CIVE 210 Exam 1 with solution, Spring 2012

CIVE210 — Spring 2011-12 Ouiz I M. Mabsout & A. El-Souri UIZ 1 Spring 2011-12 (March 28, 2012) CIVE210 —- STATICS CLOSED BOOK, 1 HR 30 MN Name: { ed AA fen) ID#: 00 } NOTES 4 PROBLEMS- 12 PAGES. VIDED ON THE QUESTION SHEETS. AS ADDEMLONAE Sf UH, is SOME ANSWERS MAY REQUIRE MUCH LESS THAN THE SPACE PROVIDED. DO NOT USE THE BACK OF THE SHEETS FOR ANSWERS. DRAFT BOOKLET WILL BE PROVIDED; BUT DO NOT USE FOR ANSWERS. BOTH QUESTION SHEETS AND DRAFT BOOKLET SHOULD BE RETURNED. CHECK BOXES ARE TO CONFIRM THAT YOU HAVE SOLVED A QUESTION. ® @ @ 6 @ @ 6 6 @ YOUR COMMENT(S) DO NOT WRITE IN THE SPACE BELOW MY COMMENT(S) YOUR GRADE Problem I: £0 /20 Problem IT: Ao /20 Problem HZ: _£S /25 Problem IV: 3s 135 TOTAL: [90 /100 a XN CIVE210 — Spring 201 1-12 Ouiz I M. Mabsout & A. El-Souri Problem I: (20 points) Tick Boxes to check that you solved all questions The four forces shown in Figure I are concurrent at point O. ¥F; lies in a vertical plane that makes an angle of 50 degrees with the Y-axis; F> is in the X-Z plane; F; is a vertical force; and Fis in the Y-Z plane. 1. Compute the resultant force in Cartesian vector notation. (/3 points) La Calculate the magnitude and direction of the resultant force, and sketch it on the figure a above. (7 points) Calculations and/or Diagrams: oe — _— 7S Ul Tf. --25-- EY upg... a a 7 a . _&. neem plney 2 5. Ge 4 ALY ‘oles E32 Sin Dod: 43 # Fxg. oS Sinko’, 3Al |) ne aT Bese “2, Gs B= bub dep 8 IIE Tp DMT pp Bc. Fro ba 26 bite 2A bC C. Faize PO Fvas. b Sin dies. BOE wt ls Mab Ee fob BBG eo Fags RIS LO 0,8. ia Beak yo —— Fa \ERG the. = [OLE fy: nag dt ders 2 eG Pye. ----~-----------------------+2--- Pp fer AY poet Gxyiido: lop = nfl OE x “hS2 pile LS/° CofC okeb WlE a. ERS" 0 OE ° CIVE210 — Spring 2011-12 Quiz 1 M. Mabsout & A. El-Souri Problem EI: (20 points) Figure I The cables system suspends the cylinder in the equilibrium position shown in Figure II. 1. Ifthe weight of the cylinder is 600 N, compute the tension forces in each of the cables. (12 points) 2. Evaluate the system if the maximum tension that each of the cables can carry is 700 N (explain in 2-3 lines maximum). In this case, what is the maximum cylinder weight that the system can carry. (8 points) TA fe Calculations and/or Diagrams: Sy xe 20. la. BLAME LOD < sal A. WA AE RIB Brn EGY BQN anne | lero. ge... Thee Aa ClO: BE bb Meee nm mm mn a nn ne ee ee ee ee ee am, YB — = - ny need mm) SC 2 at = i | a lap, > va Ua SOG ne / PL ce sa ; ais x — — a {ern Tétecisnct BC 2 We boon Tyee Zi ybbld a) Ag Vite Tree, ctG60 J ayy fa f (Sane Fee we SbCA VL fy —» 7 Bla! srpy 2 co ! fu Aap on 7 ¢ 7 Morey “Hideki avd CIVE210 — Spring 2071-12 Quiz} M. Mabsout & A. Fl-Souri Problem WI: (25 points) {3 F= 4i+12j—3k (Ib) Figure Til The rigid pipe system is subjected to the forces and moments shown in Figure III. 1. Compute the resultant fore and moment system at the support A in Cartesian vector form. (15 points) 2. Determine this resultant system about an axis extending between points A and C. Express the results as Cartesian vectors. (10 points) Calculations and/or Diagrams: mei & a iecauaaaae GE alk: ead ae Pannen Mas Mt FG Ew. jb LON Se enn m— > ag “? tS Ls i 7 oy J — . ee eee Pt * a Ty > ae Hogg, se Pe Ah! ae St ee, (ge REDE enee wenn geeneeeeeeeeen nny | aera ar ae fe - WT aye plennne See Bol S Ch fh = 1S bE Cs * Sf Me ; : - 3/ .A PS Sy fy ie Eee a eth) pt 3618) Poe BCE bo CIVE210 — Spring 201 J-12 Quiz 1 Mf, Mabsout & A. El-Souri Problem IV: (35 points) Figure IV Two cables and a spring are connected at point A as shown in Figure IV. The spring has a stiffness of 4,000 N/m. Determine the maximum values of the forces P and @ that can be applied at A in the directions shown, if the maximum displacement that the spring can withstand before failing is 100 mm, and the maximum tension that each cable can support before failing is 500 N. (Hint: Start by maximizing Q, and then move to maximizing P). ty Calculations and/or Diagrams: | Ss ae gC bc ay. LAtS,33 PA a AL pre Axe Mg (20 sabe Lee hl : “ a vp pan eet . j a 7 Mo, Piso C396 2 - 3%, 9, Or ~ QP ey, hp CIVE210 — Spring 2011-12 Ouniz 1 M. Mabsour & A, El-Souri Calculations and/or Diagrams (cont’d): sossncerasenaescaencoscentnneneeceaeee nn waar ; nee ae Faso enone Soo Mo. Z fer SFy se ead "Bb asstAc. Ee 4, Pec oo eeeeeetaveeeteeeeeee ar t-D 6B fag iB. EB GB <0 ee =F b= 604,5.M > Ste, be