Problems 585
wouldbethevalueoftheshearflowinthepanelwithoutcutouts.Consideringahorizontallengthof
thepanelthroughthecutouts,weseethat
q 1 l 1 =qavl
or
q 1 =
l
l 1
qav (21.3)
Nowconsideringaverticallengthofthepanelthroughthecutouts,
q 2 d 1 =qavd
or
q 2 =
d
d 1
qav (21.4)
Theshearflowsq 3 maybeobtainedbyconsideringeitherverticalorhorizontalsectionsnotcontaining
thecutout.Thus,
q 3 ll+q 2 lw=qavl
Substitutingforq 2 fromEq.(21.3)andnotingthatl=l 1 +lwandd=d 1 +dw,weobtain
q 3 =
(
1 −
dw
dl
lw
ll
)
qav (21.5)
Problems..............................................................................................
P.21.1 ThedoublysymmetricalfuselagesectionshowninFig.P.21.1hasbeenidealizedintoanarrangementof
directstress-carryingboomsandshearstress-carryingskinpanels;theboomareasareall150mm^2 .Calculatethe
Fig. P.21.1