LABORATORY
MANUAL
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LABORATORY
MANUAL
OF
TESTING
MATERIALS
BY
WILLIAM
KENDRICK
HATT,
C.E.,Pn.D.
MEMBER AMERICANSOCIETYCIVILENGINEERS; PROFESSOROFCIVILENGINEERING, ANDDIRECTOR OFLABORATORY FORTESTING
MATERIALS, PURDUEUNIVERSITY
AND
H. H.
SCOFIELD, M.E.
ASSISTANT PROFESSOROFCIVILENGINEERINGINCHARGE OF TESTING
MATERIALS, COLLEGE OFCIVILENGINEERING, CORNELL UNIVERSITY.
MEMBER: AMERICAN SOCIETY FORTESTING MATERIALS,
SOCIETY OFAUTOMOTIVE ENGINEERS
SFCOND EDITION
McGRAW-HILL
BOOK
COMPANY,
INC.NEW
YORK:
239WEST
39TH
STREET
LONDON:
6 & 8BOUVERIE
ST., E. C. 4COPYRIGHT, 1913, 1920, BY THE
MCGRAW-HILL BOOK
COMPANY, INC.PREFACE
TO
SECOND
EDITION
The methods
of tests, specificationsand
related datahave been revised
and
broughtup
to date. This hasbeen particularlynecessaryin thefield ofconcretewhere developments have been rapid in recent years.
It has beenthe intentionto
make
thenew
editionuse-ful in
more
than one institutionby
eliminating certain details of directionsand
apparatus which wouldbemore
or less peculiar to
any
one laboratory. It is felt that the generalized directions while being helpful as a guidein class
work and
investigations, should also lead to amore
independentcharacterofwork upon
the partof the student.PREFACE
TO
FIRST
EDITION
This
manual
is theoutcome
of the operation, througheighteen years, of the Laboratory for Testing Materials
of
Purdue
University. During this time severalin-structors, temporarily serving the laboratory, have
improved its practice. Especial mention should be
made
of the services of the late Professor Hancock,whose
untimely death deprived the science of testingmaterials of a very able
and
patient investigator,and
his colleagues of a good friend. ProfessorYeoman,
now
of Valparaiso University, did valuable service in the organization of thework
of the cement laboratory.The
authors are indebted to ProfessorPoorman
ofPurdue
University, for valuable suggestions.Inits original form the
manual was
publishedby
the senior author of thisvolume
; and later, with theassist-ance of ProfessorScofield, the
manual was
enlarged,and
was
found useful in several universities.Now
the authors have availedthemselves of the assistance of the present publishers to enlarge the work.The
list of ex-periments has been increased,and
amore
complete treatment ofmachinesand
apparatus added.One
purpose of themanual
is to relieve the instructorfrom thenecessity ofexplaining thedetailsofmechanical
procedure,
and
so to free histime for matters of greatereducational importance. Itisalsohoped
by
the authors that the practitioner will find thevolume
of convenient use.LAFAYETTE, IND., August, 1913.
CONTENTS
PAGE
PREFACE
...
vCHAPTER
I. GENERAL 1CHAPTER
II. GENERALINSTRUCTIONS 4InstructionsforWritingReports 7
CHAPTER
III. DEFINITIONS 10Stress 10
Elasticity 12
Resilience 14
CHAPTER
IV. MATERIALS STRESSEDBEYONDTHEELASTICLIMIT 16
Fracturesunder Tension 17
Fracturesunder Compression 17
Fracturesunder Shear 19
CHAPTER
V. TESTINGAISDTESTINGMACHINES...
20Technical QualitiesofMaterials 20
Testing Machines 21
(a) Holdingthe Specimen 21
(6) MethodofApplyingLead 27 (c) Weighing Mechanisms 35 Extenso metersand Other Deformation Instruments . . 37
CHAPTER
VI. LIST OFEXPERIMENTS 44 ExperimentsforAdvanced Work 46CHAPTER
VII. INSTRUCTIONS FOR PERFORMING EXPRRIMENTS . 48
Article 1. Testing Machines 48
A-l. StudyofTesting Machines 48
A-2. CalibrationofTesting Machines 50
A-3. CalibrationofExtensometers 51
Vlll
PA.GK
Article2. Ironand Steel
...
52B-l. Tension TestofIronand Steel
...
52B-2. Tension TestofCastIron orSteelCastings. . 55
B-3. Autographic Tension TestofIron orSteel . . 50
B-4. Tension Test withExtensometer
...
57B-5. ExperimentinTorsion
...
59B-6. Testof Wire Cable
...
01B-7. CompressionofHelical Spring
...
02B-8. EffectofOverstrainon Yield PointofSteel . 03 J3-9. FlexureTestofCast Iron orSteel
...
04B-10. FlexureTestof Brake
Beam
...
05B-ll. VibrationTest ofStaybolt Iron
...
05Articles. TestofWood. ...
...
60C-l. Instructions for Laboratory Exercise for the Identificationof Woods
...
66C-2. CompressionofShort
Wood
BlocksParallel to Grain...
67C-3. Compressionof
Wood
PerpendiculartoGrain. 69 C-4. TestofWood
Columns...
70C-5. Flexure TestofSmall Wooden Beams
....
71C-6. Flexure TestofLargeWooden Beams
....
73C-7. ImpactTestof Wooden Beams
...
74C-8. Abrasion Testof
Wood
...
....
75Article4. TestsofCements
...
70D-l. Testof Specific GravityofCement
...
82D-2. TestofFinenessofGrinding
...
83D-3. Normal Consistency
...
85D-4. TimeofSetting
...
88D-5. TestsforSoundness
...
87D-0. Cement and Cement MortarsinTension
...
89D-7. Cement and Cement Mortars in Compression 92 Articles. StudyofAggregates
...
93Noteson SamplingofAggregates
...
93E-2. TestofSandforCleanness
...
90E-3. WeightofAggregates . . . '
...
99E-4. Specific GravityofVariousMaterials Used as an Aggregate inConcrete
...
102E-5. DeterminationofVoidsinAggregates
....
