Page 386 - Aircraft Stuctures for Engineering Student

10.1 Tapered beams 367

(a)

z X

( b) (C)
Fig. 10.4 Effect of taper on the analysis of open and closed section beams.
The applied shear loads S, and SJ are reacted by the resultants of the shear flows in
the skin panels and webs, together with the components Px,r and PY,, the axial loads
of
in the booms. Therefore, if S.r,M, and S,,,,v are the resultants of the skin and web shear
iiows and there is a total of rn booms'in the section
sx = Sx,w + m Px:r, sy = sy,,v + nz Py,r (10.13)

r=l r= 1
Substituting in Eqs (10.13) for P.,,r and P,,,r from Eqs (10.10) and (10.9) we have
sx,
sx = s.x:w + P:,r - sy = sy:w + pz,r I' (10.14)
sY
1
r=l sz r= 1 6z
Hence
(10.15)