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Q1: 1. Label the following as positive or negative. (5 pts) a) (C b) c) d) See Answer
Q2: 1) Determine the diameter of the pin which will provide a factor of safety of 1.5 guarding against yielding [9 Marks] Part (a) of the figure below shows a knuckle joint with a pin inside it. This joint is subject to a fluctuating load F varying between 0 N and 6000 N in tension. Assume the loading on the rotatable pin is modeled as concentrated force as shown in part (b) of the figure (Free-body-diagram). The shaft is made from AISI1018 hot-rolled steel that was machined to its final diameter. The fatigue stress concentration factor is set to unity. Based on a stress element on the outer surface at the cross-section A:See Answer
Q3: A cylindrical specimen of a brass alloy having a length of 96 mm (3.780 in.) must elongate only 4.80 mm (0.1890 in.) when a tensile load of 90000 N (20230 lb;) is applied. Under these circumstances what must be the radius of the specimen? Consider this brass alloy to have the stress-strain behavior shown in the Animated Figure 6.12.See Answer
Q4: A cylindrical rod of copper (E = 110 GPa, 16 x 106 psi) having a yield strength of 240 MPa (35,000 psi) is to be subjected to a load of 6650 N (1495 lbp). If the length of the rod is 370 mm (14.57 in.), what must be the diameter to allow an elongation of 0.52 mm(0.02047 in.)?See Answer
Q5: An alloy to be used for a spring application must have a modulus resilience of at least 0.82 x 10 J/m (0.82 x 10° Pa). What must beits minimum yield strength (in MPa)? Assume that the modulus of elasticity for this alloy is 101 GPa.See Answer
Q6: Arrange the following cross-section in order of increasing second area moment about their respective horizontal axes. Assume that each cross-section has the same area. (5 pts) See Answer
Q7: Determine the Miller indices for the planes shown in the following unit cell (a=b=c). (+8) See Answer
Q8: Linda obtained the stress-strain curves of three different materials, A, B, and C as given below. Please answer the following question. Which material is the stiffest? A B CSee Answer
Q9: If the specific surface energy for soda-lime glass is 0.30 J/m2, using data contained in Table 12.5, compute the critical stress (in MPa) required for the propagation of a surface crack of length 0.05 mm. See Answer
Q10: Here is a schematic portion of extrinsic semiconductor (Si dopedwith boron (B)) showing the valence electron distribution. Thisextrinsic semiconductor is formed by pre-deposition of B and drive-in diffusion methods. B is first introduced to Si by pre-depositionstep following the Fick's second rule. During this doping step, thesurface concentration of B remained constant as 5.44 ×1025 atoms/m3 and B atoms diffused into Si at 1200°C for 10 h.The concentration profile of B follows the equation given below.The background concentration of B (Co) in Si is 2 x 1019 atoms/m³. surface concentration of B remained constant as 5.44 x1025 atoms/m³ and B atoms diffused into Si at 1200°C for 10 h.The concentration profile of B follows the equation given below.The background concentration of B (Co) in Si is 2 x 1019 atoms/m3. What is the concentration (atoms/m3) of B at 2 um below thesurface of Si? (+15)See Answer
Q11: Q4 Phosphorus atoms are to be diffused into a silicon wafer using both predeposition and drive-in heat treatments;the background concentration of Pin this silicon material is known to be 5 × 1019 atoms/m³. The predeposition treatment is to be conducted at 950°C for 45 minutes; the surface concentration of P is to be maintained at a constant level of 4.5 × 1026 atoms/m³. Drive-in diffusion will be carried out at 1200°C for a period of 2.5 h. For the diffusion of P in Si, values of Qa and Do are 3.40 eV and 1.1 × 10^-4 m²/s, respectively.To solve this problem, you will need to make yourself familiar with equations 5.11, 5.12 and 5.13 from the book: C(x, t)=\frac{Q_{0}}{\sqrt{\pi D t}} \exp \left(-\frac{x^{2}}{4 D t}\right) Q_{0}=2 C_{s} \sqrt{\frac{D_{p} t_{p}}{\pi}} x_{j}=\left[\left(4 D_{d} t_{d}\right) \ln \left(\frac{Q_{0}}{C_{B} \sqrt{\pi D_{d} t_{d}}}\right)\right]^{1 / 2} Equation 5.11 (Solution for Fick's 2nd law for drive- in diffusion) Equation 5.12 (predeposition) Equation 5.13 (drive-in diffusion) a) Calculate the value of Qo (total amount of impurities). (3 marks) b) Determine the value of xj (junction depth) for the drive-in diffusion treatment. (3 marks) c) Also, for the drive-in treatment, compute the position x at which the concentration of P atoms is 10^24 m^-3.(3 marks)See Answer
Q12: A tension test of a material results in the stress-strain diagram below. See Answer
