Page 602 - Aircraft Stuctures for Engineering Student

Index 583

Bending of open and closed section beams Closed section beams
276-91 shear centre 304-6
applicability of theory 290, 291 shear stress distribution at a built-in end
approximations for thin-walled sections 445-8
287-90 stress, strain and displacement
deflections due to bending 284-7 relationships 29 1-5
direct stress distribution 279-81 subject to bending 276-91
load intensity, shear force and bending subject to shear, see Shear of closed
moment relationships 283,284 section beams
position of neutral axis 281 subject to torsion, see Torsion of closed
principal axes 281 section beams
resolution of bending moments 278 twist and warping 303, 304. 309-16
second moments of area of inclined and Columns
curved thin sections 288,289 beam columns 162-5
sign convention and notation 277, 278 bifurcation point 156
Bending of thin plates, see Plates boundary conditions 155
Bending of wings. see Stress analysis of buckling load for a pin-ended column
aircraft components 153-5
Bending rigidity of a beam, see Flexural buckling modes 154
rigidity critical slenderness ratio 156
Betti, E. 103 definition of buckling load 153
Bifurcation point, see Columns eccentrically loaded 162
Biharmonic equation 39 effect of initial imperfections 160-2
Bimoment 482 effective length 155
Body forces 7 eigenvalues 155
Boundary conditions energy method 165-9
in columns 155 Euler buckling 152-6
in elasticity problems 9, 10 flexural-torsional buckling 180-8
in thin plates 132-4 inelastic buckling 156-60
Bredi-Batho theory 307-9 local instability of thin-walled columns
Buckling 174, 175
coefficients for thin plates 171-3 neutral equilibrium state 153
columns, see Columns polar second moment of area of a
experimental determination for a flat plate thin-walled column 184
174 reduced elastic modulus 159
flexural-torsional buckling of thin-walled slenderness ratio 155
columns 180-8 Southwell plot 162
inelastic buckling of thin plates 173 tangent modulus 157, 159
interrivet buckling of stiffened panels 177 Combined open and closed section beams
local instability 174, 175 322-7
of stiffened panels 175-7 subjected to bending 323
thin plates 169-73, 174 subjected to shear 323-5
wrinkling stiffened panels 177 subjected to torsion 325-7
Buffeting, see Flutter Compatibility equations 19,20
Bulk modulus 26 two-dimensional 21, 37, 38
Complementary energy 69, 70, 76-100, 108
Carbon fibre reinforced plastics 218, 219 Complex stress system 10-16
Castigliano’s first theorem 70 Components of stress 4
Centre of pressure of a wing 221 Composite materials 218-20
Centre of twist of open and closed section carbon fibre reinforced plastics 218, 219
beams 294.295 glass-reinforced plastics 218