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Exam 3 Solution - AKA/v 7° COE 2001 STATICS H—rdH'55...

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Unformatted text preview: AKA/v : 7° COE 2001: STATICS H—rdH : '55 5.1;. '2 l'7 EXAMS ADO". : 4-K FALL 2010 NAME: beLl-T‘Idzv The exam is closed book and closed notes. Scientific calculators are allowed. No mp3 players, cell phones, laptops, etc. Linearly document all steps and show all supporting work. Answers given without supporting work will be given zero credit. Write legibly and box all final answers. HONOR STATEMENT: I have read and strictly abided by all conditions set forth in the Georgia Tech Honor Code and thus have neither given nor received assistance of any type regarding the content or solution of the problems in this examination, nor will I discuss the content with other students until the exam has been graded and returned. SIGNATURE: l ll 1 I l Georgialltmafififiuto {l @fiTechtmcollogy l :T7 Problem 1 15 ts 3. Discuss the difference between “truss" vs. “beam” members in terms of their governing behavior and assumptions. (5 pts) ” A114 and, CAM-7 TF—WI AeA‘gp—aj ME ITMIJ—Hr rsuspberé E I 7 AXIAL Far‘LE I #5“ P3?” Carma-lab! + bonus): wit—v A41" m1 BEA/i AE/‘IB’EF-‘i (4:25 51,54,054 13m VmH CAI/v M14? We r ffifé‘r‘ Foam, SEA/MM Ara/hm?" A» “rt—raw- FEM/'2 AE/‘ufE/fi' QM EE Mfr/ILL? be») 51>. b. Complete the general equations below for the differential relationships for q, V, and M. Note: A and B are two arbitrary points on a beam. (5 pts) (3 8 9-Y- = rzcfi) (fl—M = “V 6") AVAB = “gbffifidnt AMAB = ’fVé‘)'LX m A 0. Suppose you are designing the following 2D truss structure which consists of 24 members, is pin- supported, and must resist the 3 applied forces shown. By inspection (Le. no computations), label which members carry zero force by clearly writing “0” through each member you identify. (5 pts) Problem 2 25 Qts The following 2D simply-supported 24~ft long beam is subjected to a diétributed load (1(3) = éa: k / ft, ranging from 0 k/ft to 12 k/ft, acting downward. 3.. Find the vertical reactions at A and B. b. Make a section cut at 0 < m < 24’ and write the distributions of internal shear V(a:) and internal moment M (3:) c. Find the magnitude and location of the maximum positive moment in the beam. m. t— 2/1“ : H'fl(Z-31)vr47(2w): 0 M ZF73/l7-rfi'7-WH :0 Egrag" i lb?" I: ZF = H84— vac»; (fi): 0 ”_"' VL+7 7 7.” a. F7/L‘C") Va): fight”; He 1 x Z/‘7W :A(¢)«m+%x[ix(z£)3: MIL-Li i- ,u, H mm a iii—V9)” - {EXHHOD . x:!36‘56’ Problem 3 30 pts Draw the shear and moment diagrams for the following 2D beam. Label the magnitude and location of all local maxima and minima. The reaction forces are given. 4 kip/ft 1 “pl Problem 4 30 ts The following 2D simply-supported truss is loaded as shown. With exception to Member EL, all members are 1.0—m in length. The support reactions are given. a. Using the method of joints, find the forces in members I and 2 (forces F1 and F2). b. Using the method of sections, find the forces in members 3, 4, and 5 (forces F3, F4, and F5). —)2kN 0.39 kN 7.61kN A Fl 2F - Fifi“ (a + D 3‘1’ 5 D f A 4| Fl : "" 0 H S M (a) Fat: +XjZlS luv (7*) M > u L *5(I)+7_(1('L>+g(lr:,la‘)1v0 F :: -— ”.3 kn! (c) _3—.————————- ZFj: » H;:..{a‘-5+—;.Jz = 0 E1 :+3.b| in“ CT) ...
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