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Chapter6-
1
ISSUEST
OADDRESS...
Stressandstrain:Whataretheyandwh
yare
theyusedinsteadofloadanddeformation?
Elasticbehavior:Whenloadsaresmall,
howmuch
deformationoccurs?Whatmaterialsde
formleast?
Plasticbehavior:Atwhatpointdoespermanent
deformationoccur?Whatmaterialsare
most
resistant
topermanentd
eformation?
Toughnes
sandductility:
Whataretheyandhow
dowemeasurethem?
Chapter6:
M
echanicalProper
ties
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Chapter6-
2
What
ismechanicalproperty?
Mechan
icalPropertiesaredefinedas
deformationinthem
aterialobse
rvedwhenit
is
subjectedtotheexte
rnalforceof
stretching,
compressing,bendin
g,striking.
Factors
effectingme
chanicalpro
perties:
1.Natureoftheappliedload,
e.g.stretching,compressive,shear
2.Magnitudeoftheap
pliedforce
3.Thedur
ation(applicationtime)
e.g.maybelessthana
second,may
extendovera
perio
dofmanyye
ars.
4.Service
temperature
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Chapter6-
3
Importantmech
anicalpr
operties
Strength
Hardnes
s
Ductility
Stiffness
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Chapter6-
4
Elasticmeansreversible!
ElasticDeformatio
n
1.
Initial
2.
Smallload
3.
Unload
F
bonds
stretch
returnto
initial
F
L
inear-
e
lastic
Non-Linear-
elastic
=lfinal-linitial
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Chapter6-
5
Plasticmeanspermanent!
PlasticDeformation(M
etals)
F
linear
elastic
linear
elastic
pla
stic
1.
Initial
2.
Sma
llload
3.
Unload
planes
still
shea
red
Felastic+plastic
b
onds
stretch
&
planes
shear
plastic
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Chapter6-
7
Simpletens
ion:cable
Note:=M
/AcRhere.
CommonStatesofStress
Ao=crosssectional
area(whenunlo
aded)F
F
o
=
FA
o
=
FsA
M
M
A
o
2R
Fs
Ac
Torsion(af
ormofshear):driveshaft
Skilift(photoc
ourtesy
P.M.Anderson)
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Chapter6-
8
(photocourtesyP.M.Anderson)
Can
yonBridge,
LosAlamos,
NM
o
=
FA
Simplecom
pression:
Note:compressive
structuremember
(0
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Chapter6-
10
Tensilestra
in:
Lateralstrain:
Shearstrain
:
Str
ainisalways
dim
ensionless.
EngineeringStrain
90
90-
yx
=x/y
=tan
=
Lo
L=
Lwo
AdaptedfromFig.6.1(a)
and(c),Callister7e.
/2
L/2
Lo
wo
Ine
ngineeringpractice
itis
com
montoconvert
eng
ineeringstraininto
percentstrainorperce
nt
elon
gation
%e
ngineeringstrain=
eng
ineeringstrainx10
0%=
%e
longation
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Chapter6-
11
EN
GINEER
INGSTR
AIN
L
Engineering
stress
Engineering
(normal)strain
=
=
=
=
AF
AF
L
AF
=
=
=
22
L
LAF
=
==22
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Chapter6-
12
S
tress-StrainTesting
Typicalten
siletest
machine
AdaptedfromFig.6.3,C
allister7e.(Fig.6.3istakenfromH.W.
Hayden,W.G.Moffatt,a
ndJ.Wulff,TheStructureandPropertiesof
Materials,Vol.III,MechanicalBehavior,p.2,JohnW
ileyandSons,
NewYork,1965.)
specimen
extensometer
Ty
picaltensile
specimen
Adaptedfrom
Fig.6.2,
Callister7e.
gauge
length
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Chapter6-
13
Lin
earElasticPrope
rties
Modulusof
Elasticity,E:
(alsoknownas
Young'smodulu
s)
Hooke'sLaw:
=E
Linear-
elastic
E
F F
simple
tension
test
ModulusofElasticity
givesanideaabou
t
mate
rialsresistanceto
elasticdeformation
.
UnitsofE:[GPa]or[psi]
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Chapter6-
14
MetalAlloy
ModulusofElasticity,
E(GPa)
Alum
inum
Brass
Copper
Magnes
ium
Nickel
Steel
Titan
ium
Tungsten
69
97
110
45
207
207
107
407
YO
UNG'SM
ODULUS
(E)
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Chapter6-
15
Poisson
'sratio,
Poisson'sratio
,:
Theratiooflateralandaxialstrains.
UnitofPo
issonsratio
():dimensionless
>0.50
densityincreases