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480_Mechanics Homework Mechanics of Materials Solution

# 480_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 4.220 Knowing that the hollow beam shown has a uniform wall thickness of 0.25 in. determine (a) the largest couple that can be applied without exceeding the allowable stress of2(} ksi, (b) the corresponding radius of curvature of the beam. 3.25 in. PROBLEM 4.220 SOLUTION E "' '0'6’10‘ l”i : (gauges-0%) : 80.! ’qum 4 L623 z 6...! __. £5 ,__ (IQQNIOGMLGZSJ P EM", Zo‘uol" = as; in = we H. .- 4221 A beam of the cross section shown is extruded ﬁ'om an aluminum alloy for PROBLEM 4-221 which E = 72 GPa. Knowing that the couple shown acts in a vertical plane, determine (a) the maximum stress in the beam, (b) the corresponding radius of mature. 10 40 10 40 10 M = 3 kN - njﬂ ﬂ [L10 SOLUTION Dimensions in mm T For odt’eor reJanpG: k)“-= llOMM, h = ‘40 MM I: : 955th ﬁCllolﬂolS= 0-53:.67 ﬂog hm" For one Cd‘l‘od‘i‘ reo+quﬂpet L3: ”0 MMJ lﬂ’ 20mm I1 = 'ilf’oha ='.-'a("+°l(2013 = 0.02667 no“ mm” I: I. “’ 2.1; = 0-53533 xto‘ m.“ = 0.53333'1104 w." M ‘= 3WD1i N-m C" 20 am ‘—' Karla's-M .1; .3 ‘Q‘ G i "‘35 = W r ”2.5m“ Pa = ”2-5 We. *- M - _ EI _ (72ulo?)(o.\$3333xl0") = Eff " P“W‘m3x.os mew“ 4 ...
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