105E-6. Effectof Moisturein Aggregates on PerCent. ofVoids . . . 106
PAGE E-7. StudyofSieves 107
E-8. Sieve AnalysisofAggregates 109
E-9. HandMixingof Concrete 113 E-10. Mixing Concreteby Machine Mixer . . . .114
E-ll. Amountof Water RequiredforMixing . . .115
Article 6. Proportioning MortarsandConcretes . . . .119
E-12. TheoryofProportioningConcrete 119 E-13. MixtureofFineand Coarse Material . . . . 121
E-14. Proportioning Concrete by Method of Sieve
Analysis
...
122K-15. Strengthin Relation to Density 127 E-16. SurfaceAreaofAggregates 128 E-17. Fineness ModulusofAggregates 130
Article7. TestsofConcreteandOther Brittle Materials 132
F-l. The ValueofaSandor Other Fine Aggregate as ShownbyStrength Tests 132 F-2. CompressiveStrength ofConcrete 133
F-3. Compression Test Brittle Materials 134
F-4. Compression of Brittle Materials with Defor-mation Measurement 136
F-5. Reinforced Concrete
Beam
Test 137F-6. BondStrength of Steel inConcrete . . . . .138
F-7. TestofConcreteReinforcing Fabric 139
F-8. Cross Bending and Compression Tests of
Building Brick 139
Article8. TestsofRoad Materials 140
G-l. RattlerTestofPaving Brick
...
140G-2. Absorption Test 142
G-3. Abrasion TestofRoad Materials 142 G-4. Cementation Test of Rock or Gravel or
MaterialsofLikeNature 143
G-5. Hardness Test of Rock Road Materials
Dorry Test , 145
G-6. Standard ToughnessTestforRoadRock. . . 146
APPENDIX
I.COMMON
FORMULAS 148APPENDIX
II. SpecificationsforMaterials 151Steeland Iron 151
Methods forMetallographicTestsof Metals.
...
155x CONTENTS
PAGE A.R.E.A. Aggregates 159 Indiana State Highway Commission for Concrete
Roads ICO
APPENDIX
III. STANDARD FORMSOF TESTPIECES...
163APPENDIX
IV. STRENGTH TABLES 165IronandSteel 166
Copper andAlloys 167
StructuralTimber 168
Stoneand Brick 166
LABORATORY
MANUAL
OF
TESTING
MATERIALS
CHAPTER
IGENERAL
1.
The
student should obtain aknowledgeofmaterialsby
handlingthem and
watching their behavior understress.
From
the appearance beforeand
after test, heis led to recognize the nature of normal
and
defective samples. This knowledge will give character to thework
ofengineeringdesign,and
willbeof service inwork
of inspection.
2.
A
knowledge of the technique of testing materials should be gained,by
which hemay
know
afterwards ifproper
methods
are being usedin cases thatcome
underhis inspection,
and by
which hemay
judge the signifi-cance of results of the tests of material submitted to him.3.
A
training should result in precisemethods
of observation.4.
The
class-room instruction in Applied Mechanicswhich should precede or
accompany
this course, is rein-forced with concreteknowledgeof thingsand
properties,which are otherwise only words denned in text-books.
The
application of theoretical analysis to the testsper-formed in the laboratory
becomes
of individualinterestand
isfixed inthemind. Discrepancies betweentheoret-icaldeductions
and
results of testsof actual material as 1MATERIALS
supplied to the
market
alsobecome
evident.Many
ofthe fundamental facts relating to metals, such as the relative stiffness of hard
and
soft steel, the elevation ofthe yield point,
and
the lowering of the elastic limitthrough overstrain can also be brought to the student's notice
by
a few well-selected experiments.5.
The
report which accompanies the investigational features ofthe work, affords practice in setting forthre-sults in a clear business-like
way
and
should aid thestudent in forming at least the fundamentals of a style
which willbe later useful to him.
6.
The
student shouldrefertostandardtext-booksandspecifications to
compare
the results obtained with recorded data.A
partial list of specifications suitable for use is as follows:Specifications in Year Book of American Society for Testing
Materials.
SpecificationsinYear BookofStateHighwayCommissions.
MaterialsofConstructionbyA. P. Mills. MaterialsofConstructionbyJ. B. Johnson.
MaterialsofConstruction byThurston.
MaterialsofConstructionbyUpton.
MechanicsofMaterialsby M. Merriman. Applied Mechanicsby A. P. Poorman.
Concrete Plainand Reinforcedby Taylorand Thompson. Reinforced Concreteby G. A. Hool.
ConcreteEngineers' Handbook byHool andJohnson.
Mechanical Properties of Woods grown in the United States Bulletin No. 566 U. S. Dept. ofAgriculture.
7. Thesis
work
in testing materials presents a read}rand
attractivemedium
by
which students can receivesome
trainingin propermethods
ofplanningand
execut-ing experimental investigations.The
work
may
be individual, or performedby
groups of students,and
the expense of material is small. If the professor is interested in
some
one field of investigationand
system-atically plans for a term of years, thetheses intime are ofusein extendingknowledge.
The
method
of administering thesiswork
in generalinvolves the following steps:
A
list of problems, to which, on account of limitations of equipmentand
the desire to concentrate, thework
of the laboratory should be confined, is prepared early in the year. Thesessub-jects are generally chosen from this list
by
students.When
a subject is chosenby
a student, a thesis outline is preparedby
the professor in consultation with the student, in which the problem is clearly stated; the authorities, ifany, cited; alistofliterature, or directionsto
main
source of information given;and
themain
plan of attack fairly definitely indicated. Details of apparatus, etc., are generally left to the student.
A
studentmay
present a subject of hisown
choice.The
written thesis covers a clear
and
logical account of thepurpose of the thesis; the material tested; the
methods
and
machines, with a discussion or error; the actualresults; the analysis
and
presentation of the results;CHAPTER
IIGENERAL
INSTRUCTIONS
Preliminary Notes. In all tests, first carefully
ex-amine
the material. Measure,and
note characteristicsand
defects, ifany. Ifthis isnot donebefore thespeci-men
is broken, the test is useless.Note
the serialnumber
if any.The
character of the log sheet will be considered ingrading the report.
The
student should understand the manipulationand
readingof all instruments usedineach test.
Enough
readings shouldbe takentoaccuratelydeter-mine
the stress-strain curve. Calculate from table ofaverage strengths of materials, see appendix, the
incre-ment
of loading required to give at least 18 readings.When
quantities beingmeasured
are changing rapidly, intervalsmust
be shortened.Specimens
upon
which further observations are to bemade
should be carefullymarked and
place in assignedcase.
