Page 608 - Aircraft Stuctures for Engineering Student

index 589

of columns, see Columns secondary 3 17,3 18
of plates, see Plates Torsion of solid sections 51-65
primary 153 bar of elliptical cross-section 57-9
secondary 153 contour lines 62, 63
Structural vibration 551-68 Laplacian operator 53
approximate methods 565-8 membrane analogy 61-3
flutter, flutter speeds, see Flutter narrow rectangular strip 63-5
lumped mass concept 552 Prandtl stress function solution 51-9
normal modes 552 St. Venant warping function solution 59-61
oscillation of a mass/spring system 552-4 shear lines (lines of shear stress) 57
flexibility method 553 stress concentrations 63
stiffness method 553 torsion constant 56, 59, 61. 64
oscillation of a mass/weightless cantilever torsional rigidity 56
system 554-7 warping displacement 59, 64
oscillation of a uniform beam 560-5 warping function 60
Surface forces 7 Torsion of wings, see Stress analysis of
Symmetric manoeuvre loads, see aircraft components
Airworthiness Total complementary energy 68, 76-100,
Synclastic surface 125 108
of a beam subjected to a temperature
Tail unit components 225 gradient 107-9
Tangent modulus 157, 159, 173 of an end loaded cantilever 81,82
Tapered beams, see Stress analysis of of a multi-redundant system 90
aircraft components of a pin-jointed framework 77-81
Temperature effects 107-9 of a propped cantilever 89, 90
Tension field beams 188-97 of ring frames 93-100
complete diagonal tension 189-94 of a statically indeterminate framework
diagonal tension factor 194 86-9
effect of taper 196 of a trussed beam 91-3
incomplete diagonal tension 194-6 of a uniformly loaded cantilever 82, 83
loading (buckling stress) ratio 195 Total potential energy 68, 71, 73-6, 144-9,
Titanium 217 165-9
Torsion of a thin-walled rectangular section of a thin plate 147, 170
beam, see Structural constraint Twist and warping of a closed section beam
Torsion of closed section beams 307-16 303, 304, 309-15
Bredt-Batho theory 307-9
condition for zero warping 315, 316 Unit load method 68, 100-2, 342-4,404,
displacements 309-15 405
Neuber beams 316 deflection of open and closed section
shear flow distribution 307 beams 342-4
warping distribution 309-16 deflection of multicell wings 404,405
Torsion of fuselages, see Stress analysis of
aircraft components Vibrations, see Structural vibrations
Torsion of open section beams 316-22 Virtual work 68, 71-3
point of zero warping 320-2 displacements 7 1, 72
shear stress distribution 317 forces 72, 73
subjected to constraint, see Structural Volumetric strain 26
constraint
torsion constant 3 17 Wagner, theory for tension field beams
warping 3 17-22 188-96
primary 318 torsion bending theory 468-78