gaussians elimination method
TRANSCRIPT
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Three-Cell Torque BoxWith Two Bending
Materials
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Sample Problem
A three-cell torque box with two bending materials
a confguration as described and shown
Cell ! ABC is a semi circle with radius o" !# inCell $ AC%& is a rectangular section where AC ' $# in an(# in
Cell ) &%*+ is a right trape,oidal section where &% ' AC!# in and %* is Thrice the length o" AC
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&i.en
P ' /0## lbThic1nesses
T ' !##### in-lb tABC ' #2!#3 ' !# "t tA& ' tC%
#2#4 in
5! ' #2605 tAC ' #2#/
5$ ' #2$05 t%& ' #2#
t%*+& '
#2#7 in
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!2*nclosed area o" each cell$2Shear8ows
)2Torsional Shearing Stress
(2Angle o" Twist 9deg:
%etermine
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A! ' πR2 /2 ' π(10 in)2 /2A
!' !062#/ in2
A$ ' 3W ' 9$# in: 9(# in:
A$ ' /## in2
A) ' 1/2 b 9h
! ; h
$: ' 1/2
9 7# in: 9$# in ; !# in :A
) ' 4## in2
q! ' P 9 5
!< 5: < h
!
q!' /0## lb 9 #260 $# in
q$ ' P 95
$< 5: < h
$
q$' /0## lb 9#2$0
$# inq
$ ' !#72$0 lb
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= = 314.16 in
= = 250 in
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▪ ' ' ///2/4 in
▪ '
' $/026! in
▪ ' ' $!/#20# in
▪
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