Ifthe reports aretobewritteninthe laboratory during the assigned period, all notes
and
data, together with unfinished reports,must
beleft inthe filing case.Operation of
Machines
During Test. Preliminary to every test, each student shouldbecome
familiar withthe operation
and
mechanism
of the testingmachine
to beused.Balancepoise at zerowithtestpiece inthe
machine
but freefrom the pulling head in every way.All readings
upon
test piece for a certain load shouldbe taken
when
thebeam
is balanced atthe loadand
atno
othertime.The
fingermay
beusedtoliftthebeam
slightlyand
so give warning which will prevent the loads being exceeded.The
speed of applying the load should be such that thebeam
may
be kept balanced, otherwise the readingswill be of doubtful accuracy.
Often after the elastic limit hasbeen reached a faster speed
may
be usedand
much
time saved.Any
consist-ent speed is allowable if the load readings are accurate,except in experiments for which the
machine
speed tobe used is stated in the instructions. Students should
be sure that
machines
are properly thrown out of gearwhen
the test isfinished.CAUTION. Testing machines have
upon
different occasions been leftby
the operators with countershaftrunning
and
the friction clutchesthrown
in, so that themachines continued running.
The
result has usuallybeen that
some
part of themachine was
broken.The
operatorwill takeespecial care that this does not occur
with machines for which he is responsible.
He
will be charged with all the repairsmade
necessaryby
careless handling.Note
Keeping.-The
standard data sheets will inmost
cases be used for note keeping. In the case ofmost
of the experiments the original log of the test willbe required as a part of the report.
Carbon
copies of the originallogmade
inthe laboratorywillbeacceptable in casethework
is of such a character that only one oftwo
men
can record the data obtained.Neat
and
orderly notes
and
test logs will be insisted upon. Reports. Reports will be written in ink or type-written on one side only of the standard 8"X
LABORATORY MANUAL OF TESTING MATERIALS
paper
and
placed in the regular manila cover.On
the outside ofthe coverwillappearthe required informationin lettering.
Clearness
and
orderof statement, legibility of writing,lettering
and
neatness will receive due attention inmarking
the report.In plotting stress-strain curves, select such a scale as can easily be read
by
inspection, in decimals. State plainly the scale of coordinates.Use
thebow
pen tocircle the points plotted,
and
draw
curves withinstru-ments.
Use
India ink for curvesand
lettering on the curve sheets.Avoid
lines from point to point.Max.
Y.P.
^ Deformation > > Deformation ^
FIG. 1. FIG. 2.
FIGS. 1 AXD 2. Stress diagrams
The
generalform of load-deformationcurve should benoted. Figure (1) represents a characteristic curve of ductile materials where the curve is
drawn
a straightline to the elastic limit averaging the plotted points.
Figure (2) represents the curve for brittle materials. Select scales of coordinates so that the slope of the portion below the elastic limitis about
60.
As
in Fig. 1when
curve does not start at origindraw
a parallellinethroughorigin totheelastic limit.
The
title of the curve sheet should be placed in thelower right-hand corner
and
should contain suchexperiment, glancing at the curve sheet, would grasp the
main
facts without aid of the written report.The
student will note carefullyany
characteristics of the curve that are peculiarand
state reasons for theirappearance
and
how
they can be avoidedifthey seem tobe errors.
INSTRUCTIONS
FOR
WRITING
REPORTS
The
clerical part of the report should be suitable forsubmissiontoa practising engineer,
who
would
naturally judgeof the qualifications of the writerby
the neatnessand
system of the report.The
sequenceand
the form in which the results are presentedmust
be suchas toenable abusyman
to ascer-tain in a fewmoments
justwhat was
doneand
what
was
determined.A
careful study should be given toeconomy oflanguage in writing the report.
SUGGESTED
FORM
OFREPORTS
Title.-
The
title should indicate brieflywhat
iscovered
by
the report.Purpose.
Under
this heading the purpose, or pur-poses, of thetests should beconcisely stated.-MaterialsTested.- Itis importantthat the materials tested should be concisely
and
definitely described. It is ordinarily sufficient to define the material as to itskind, size, shape
and
condition, althoughany
otheressentialdescriptive factsshouldbestated.
Dimensioned
sketches are frequently necessary to properly describe the test specimens. Reference should here be
made
toany
sketches, descriptive of the material, appearing inan appendix or elsewhere in the report. Give page. Apparatus. Important special apparatus, only, should belisted
and
conciselyand
accuratelydescribed.8 LABORATORY MANUAL OF TESTING MATERIALS
Diagrammatic
sketches are frequently necessary toproperly describe apparatus asused. Reference should
be here
made
to diagrams or sketches descriptive ofapparatus appearingelsewherein,thereport.
Method
of Test.Only
the essential details of the testing procedurewill beconciselyand
accurately given.It is not usually necessary to include in this division the unessentialdetails ofmanipulation
and measurement
which are
more
or lesscommon
to all experimentalwork
of this nature. It is important, however, to usegood
judgment
in the selectionand
statement of suchdetails of procedure, as to afford a proper
and
clear interpretationand
comprehension of the results obtained.Results ofTests.
The
summarized
results ofthetests should be given under this heading.The
results are usuallymost
convenientlyand
clearlyshown
insum-mary
tables. Care should be taken thatsummaries
should be accurate
and
concordant with the factsshown
elsewhere in the report. Averages should beaccompanied
by
a statement as tohow
many
and
what
data areincluded.
Discussion
and
Conclusions. Explainthesignificance of the curves used to present graphically the results ofthe tests. (It should be here emphasized that curve
sheetsshouldbeclear
and
as far as possibleself-explana-tory.)
Where
there are standard specifications for thematerial
and
test, a comparison with these standards should be shown.The
standards should be quotedand
authority
and
reference given.The
specifications ofthe
American
Society for Testing Materialsand
othernational societies should be consulted.
Comparisonswith publisheddata
by
other authorities, along similarlines, aregenerally necessaryforthe properinterpretation of the test results. Give references.
