Index
A
Airframeloads,379–399
1–cosinegust,394,395
aircraftinertialoads,379–385
gradedgust,394,397
gustalleviationfactor,397
gustenvelope,398
gustloads,393–399
normalaccelerationsassociatedwithvarioustypes
ofmaneuver,391–393
correctlybankedturn,392–393
steadypull-out,391,392
powerspectralanalysis,395
sharp-edgedgust,394–397
symmetricmaneuverloads,386–391
generalcase,387–391
levelflight,386–387
Airworthiness,373–378
factorsofsafety-flightenvelope,373–375
fatigue,seeFatigue
flightenvelope,374
limitload,373,375
loadfactordetermination,375–378
prooffactor,373
proofload,373
ultimatefactor,373
ultimateload,373
uncertaintiesindesign/structuraldeterioration,
375–376
variationinstructuralstrength,376
Airystressfunction,48
Anticlasticbending,432
Anticlasticsurface,222
B
Basicelasticity,3–41
Beam-columns,266–270
Bendingofanend-loadedcantilever,55–60
effectofshearstrains,59
Bendingofopenandclosedsectionthin-walledbeams,
423–471
anticlasticbending,432
applicabilityofbendingtheory,466
calculationofsectionproperties,456–466
approximationsforthin-walledsections,
461–466
parallelaxestheorem,456
productsecondmomentofarea,460,461
secondmomentsofareaofstandardsections,
457–460
theoremofperpendicularaxes,457
deflectionsduetobending,441–456
singularityfunctions(Macauley’smethod),448–449
loadintensity,shearforce,andbendingmoment
relationships,440–441
symmetricalbending,424–432
assumptions,424
center,radiusofcurvature,425
directstressdistribution,425–432
examplesofsymmetricalsections,425
neutralaxis,424
neutralplane,423,424
temperatureeffects,466–471
unsymmetricalbending,433–441
directstressdistribution,435–438
positionofneutralaxis,438
resolutionofbendingmoments,435
signconventionsandnotation,433
Bendingofthinplates,seePlates
Bendingrigidityofabeam,119
Bifurcationpoint,257
Biharmonicequation,48
Bodyforces,6
boundaryconditions,9,10
compatibilityequations,24–25
equationsofequilibrium,7,9
Bredt-Bathotheory,seeTorsionofclosedsectionbeams
Buckling
columns,seeColumns
plates,seePlates
Bulkmodulus,31
C
Columns,253–286
bifurcationpoint,257
bucklingloadforapin-endedcolumn,254–257
modesofbuckling,255
criticalstress,255,256
definitionofbucklingloadforaperfectcolumn,254
effectofinitialimperfections,263–266
Southwellplot,265
effectivelength,256
effectivelengthsofcolumnshavingvaryingend
conditions,256
eigenfunctions,eigenvalues,256
energy(Rayleigh–Ritz)methodforthecalculationof
bucklingloads,273–274
Eulerbuckling,253
flexural–torsionalbucklingofthin-walledcolumns,
274–286
inelasticbuckling,259–263
reducedelasticmodulus,260
633