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Sample Test _2 Solutions

Sample Test _2 Solutions - TEST 2 CE 180 Section 02 Statics...

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Unformatted text preview: TEST # 2, October 13, 2006 CE 180, Section 02, Statics STUDENT PLEDGE: 1, Key , have not given or received improper aid on this quiz. INSTRUCTIONS: Read each problem carefully and think about the problems before you start to solve them. Show all your work neatly. A straight edge is not required. Clearly show your answers and use proper units. 1. (2 pts.) What is a free body diagram? A diagram at a rigid body free from its supports with $1 of the external forces 93 the body shown 2. (2 pts.) For the frame below, list the two—force members. All members are twoaforce members 3. (2 pts.) List the equilibrium equations for a rigid body in 4. (2 pts.) Define improperly constrained Having insufficient supports to hold the body in equilibrium under general loading 5. (12 pts.) Draw afree body diagram of the b33111: Is it statically determinate? 6. (20 pts.) A. Draw a free body diagram of the beam below, replacing the distributed loads with point loads. The first figure shows that the distributed loadings are from the bricks and the supports. B. Given that d = 1.5111, find W for the support at the right end of the beam. A, w‘ ._ QigkngZwNIm> :— $00“ l______,,__.§:j“ V‘] : w‘ i051“) MN m) '7. (20 pts.) For the following figure, the distance x is 6 feet. The load has a weight of 5000 pounds. Neglect the weight of the crane. The support at B is a smooth collar that cannot prevent rotation. a. Draw a free body diagram of the crane. I). Find the support reactions at A and B. 5, MW QBXBL124‘945‘DW‘QWJ‘9 Bx(12£~0 5" pggoothKo—H) . 3x 3 W) 01%) ,. (~'»50'~‘><>\‘0j : ~25OOUO , W 2. gx a Zeocmb 4““ M A; éinO 1‘ Ax + (4500”?) lm W X.“ jfé‘Fy—w 2* A7 _- 5000 “9 8. (20 pts.) The support at A is fixed. The 150—N force is parallel to the z axis and the 200~N force is parallel to the y axis. Draw the free body diagram of the pipe. How many unknowns are there? Is this pipe statically indeterminate? Explain your answer. Find the force and/or couple moment along and/or about the x axis. (You must decide if there is a force and/or a couple moment.) Pr 92°F? 150 N 90 (j unknowns Ct Nofim, P5193" W7} S+GVHQCLHKI incl ejrermmate emcfl W number at unbflbwrfi afloat; Jew. number 0; E‘DUCLhO“S 9. (20 pts.) The pipe is supported by a ball and socket at A and by two cables at B. a. Draw the free body diagram of the pipe. b. Given the unit vectors for BI) and BC below, write two equilibrium equations to find the tensions in BD and BC. (Do not solve.) um; : (6/7 i — 3/7j + 2/7 k) um) = (~6/7 i ... 3/7 j + 2/7 k) - 92M ”0 (3/7) Iodine) LI’IXTfigI ['sz EMII‘IS'“) MN 9:ng 0: k TfiMXIM) I GIT)Q"6D\IIM)I IW'IXTBQII 5M)I€/7XTBDXI 5“) WWI (om) QWXI and @tmf L+ZIVIw©= @IflI‘IeQI‘Igm) I'Q’I’DI’I'BDUIIW) or CalviI'IechmDIGIM/em) C Mama, 0: @I'DKTEQUM) “‘4 IIIXTIIPDBUM) oi” L_{7)Ii1“bc)(2m}“WI/1792979“) W7) (We) firm) I (1/7) (T60) (3m): 0 TEST # 2, October 13, 2006 CE 180, Section 04, Statics STUDENT PLEDGE: I, Key , have not given or received impmper aici on this quiz. INSTRUCTIONS: Read each problem carefully and think about the problems before you start to solve them. Show all your work neatly. A straight edge is not required. Clearly Show your answers and use proper units. 1. (2 pts.) What is a free body diagram? A diagram at a rigid body free from its supports with all of the external forces 93 the body shown 2. (2 pts.) For the frame below, list the twowforce members. 