Attention should be called to the factors affecting the accuracy, uniformity
and
validity oftheresultsasshown.The
significanceand
importanceofthe testand
results should bediscussed.The
conclusionsdrawn
should take all, of the above considerationsintoaccount, particularlythosewhichare affectedby
the limitation ofthe testing apparatusused, the personal factor involved in ijiemethods
and
special or unusual characteristics, or defects, in the testspeci-mens
visibleeither before or after the completion of theCHAPTER
IIIDEFINITIONS
As
supplementingthe text-books inmechanics thefol-lowingdefinitions are recordedfor reference:
For formulas
and
symbols see Appendix.Stress is the internal, equal
and
opposite, actionand
reaction between
two
portions of a deformed body. Stress is a distributed force,and
is expressed in force units.As
in case of deformations, stresses are: (1) normal, S, either tensile(+) accompanying
a lengthen-ing of a bar, or compressive ( )accompanying
a shortening of a bar;and
(2) tangential or shearing,S
v,when
acting parallel to a sectionand
accompanying
achange of angle of the faces.
Uniformly distributed normal stress accompanies a load thatacts along ageometric axis ofabar.
Unitstress(pounds per square inch) is the
amount
ofstressper unitof areaof surface.
The
word
strainisoftenusedto express bothdeforma-tion
and
stress.When
usedbelowitmeans
deformation.Stress-strain diagrams (Fig. 3) are
drawn
from dataobtainedin testsofmaterialsinwhich gradually increas-ing loads are applied from zero until rupture occurs.
Unit deformations are
shown
as abscissae,and
unit stresses as ordinates, tension(+)
and
compression( ).
Such
diagrams display themost
important mechanicalproperties of materials. Figure 3showssev-eral such diagrams.
The
tension deformationsat small loads areshown
in magnified scale to the rightand
the12 LABORATORY MANUAL OF TESTING MATERIALS
relative values of
S
p for various materials to the left.The
stresses are not actual but nominal, because the load is dividedby
the original,and
notby
the actual,deformed area.
ELASTICITY
Elasticity is the tendency of deformed bodies to
resume their formershape.
Elastic Limit is the limit of stress within which the
deformation completely disappears after the removal of
the stress.
As
measured in tests,and
used in designthis term refers to the proportional elastic limit,
S
p,
which is the unit stress within which stresses
and
defor-mations are directly proportional.
At
the Commercial ElasticLimitor Yield Point,S
v,some
materials experiencea sudden
and
large increase of deformation withoutin-crease of stress.
S
p is from 0.75S
y (hot-rolled steel) to0.90
^^(annealed steel). Location of
S
y dependsupon
speecffrfstress.KEY
TO CURVES IN UPPER LEFT CORNER FIG. 3.CurveNo. CurveNo. CurveNo. CurveNo. CurveNo. CurveNo. CurveNo. annealed CurveNo. CurveNo. CurveNo. Curve No. CurveNo. Curve No. Curve No. Curve No. Curve No. 11
A
SoftO. H.Steel, asrolled.B
SoftO. H.Steel, oiltempered and annealed.C
SoftO. H. Steel, oiltempered.A
AxleSteel,asrolled.C
AxleSteel,oiltemperedA
O. H. Steel, forgeddisc.B
O. H. Steel, forged disc, oil tempered andC
O.H. Steel,forgeddisc, oil tempered.B
HeavySteelCasting, annealedA
Cast Copper, annealed.B
Cast Copper.C
Hard RolledCopper.Iron.
;eel Casting,rimof smallgear.
ChromeTungsten.
Hooke's
Law
states that, within the elastic limit, thedeformation produced is proportional tothe stress.
NOTE.
Unless modified, the deduced formulas ofme-chanics apply only within theelastic limit.
Beyond
thisthe formulas aremodified
by
experimentalcoefficients, asfor instance,
modulus
of rupture.Modulus
of Elasticity (pounds per square inch) is theratio of the incrementof unit stress to incrementof unit
deformationwithin the elastic limit.
The
Modulus
of Elasticity in Tension, or Young'sModulus, E, is graphically measured
by
the slope ofOP
(Fig. 3); the compressionmodulus by
the slope ofOP'.
The
inverse values ofE
for several materials express the relativeunit deformations of these materialsunder the
same
unit stress.E
is a measure of stiffness.Modulus
of Elasticity in Shear, F, is the shearingunitstressdivided
by
the angleof distortionexps^ed
in radians. Theoretically,F
=
n/2E(n
-f 1);and
when
n
=
3,F
= %E.
(SeePoisson'sratio.)Bulk
Modulus
of Elasticity, B, is the ratio of unitstress, applied to all side faces of a cube, to the unit
change of volume. Theoretically,
B
=
^
En/(n
2);and
when
n
=
3,B
-
E.Lateral Deformation, e'', accompanies longitudinal
de-formation, e. Poisson's Ratio, m, is the ratio ofe' to e.
The
inverse value ofm
isdenotedby
n,thatis,n
=
l/m.Values of
m
givenby
Unwin
are: Flint Glass, 0.244; Brass, 0.333; Copper, 0.333; Cast Iron, 0.270;Wrought
Iron, 0.278; Steel,0.303; Concrete, accordingtoTalbot,
0.10.
Change of volume, under
long^J^nal
deformation./, d, b,
=
length, widthand
thicflHs;m
=
Poisson'sratio; s
=
unit deformation.Deformed volume
-
sms)b(l14 LABORATORY MANUAL OF TESTING MATERIALS
Fractional change of
volume
=
(1 2m)s.When
m
isless than J^ the
volume
is increased in tensionand
decreased in compression.
For
steel,(m
=
}),
changeof
volume
is about J^ooo part at the elastic limit.A
barunderstress does notat once assumethe lengthdue to its
modulus
of elasticity E. Deformationpro-ceedsfordays
and
weeks. Thesephenomena
ofresidualelasticityorelasticafterworkingdonot
seem
tobeofprac-tical importance.
RESILIENCE
Resilience,
K,
(inch-pound) is the potential elasticenergy stored
up
in a deformed body.For
instance, afalling weight compresses aspring; the stored energy, or
resilience, of the material is a source of
work and
willproduce returnmotionin the weight.
The
amount
ofresilience i equal to thework
requiredto deform the
volume
of material from zero stress to stress S.For longitudinal deformation ^Fig. 3),
P
load,e
=
deformation,S
unit stress,E
=
modulus
ofelasticity, I
=
length,A
=
area cross section,V
=
volume. Resilience
=
work
of deformation=
averageforce
X
deformation=
%Pe
=
^AS
Sl/E, orK
=
vy
2&/E.
