CIVE 210 Exam 2 with solution, Fall 2012

CIVE2]0 — Fall 20}2-13 Ouiz 2 M. Mabsout & A. Et-Sourt UIZ 2 Fall 2012-13 (Wednesday December 19, 2012) CIVE210 - STATICS CLOSED BOOK, 2 HOURS Name: chs Z s we: + section: NOTES 3 PROBLEMS- 12 PAGES. 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. TR YOUR COMMENT(S) DO NOT WRITE IN THE SPACE BELOW MY COMMENT(S) YOUR GRADE . Problem I: Aft/40 Problem IT: Q8_ 135 Problem II: aS 125 Bonus/Extras - Organization, Neatness, Special, ...: cD TOTAL: /100 CIVE210 — Fall 2012-13 Quiz 2 M. Mabsout & A. El-Souri \ . Ex l0x [2-60 KN Problem I: (40 points) he “ 0 kNInt 20 kN V M M Vv 6m 6m 6m 4 | 4 a t (+) Convention 4 is | le h = V5 | ; ; x © is Sow Figure I ‘ ae ———e— Tick Boxes to check that you solved all questions For the beam shown in Figure I: \ 1- Compute the reactions at points B and D (advice: double/triple check them!). (7 points) iH] 2- Using sections, compute the shears and moments at points A, B,C and D. (8 points) aa 3- In a “convenient” way, write the equations of shears and moments in the beam, and use (~ them to compute the shears and moments computed in question 2 above. (18 points) 4- Using your equations, draw the shear and moment diagrams showing the necessary and a important features and values. (7 points) Calculations and/or Diagrams: A CIVE210 — Fall 2012-13 Ouiz 2 M. Mabsout & A. El-Souri Calculations and/or Diagrams (cont'd): . f ra ° . . . : , ‘oe Droccbyres Leneee a _ lp 2 ae.. Du x (C=loy& we JOvb= 2,44) Bys Sosa = 82S.) Pwd... NS. S02 : {B13 K5) (Xa) — ob £ ee = Bn XE een eee ene C | ms Ce. : SoM 9-8 (64X8) (EME wenn nee e eee nnn n eee ee at BOX, WB Migs 30. Mp eo in >. Ngee HE=2Me CIVE210 — Fall 2012-13 Ouiz 2 M. Mabsout & A. El-Souri Calculations and/or Diagrams (cont'd): — : Leola. aw See CIVE?10 — Fall 2012-13 Ouniz 2 M. Mabsout & A. El-Souri Problem HI: (35 points) j OO KS 50 kN { 2 vz] 5 Hah 300 kN.m M M “dh ~ Vv A » y (+) Convention YTaDS a Py =[&Sica - For the beam shown in Figure I: 1- Compute the reactions at points B and D (advice: double/triple check them!). (7 points) 2- Using the method of integration (or areas), draw the shear force and bending moment diagrams (use the space provided below for the diagrams and draw to scale as much as you can). Show the important and necessary features and values on the diagrams. (28 points) Calculations and/or Diagrams: CIVE210 ~ Fall 20]2-13 Ouiz 2 M. Mabsout & A. El-Sourt Problem Jil: (25 points) IN Vi e od , Le ) L2 > (e) (f) Figure 1 The fixed-end cantilever beams shown in Figure II are loaded with different types of concentrated or distributed loads; however the total equiyalent vertical load in each of the cases (a) to (f) have the same fotal intensity P. Also, all distributed loads are symmetrical about the midpoint. NOTE: No “real” calculations are needed and the information above is sufficient to solve the problem, so please do not ask for any information or clarifications, otherwise you will be asking for the answers. 1- Compare the vertical and moment reactions (in absolute values) at the fixed ends for the six cases from largest to smallest. (8 points) R(x) = R(b) = R(x)> RCA) > Ra} = RE ) Cc P)*s Ms) 2 M(b) = M(<) = Mh) » MCX) > mc ) (: yy Ned Briefly explain how you reached your solution: (2-3 lines maximum) , = Pm b, CIVE210 — Fall 2012-13 Ouiz 2 M. Mabsout & A. El-Souri 2- Compare the internal vertical shear and bending moment (in absolute value) at the midpoint of the beams for the six cases from largest to smallest. (J0 points) wo Lb b -wa wf ( <V@ WO EVA= WO2 WY =Ve =v) <V@y \ ~ — aA =P Otho Me.) < Me) <M(o)< Mb) < MC) < m()) Briefly explain how vou reached vour solution: (2-3 lines maximum) ~ e dow. ff Daghl Seale col NV cent OY Cuber calla Al.cas(Gs)....E © 3. You are the teacher now: Suggest two cases of loading below that follow the same pattern as above, and explain how they compare with questions 1 and 2 (i.e. choose and draw cases which will have the same total equivalent vertical load, and compare reactions at fixed end and internal actions in the m}dpoint with the earlier cases. (7 points) i Briefly explain your choices and how they compare with earlier cases: (few lines only) Swe 2eyretd PO rwellle : 7 Pew). al Nit =e (Dp eae An ASLAN wi) wee fot \= en eee: Os i. =o