EAS207-2nd-exam-sol-2009

EAS207-2nd-exam-sol-2009 - EAS 207 STATICS Second Exam Fall...

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Unformatted text preview: EAS 207 - STATICS Second Exam Fall 2009 ‘ Total points: 100 Notes: 1. Closed book exam. . 2. Draw Free-body diagrams and reference axes for all problems i1 _Q.1(a) For the loaded truss shown in Fig. 1(a), use the method of sections i or a combination of the method of sections and the method of joints to find the forces in member JK and DJ. _ (17 points) 2 W M970 (6) C30), "‘ r r ”2“ l ‘ “ a, "'“‘ “‘“ 4 V g \\ 3K {8 (0923 46+ \0 gm 2%; j '5 l 60 l , l ’4” W” ’"‘ “ Kl gl \ K} EK”_”5J38EMW “>9”. New Cwicgm 3 oivxii T 6"“ 4—0 a 3126/3573“ Kw Zirco i‘ * 21 5738 Q.1(b) Determine the support reactions at supports A and C of the loaded frame shown in Fig. 1(b). . , i (17 points) R p: 150 lb-ft ‘ (“my i 2" ¥ _ I "L" ’ -~ X i 150 1b i <Z>oiMwWi <7 4 , .mmwww “mawfiwmm mmmmmmmmmm .w “MW “““““ ‘1 M E ,3 O ,. I . “x @505 (z) - K83) (93’; O 33 \\ (WW ........... f »»»»»»»»»»»»»»»»»» em (3" a in w, flag 3/ 7‘ 4“ Ba ,3 . » _ _ N a , ~ '6 4.; 40:35.60 ) ,., W “WW. iiiii Q.2) A beam is loaded and supported as shown in Fig. 2. i) Calculate the support reactions. (8 points) ii) Write the expressions for shear-force (V) and bending-moment (M) for a section between points C and D, as a function of x measured from the left-end support A. (8 points) ' iii) Draw complete shear and bending moment diagrams for the beam ‘ with the aid of the area integration process. Be sure to label the values of shearforce and bending moment on the diagram. (18 points) ( I? Q \3 me Q; M =1 10XC>< —- N) - 32 "'-‘ 5 (50—2) “‘ RAVCXPEH Pg] (3nyme Q3) A 100-Kg cylinder rests against a wall and a plate as shown below. The coefficient of static friction is 0.3 at both surfaces. The plate rests on rollers, and friction between the plate, the rollers and the floor is negligible. Neglect the weight of the plate and determine the minimum force P necessary to move the plate. (Hint: The cylinder may not slip with the wall and the plate simultaneously). . (32 points) Radix»: 2: lSO mm 0R1; 323W ”J g:ft'wfxt ssuw W'l‘mut +m c. “m 5mg “‘ 1 :3 (NRBCE lSO)” (SgiSn/lfox 0 ”MN '—- UCR ($90) 0 " i 5 x: . E i l ...
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