The
resilienceforany
otherkindof stresssuchasshear-ing, bending, torsion, is the
volume
times a constantC
times one-half the square of the stress dividedby
the appropriatemodulus
of elasticity.Resilience of solids of varying section cannot be ex-pressed per unit ojayolume.
Modulus
of rWMfence,K
p (inch-pounds per cubicinch), or unitresilience, is theelasticenergy stored
up
indeformation
K
p is graphically measuredby
the areaOPP".
(Fig. 3.)K
p=
H
S*/E.RESILIENCE PER UNIT OF VOLUME
K
S= longitudinalstress,Sv= shearingstress,E = tensionmodulusofelasticity, F = shearingmodulusofelastfcity
The
unit resilience storedup
at a stress beyond theelastic limit is measured
by
the area of the triangleS"SS
f(Fig. 3).
Unit rupture work,
K
r, sometimes called UltimateResilience, ismeasured
by
the areaofthe stress-deforma-tion diagram to rupture,OPYMRR',
(Fig. 3).K
r=
y$ eu (Sy+2S
m)....
approx. (G)Here
eu=
the unit elongation at rupture.27
Forstructural steel,for instance,
K
r=
%
nT (35,000+2
X
60,000)=
13,950 (inch-pounds per cubic inch).CHAPTER
IV
MATERIAL STRESSED
BEYOND
THE
ELASTIC
LIMIT
Beyond
elastic limit in tensionS
p, ductile materialslike steel enter a semi-plastic stage.
The
materialstretchesfrom
Y
toL
(Fig. 3) without increase ofstress,and
the scalebeam
of the testing machine "drops,"and
thehardmill-scalefallsfrombar. Yielding proceedsfrom eithershoulder of barto center. Steel shows both
S
pand
S
v; cast iron, neitherS
y norS
p;wood and
hardened steel,
S
P) but noS
y.The
shapeofthe diagram fromS
ptoS
vdependsupon
speedofstress.
Ewing
foundfulllineforfast,and
dottedline, forvery slow, speed (Fig. 3).
After
L
semi-plasticand
semi-elastic deformations pro-ceed.One
orseveral contractions of cross section occurdepending
upon
homogeneity of metal.The
maximum
load is reached at
M
(Fig. 3)when
the metal at one of these contractions begins to flow.The
contraction or"neck"
proceedsuntilbar rupturesatR.The
characterof the metal changes under this excessive deformation, and, therefore, the actualstress
on
the ruptured sectionisnot of practicalimportance,
and
is not observed.Ultimate strength
S
m= maximum
load/original area.The
elongationand
contraction after rupture are observed.The
loadmay
be released at intervals to observe theset,
OS"
(Fig. 3).Fracture under tension indicates quality of
mate-rial, butisinfluenced
by
speedand
method
ofproducingfracture,
and by
shape of test piece.A
metal that istough
and
fibrousmay
appear crystalline if brokenquickly at a nicked section. Contraction is greatest in tough
and
ductile,and
least in brittle, materials.The
shape of fracture is usually a center flat surface offailure in tension surrounded
by
a rimon
which themetalshears.
The
extentoftherim ismore
pronouncedwhen
the ratio of shearing to tensile strength is less;is
more
developed in soft steels; becomes a completecone in very soft materials;
and
vanishes in cast iron.The
color, grainand
shear of the fracture areinsignifi-cant.
Forms
offracture intension areshown
in Fig. 4.Terms
describing fracture are: silky, dull, granular,crystalline, fibrous.
Failure under compression depends on material,
slenderness of specimen,
and
restraint at ends or sides.Short blocks of brittle materials in compression like cast
iron, stone, cement,
when
unconfinedatthe sides, failby
slidingalong inclined planes.
The
angle of these planes is a function of the shearing stressand
of the coefficientof friction ofthematerial.
The
theoreticalangleof frac-ture,with thecrosssectionis?r/4 -f- 0/2 where < isangle ofreposeofmaterial. Internal cones,with theirbasesat the pressureheadsofthetestingmachines,and
pyramids,form in cylindrical
and
rectangular specimensrespectively.
Ductile or soft material, like copper
and
soft steel,cannot be ruptured in compression.
They
bulge,in-crease in diameter under increasing stress,
and
finallybecome
plastic at the stressoffluidity.That
is, thede-formation proceeds under a constant actual stress, per unitof deformedarea,
and
ispermanent.18 LABORATORY MANUAL OF TESTING MATERIALS
The
productofdeformationand
load (ornormalstress) is then constant,and
is expressedby
a rectangular hyperbola.The
outer portions of the stress straindiagram forlead
and
copperin Fig. 3 areapproximately hyperbolic.Unwin
quotes the following values for pressure offluidity in pounds persquareinch.
Mild
steel, 112,000;Copper
54,000;Lead
1700. Experimentby Hatt
givesfor wrought iron, 76,000.
The
strength of materials ofmedium
ductility, likesteel
and
wrought iron, in compression is generally tobe taken at the yield point of thematerial.
r\r\
^m
U
I / Copper Wrought Cast Stone Wood
Iron Iron Steel
FIG.4. Characteristic fractures of materials in tension and compression.
Strength under compression depends on ratio of length to diameterof specimen.
The
cornpressive strength of stoneand
concrete isabout 10times thetensile strength.
Fracture forms for several materials in compression
are
shown
in Fig. 4.Failureunder pure shearis difficult toproduce.
The
common
form of test introduces bending stresses.Ratioofshearing strength tocompressive strength is
notwelldetermined.
For
concreteand
brittlematerials this ratioisreported tovary from 0.32to 1.25.The
ultimate shearing strength of steeland
iron isnearly three quartersofitstensile strength.
Hancock's Tests (Proc.
Am.
Soc. Test.Mat.
1908,p. 376)
show
that the shearing elastic limit ofsteeland
iron, determined in torsion, is 0.50 to 0.57 the
propor-tional elastic limit in tension.
Failure of steel at or abovetheelastic limit is
accom-panied
by
appearance ofHartmanris
lines onpolished surfaces. These linesmake
an angle, with the axis of a tension bar, of 63 for softsteel,and
58 forannealedsteel.
