MOS Exam 1 04 - 1 The bars of the truss are made of steel...

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Unformatted text preview: 1. The bars of the truss are made of steel. Each bar has a cross-sectional area of 1.25 inz. If the ultimate strength of the steel is 40 ksi, determine the maximum magnitude P of the loads that can be applied to the truss for a factor of safety of 2.0. Z%=© be :IJSP .. ZMDZO } b‘d’ ’ . P(8)+OJSP(¢+) =C><(3) C74: LLP 3 £Fx=o D)“. r. Lil? £0de umber has 4W: WSW load? 2- At room temperature (70°F) a 0.02-in. gap exists between the ends of the rods shown. At a later time when the temperature has reached 320°F, determine (a) the normal stress in the aluminum rod, and ”1,2 I” (b) the change in length of the aluminum rod. -—lflin - 1‘ l r‘ lUIn.~———> ”(W ., 3,- f l t ‘ W A h t H , é QUmMcflMWWmumsmMiSHmfl bum/limp .\lumimnn Sminlu'Ss sh-rl '- ' ,\ 2.5 I3 \= 1.2m“ g :1 Q , :: O< OJ QT L d 1-: milar “WIN 1: w ‘28.“ ~< Hm“; t ‘ ,_ _ (1': m: >: In "fl? (r = 9.6 x In-“fiw = 6.3 no (Lsextz) /°F 30-quq3n : q-bvc low" (Belle) 2 clout m ufimn4he'fiwnmdsfimmkiJlxtuu&QEC(Uiéwwlfl W oppoSfl-C, flare». P 'Wfijfid Sad —_ P}: : M, = ”‘1’“0‘4’) P {4.6; (9'3’UOH-val05) (Pli’l Kip) Seep: Poe) ’ = aggxquP 1‘2—(2’8'7‘i03) (Sdti'SS'tk) — (Scalp l’géSi‘P) :O‘Olin Sextet—“ow, P2 (0|‘83ldtp p i (NSlrcssm WW 0151 -‘— 41.5? (bl Sci=O~0399-4\IZ>¢\6%((0L53): 0.0%“? I?) l 22,4 ks} (twp) ) J rm, Wm. stainless DLCCI smart IS 3 m long. When it is rotating at 60 rad/s, it transmits 30 kW of power from the engine E to the generator G. Determine the smallest diameter of the shaft if the allowable shear stress IS Tallow = 150 MPa and the shaft is restricted not to twist more than 0.08 rad. (Assume G=75 GPa) , _ P (My - “0.:- = I50 fidg d; W 2 9.51mm 77 (I60) Wok mug/mist 9540-08 _ TI Ll ¢= 1*: 3— 31d (J 3‘51 500x103 x3000 .3 39.9 mm i Tl" (O\QS)')Q(15X‘03) W dJHOMM ~r. ne—stresseo concrete beams are sometimes manufactured in the following manner. High strength steel wires are stretched by a jacking mechanism that applies a force Q as shown in part (a) of the figure. Concrete is then poured around the wires to form a beam, as shown in part (b). After the concrete sets properly, the jacks are released and the force Q is removed (part (c)), leaving the beam in the pre-stressed condition with the wires in tension and the concrete in compression. time] x» him If the pre-stressing force Q produces an initial stress 00 = 620 MPa in the steel, the modulus of elasticity for steel is 12 times as large as the modulus of elasticity for concrete (E, = 12 EC), “‘3 and the cross-sectional area of the steel wires is . 1/50 the cross-sectional area of the concrete (A, = _ it ~ .: . l/SO AC), find the final stresses 0's and 0C in the L V two materials. ...
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