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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 stressﬁes, Wish Fig. 173518 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“ ergwaﬁzi 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 milé 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. 133354 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, ass5, Pas.5, and Fiﬁ5 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 {inset13:
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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 Spring '08
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