engineering materials by mcalister
DESCRIPTION
bs mechanical engineeringTRANSCRIPT
Engr. Muhammad Imran
Engineering MaterialsME 322
Mechanical Mechanical Properties of Properties of
MetalsMetalsLecture 2
Learning Goals.1 – Mech PropsLearning Goals.1 – Mech Props
STRESS and STRAIN: • What they are and why they are they used
instead of LOAD and DEFORMATION
ELASTIC Behavior• How Much Deformation occurs when
Loads are SMALL?
• Which Materials Deform Least
Learning Goals.2 – Mech PropsLearning Goals.2 – Mech Props
PLASTIC Behavior• Determine the point at which dislocations
cause permanent deformation
• Which materials are most resistant to permanent deformation
TOUGHNESS and Ductility• What they are
• How to Measure them
Materials TestingMaterials Testing
In The USA the American Society for Testing and Materials (ASTM) Sets Many, Many Materials-Test Standards
Founded in 1898, ASTM International is a not-for-profit organization that provides a global forum for the development and publication of voluntary consensus standards for materials, products, systems, and services. Over 30,000 individuals from 100 nations are the members of ASTM International, who are producers, users, consumers, and representatives of government and academia. In over 130 varied industry areas, ASTM standards serve as the basis for manufacturing, procurement, and regulatory activities. FormerlyFormerly known as the American Society for Testing and Materials, ASTM InternationalASTM International provides standards that are accepted and used in research and development, product testing, quality systems, and commercial transactions around the globe.
ELASTIC DeformationELASTIC Deformation Apply/Remove a SMALL Force Load to a Specimen
1. Initial 3. Unload
return to initial
2. SMALL load
bonds stretch
F
• F Force Load
(lb or N) Deformation in
Response to the Load (in or m)
F
Linear- elastic
Non-Linear-elastic
ELASTIC means REVERSIBLE
PLASTIC DeformationPLASTIC Deformation Apply/Remove a LARGE Force Load to a Specimen
PLASTIC means PERMANENT
1. Initial 3. Unload
PlanesStillSheared
& planes
2. LARGE load
bonds stretch
shear
F
elastic+plasticplastic
F
linear elastic
linear elastic
plastic
Engineering Stress, Engineering Stress, Normalize Applied-Force to Supporting Area TENSILE Stress, σ
Area, A
Ft
Ft
FtAo
original area before loading
SHEAR Stress,
Area, A
Ft
Ft
Fs
F
F
Fs FsAo
• Engineering Stress Units → N/m2 (Pa) or lb/in2 (psi)
5
• Simple tension: cable
o
FA
• Simple shear: drive shaft
o
FsA
Ski lift (photo courtesy P.M. Anderson)
Common States Of StressCommon States Of Stress
Ao = cross sectional Area (when unloaded)
FF
M
M Ao
2R
FsAc
Canyon Bridge, Los Alamos, NM
6
• Simple COMPRESSION:
Note: These areCOMPRESSIVEstructural members(σ < 0; i.e., a NEGATIVEnumber)
(photo courtesy P.M. Anderson)
Common Stress States cont.1Common Stress States cont.1
Ao
(photo courtesy P.M. Anderson)
Balanced Rock, Arches National Park o
FA
Engineering Strain, Engineering Strain,
LATERAL Strain
/2
/2
L/2L/2
Lowo
Lo
L L
wo
SHEAR Strain
Engineering STRAIN Units → NONE (Dimensionless)• To Save Writing Exponents
