2020APS110TestMCQSOLUTIONS

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University of Toronto *

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110H!

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Mechanical Engineering

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Dec 6, 2023

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24

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CONCEPT VERSION UNIVERSITY OF TORONTO FACULTY OF APPLIED SCIENCE AND ENGINEERING Multiple Choice Assessment Due: October 29t 2020 by 2359 Eastern Daylight Time (Toronto) First Year APS110 - INTRODUCTORY CHEMISTRY AND MATERIALS SCIENCE Exam Type: X (Open Book; Internet, if not communicated /posted during test: no communication with others) Examiners: M Kortschot, CQ Jia, SD Ramsay Note: as thes 13 a final assessmend, late submessions wnll not be accepled. This means that if you do not submit your responses successfully to Crowdmark by the deadline you will not be able to submit and you will need Lo submsl an official petilron. Therefore, il +s higyhly advisable thal you make plans to complete and submit your final responses 2-3 hours early. Instructions: ¢ You must correctly indicate your test version code on your the Microsoft [orm. If you do not, or [ill this in incorrectly, vour [inal assessment will not be graded. ¢ Answer all questions. e Fill in the answers on the Microsoft Form. Concept version Page 1 of 24
. oL Af: /.09~ /" + §HOwm : 4o (o )P« . yo(w"). 21 . gs(10*)P <= YO )gqo 6(!)« s 65 NMN& 1. Which of the following are the correct units for strain? (a)”Dimensionless b) mm (¢) m (d) inches Correct answers: (a)/ . The Abraham Lincoln DBridge, spanning the Ohio River from Louisville, Kentucky to Jeffersonville, Indiana, is designed with ex- pansion joints to provide for 1.04m of linear thermal expansion along the length of the bridge. Consider if this bridge had been built with- out these expansion joints and 1.04m of linear expansion occurred, but the bridge was rigidly [ixed at both ends, preventing this expan- sion. If the elastic modulus of the concrete in the bridge is 40 GPa and the compressive fracture strex of the concrete is 28 MPa, what stress would you expect to be imposed, _on the bridge? LTo'tc.\ S éqOM OJ\’/ (Expansion joint data from www.rjwatson.com/Projects/ohio-river- bridge-rjw-linger-joints, accessed October 25, 2020, Image [rom Censusdata at English Wikipedia, commons.wikimedia.org/wiki/ File:2016 WIKI_AbrahamLincolnBridgeLouKYJunel2.jpg, CC BY-SA 4.0 creativecommons.org/licenses/by-sa/4.0, via Wikimedia Commons.)) @ MPa 5] 21 MPa (c) 3MPa (d) 6 GPa Correct answers: (a) Concept version Page 2 of 24
/_—:;— ) &/ Cwol T SR o IRCE Y - [ ] _ O.D’L - b PpT7xcC 7 3. T'wo ropes are cut, the first to 1m in length and the second to 3m in length. Both pieces of rope are then stretched by 2 cm. What will 2 the ratio of the strain in the first to the strain in the second be? b Ore ‘g' - qual because strain is sample size independent - 3 ? Z(u)'l) (c) 0.33 ) 2 Correct answers: (a) \_/ -’) 4. Referring to the figure below, noting that both cylinders are made from the sai aterjal, which of the following statements are correct cvlinders ®A” and "B"? AII " B” lo RCLLDR (a) ABoth cylinders have the ame stress and the same strain F F . : E (b) Both cylinders have the | same stress only = (c) Both cylinders have the same strain only Iy+Al (d) Ir‘npossablg to detgrmme - from information provided PO " s ~ Cp - LY 4 Correct answers: (a) Concept version Page 3 of 24
