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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: In Figure an alloy containing 53 wt % Ni and 47 wt % Cu is presented. Answer the following questions. )At 1350°C make a phase analysis assuming equilibrium conditions. What phases are present? (b) What is the chemical composition of each phase at 1300°C? , what is the weight percent of copper in theliquid and solid phases.? (c) What amount of each phase is present at 1300°C? See Answer
  • Q7: 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
  • Q8: For 2D positive pure bending, identify the location of the following. (6 pts) a) Max tension b) Max compressions c) Maximum shearSee Answer
  • Q9: 5. You need to design a beam cross-section to minimize weight. The beam is loaded as shown and cannot deflect more than 4 mm. Based on the operating conditions, you have already select Ti64 (E= 100 GPa) as your material and have identified the minimum web thickness as 5 mm. What is the minimum weight of your beam? Other material properties are: o, = 980 MPa, Tmax = 480 MPa, p =4.42 g/cc. Hint: QNA = A*YNA: (10pts) See Answer
  • Q10: 4. Given a symmetric beam subjected to pure bending, calculate the principle stresses (0p1, Op2, Op3) at the Neutral Axis and the top/bottom surface of the beam. Assume plane stress. (6 pts)See Answer
  • Q11: One of slip systems in BCC is on (110} plane along <111> directions. Mark or draw one of your (110} planes in BCC unit cell (+1 pt) and indicate two different<111> slip directions (+2 pts) on this plane with arrows. See Answer
  • Q12: Lisa cooled a sample with the composition corresponding to 'A' from 500 °C to 400°C for an enough length of time so that the sample follows the thermodynamic equilibrium phase changes. How many different phases (number, e.g. 1, 2, 3.) will she observe at 400 °C of A?See Answer
  • Q13: Determine the Miller indices for the planes shown in the following unit cell (a=b=c). (+8) See Answer
  • Q14: Q.3 The following expression states the definition of viscosity n for a large range of viscous materials \eta=\frac{\sigma}{d \varepsilon / d t} where o is the tensile stress and dɛ/dt the strain rate. Assume a 4 mm diameter rod of soda-lime glass (90 mm long) which is loaded with a tensile force of 1 N along its axis. If its deformation is to be less than 1 mm over a week's time, using the Figure below, determine the maximum temperature to which the specimen may be heated. (4 marks) See Answer
  • Q15: 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
  • Q16: When Lisa cooled a sample 'A' from 500 °C to 400 °C for an enough length of time so that the sample follows the thermodynamic equilibrium phase changes, list the name of phases that she will observe at 400 °C.See Answer
  • Q17: Lisa found a phase diagram for magnesium (Mg)-lead (Pb) as given below. She has two samples in the oven at 400 °C with different compositions, (1) Mg 90wt%/ Pb 10 wt% and (2) Mg 10 wt%/Pb 90 wt%. Fill the blank below. [blank:X] (1 or 2) will completely melt first if we raise the temperature of oven. See Answer
  • Q18: A single crystal with BCC structure is oriented for a tensile test. Tensile stress isapplied along [001] direction. Let's say the slip occurs in the (110) family of planes.Among these planes, list 'planes' (miller indices) that will not experience a resolvedshear stress. See Answer
  • Q19: 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
  • Q20: 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

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