Introduction to Aircraft Structural Analysis (Elsevier Aerospace Engineering)

638 Index

Torsionofbeams(continued)
ofopensectionbeams,514–521
pointofzerowarping,518
primarywarping,516
rateoftwist,514
secondarywarping,516
shearlines,515
shearstressdistribution,514
torsionconstant,514
warpingofcross-section,515–516
Torsionofsolidsections,65–82
membraneanalogy,77–79
torsionofanarrowrectangularstrip,79–82
warpingofathinrectangularstrip,81
Prandtlstressfunctionsolution,65–75
Laplacianoperator,67
linesofshearstress,71
polarsecondmomentofarea,73
torsionconstant,71
torsionofacircularsectionbar,72
torsionofanellipticalsectionbar,73,74
torsionalrigidity,71
warpingdisplacement,70
St.Venantwarpingfunctionsolution,75–77
torsionconstant,77
warpingfunction,76
Totalpotentialenergy,147–148
Twistandwarpinginclosedsectionbeams,491–493
Twistandwarpinginopensectionbeams,514–521
Two-dimensionalproblemsinelasticity,45–60
bendingofanend-loadedcantilever,55–60
biharmonicequation,48
displacements,54–56
inverseandsemi-inversemethods,48–53
St.Venant’sprinciple,53–54
stressfunctions,47–48

U

Unitloadmethod,138–141

Unsymmetricalbending,seeBendingofopenandclosed

sectionthin-walledbeams

V

Virtualwork,85–107

applicationsofprinciple,99–107

principleofvirtualwork,87–91

foraparticle,87–88

forarigidbody,88–91

useofvirtualforcesystems,98

virtualworkinadeformablebody,91

workdonebyexternalforcesystems,97–98

workdonebyinternalforcesystems,92–97

axialforce,92–93

bendingmoment,95–96

hinges,96

shearforce,94

signof,96–97

torsion,96

work,definition,85,86

W

Warping

inaclosedsectionbeam,491–493

inasolidsectionbeam,70

inanopensectionbeam,515–516

ofathinrectangularstrip,81

St.Venant’swarpingfunction,75–77

Wings,analysisof,587–612

Wings,sparsandboxbeams,analysisof,561–574

Work,definition,85,86

Y

Young’smodulus,29