ME 211 Homework 7 Solutions

01103 00055172 tan 1 000878 312 312 problem31028

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Unformatted text preview: 3(12) 3(12) Problem#310.28 ThecolumnisconstructedfromhighstrengthconcreteandfourA36steel reinforcingrods.Ifitissubjectedtoanaxialforceof800kN,determinetherequired diameterofeachrodsothatonefourthoftheloadiscarriedbythesteelandthree fourthsbytheconcrete. 1.)Forequilibrium,thefollowingmustbetrue 1 PLoad 4 PST = 200kN 3 PConc = PLoad 4 PConc = 600kN PST = 2.)ApplyCompatability,displacementshavetobethesame 3.)Lengthsarethesame 4.)Rememberthatthereare4bars Problem#410.29 TheuniformbarissubjectedtotheloadPatcollarB.Determinethereactionsatthe pinsAandC.Neglectthesizeofthecollar. 1.)WritetheequationsofequilibriumanddrawtheFBD F x = 0 = FA + FC - P 2.)Applycompatability 0 = P - C L P( ) F L 3 - C 0= AE AE P FC = 3 3.)Pluggingbackintotheequilibriumequation 2 FA = P 3 Problem#510.41 The40ftlongA36steelsrailsonatraintrackarelaidwithasmallgapbetween themtoallowforthermalexpansion.Determinetherequiredgapsothattherails justtouchoneanotherwhenthetemperatureisincrea...
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