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Quiz 2 Solutions

# Quiz 2 Solutions - Mechanics of Materials CEN 202 QUIZ#2-B...

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Unformatted text preview: Mechanics of Materials - CEN 202 QUIZ #2 -B “f a ; Problem 1 (50 points) Describe how you would solve the following problem. Equations and logic are required but no calculations are necessary. *i’rab. 3.548. A :igid beamAD is supported by three identi- cal verticai rods that are attached to the beam at {mints A, C, and B. When the rods are initiaﬁy attached to the beam anti P m 0, the rods are stress-ﬁes, Wish Fig. 1735-18 and the data below, (a) sake fau- th: axial forces F1, F3, and F3 hi the sugpmt rods. (Hint: Select F; as the redundant force, and take moments about A and D to reiate F3 323:1 F1 to the mdundant force FT Use the Basic Force Method to salve for F3.) (‘0) Detannine the martin} displacements MA and :15, as iéentiﬁﬁd in Fig‘ P3548. Aﬁlﬂinﬁ L-‘=60in., Eﬁ3ﬁ><103ksi amﬁﬁinu badmin” lemming P=10kips FR F( E) 3 kaﬁmg FA I T 2 any ﬁ/jyzjg/ £1”;st H doe; nail mam»? 544mg agiti’qsgﬁl g; '5'“ (f ; gimﬁ’iﬂ 5‘ I ‘ ‘ a“ ergwaﬁz-i m ‘ra M L. r t ' a {,3 ii? 4; @ £17 ow g/“fx: i A if: W; Given Formulas: 0=P/A =8 *E 5 =a *A T *L 5 = PL / AE Problem 2 (50 points) Describe how you would solve the following problem. Equations and logic are required but no calculations are necessary. Prob. 3.3—3: A steel pipe With outer diameter d, and law diameter d}, and a solid aluminumwaﬂoy red of diameter 5 form a three—segmeat System that undergoes deforma- ﬁm: due to a single load P;- acting on a maﬁa: at point 6, as shown in Fig. 133.5% (3) Calculate the axial stresses (:1, 9a, and 03 in the three elements, and (3:) determine: the disgiace- grants a; and ac. TM ﬁt} awoiﬁﬁtﬁv mil-é aairﬁ ( Mona. m Waves: ﬁrm“? Score: /100 Mechanics of Materials - CEN 202 QUIZ #2 -A NAME ............................................................................................... .. Problem 1 (50 points) Describe how you would solve the following problem. Equations and logic are required but no calculations are necessary. Prob. 3.64. The two red elements in Fig. 13335-4 are stress free when they are assembled together and attached to the rigid walls at A and C. Determine expressions for the magi?) and @(AT) that would result ﬂown a umfonn temper- ature increase AT; =« AT; a 251‘. Express your answers 131 ' , ,. , and AT. I a 1m °f E" E” A" A" L” [’2’ a‘ “2 F354, ass-5, Pas-.5, and Fiﬁ-5 ﬁg, .31, {£3 : Li. 1m, emerge, é Wag m DU ‘M " Given Formulas: 7f} :8 >kl? §=a*A T*L 6=PL/AE Problem 2 (50 points) Describe how you would solve the following problem. Equations and logic are required but no calculations are necessary. *Proh. 3.560. Thee steel pipe columns {E = 29 X 19’ ksi) support a rigid beam AC, whieh, in turn, supports a {inset-13: varying distributed load. Nagiect the weight of beam AC and determine the compressive 120mm! stress in each {3% the columns A; a A; m 2.2 i133, m 4.3 5311 M‘ r . ‘3 x “ﬁgs: V25 Elem; 51W“? 3”” . 47;} 1% H I A? Jab/1479;? ' “‘9 153,? 3h ...
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Quiz 2 Solutions - Mechanics of Materials CEN 202 QUIZ#2-B...

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