Q13: 5. In order to design the geometry of a mold cavity, total solidification time needs to be calculated for the directional solidification. For the design in figure below, the Tst (riser)=10 min. (9') (1) Select a choice below with suitable TSTfor the sphere and the cube that satisfiesdirectional solidification: (a) Tst (cube) = 5min, Tst (sphere)7min; (b) Tst (cube)5min;= 7min, TST (sphere)= O Based on your selection, if riser is the cylinder with height of 0.1m and diameter of 0.1m, calculate theradius r of the sphere and the side length a of the cube, respectively. (Assume Cm is a constant, n=2)See Answer
Q14: Q7 Nichrome materials are alloys consisting of Nickel and Chromium. They are widely used for resistant heating wires in applications like toasters, space heaters or hair dryers. Answer the following questions about the Ni-Cr phase-diagram shown below. Express all compositions as Cr-x wt.% Ni, e.g. the eutectic composition (which is explicitly shown in this particular diagram) would be written as Cr-49 wt.% Ni. a) Label all regions on the phase diagram with their corresponding phases, using the following labels: \begin{array}{l} \mathrm{L} \\ \alpha(\mathrm{Cr}) \\ \beta(\mathrm{Ni}) \\ \mathrm{Ni}_{2} \mathrm{Cr} \end{array} b) Consider a composition of Cr-22 wt.% Ni. What is the chemical composition (in wt.%) of the very first solid to appear in a liquid alloy of this overall composition that is cooled slowly from 1800°C.? (2 mark) c) At what temperature does this solid begin to form in the liquid? (1 mark) d) For the same composition alloy: (3 marks) e) For the same alloy: (3 marks) I.What are the compositions (in wt.%) of the two phases present at 1600°C? II.What are the relative fractions of the two phases that are present at 1600°C? I.What are the compositions (in wt.%) of the two phases present at 900°C? II.What are the relative fractions of the two phases that are present at 900°C? f) What is the lowest temperature a fully liquid Cr-Ni alloy can exist at and what is the composition of that liquid? (1 mark)See Answer
Q15: A cylindrical specimen of aluminum having a diameter of 12.8 mm and a gauge length of50.800 mm is pulled in tension. Use the load-elongation characteristics shown in the following table to determine the following: (a) Plot the data as engineering stress versus engineering strain (using excel sheet and plots). (b) Compute the modulus of elasticity. (c) Determine the yield strength at a strain offset of 0.002. (10 (d) Determine the tensile strength of this alloy. ( (e) What is the approximate ductility, in percent elongation? ( (f) Compute the modulus of resilience. (5 See Answer
Q16: A bar of a steel alloy that exhibits the stress-strain behavior shown in the Animated Figure 6.22 is subjected to a tensile load; the specimen is 375 mm (14.8 in.) long and has a square cross section 5.5 mm (0.22 in.) on a side. (a) Compute the magnitude of the load necessary to produce an elongation of 0.525 mm (9.021 in.). (b) What will be the deformation after the load has been released?See Answer
Q17: A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 55 MPa v m (50 ksivin.)55 MPam (50 ksiin.). If, during service use, the plate is exposed to a tensile stress of 200 MPa (29,000 psi) determine the minimum length (in m) of a surface crack that will lead to fracture. Assume a value of 1.0 for Y. See Answer
Q18: Progress For the tempered steel alloy whose stress-strain behavior can be observed in the "Tensile Tests" module of Virtual Materials Science and Engineering (VMSE), determine the following: (a) the approximate yield strength (0.002 strain offset), (b) the tensile strength, and (c) the approximate ductility, in percent elongation.See Answer
Q19: Find the toughness (or energy to cause fracture) for a metal that experiences both elastic and plastic deformation. Assume Equation6.5 for elastic deformation, that the modulus of elasticity is 172 GPa (25 x 10° psi), and that elastic deformation terminates at a strain of 0.010. For plastic deformation, assume that the relationship between stress and strain is described by Equation 6.19, in which the values for K and n are 6900 MPa (1x 106 psi) and O.28, respectively. Furthermore, plastic deformation occurs between strain values of 0.010 and 0.72, at which point fracture occurs.See Answer
Q20: The maximum recommended speed for a 250-mm-diameter abrasive grinding wheel is 2000 rev mii.Assume that the material is isotropic; use a bore of 20 mm, v =0.24, and a mass density of3320 kg/m', and find the maximum tensile stress at this speed.See Answer

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