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5. A sample of a heavily cold worked 316L stainless steel is heated for several hours in a furnace at 1065°C. The sample is then allowed to ¢ o room temperature. Relative to the value before the heat treatment, the Young’s modulus after this' heat t.roat.menét_swill be which of the following? Sow Heat Less v —=ne.ohen - ok S 5) Greater than (‘l'b Qron Size A b botend Spmly m v ? (d) Unable to determine with information provided Correct answers: (a) 6. A sample of a heavily cold worked 316L stainless steel is heated for several hours in a furnace at 1065°C. The sample is then allowed to cool to room temperature. Relative to the value before the heat treatment, the vield strength after this heat treatment, will be which of the following? I/’G‘;'i'o'( et T a) Less than Lsy, Chy ¥Rz Ghwe (b) Greater than\/ Lp grew she b Ly Gudots f 1> 6)'*9“,5%5'4\ The same as (d) Unable to determine with information provided Correct answers: (a) 7. A sample of a heavily cold worked 316L stainless steel is heated for several hours in a furnace at 1065°C. The sample is then allowed to cool_to room temperature. Relative to the value before the heat treatment, the plastic deformation at fracture after this heat treat- } N . . . . ? . ) ment will be which of the following’ ol NN % D *"""U v Greater than ess than The same as (d) Unable to determine with information provided Correct answers: (a) Concept version Page 4 of 24
8. Referring to the stress-strain curve below, which of the following is closest to the value for the yield strength? RS R R R LA A AN AN LR RN LA AR o) @ = e = o~ [ - ~ =] > =} = = = ) » - c o (=] = oD (=1 60 MPa ) 150 MPa (¢) 300MPa Concept version Page 5 of 24
9. Referring to the stress-strain curve below, which of the following is closest to the value for the ultimate tensile strength? 33 - %_‘-\\ % 4 0 : : : : i 2504 . - 0 .Fo,e 4 . (A : Rond*j - 200 ( [ -] - Dow» - c = L ——— 100 - —4 4 e RS RREES RN RR AR AR RN RAR RS AR LA AR AR RRRAR C 2] - O -~ @ [~ o o~ [ C ] o o o =} -] o - o - - - - o o o o o o o o o o o o S (¢) 200MPa (d) 260 MPa Correct answers: (a) / Concept version Page 6 of 24
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10. Referring to the stress-strain curve below, which of the following is closest to the value for the fracture strength? =1 ! 3 - i " i 2504 - - - 2004 [ -] g -— © 1504 100 - - —4 4 e RS RREES RN RR AR AR RN RAR RS AR LA AR AR RRRAR C - g " - ~ @ [~ o - o~ [ =) o o =Y = > = S =) - - - - c o o o o o o o o o o o o S 15 MPa 5250 MPa (c) 330 MPa (d) 230MPa Correct answers: (a) Concept version Page 7 of 24
11. Referring to the stress-strain curve below, which of the following is closest to the value for the total strain at fracture? LLAL) - - - = oo lll%llll?llllallll?llll%llll N » G (WPa) —_ un|lu|illllillll||nl TTTY OOIZZ g 8 © ¢ o @9 llllillll IR ERRRRERARRRRRRRRERAA] = 8 2 = R o123 / 5) 0.120 (¢) 0.100 (d) 0.001 Correct answers: (a) Concept version Page 8 of 24
12. Referring to the stress-strain curve below, which of the following is closest to the value for the/plast;ic strain at fracturc'g = —— - 300~ - 250+ - - - 200 [ -] & -— © 1504 1003 - - 4 0 TR ey vrrr gy nyresnnyrngrrsngprryrgryyegrerngpeeenmy C - g 2] - ~ @ & o - o~ " c o =1 (=) o =} =1 o o o - - - - o o o o o o o o = o [~ o o (- OlL (a 23 &= cowt be s, s s Tastal, (d) 0.001 Correct answers: (b) Concept version Page 9 of 24
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13. Referring to the stress-strain curve below, which of the following is closest to the value for the elastic strain recovered at fracture? M 0 s ?°°§ § 1505 o0 c-llll;llll IR ERRRRERARRRRRRRRERAA] lll'lllll;llll;lllllllll. T -~ 000} (a) 0.000 (b) 0.12 (c) 0.003 (d) 0.123 Correct answers: (c) Concept version Page 10 of 24