3kN ZkN All members are two-force members 3. (2 pts.) List the equilibrium equations for a rigid body in 21320 a. 2—D 2F}, 20 21:50 2F): mo ZMI =0 b. 3—D 2F), mo 2M? :0 2F: 2 0 ZMZ a 0 4. (2 pts.) Define improperly constrained. Having insufficient supports to hold the body in equilibrium under general loading 5. (12 pts.) Draw a free body diagram of the beam. Is it staticaily determinate? m: hi \ l l/ West») 31‘ i3 LIT—m sx—QDfiLQUq 5f; CY d etermimfie- 6. (20 pts.) A. Draw a free body diagram of the concrete siab below, replacing the distributed 10ad(s) with point load(s). B. What is the total weight of the machines and the siab? ‘ "300M: rm ~~~~~~~~~~~~ - 12h www-wwelw-m— 91‘: w»— ----- 0th “Nice WM) :2 6:00 t b @2ka )[Qse‘bszJ :- \SeeVo 77:419.] Lead : (QOOUO Jr {5901}; + 6:06 Ho {— ‘fioo Hg 3 [$100 \bl 7. (20 pts.) The frame below has 4 forces and 1 couple moment acting on it. The suppOrt at C is fixed. a. Draw a free body diagram of the frame. b. Find the support reactions at C. 30f) Eb 2430 lb- QCIO 1h W311 .479"; 1.. _ i; £33” A 50o 1b '-"ft goo lb 300“? We“: WOW A if“ a$+ “if” H F4 Ml ‘" ' ’f (”82% {1 \ 29+ #4:... Zoo Ho 1 Pr VAC— Q); <14 6 ‘95“ “‘0": ”00““ "‘W‘ebfi) +(ZwleW) + CMO‘bXa H3)“ Mo. . C , MC, 2: L590 \b-Hr )czaoo no.“ Jr 800‘Lb‘fi- \‘ ILEOEDvaPiF W0 :. acme “0.9+; M 3330 "a A wow.» +»- C7; \Qx; 1- wom‘ 8. (20 pts.) The pipe is supported by journal bearings in proper alignment at A and B. The 50 pound force is parallel to the z axis, and the force P is parallel to the x axis. a. Draw the Free body diagram of the yipe. b. How many unknowns? c. Is the problem statically indeterminate? Explain. (1. Determine the force P to keep the pipe in equilibrium. $50 SwfllC/HOUDHS (1w Mo, W ?m\ol~erfl 6 flcrl' sl—alV‘C—am/ ”Ind elerm J marl—8 Since. m number O‘l‘ ueflhflowng l5 \e—g‘; Demetri “WU-a flown W Tl M 2 loo llo”'F’i Oz "Phimhe (Sodyblhom) l- IOO lb°1p+(‘—-‘-_-¢+— 'Pi‘ém) '37 EODUD‘WW + \200 “Dan P2: \’(Ob\\o"m fl, i550“: __ H25”, 2:7.l2t5lb qu~w§ 12m 9. (20 pts.) The door is held in place by the two hinges in proper alignment and the cable going from C to B. The weight of the door acts at the center of the door. The unit vector in the direction from C to B is um; = 06373 i +0.7326j — 0.23901; a. Draw the Free body diagram of the door. 15. Write the equation you would use to find the weight of the door. Do not solve. 8” 6M” 1: O ”3 (”950“,)(63390Xfm) + mftonszwSBO") or ' ‘ ‘ ° [Sn/100330") :; 2 (3.50 N (“047320009500 filflgo) 4' (Q50N)[D»33qo)( . i iv‘CZ—Q O ) 4 N (Ga75M)(w$'50b) {55% TEST # 3, November 11, 2005 CE 180, Statics STUDENT PLEDGE: I, {2% ' , have not given or received improper aid on this quiz. INSTRUCTIONS: Read. each problem carefully and think about the problems before you start to solve them. Show all your work neatly. A straight edge is not required. Clearly show your answers and use proper units. 1. ( 2 pts.) What is a free bodyr diagram? ( A. dlnfimw 0% Dim object 481%: 'QWM El} ' {WSW/h shows/e} ell W Wm} ”Ft/mi? am; m ee 6” ml . 2. (2 pts. Each) Answer the 2 questions below about the following figure: . 3 RN 2 kN immumwwwn'lfi mummmmsn. .m...........s.u3 533.".mesw. a) Is member BDfifiember? ' 3 b) Draw a free bo ' am of pin C. 0 not solve for forces. 472w a” :7 fill} _ _ 3. (2 pts.) If you were going to find the force 111 member ML thh one equatlon (after reactions are found), draw the out through the truss that you would use. ..___ .___......,w.._...« .. WWW—Wu——— 4. (2 pts.) Dfaw a free body diagram of just the pulley. gemmmm.» :4 fl ...... alrm-v—m ‘5 fl W""“‘,’"‘; ‘3?) F50 5. (2 pts.) What is the vaiue of the bending moment at B? How do you know this without doing any calculations? calculation requiredk 5 RN 4kN 7. (2 pts. Each) Answer the 2 questions about the beam below. a. What is the shape of the shear diagram? Wflbhfl . b. What is the shape of the bending moment diagram? 0J0 LL 8. (2 pts.) Does the bending moment start at zero, positive, [email protected] ““- ' M ' BOD ”MW....~..w........~.‘www‘wmwM 10. (20 pts.) The car has a weight of 3500 lb located at G. Find thé'aféféfibe x so that the force of 100 lb at E will lift the front wheels of the car. 3W x "WM j i E \gfikN “r L »—~ «0 f1 ~~~~~~ 753:”??? 4.5 «1 «E A //;: ‘bmap; «a... m '2, PEN-«2T3 3mm 5 «00¢: Cy , . «fig/Al / W ”—1; L c: m; i TA 7 / j \f r ’ W ' :3 -—-3 m ‘ K 0‘ - H _ b i 4’5 1 “ «A Er.» *0 Z m D = o i M a :0 —C‘Cfil.5\) Jr $805 (4.5;) 3‘0 [ 3‘ 3’ giggly-u] ‘ (:7 : «567% «30 1 1. (20 pts.) Draw the shear and bending moment diagrams for the following b am. 7k§\‘ “WT;- W” ' a ZMQSO ? -7\¢M (EVA ”‘2 HEDQEN D ,., 2 3,75%“ 12. (20 pts.) Draw the shear and bending moment diagr The reaction at A is 0.25 kN and at C is 1.25m :“j:::::;::;3:1::::;;”::ij L26“ w ams for the following beam. ...
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