542 CHAPTER 19 Structural Idealization
Fig.19.5
Idealized fuselage section of Example 19.2.
The origin of axes Cxycoincides with the position of the centroid of the direct stress-carrying area,
which,inthiscase,isthecentroidoftheboomareas.Thus,takingmomentsofareaaboutboom9,
( 6 × 640 + 6 × 600 + 2 × 620 + 2 × 850 )y
= 640 × 1200 + 2 × 600 × 1140 + 2 × 600 × 960 + 2 × 600 × 768
+ 2 × 620 × 565 + 2 × 640 × 336 + 2 × 640 × 144 + 2 × 850 × 38
whichgives
y=540mm
ThesolutionisnowcompletedinTable19.1
Fromcolumn④
Ixx= 1854 × 106 mm^4
andcolumn⑤iscompletedusingEq.(i).
19.3.2 Shear of Open Section Beams
The derivation of Eq. (16.14) for the shear flow distribution in the cross section of an open section
beamisbasedontheequilibriumequation(16.2).Thethicknesstinthisequationreferstothedirect