x 10-6/°CCalculate the ductility of a tested material in terms of percent elongation and percent reduction of area. The test result data is as follows:?? = 8 ???? = 9.67 ???? = 0.198 ???? = 0.0888 ??