They
indicate a slippage along the cleavageplanes of the crystals ofthe metal. Steel consists of
an
aggregation of crystalline grains separated
by
films ormembranes
of material of different compositions.Un-der this view failure in tension or compression is essentially a failure under shearing stress modified
by
internalfriction.CHAPTER
V
TESTING
AND
TESTING
MACHINES
Technical qualities of materials
may
be grouped as: Technological, having to do with manufacturingre-quirements, such as malleability, fusibility,forgeability,
bendingtoshape.
Physical, such as specific gravity, plasticity,
homo-geneity, durability, structural characteristics, including fibrous, crystalline.
Mechanical properties examined in tests. These are
listed in table below, together with criteria
commonly
used.
Plasticity...!Theabsence of elasticity. Defornj without Lead,
return or rupture. 20
TESTING MACHINES
Testing Machines
must
be accurateand
sensitive.Accuracy depends on correct lever proportioning, condition of knife edges,
and
stiffness of levers. (SeeExperiment A-2.)
Forsensitiveness knife edges should be of smallradius,
and
straight,and
stiff. Knife edge machinesare usuallymore
sensitive than necessary.Machines
should beexamined for clearance of levers from frame of machine.
(See Experiment A-2.)
Specimens under test should not be subject to shocks or vibrations arising from the
power
elements of the machine, as forinstance inertia of leverswhen
specimentakessuddenelongation, or
by
the action ofthepump
in setting abody
of liquid inmotion.Machines
vary in capacity from wire tester of 600 Ib.capacity to U. S. Govt. machines of 10,000,000 Ib.
capacity in compression. For ordinary use in a
com-mercial laboratory, a machine of 200,000 Ib. capacity is
most
suitable. For instruction ofstudents a machine of 30,000 Ib. capacity ismost
convenient.The
present limit of screw-power scalebeam
machines for tensionand
compression is 1,000,000Ib.The
following table of large capacity testing machinesistakenfromanarticle
by
E.L.Lasierinthe proceedingsof the
American
Society of Testing Materials, 1913.Static testingmachines
must
provide propermeans
for(a) holding specimen, (6)applying load,
and
(c) weighingthe load. Mechanical problems of gearing, absorbing shock, and oiling
must
besolved.(a)
HOLDING
THE SPECIMEN
Tension
and
Compression. It is important in testing22 LABORATORY MANUAL OF TESTING MATERIALS
OSO ffiO 'O 00is.
b->-i O O
OC
O00O O5O Gi GS C^
fit
<uoo>III
es^sessssss&s
saCuCCCGflCCCMC
csaJco3c8c8o3cSc8ci3a!a3 13 13 "3 la Is 13 Is"c13S13 . -S^"3 S 2SU'U
MWW
WfflW W 333 ^ ^ 222 2 jooooo;lllll 111
:* : :S : 88rf ^ -CO^-11
ill
ill
;IM22fiiiIl!*
;<s21:
S 5-2ci ssls-s^ ^n..j" 5MACHINES 23
FIG.5. Universaljoint forholding screw endtestpiece in tension,
HeadofMachine
'A
Bedding\S
V >/ %?%!%%!%%%^^ BaseofMachineIfia.6. Spherical bearingplateand methodofsupporting test piece in
24 LABORATORY MANUAL OF TESTING MATERIALS
is applied as nearly as possible in the axis of the test
piece. This implies that the specimen should be
ac-curately centered in the testing machine.
The
common
method
of holding the test bar isby
serrated wedgeswith flat face, which is suitable for ductile materials.
Forbrittlematerials, or short specimens, it is customary
to use a spherical, or universal, joint betweenthe
speci-men
and
the testing machine. These if correctlydesigned do
away
with bendingand
buckling in the specimen.Incorrect
Correct
FIG.7.' Methodofgrippingtestspecimenin tension.
Fig. 5
and
6 illustrate the adaptation of the universal joint to tensionand
compression tests.1Fig. 5 shows a convenient apparatus for gripping the standard short screw-end test piece
and
Fig. 6 shows thecommon
method
of supporting concrete or other like material incompression.
A
bedding of Plaster of Paris or blottingpaper is used between the specimen
and
the surfaces of the machine, to give an even application of the load. Fig. 7 indicatesa correctand
anincorrectway
to grip a specimen in tension.The
test piece should extend1NOTE
: For compressiontests ofconcrete the spherical bearing
MACHINES 25
through the grips and these should have their full
bearing overtheir entirelengthintheheadsofthetesting
machine.
FIG.8. Anapparatusfor testing smallbeamsinflexure.
FIG.9. Amethodof testing largebeamsinflexure.
Flexure tests require freedom of specimen to
bend
26 LABORATORY MANUAL OF TESTING MATERIALS
specimen. In case an auxiliary straining
beam
in used,rollers are especially necessary to prevent
compounding
of straining
beam
and
specimen through the horizontal shearat the loading points.Figs. 8
and
9show
apparatus as usedby
the Forest Serviceinthetestsof timber, InFig. 8,thesupportingbeam
is conveniently laid across the weighing table of a small capacitytestingmachine.The
rollersand
platesFIG.10. Ashearingapparatusforwood.
between supports
and
specimen prevent local failureand
binding at the supports.Intesting largebeams, Fig. 9, it iscustomarytoapply the loads at the third points
by means
ofan
auxiliarybeam
with rollersand
plates.The
knife edge supportsare, in this case, so constructed that theyrock freely as
the
beam
bendsdownward.
ShearTests. Shearing shackles
and
toolsshouldpro-duce pure shear without bending. Fig. 10 shows a simple
and
reliable shearing tool for tests of timber.testing
machine and
the plungercomes
in direct contact with the underside of themovable
head.; (b)
METHOD
OFAPPLYING THE
LOAD
Loads
are applied mainlyby
screwpower
(Olsen orRiehle); or (2) hydraulic
power (Emery
or Amsler).Fio. 11. Diagrammatic view ofa Riehld testing machine. (Modified frojn
Marten'sHandbookofTestingMaterials.)
Screw
Machines.-American
machinesarecommonly
of screw power. Old screw machines should be
ex-amined
to see if the wear of the threads produces anoscillatorymotion ofthetestingheads.
Fig. 11 represents
by
diagram a Riehle testing ma-chine. This is a two-screw machine.By
rotation of28 LABORATORY MANUAL OF TESTING MATERIALS
the screwsabouttheir axes,thepullingheadis
moved
up
and
down. Suitable gearinggives a variety ofspeedsineither direction.
