Introduction to Aircraft Structural Analysis (Elsevier Aerospace Engineering)

Problems 159

Fig. P.5.1

P.5.2 Arigidtriangularplateissuspendedfromahorizontalplanebythreeverticalwiresattachedtoitscorners.
Thewiresareeach1mmdiameterand1440mmlong,withamodulusofelasticityof196000N/mm^2 .Theratio
ofthelengthsofthesidesoftheplateis3:4:5.Calculatethedeflectionatthepointofapplicationduetoa100N
loadplacedatapointequidistantfromthethreesidesoftheplate.

Ans. 0.33mm.

P.5.3 Thepin-jointedspaceframeshowninFig.P.5.3isattachedtorigidsupportsatpoints0,4,5,and9and
isloadedbyaforcePinthexdirectionandaforce3Pinthenegativeydirectionatthepoint7.Findtherotation
ofmember27aboutthezaxisduetothisloading.Notethattheplaneframes01234and56789areidentical.All
membershavethesamecross-sectionalareaAandYoung’smodulusE.

Ans. 382 P/ 9 AE.

Fig. P.5.3

P.5.4 AhorizontalbeamisofuniformmaterialthroughoutbuthasasecondmomentofareaofIforthecentral
halfofthespanLandI/2 foreachsectioninbothouterquartersofthespan.Thebeamcarriesasinglecentral
concentratedloadP.