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Test 2

# Test 2 - CE 313 Mechanics of Materials Spring ZUDS...

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Unformatted text preview: CE 313 Mechanics of Materials Spring ZUDS, Section [H12 Test [I Name ' d:- now # Left Right Solve each of the three questionsfprohlems in a neat and orderlyr fashion. SHOW All 1t’OUR WORK ONLY ON THE FRONT OF EACH PAGE. Credit for unexplained or difﬁcult-to- follow work will not be awarded. Each problem is worth It] points. Partial credit will be given in Problems 1 and 2* if deserve-:1. No partial credit will be given in Problem 3, which includes ﬁve problems. 1 Problem 1 llﬂh For the beam and its cross-section shown in the ﬁgure, determine (a) the maximum tensile stress, and {b} the maximum shear stress on the beam erase-sectiett. Given, the moment of inertia abeut the eenﬂeida] z—at-tis ,1 = Eufiﬁt-litlll'l'6 m4. _________,__ 3 kNint MINER”: igiﬁ‘i‘ith'ZD W T61" : (sont019>+(29)ﬁiﬂ>(q9> __ _tg,3;; m® (sacrejua) + (semis) %[email protected]@ '1'Li7bci X1154: Q = (010 1L1) L0 . Gaoéqiiotﬁé 069/29 :M 3 (<1 ABM TM 2 (6x10) 45+. '53 MP 5 x ('2 HZQ PUD —E’) (O 0:“) a“ @ Problem 2 [101 At a point on the surface ofa structure the stresses acting are as shown on the stress element below. Determine the principal stresses and show these stresses on a properly oriented element. R: lot—reel : (36-0—6 P5”. (Ti: 30+gép\$= Gﬂﬂéﬁt (31,-: gag-gene. = ”QIOE} Psi Prablem 3 {continues}! (c) Using the method of superposition, determine the vertical deﬂectien cf the beam at the ﬁ'ee end [a eeseenen table is attached}. Given, E1 = taxis? kN—rng. 18 kid '2. l“ 4m ' —\— mg) Us : amnesia (1X? Smog) (d) A thin strip of copper (E = 113 GPa} having length L = 2 m and thickness t = 2 mm is bent into a circle {see below}. The maximum bending strain in the strip is £2) - ”3le in. 2T1- "F3 = 2 m {e} A laminated weed beam cross-section (see figure) is subjected to a shear force of 1801'] lb. The shear Stress in the glue joint is 1:= i0 0 psi. 37 ’1 ammrzxz? its W {\f1U‘36—O (l6 :_ Sr: (Hagar) LELE Problem 3 [11]}. No partial credit wﬂi‘ be given to thefoifowmgﬁve proliferate (a) to (e). {a} The moment of inertia of the area shown below about its horizontal centroitiai axis is, 03m 114m (0.2)(0-09) (0 ~11?) L2) atom 41, (0-05)(_O'q i '2..— ﬁﬂﬁ m _ I -: it}92><\tﬂj>m% 43.3 m {b} Bending moment at the mid—point of the beam is 1 ‘ S— kN—m. ...
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Test 2 - CE 313 Mechanics of Materials Spring ZUDS...

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