Fig. 12 shows an Olsen machine. This is generally
a four-screw machine, sometimes three. In this type,
the pulling head is
made
tomove
up
or clownby
the rotation of large geared nuts stationary in the base ofFIG. 12. DiagrammaticviewofanOlsen machine. (Modified from Marten's
HandbookofTestingMaterials.)
the machine.
Through
these nuts pass themain
screws to which is attached the pulling head.The
screws donot turn on their axes.
Hydraulic
Machines
Hydraulic machines,now
becoming
more
popular, havemany
advantages inpower
plant for laboratory! These sometimes involve friction of packing in cylinder, which is not importantin large machines,
and
which is obviated in smallma-chines (Amsler)
by
useofafloatingpistonand
a viscousfluid likecastoroil. Proper provision shouldbe
made
tohold a steady load.
Fig. 13 shows the Amsler machine of small capacity.
FIG.13. DiagramofAmslertestingmachine. (FromWawrziniok.)
As
shown, the machine is equipped with ahand
pump
and
a mercurycolumn
load indicating device.To
the right isshown
themore
common
pendulum method
of indicating load.Fig. 14 is a diagrammatic sketch of a vertical
Emery
testing machine.The
hydraulic cylinderA
is fixed to30 LABORATORY MANUAL OF TESTING MATERIALS
the frame
D
ofthe machineby
themain
rodsSS.The
plunger
B
is attached to the gripping apparatus.The
weighing system is independent of the
power
system.Impact Machines.-
Impact
testing machines are (1)with vertical guides, or (2) of
pendulum
type. Pro-vision should be formeas-uring energy remaining in
hammer
after rupture of specimen.For
thispur-pose, the
hammer may
fallon a spring (Fremont
ma-chine),or,apencil attached tothehammer
may
writea velocity displacement
curve on a revolving
drum
(Turnermachine).
Method
of releaseand
hoistand
mechanical details differ.
Machines
should beex-amined
for: (a) fit ofham-mer
in guides; friction;proportion of height of
hammer
to clearwidthbe-tweenguides;proportionof
weight of
hammer
to foun-dation; perfection of release; shape of striking edge.Hammer
should deform specimen as a whole. Loss ofenergy at surface of impact
and
in foundation due to inertia of specimen should besmall.Fig. 15 illustrates the Turner vertical type of impact
machineasused
by
theForest Serviceinimpact bendingof small specimens.
The
pencil on the fallinghammer
makes
a record on the revolvingdrum.The drum
record, Fig. 16, represents a test of a spcci-FIG. 14. DiagramofaverticalEmerymen
broken in seven blows of increasing heights ofhammer
drop.The
record gives the rebound heightsand
the deflectionand
set ofthebeam
foreach blow.The drum
record, Fig. 17, represents a test ofaspeci-men
broken ina singleblow of thehammer.
The drum
velocity is givenby
the tuning fork recordT-T.
The
FIG.15. TheTurner impact machine.
datum
line0-0
is the position of thehammer
at instant of striking the specimen.The
velocity of thehammer
at that pointmay
be obtained from the slope of the curve at the point of crossing. Distanceup
from thedatum
linerepresentsfreefallofthehammer.
Distancedown
from thedatum
line to point of ruptureC
repre-sents restrained fall of thehammer
and
deformation32 LABORATORY MANUAL OF TESTING MATERIALS
of the specimen.
Below
the point of rupture, theham-mer
has free fall and the residual energymay
becom-puted from the velocity as given by the curveslope.
Endurance
Machines.The
ability of metals towithstand a rapid reversion of stress is an important
property. Heat-treated automobile or other machine
Fro. 1C. Drum record, Turnerimpactmachine. Specimenbrokenby seven
blowsofhammer.
parts are tested for this quality
by means
of theendur-ancetesting machine as
shown
in Fig. 18.The
test piece A, accuratelymachined
to sizeand
shape, is rigidly gripped in the pulley B.
The
pulleyisseated
and
free toturnin ball bearingsin theframeF.FIG. 17. Drum record, Turnerimpact machine. Specimenbroken in single blow.
34 LABORATORY MANUAL OP TESTING MATERIALS
standards, a load
may
be applied to each end of thetest specimen.
The
pulley ismade
to rotateby
belt connection toa motor.The
speedof rotationis usually1300 r.p.m.
The
stress in the topand bottom
isalter-nately tension
and
compression in rapid succession.Complete
failure occurs at the edge of the fillets after avarying
number
of revolutionsand
at a stressbelow theelastic limit ofthe metal.
Special Test. Hardness is not well defined, nor
uniformly measured.
Unwin
defines it as resistance topermanent
or plastic deformation. In this definitionit is distinguished fromresistance to abrasion which is a
compound
of other qualities.The
best test forhardness is theBrinell Ball test.A
hardened spherical ball (10
mm.
diam.), is forced into aflatsurfaceunderastaticpressureof3000kg.
and
500kg. for soft metals.The
time of pressure should be atleast 30 seconds.
The
specimen is 10mm.
thickand
35mm.
wide. Hardness=
pressure / curved area of de-pression.A
fixed ratio existsbetweenhardnessand
ten-acity ofsteels.Martens
uses thedepthofthe impression.With
balls 5mm.
in diameter the ratio of load todepthisconstant within adepth rangeof0.05
mm.
The
hardnessnumber
isthe load necessarytoindent material to 0.05mm.
For
instance, Brinell hardnessnumber
is as follows.Acid Bessemer steel, carbon 0.10, hardness
number:
rolled, 100; annealed, 96. Basic Bessemer steel, carbon
0.12, hardness
number:
rolled, 76; annealed, 81.A
more
recently perfectedmethod
for determinations of hardness isby means
of the Scleroscope. In this instrument the height of rebound of a smalldiamond
pointed tup istaken as a measureof the hardnessof the surface
upon
which it is caused to fall.The
height ofdrop is a fixed distance.
The
area of contact of thediamond
point is so small that the metalupon
which itstrikesis stressed
beyond
the elastic limit.The
tensile strength of steel in pounds per squareinchis obtainedfrom the following equations.
