F2023_M202_A5

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University of Alberta *

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202

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Mechanical Engineering

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Jan 9, 2024

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Assigned: Nov 3, 2023 Fall 2023 Assignment #5: 74 marks total Due: Nov 22, 2023, 4:00 PM 1. Define the following terms ( 2 marks each = 14 total) i) Phase ii) Eutectic iii) Eutectoid iv) Liquidus v) Solidus vi) Solvus vii) Microconstituent 1
Assigned: Nov 3, 2023 Fall 2023 Assignment #5: 74 marks total Due: Nov 22, 2023, 4:00 PM 2. Below is a binary eutectic equilibrium phase diagram of silver and copper (Ag-Cu). 2
Assigned: Nov 3, 2023 Fall 2023 Assignment #5: 74 marks total Due: Nov 22, 2023, 4:00 PM a. Complete the following chart for the given overall compositions and temperatures of interest (i.e., determine the PHASE CONSTITUTION which includes; phases present, their individual chemical composition and the relative amount of each phase present. (2 marks each = 20 marks total) . Note if the wt% Cu is 5 then the wt% Ag is 95 and so on and so forth. Cu (wt%) T (°C) Phase(s) Present wt% Cu of each phase Weight Fraction of each phase 5 900 5 400 15 800 28.1 780 28.1 778 28.1 400 50 780 60 778 95 778 95 400 3
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Assigned: Nov 3, 2023 Fall 2023 Assignment #5: 74 marks total Due: Nov 22, 2023, 4:00 PM 3. A 60 wt% Pb – 40 wt% Mg alloy is rapidly cooled (or “quenched”) to room temperature from an elevated temperature in such a way that the high-temperature microstructure is preserved. This microstructure is found to consist of the α phase and Mg 2 Pb phase, having respective mass fractions of 0.42 and 0.58. a Determine the approximate temperature from which the alloy was quenched. ( 2 marks ) b If slowly cooled, the Mg 2 Pb phase will form from the α phase, leading to precipitation hardening of the alloy. Determine an alloy composition (wt% Pb – wt% Mg) that will give the highest degree of precipitation hardening. What is the mass fraction for the Mg 2 Pb phase at room temperature in the alloy you have determined? ( 2 marks ) 4
Assigned: Nov 3, 2023 Fall 2023 Assignment #5: 74 marks total Due: Nov 22, 2023, 4:00 PM 4. Consider the Fe-C phase diagram below. 5
Assigned: Nov 3, 2023 Fall 2023 Assignment #5: 74 marks total Due: Nov 22, 2023, 4:00 PM a. Fill in the following table for each of the following. ( 2 marks each = 12 total ): i. Of eutectoid composition at 800°C and 720°C? ii. AISI 1045 at 750°C and 500°C? iii. AISI 1090 at 750°C and 500°C? C (wt%) T (°C) Phase(s) Present wt %C of each phase Weight Fraction of each phase 6
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Assigned: Nov 3, 2023 Fall 2023 Assignment #5: 74 marks total Due: Nov 22, 2023, 4:00 PM 5. A 2.0-kg specimen of an 85 wt% Pb–15 wt% Sn alloy is heated to 200°C (390°F); at this temperature it is entirely an α-phase solid solution. The alloy is to be melted to the extent that 50% of the specimen is liquid, the remainder being the α phase. This may be accomplished by heating the alloy or changing its composition while holding the temperature constant. a) To what temperature must the specimen be heated? ( 2 marks ) b) How much tin must be added to the 2.0-kg specimen at 200°C to achieve this state? ( 2 marks ) 7
Assigned: Nov 3, 2023 Fall 2023 Assignment #5: 74 marks total Due: Nov 22, 2023, 4:00 PM 6. A 65 wt% Ni–35 wt% Cu alloy is heated to a temperature within the α + liquid-phase region. If the composition of the α phase is 70 wt% Ni, determine: ( 2 marks each ) (a) The temperature of the alloy (b) The composition of the liquid phase (c) The mass fractions of both phases 8
Assigned: Nov 3, 2023 Fall 2023 Assignment #5: 74 marks total Due: Nov 22, 2023, 4:00 PM 7. Consider 1.5 kg of a 99.7 wt% Fe–0.3 wt% C alloy that is cooled to a temperature just below the eutectoid. ( 2 marks each ) (a) How many kilograms of proeutectoid ferrite form? (b) How many kilograms of eutectoid ferrite form? (c) How many kilograms of cementite form? 9
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Assigned: Nov 3, 2023 Fall 2023 Assignment #5: 74 marks total Due: Nov 22, 2023, 4:00 PM 8. A cylindrical rod of fully annealed 1040 steel (originally 15.2 mm in diameter) is to be cold worked by drawing; the circular cross section will be maintained during deformation but the final diameter must be 10 mm. A cold-worked tensile strength in excess of 850 MPa and a ductility of at least 12% EL are desired. Explain how this may be accomplished with cold working and annealing treatments only. Be as quantitative as possible. (8 marks total) • Assume that 1040 steel experiences cracking at ~50% cold work. • Identify the amount of cold work in each stage and the final diameter of each stage as appropriate. • You can only cold work and anneal the specimen (no hot work allowed!). (See figures below) 10