ME 211 Homework 7 Solutions

# Determinetherequiredgapsothattherails

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Unformatted text preview: sedfromT1=20Fto T2=90F.Usingthisgap,whatwouldbetheaxialforceinthe railsifthetemperatureweretorisetoT3=110F?Thecross sectionalareaofeachrailis5.10in*in. 1.)Wehavetoaccountforthefactthatwehavemultiplerails thusasonerailexpandstheotherexpandsalso,whichmeans thateachrailcanonlygohalfthedistanceofthegapforeach end.Thuswecanhaveatotaldeflectionofdeltaforthewhole rail. Deflectionduetothethermalloadis: 2.)ApplyCompatability,beamscanonlydisplaceamountdeltajustfound Problem#610.49 Thebronze86100pipehasaninnerradiusof0.5inandawallthicknessof0.2in.If thegasflowingthroughitchangesthetemperatureofthepipeuniformlyfrom TA=200degreesFahrenheitatAtoTB=60degreesFahrenheitatB,determinethe axialforceitexertsonthewalls.ThepipewasfittedbetweenthewallswhenT=60 degreesFahrenheit. 1.)DrawtheFBD 2.)Findthetemperaturegradient T(x) = 60 + ( 8- x )140 = 200 -17.5x 8 3.)Applycompatability,thetotaldeflectioncannotbeanythingbecauseithasarigid supportonbothends. 0 =...
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## This note was uploaded on 05/12/2010 for the course MECHENG 211 taught by Professor ? during the Fall '07 term at University of Michigan.

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