636 Index
Plates,thin,energymethod(continued)
Rayleigh–Ritzmethod,241,248
strainenergyduetobendingandtwisting,241–243
experimentaldeterminationofcriticalload(Southwell
plot),298
failurestressinplatesandstiffenedpanels,302–304
inelasticbucklingofplates,296–298
bucklingcoefficients,297
instabilityofstiffenedpanels
interrivetbuckling,301
wrinkling,301
localinstability,299
purebending,219–222
anticlasticsurface,222
flexuralrigidity,221
neutralplane,219
synclasticsurface,222
subjectedtoadistributedtransverseload,227–236
built-inedge,231
differentialequationfordeflection,227,232
Fourierseriesfordeflectionsandloads,232–233
freeedge,231–235
Laplaceoperator,229
simplysupportededge,230
tensionfieldbeams,304–320
completediagonaltension,305–311
diagonaltensionfactor,311
incompletediagonaltension,311–314
loadingorbucklingstressratio,312
postbucklingbehaviour,314–320
Pointofzerowarpinginanopensectionbeam,518,519
Poisson’sratio,29
Potentialenergy,seeEnergymethods
Primaryinstability,253
Primarywarpinginanopensectionbeam,516
Principalstrains,27,28
Principalstresses,planes,14,16
Principleofsuperposition,151
Principleofthestationaryvalueofthetotalcomplementary
energy,113–114
applicationtodeflectionproblems,114–122
applicationtothesolutionofstaticallyindeterminate
systems,122–138
Principleofthestationaryvalueofthetotalpotentialenergy,
148–151
Principleofvirtualwork,87
Principlesofstressedskinconstruction,327–348
materials,seeMaterials
Productsecondmomentofarea,460–461
Propertiesofmaterials,333–348
anisotropicmaterials,334
brittleness,333
creepandrelaxation,346–347
ductility,333
elasticmaterials,333
fatigue,seeFatigue
isotropicmaterials,334
orthotropicmaterials,334
plasticity,334
strainhardening,345R
Rayleigh–Ritzmethod,241,248,270–274
Reciprocaltheorem,151–155
Reducedmodulustheory,260–263
reducedelasticmodulus,260S
Safelifestructures,seeFatigue
Secondmomentofarea,456–466
Secondaryinstability,253
Secondarywarpinginanopensectionbeam,516
Self-strainingtrusses,145–147
Shearcenter,seeShearofbeams
Shearflow,seeShearofbeams,Torsionofbeams
Shearofbeams,479–496
centeroftwist,482–483
generalstress,strainanddisplacementrelationships,
479–483
shearflow,480,483,484
shearofclosedsectionbeams,488–496
shearcenter,493–496
shearflow,490–491
twistandwarping,491–493
shearofopensectionbeams,483–488
shearcenter,483,486–488
Singularityfunctions(Macauley’smethod),448–454
Slendernessratioforacolumn,seeColumns
Southwellplot,265,298
St.Venant’sprinciple,53–54
Stabilityofbeamsundertransverseandaxialloads
(beam-columns),266–270
Strain,20–23
determinationofstrainsoninclinedplanes,25–27
longitudinal(direct)strain,21
Mohr’scircleofstrain,28
planestrain,25
principalstrain,27,28
shearstrain,21–23
Strainenergy,111,112
insimpletension,112
Straingaugerosette,37
Stress
complementaryshearstress,8
componentsatapoint,6
definition,4
determinationofstressesoninclinedplanes,10–14
direct(normal)stress,4