– µ-in/in– µm/m
TENSILE Strain
90º
90º -
x = x/y = tan
y
Tensile Testing – Cyl SpecimenTensile Testing – Cyl Specimen Std Specimen Tension Tester
3/4
-10
Th
d
Other Tests• Compression Test for
Brittle Materials– e.g.; Concrete → GREAT in
Compression, Fractures in Tension/Shear
• Torsion (twist) Test– Drive Shafts, Torsion Bars
for Vehicle Suspension
Linear Elastic DeformationLinear Elastic Deformation Consider a Tension Test With SMALL
loads; Plotting σ vs. ε Find
The Data Plots as a Line Through the Origin• Thus σ ε
– The Constant of Proportionality is the Slope, E
E is the “Modulus of Elasticity”, or “Young’s Modulus”• Linear Elastic Materials are said to follow
Hooke’s (spring) Law
F
Fsimple tension test
Linear- elastic
E
E
Linear Elastic DeformationLinear Elastic Deformation During a Pull-Test the Material
CONTRACTS Laterally,εL, as it Extends Longitudinally, ε. Plotting
This Data Also Plotsas a Line• Thus εL ε
– The Constant of Proportionality is the Slope,
is “Poisson’s Ratio” as Defined by
F
Fsimple tension test
L
L
Elastic (Hooke’s) RelationsElastic (Hooke’s) Relations Uniaxial Tension Isotropic Material
“Modulus Relations”Eε • Also Poisson’s Ratio 12EG
G Pure Shear
L
OV
VK P
All-Over Compression
213 EK
Steel Properties• E = 190-210 GPa• G = 75-80 GPa• K = 150-160 GPa = 0.27-0.3
Elastic Properties of MetalsElastic Properties of MetalsMetal
Young's ModulusE (Mpsi)
Shear modulus, G (Mpsi)
Bulk Modulus,K (Mpsi)
Poisson'sratio,
Aluminum 10.2 3.8 10.9 0.3Brass, 30 Zn 14.6 5.4 16.2 0.4Chromium 40.5 16.7 23.2 0.2
Copper 18.8 7.0 20.0 0.3Iron (soft) 30.7 11.8 24.6 0.3Iron (cast) 22.1 8.7 15.9 0.3
Lead 2.3 0.8 6.6 0.4Magnesium 6.5 2.5 5.2 0.3Molybdenum 47.1 18.2 37.9 0.3Nickel (soft) 28.9 11.0 25.7 0.3Nickel (hard) 31.8 12.2 27.2 0.3
Nickel-silver, 55CU-18Ni-27Zn 19.2 5.0 19.1 0.3Niobium 15.2 5.4 24.7 0.4
Silver 12.0 4.4 15.0 0.4Steel, mild 30.7 11.9 24.5 0.3
Steel, 0.75 C 30.5 11.8 24.5 0.3Steel, 0.75 C, hardened 29.2 11.3 23.9 0.3
Steel, tool 30.7 11.9 24.0 0.3Steel, tool, hardened 29.5 11.4 24.0 0.3
Steel, stainless, 2Ni-18Cr 31.2 12.2 24.1 0.3Tantalum 26.9 10.0 28.5 0.3
Tin 7.2 2.7 8.4 0.4Titanium 17.4 6.6 15.7 0.4Tungsten 59.6 23.3 45.1 0.3Vanadium 18.5 6.8 22.9 0.4
Zinc 15.2 6.1 10.1 0.2
MetalsAlloys
GraphiteCeramicsSemicond
PolymersComposites
/fibers
E(GPa)
Based on data in Table B2,Callister 7e.Composite data based onreinforced epoxy with 60 vol%of alignedcarbon (CFRE),aramid (AFRE), orglass (GFRE)fibers.
Young’s Moduli: ComparisonYoung’s Moduli: Comparison
109 Pa
0.2
8
0.6
1
Magnesium,Aluminum
Platinum
Silver, Gold
Tantalum
Zinc, Ti
Steel, NiMolybdenum
Graphite
Si crystal
Glass -soda
Concrete
Si nitrideAl oxide
PC
Wood( grain)
AFRE( fibers) *
CFRE*
GFRE*
Glass fibers only
Carbon fibers only
Aramid fibers only
Epoxy only
0.4
0.8
2
4
6
10
20
40
6080
100
200
600800
10001200
400
Tin
Cu alloys
Tungsten
<100>
<111>
Si carbide
Diamond
PTFE
HDPE
LDPE
PP
Polyester
PSPET
CFRE( fibers) *
GFRE( fibers)*
GFRE(|| fibers)*
AFRE(|| fibers)*
CFRE(|| fibers)*
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