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71_Mechanics Homework Mechanics of Materials Solution

# 71_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 2.20 A 1.2-m section of aluminum pipe of cross—sectional area 1 100 mm2 rests on a ﬁxed support at A. The 15-mm—diameter steel rod BC hangs from a rigid bar that rests on the top of the pipe at B. Knowing that the modulus of elasticity is 200 GPa for steel and 72 GPa for aluminum, determine the deﬂection of point C when a 60 kN force is applied at C. PROBLEM 2.20 SOLUTION Real BC 1.3,: = 2.1mJ E“ = 200 #10” Pa, Am: lilo“ = {Home}1 = WGJISKJO“ m‘ g __ PLec. _ (602103 KR.” "‘ ' Ewing ‘ (10000”)Cweﬂlswo“) .— 3.56% lo" m 1 -‘ 1 Pipe A18: L“: 1.2m ; E“:- 72xlo‘PQJ Anmoo m = Nooxro m _ 'PLEE __ gsoxzo’5)(l.a) = -4; 2 SB" - EnAM ‘ (72>!Io")(ltooxlc>"‘) 90?" ”IO M .. -3 .3 _ Se» + Sam = 707.1»:10 ‘+ 3.565acfo = 4.47% m .1197...“ d 2.21 The steel frame (E =r 200 (3193) shown has a diagonal brace BD with an area of 1920 m1. Determine the largest allowable load P if the change in length of member ED is not to exceed 1.6 mm. SOLUTION 1... -6 \$34 =I.éxto"’m , A“ = 1920 mm = Iaaoxzo m‘ Lacf1jsl+6z = 7.8!OM, Ena=200xlquq g = Bf—Lac "- EeA t .. ‘1;- .; EESEQSL -_- (200%t09)(l‘iaoxlo")(l-6:404l L“ 7.8! = 73.67 x103 N Use Jar-«i- 8 as al-llr‘ee body: LEI-7,: o r‘; Fa - P -—- o 3 P P = 5 F3; 2 £398.67 No) 7.8“) F.“ = 50.4 was N = 50.4 RU 4‘ ...
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