TABLE 1. EQUATIONS CONNECTING
MAXIMUM
STRENGTH AND BRINELL NUMBERSKindof steel Equations
TABLE 11. EQUATIONS CONNECTING
MAXIMUM
STRENGTH AND SCLEROSCOPE NUMBERSKindofsteel Equations
M
ismaximum
strength in 1000pound
per squareinch units.
Reference. Proceedings of the
American
Society for Testing Materials, 1915.(c)
WEIGHING MECHANISMS
1.
The
most
common
type is the lever system.These are illustrated in Figs. 11
and
12, diagrammaticLABORATORY MANUAL OF TESTING MATERIALS
All lever bearings
and
connections are hardened steelknife edges
and
plates.Load
is indicatedby
the posi-tion ofthepoise p on theweighing beam.2.
A
gage or manometriccolumn
indicates the pres-sureinthe cylinderofhydraulic machines.Sometimes
apendulum
lever isemployed
to serve thesame
purpose.These types are
illus-trated in Fig. 13 in the
diagram of the Amsler machine.
3.
The
pressure from the weighing table istransmitted to a hy-draulic pad H, in Fig.
14,
and
thencetoamano-metric
column
or as inthe
Emery
machine,toa separate lever system the fulchra of whichareelastic plates.
4.
A
lesscommon
type is that in which the de-formations of a portion of the frameof thema-chine are
measured.
FIG.19.The
loadisindicatedby
a measuring apparatusor
by
the change involume
of a hydraulicchamber
which inturn isrecordedonafluidcolumn.
A
diagram-matic view of thisis
shown
in Fig. 19.The
viewshows one of themain
rodsB-B
of the machine. This is fixed totheframeA
ofthe machine.As
the loadcomes
on B, the deformation of
B
changes thevolume
of theTESTING AND TESTING MACHINES
other convenient means.
The
load value of the columnis determined
by
calibration.EXTENSOMETERS AND OTHER DEFORMATION
INSTRUMENTS
For the determinations of yield point of tension bars
and
deflection of beams, instruments reading to 0.01 in.are sufficient.
But
for the determination of elasticFIG.20. Yale-Richl6 extensometer. FIG. 21. Johnsonrollercxtensomcler.
limit
and modulus
of elasticityand
formany
otherpurposes, deformation instruments reading to 0.0001 in. are required*
Extensometers
may
be classified:1. Micrometer screw, see Fig. 20. These are very
38 LABORATORY MANUAL OF TESTING MATERIALS
v\
FIG.22. Marten's mirror extensometer.
usedfor practical work.
The
contact ofthe micrometerpointsis best determined
by means
of an electric circuitand
a telephone receiver in series.2. Roller dial (Johnson type), See Fig. 21.
A
simpleEnlargedHoUforBerrySt"
Gage,inSteelBar
FIG. 23a.
ert iuConcretet'erCompression
FIG. 235.
A
type for laboratory use but unreliable
on
account of slippage at the roller. Thereisalso errorintroducedby
the wear of the roller.
The
readings are given directon the dials.
3. Roller mirror, see Fig. 22.
Thisisverydelicate
and
reliable,butunsuitedtostudentorroutine
work
of thelaboratory.The
in-strument
must
be used wherethere islittle vibrationorjar. 4. Lever type,examplesofthese are the Olsen
Ewing and
Berry.The
last of these is particularlywelladapted to alargevarietyof practical
work
both in the lab-oratoryand
inthefield. InFig.23 is
shown
this instrument asmade
with contact pointsforuse inreinforced concretework and
with adjustable gage length.
The
contact points are placed in small counter-bored holes in the testpiece. In
some
cases, the instrumentmay
be fixedand
held in testing position throughout the loading,FIG. 23c. Extensometer
40 LABORATORY MANUAL OP TESTING MATERIALS
but generally it is
removed
after each reading is taken. In using the instrument, proper correctionmust
bemade
for changes in temperature.The
instrument reads directly to 0.0002 in.and
closerby
estimation of parts of a graduated division.The
following precautionsaretakeninusing theBerry strain gauge:1.
The
instrument is seated in the hole 5 timesforanobserved length.
2.
A
preliminary series is taken innew
holes.FIG. 24. Diagrammaticrepresentationofan Olsendeflectioninstrument. 3. After five sets of readings, the instrument is read
ona standard bartocheck
up
changesinthe instrument.4.
To
reduce observations for temperature changes, readings aremade
on a specimen which is without load,and
whichisexposedinthesame
manner
asthespecimenundertest.
5.
A
single observer shouldmake
any
set of readingsand
alwaysin thesame
order.6.
The
instrumentshouldbeapplied at right anglesto the barand
with uniform pressure.Compressometers.
The
simplest type ofcompres-someter is
shown by
diagram in Fig. 24; this is a good practical instrument for rough work. It reads directly to 0.01 in.and
by
estimation to 0.001 in.Fig. 25 illustrates an instrument designed for closer
more
accurate determinations. This compressometerneedsvery carefulhandlingfor the bestresults. Better service
may
be accomplishedby
replacing the electric bellby
a telephone receiver, to give the micrometer contact.The
instrument reads directly to 0.0001 in.FIG. 25. TheOlsen compressometer.
A
compressometer for short columns oftimberwhich has been found very useful for studentwork by
the authors, isshown
in Fig. 26.Two
yokes bearingAmes
dialsareattached tothespecimenby
fourcontact screws each.As
the pieceis deformed, the readings are givenon both sides
by
theAmes
dials. These read direct to 0.001 in.and by
estimation to 0.0001.42 LABORATORY MANUAL OF TESTING MATERIALS
FIG. 26. Author's compression instrumentfor shortwoodcolumns.
Autographic
Recording
Apparatus.A
drum, Fig27, is fixedon the frame ofthe testing
machine
and
putin gear with the specimen so that the rotation of the
drum
isproportionalto thestretch ofthe specimen.A
pencil in gear with the poisemoves
parallel to the axis of thedrum.As
the test proceeds, the diagram on thedrum
hasabscissae of deformationand
ordinatesof load. Insome
types, the poise is replacedby
a spring at theend of the scale beam.
As
the load isapplied thescalebeam
risesand
the spring measures the load.The
riseofthe
beam
actuates thepencilonthedrum. This typeyields delicate load measurements.
A
home-made
simple autographic device ismade
of a steam-engineindicator onthis plan.
Autographicrecorders are notsuitable for thedelicate