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164_Mechanics Homework Mechanics of Materials Solution

# 164_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: j” L .1 r—-'r O ﬂ O L23“— 2.131 The steel bars BE and AD each have a 6X18-mm cross section. Knowing that PROBLEM 2.132 E = 200 GPa, determine the deﬂections of points A, B, and C of the rigid bar ABC. 2.132 In Prob. 2.131, the 3.2-kN force caused point C to deﬂect to the right. Using a =1 1.7 X 10°/°C, determine the (a) the overall change in temperature that causes point C to return to its original position, (b) the corresponding total deﬂection of points A and B. SOLUTION Use Maia} ABC. as aspire: body 92M5=o wan—(300x31): 0 PM: '-' iQ-g kN LZFK‘D “Pg£+3o2.+pﬁn = P8: .2 1'6 kw De¥orv~na7hons : 4.. 5’; = g“. ‘3 12%“01' Land-(AT) _ mm +(‘1loo->€lc;3)(il.7VIC-GMAT) (290x101 )(xoswo‘ﬁ ‘ = 237.0%10“ + H.68wlo“(41') *’ St " gas = “is?” Luann) -3 W +(Lrowd3kmwo‘ XAT) = Z‘té.3c> vlo‘°+ Ll.c;8xjo“(AT) Sc=0 \$5 :03009 -S,. = 0.375 6 .7 —5A=%~_—§3§ S. = 1.25 s. - C 237.04 x 16% LL-'cswd°mr3 =(i-25)[2% .30 no" + 9.45 noun] «10.55210"(AT)= GOIWSXZO.‘ AT=-.57;68‘f c:- = —57.7 °c. 237.04x10“ .. (‘+.68 XIO")(€7.-CS‘E.) e 42.92 «(0" a». -- 0.03m m. ._.. I-G -‘ . -- . -“ . o - (4.68xl0 )(57439) = +26.3€fwto in 29g 30"! 53 ’ 0.0.263 mm -" ...
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