flcc‘*h'u‘r, s s losast bt “) zw'o“ 14. A sample of hypothetical metal having the stress-strain behaviour shown below is loaded to 280 MPa. If the 3 1as an initial length of 1 m, which of the following is ¢ to the length of this sample while this load is applied? ) Liliiialiind i i : ! ! Trrrprrreyerrryervrgprerrgyennegy vl o) ~ rect answers: ' Concept version Page 11 of 24
15. A sample of hypothetical met; Ll 1aving the stress-strain behaviour shown below is loaded to 280 MPa. If the sample has an initial length of 1 m, which of the#llowing is closest to the length of this sample upon unloading? - / - “' © 150+ 1007 0j'$ll llll]llll]llllillllillll]lllllllll TTTTITITTITTTT S s & s 2 £ & S e - o o o o (=] o o o o o o o v O OC3 (a) 1.07m (b) 1m (¢c) 1.26m (d) 1.19m Correct answers: (a) Concept version Page 12 of 24
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] VA l'JOO"(D-j L™ ‘7W"‘0' h* N7 x> L 16. You have designed a lovely desk similar to the one shown in the figure below. The thickness is 82 mm, the width is 750 mm and the unsupported span is 1300 mm. You have made the desk from Poplar brf Qu ‘F > Lhaving a bending strength of 68 MPa. You are very protective of this A - -3 ) desk, however, when you step away to eat a healthy meal, one of m our family members stands in the middle of the unsupported span . Y o ) e PD . I 3(4.'?::(qu|30>«!0 D to reach up to hang a picture on the wall. If your family member g O A . T =— | F* weighs 63kg will the desk break? 2 (st 52w . N 22" [igy-931) N ok 9.81 7, . T 24 men L= 13m ou L d = 0.081m /7 rg alh | > gs\fi.xl\(l.'s) ——— 0 _— G-= > 0.7). (O.ogz)t | / 2.4(10%) Pa 240 kfa. < 6 ¥ Mfa fn (¢c) Unable to determine from the information provided Correct answers: (a) Concept version Page 13 of 24
rce Vs [ishr pack N ppet APF *Vc \ F = o =(W(het) FUL gt = n T —Zifi91 (l:lxm)(“‘> yz= 2o ~m 3 3 | = o7w nz: o7a(l.236-1)(LW) @ 9 )Ph ove ["}’3 (zwtm-3> 3 j #P F - T v A 17. A local restaurant is running~a marketing promotion to increase busi- ness through their take-out business during the pandemic. They have : c filled a large box with table tennis balls and the challenge is to guess T .3H' ?q " . o : I | the number of balls in the box. To make this exciting, the restaurant I has packed the table tennis balls as tightly as possible into the bo ~ Fe = n=4 If the box has dimensions of 1.2m x 1.4m x 1.2m, how many balls are in the box? V Nn: 4 Poxr . - . N vy fio:_ - i V*‘* al’ jA bqf.‘mmm > SO nTOTq‘ -—‘aall (/(c) ,;(,ell ('?n - Voo = £ hw | hetu— b"-zfi ) &2)(!.«)(!-3_)‘.- Y (zfi-zo(fo"))s - 445 ('0“> =4S (10") va‘ Ob” - Q.s Q= 21’2’2 n [1.4m R = fle("’-a 2 (a) 45, 000 57 800 (¢) 41, 000 (d) 5, 600 Correct answers: (a) Concept version Page 14 of 24
18. Stress is described as being sample size independent for which of the following reasons? Because stress is force per unit area, so larger samples will also require larger force to achieve the same stress. (b) Because stress is a dimensionless quantity™ (c) Because stress is always the same, regardless of how many times you repeat a test 96 (d) None of these options. =~ Correct answers: (a) E 19. Young’s modulus is described as being structure independent for which of the following reasons? Jecause Young's modulus relates to a specific bond typey which does not change with microstructural changes o (b) Because Young's modulus is a dimensionless quantity (¢) Because Young’s modulus does not depend on the sj#e of a sam- ple being tested (d) Nomne of these options. Correct answers: (a) 20. The stored elastic strain energy in temperefl glass can be roughly related to which of the following? &f he surface energy liberated during fractyire (b) The strain energy surrounding dislocations in the glas (¢) The thermal energy used to produce the g (d) Nomne of these options. —ilem Correct answers: (a) Cof & a - Concept version Page 15 of 24 r / 7R
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¥Z JO 91 oded uorstoa jdoouo)) (e) :saemsue j00a10)) e ‘suorydo osorfy Jo ouoN (p) uorojdu reuoswouIp oo} ® st o10d ® seoloym ‘uoroojrodur reour] v st Adueoes Yy (9) b SHIGIRUE 1]} U0 $318TX0 o10d ® SROIOYM ‘TRISAID ® UMM SIND00 Adueoes ¥ (q) SUIOYe SUISSIW JO ()] ABS “TO(UINU OAISSRUL B SOAJOAUT o10d e seOIOYM ‘UrOje FUISSIT O[FUIS B ATUO SOAJOAUL ADURDR W colod v pue Adueoen’ e WA anUaLalLp a1 JO uopduosap 18aq ay) SLSULMO[[0) 24l Jo Uiy A\ “TC
22. The ervstalline imperfection illustrated in the figure below is which of the following? Vacaon ¢ ZOD (a) Vacancy ) Grain boundary (¢) Interstitial atom (d) Dislocation Correct answers: (a) Concept version Page 17 of 24
23. 24. Which of the following is the best explanation for the reason that a few atoms in a solid at room temperature may have enough kinetic energy to break free of their nearest neighbour atoms, while the majority are held in place by bonds? crc is a distribution of energies for a population of atoms |/ Crystalline imperfections mean that there will randomly be some missing bonds (¢) This occurs only to impurity atoms (d) These result from manufacturing defects Correct answers: (a) If a single unit of a BCC material was sliced as shown in the figure below, which of the following would correctly describe the fraction of the area of the sliced plane covered by atoms? _ 2. 72t (a) 6 (b) 15 ;/ifr ) (c (d 32 None of these options. Correct answers: (a) Concept version Page 18 of 24
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25. Referring to the unit cell below, how many octahedral interstitial sites have centers residing on the blue plane? - . . CQV\‘\'C / NoV o~ ¥ \ e - B B B B B B R rcc Correct answers: (a) Concept version Page 19 of 24
26. Referring to the unit cell below, how many octahedral interstitial sites have centers residing on the orange line? (a b)) 0 (c) 2 (d) 3 Correct answers: (a) Concept version Page 20 of 24
27. Referring to the unit cell below, how many octahedral interstitial sites have centers residing within the unit cell, exactly half way between the blue and green planes? o Correct answers: (a) Akersect Concept version Page 21 of 24
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28. There’s a lot going on in the figure below. Take a moment to work it out. The solid black directions are normal to the planes. Planes 1 and 2 have atoms residing in either cube corners or cube face-centers. Which crystal structure is illustrated here? vy HeclP ABA o P (a) HCP —> ABAB (b) FCC > J36c AAC (¢) BCC ) Simple Cubic Correct answers: (a) Concept version Page 22 of 24
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29. Two parallel planes of atoms are sketched below, viewed normal to the planes. The red plane is on top of the blue plane and a grey plane, with no atoms, is sketched and resides exactly half way between the red and blue planes. The arrow identifies a point on the grey plane. What is the coordination (with all atom colors) of the point indicated with the arrow? Correct answers: (a) Concept version Page 23 of 24
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30. Referring to the figure below, noting that one of the curves was from a brass sample tested in tension, which are the two materials that most likely produced the other two curves? s"‘ ew QW 'S —— No*"‘g ‘hu»‘\- ‘A / ~& g - Simi ol o ratel ) 'SLO"H 1 be ceroa~—mC O grp_sS/oH C(,I'd . in compression, polvmer__ Ceramic in tension, polymer | e—— B11ttlc polymer, ceramic in compression (d) Brittle polymer, ductile polymer Correct answers: (a) Instructions: e Congratulations, you've reached the end of the assessment! ¢ Remember to submit your answers to Microsoft Forms. Concept version Page 24 of 24
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